TSTP Solution File: SYO572^7 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO572^7 : TPTP v7.5.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n032.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 289.74s 290.06s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYO572^7 : TPTP v7.5.0. Released v5.5.0.
% 0.00/0.09  % Command    : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.28  % Computer   : n032.cluster.edu
% 0.09/0.28  % Model      : x86_64 x86_64
% 0.09/0.28  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % RAMPerCPU  : 8042.1875MB
% 0.09/0.28  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % DateTime   : Sun Mar 13 21:34:49 EDT 2022
% 0.09/0.28  % CPUTime    : 
% 0.14/0.29  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.14/0.29  Python 2.7.5
% 0.14/0.50  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.14/0.50  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL015^0.ax, trying next directory
% 0.14/0.50  FOF formula (<kernel.Constant object at 0x2b64f0a66cf8>, <kernel.Type object at 0x2b64f0a66a70>) of role type named mu_type
% 0.14/0.50  Using role type
% 0.14/0.50  Declaring mu:Type
% 0.14/0.50  FOF formula (<kernel.Constant object at 0x2b64f0a66cb0>, <kernel.DependentProduct object at 0x2b64f0a66cf8>) of role type named qmltpeq_type
% 0.14/0.50  Using role type
% 0.14/0.50  Declaring qmltpeq:(mu->(mu->(fofType->Prop)))
% 0.14/0.50  FOF formula (<kernel.Constant object at 0x2b64f0a667a0>, <kernel.DependentProduct object at 0x2b64f0a66440>) of role type named meq_prop_type
% 0.14/0.50  Using role type
% 0.14/0.50  Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.14/0.50  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
% 0.14/0.50  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))))
% 0.14/0.50  Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.14/0.50  FOF formula (<kernel.Constant object at 0x2b64f0a667e8>, <kernel.DependentProduct object at 0x2b64f0a66680>) of role type named mnot_type
% 0.14/0.50  Using role type
% 0.14/0.50  Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.14/0.50  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.14/0.50  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.14/0.50  Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.14/0.50  FOF formula (<kernel.Constant object at 0x2b64f0a66680>, <kernel.DependentProduct object at 0x2b64f0a660e0>) of role type named mor_type
% 0.14/0.50  Using role type
% 0.14/0.50  Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.14/0.50  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
% 0.14/0.50  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))))
% 0.14/0.50  Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.14/0.50  FOF formula (<kernel.Constant object at 0x2b64f0a660e0>, <kernel.DependentProduct object at 0x2b64f0a66488>) of role type named mbox_type
% 0.14/0.50  Using role type
% 0.14/0.50  Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.14/0.50  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
% 0.14/0.50  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)))))
% 0.14/0.50  Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.14/0.50  FOF formula (<kernel.Constant object at 0x2b64f8524cf8>, <kernel.DependentProduct object at 0x2b64f0a663b0>) of role type named mforall_prop_type
% 0.14/0.50  Using role type
% 0.14/0.50  Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.14/0.50  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
% 0.14/0.50  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))))
% 0.14/0.50  Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.14/0.51  FOF formula (<kernel.Constant object at 0x2b64f0a660e0>, <kernel.DependentProduct object at 0x2b64f0a66248>) of role type named mtrue_type
% 0.14/0.51  Using role type
% 0.14/0.51  Declaring mtrue:(fofType->Prop)
% 0.14/0.51  FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.14/0.51  A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.14/0.51  Defined: mtrue:=(fun (W:fofType)=> True)
% 0.14/0.51  FOF formula (<kernel.Constant object at 0x2b64f0a66248>, <kernel.DependentProduct object at 0x2b64f0a66098>) of role type named mfalse_type
% 0.14/0.51  Using role type
% 0.14/0.51  Declaring mfalse:(fofType->Prop)
% 0.14/0.51  FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.14/0.51  A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.14/0.51  Defined: mfalse:=(mnot mtrue)
% 0.14/0.51  FOF formula (<kernel.Constant object at 0x2b64f0a66170>, <kernel.DependentProduct object at 0x2b64f0a66098>) of role type named mand_type
% 0.14/0.51  Using role type
% 0.14/0.51  Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.14/0.51  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
% 0.14/0.51  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.14/0.51  Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.14/0.51  FOF formula (<kernel.Constant object at 0x1ed28c0>, <kernel.DependentProduct object at 0x2b64f0a661b8>) of role type named mimplies_type
% 0.14/0.51  Using role type
% 0.14/0.51  Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.14/0.51  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
% 0.14/0.51  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.14/0.51  Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.14/0.51  FOF formula (<kernel.Constant object at 0x1ed2cb0>, <kernel.DependentProduct object at 0x2b64f0a66050>) of role type named mimplied_type
% 0.14/0.51  Using role type
% 0.14/0.51  Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.14/0.51  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
% 0.14/0.51  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.14/0.51  Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.14/0.51  FOF formula (<kernel.Constant object at 0x2b64f0a66050>, <kernel.DependentProduct object at 0x2b64f0a663b0>) of role type named mequiv_type
% 0.14/0.51  Using role type
% 0.14/0.51  Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.14/0.51  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
% 0.14/0.51  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))))
% 0.14/0.51  Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.14/0.51  FOF formula (<kernel.Constant object at 0x2b64f0a663b0>, <kernel.DependentProduct object at 0x2b64f0a667e8>) of role type named mxor_type
% 0.14/0.51  Using role type
% 0.14/0.51  Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.14/0.51  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
% 0.14/0.51  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.14/0.51  Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.14/0.51  FOF formula (<kernel.Constant object at 0x2b64f0a667e8>, <kernel.DependentProduct object at 0x2b64f0a661b8>) of role type named mdia_type
% 0.14/0.51  Using role type
% 0.14/0.51  Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.14/0.51  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
% 0.14/0.51  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)))))
% 0.14/0.51  Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.14/0.51  FOF formula (<kernel.Constant object at 0x2b64f0a667e8>, <kernel.DependentProduct object at 0x1c2dcf8>) of role type named exists_in_world_type
% 0.14/0.51  Using role type
% 0.14/0.51  Declaring exists_in_world:(mu->(fofType->Prop))
% 0.14/0.51  FOF formula (forall (V:fofType), ((ex mu) (fun (X:mu)=> ((exists_in_world X) V)))) of role axiom named nonempty_ax
% 0.14/0.51  A new axiom: (forall (V:fofType), ((ex mu) (fun (X:mu)=> ((exists_in_world X) V))))
% 0.14/0.51  FOF formula (<kernel.Constant object at 0x2b64f0a66680>, <kernel.DependentProduct object at 0x1c2dd88>) of role type named mforall_ind_type
% 0.14/0.51  Using role type
% 0.14/0.51  Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.14/0.51  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
% 0.14/0.51  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)))))
% 0.14/0.51  Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), (((exists_in_world X) W)->((Phi X) W))))
% 0.14/0.51  FOF formula (<kernel.Constant object at 0x1c36998>, <kernel.DependentProduct object at 0x1c2df38>) of role type named mexists_ind_type
% 0.14/0.51  Using role type
% 0.14/0.51  Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.14/0.51  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
% 0.14/0.51  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)))))))
% 0.14/0.51  Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.14/0.51  FOF formula (<kernel.Constant object at 0x1c36998>, <kernel.DependentProduct object at 0x2b64f0a641b8>) of role type named mexists_prop_type
% 0.14/0.51  Using role type
% 0.14/0.51  Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.14/0.51  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
% 0.14/0.51  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)))))))
% 0.14/0.51  Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.14/0.51  FOF formula (<kernel.Constant object at 0x1c2dcf8>, <kernel.DependentProduct object at 0x2b64f0a64368>) of role type named mreflexive_type
% 0.14/0.51  Using role type
% 0.14/0.51  Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.14/0.51  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.14/0.51  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.14/0.52  Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.14/0.52  FOF formula (<kernel.Constant object at 0x1c2dcf8>, <kernel.DependentProduct object at 0x2b64f0a64440>) of role type named msymmetric_type
% 0.14/0.52  Using role type
% 0.14/0.52  Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.14/0.52  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
% 0.14/0.52  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)))))
% 0.14/0.52  Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.14/0.52  FOF formula (<kernel.Constant object at 0x1c2dcf8>, <kernel.DependentProduct object at 0x2b64f0a64368>) of role type named mserial_type
% 0.14/0.52  Using role type
% 0.14/0.52  Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.14/0.52  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
% 0.14/0.52  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))))))
% 0.14/0.52  Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.14/0.52  FOF formula (<kernel.Constant object at 0x2b64f0a64368>, <kernel.DependentProduct object at 0x2b64f0a642d8>) of role type named mtransitive_type
% 0.14/0.52  Using role type
% 0.14/0.52  Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.14/0.52  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
% 0.14/0.52  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)))))
% 0.14/0.52  Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.14/0.52  FOF formula (<kernel.Constant object at 0x2b64f0a642d8>, <kernel.DependentProduct object at 0x2b64f0a64170>) of role type named meuclidean_type
% 0.14/0.52  Using role type
% 0.14/0.52  Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.14/0.52  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
% 0.14/0.52  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)))))
% 0.14/0.52  Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.14/0.52  FOF formula (<kernel.Constant object at 0x2b64f0a64170>, <kernel.DependentProduct object at 0x2b64f0a643b0>) of role type named mpartially_functional_type
% 0.14/0.52  Using role type
% 0.14/0.52  Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.14/0.52  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
% 0.14/0.52  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)))))
% 0.14/0.52  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))))
% 0.14/0.52  FOF formula (<kernel.Constant object at 0x2b64f0a643b0>, <kernel.DependentProduct object at 0x2b64f0a64908>) of role type named mfunctional_type
% 0.14/0.53  Using role type
% 0.14/0.53  Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.14/0.53  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
% 0.14/0.53  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)))))))))
% 0.14/0.53  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))))))))
% 0.14/0.53  FOF formula (<kernel.Constant object at 0x2b64f0a64908>, <kernel.DependentProduct object at 0x2b64f0a64998>) of role type named mweakly_dense_type
% 0.14/0.53  Using role type
% 0.14/0.53  Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.14/0.53  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
% 0.14/0.53  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)))))))))
% 0.14/0.53  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))))))))
% 0.14/0.53  FOF formula (<kernel.Constant object at 0x2b64f0a64998>, <kernel.DependentProduct object at 0x2b64f0a64170>) of role type named mweakly_connected_type
% 0.14/0.53  Using role type
% 0.14/0.53  Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.14/0.53  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
% 0.14/0.53  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))))))
% 0.14/0.53  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)))))
% 0.14/0.53  FOF formula (<kernel.Constant object at 0x2b64f0a64170>, <kernel.DependentProduct object at 0x2b64f0a64d88>) of role type named mweakly_directed_type
% 0.14/0.53  Using role type
% 0.14/0.53  Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.14/0.53  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
% 0.14/0.53  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))))))))
% 0.14/0.53  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)))))))
% 0.14/0.53  FOF formula (<kernel.Constant object at 0x2b64f0a64128>, <kernel.DependentProduct object at 0x2b64f0a64c20>) of role type named mvalid_type
% 0.14/0.53  Using role type
% 0.14/0.53  Declaring mvalid:((fofType->Prop)->Prop)
% 0.14/0.53  FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.14/0.53  A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.14/0.54  Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.14/0.54  FOF formula (<kernel.Constant object at 0x2b64f0a64170>, <kernel.DependentProduct object at 0x2b64f0a648c0>) of role type named msatisfiable_type
% 0.14/0.54  Using role type
% 0.14/0.54  Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.14/0.54  FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.14/0.54  A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.14/0.54  Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.14/0.54  FOF formula (<kernel.Constant object at 0x2b64f0a64c20>, <kernel.DependentProduct object at 0x2b64f0a649e0>) of role type named mcountersatisfiable_type
% 0.14/0.54  Using role type
% 0.14/0.54  Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.14/0.54  FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.14/0.54  A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.14/0.54  Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.14/0.54  FOF formula (<kernel.Constant object at 0x2b64f0a64170>, <kernel.DependentProduct object at 0x2b64f0a64d40>) of role type named minvalid_type
% 0.14/0.54  Using role type
% 0.14/0.54  Declaring minvalid:((fofType->Prop)->Prop)
% 0.14/0.54  FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.14/0.54  A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.14/0.54  Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.14/0.54  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^5.ax, trying next directory
% 0.14/0.54  FOF formula (<kernel.Constant object at 0x1ed28c0>, <kernel.DependentProduct object at 0x2b64f0a66f38>) of role type named rel_s4_type
% 0.14/0.54  Using role type
% 0.14/0.54  Declaring rel_s4:(fofType->(fofType->Prop))
% 0.14/0.54  FOF formula (<kernel.Constant object at 0x2b64f0a66dd0>, <kernel.DependentProduct object at 0x2b64f0a66f80>) of role type named mbox_s4_type
% 0.14/0.54  Using role type
% 0.14/0.54  Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.14/0.54  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
% 0.14/0.54  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)))))
% 0.14/0.54  Defined: mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))
% 0.14/0.54  FOF formula (<kernel.Constant object at 0x2b64f0a66f80>, <kernel.DependentProduct object at 0x2b64f0a66e18>) of role type named mdia_s4_type
% 0.14/0.54  Using role type
% 0.14/0.54  Declaring mdia_s4:((fofType->Prop)->(fofType->Prop))
% 0.14/0.54  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))) of role definition named mdia_s4
% 0.14/0.54  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))))
% 0.14/0.54  Defined: mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))
% 0.14/0.54  FOF formula (mreflexive rel_s4) of role axiom named a1
% 0.14/0.54  A new axiom: (mreflexive rel_s4)
% 0.14/0.54  FOF formula (mtransitive rel_s4) of role axiom named a2
% 0.14/0.54  A new axiom: (mtransitive rel_s4)
% 0.14/0.54  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL015^1.ax, trying next directory
% 0.14/0.54  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
% 0.14/0.54  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)))
% 0.14/0.54  FOF formula (<kernel.Constant object at 0x1c33248>, <kernel.DependentProduct object at 0x2b64f85343f8>) of role type named f_type
% 0.14/0.54  Using role type
% 0.14/0.54  Declaring f:(mu->(fofType->Prop))
% 0.14/0.54  FOF formula (mvalid ((mimplies (mdia_s4 (mforall_ind (fun (X:mu)=> (f X))))) (mexists_ind (fun (X:mu)=> (mdia_s4 (f X)))))) of role conjecture named con
% 0.14/0.54  Conjecture to prove = (mvalid ((mimplies (mdia_s4 (mforall_ind (fun (X:mu)=> (f X))))) (mexists_ind (fun (X:mu)=> (mdia_s4 (f X)))))):Prop
% 0.14/0.54  Parameter mu_DUMMY:mu.
% 0.14/0.54  Parameter fofType_DUMMY:fofType.
% 0.14/0.54  We need to prove ['(mvalid ((mimplies (mdia_s4 (mforall_ind (fun (X:mu)=> (f X))))) (mexists_ind (fun (X:mu)=> (mdia_s4 (f X))))))']
% 0.14/0.54  Parameter mu:Type.
% 0.14/0.54  Parameter fofType:Type.
% 0.14/0.54  Parameter qmltpeq:(mu->(mu->(fofType->Prop))).
% 0.14/0.54  Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.14/0.54  Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.14/0.54  Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.14/0.54  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))).
% 0.14/0.54  Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.14/0.54  Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.14/0.54  Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.14/0.54  Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.14/0.54  Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.14/0.54  Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.14/0.54  Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.14/0.54  Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.14/0.54  Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.14/0.54  Parameter exists_in_world:(mu->(fofType->Prop)).
% 0.14/0.54  Axiom nonempty_ax:(forall (V:fofType), ((ex mu) (fun (X:mu)=> ((exists_in_world X) V)))).
% 0.14/0.54  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)).
% 0.14/0.54  Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.14/0.54  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)).
% 0.14/0.54  Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.14/0.54  Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.14/0.54  Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.14/0.54  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).
% 0.14/0.54  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).
% 8.31/8.55  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).
% 8.31/8.55  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).
% 8.31/8.55  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).
% 8.31/8.55  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).
% 8.31/8.55  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).
% 8.31/8.55  Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 8.31/8.55  Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 8.31/8.55  Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 8.31/8.55  Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 8.31/8.55  Parameter rel_s4:(fofType->(fofType->Prop)).
% 8.31/8.55  Definition mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 8.31/8.55  Definition mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 8.31/8.55  Axiom a1:(mreflexive rel_s4).
% 8.31/8.55  Axiom a2:(mtransitive rel_s4).
% 8.31/8.55  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))).
% 8.31/8.55  Parameter f:(mu->(fofType->Prop)).
% 8.31/8.55  Trying to prove (mvalid ((mimplies (mdia_s4 (mforall_ind (fun (X:mu)=> (f X))))) (mexists_ind (fun (X:mu)=> (mdia_s4 (f X))))))
% 8.31/8.55  Found a10:=(a1 W):((rel_s4 W) W)
% 8.31/8.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.31/8.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.31/8.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.31/8.55  Found (x2 (a1 W)) as proof of False
% 8.31/8.55  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 8.31/8.55  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 8.31/8.55  Found a10:=(a1 S):((rel_s4 S) S)
% 8.31/8.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.31/8.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.31/8.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.31/8.55  Found (x2 (a1 S)) as proof of False
% 8.31/8.55  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 8.31/8.55  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 8.31/8.55  Found a10:=(a1 W):((rel_s4 W) W)
% 8.31/8.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.31/8.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.31/8.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.31/8.55  Found (x2 (a1 W)) as proof of False
% 8.31/8.55  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 8.31/8.55  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 8.31/8.55  Found a10:=(a1 S):((rel_s4 S) S)
% 8.31/8.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.31/8.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.31/8.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.31/8.55  Found (x2 (a1 S)) as proof of False
% 8.31/8.55  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 8.31/8.55  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 8.31/8.55  Found a10:=(a1 W):((rel_s4 W) W)
% 8.31/8.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.31/8.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.31/8.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.31/8.55  Found (x2 (a1 W)) as proof of False
% 8.31/8.55  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 13.93/14.17  Found a10:=(a1 S):((rel_s4 S) S)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (x2 (a1 S)) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 13.93/14.17  Found a10:=(a1 W):((rel_s4 W) W)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (x2 (a1 W)) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 13.93/14.17  Found a10:=(a1 S):((rel_s4 S) S)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (x2 (a1 S)) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 13.93/14.17  Found a10:=(a1 W):((rel_s4 W) W)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (x2 (a1 W)) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 13.93/14.17  Found a10:=(a1 S):((rel_s4 S) S)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (x2 (a1 S)) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 13.93/14.17  Found a10:=(a1 W):((rel_s4 W) W)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (x2 (a1 W)) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 13.93/14.17  Found a10:=(a1 W):((rel_s4 W) W)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (x2 (a1 W)) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 13.93/14.17  Found a10:=(a1 S):((rel_s4 S) S)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (x2 (a1 S)) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 13.93/14.17  Found a10:=(a1 S):((rel_s4 S) S)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (x2 (a1 S)) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 13.93/14.17  Found a10:=(a1 W):((rel_s4 W) W)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.93/14.17  Found (x2 (a1 W)) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 13.93/14.17  Found a10:=(a1 S):((rel_s4 S) S)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 13.93/14.17  Found (x2 (a1 S)) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 13.93/14.17  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 13.93/14.17  Found a10:=(a1 W):((rel_s4 W) W)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.32/18.55  Found (x3 (a1 W)) as proof of False
% 18.32/18.55  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 18.32/18.55  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 18.32/18.55  Found a10:=(a1 W):((rel_s4 W) W)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.32/18.55  Found (x3 (a1 W)) as proof of False
% 18.32/18.55  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 18.32/18.55  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 18.32/18.55  Found a10:=(a1 S):((rel_s4 S) S)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.32/18.55  Found (x3 (a1 S)) as proof of False
% 18.32/18.55  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 18.32/18.55  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 18.32/18.55  Found a10:=(a1 S):((rel_s4 S) S)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.32/18.55  Found (x3 (a1 S)) as proof of False
% 18.32/18.55  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 18.32/18.55  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 18.32/18.55  Found a10:=(a1 W):((rel_s4 W) W)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.32/18.55  Found (x4 (a1 W)) as proof of False
% 18.32/18.55  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 18.32/18.55  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 18.32/18.55  Found a10:=(a1 W):((rel_s4 W) W)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.32/18.55  Found (x4 (a1 W)) as proof of False
% 18.32/18.55  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 18.32/18.55  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 18.32/18.55  Found a10:=(a1 S):((rel_s4 S) S)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 18.32/18.55  Found (x4 (a1 S)) as proof of False
% 18.32/18.55  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 18.32/18.55  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 18.32/18.55  Found a10:=(a1 S):((rel_s4 S) S)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 18.32/18.55  Found (x4 (a1 S)) as proof of False
% 18.32/18.55  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 18.32/18.55  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 18.32/18.55  Found a10:=(a1 W):((rel_s4 W) W)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.32/18.55  Found (x3 (a1 W)) as proof of False
% 18.32/18.55  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 18.32/18.55  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 18.32/18.55  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 18.32/18.55  Found a10:=(a1 S):((rel_s4 S) S)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 18.32/18.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 18.32/18.55  Found (x3 (a1 S)) as proof of False
% 18.32/18.55  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 18.32/18.55  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 18.32/18.55  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 18.32/18.55  Found a10:=(a1 W):((rel_s4 W) W)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.32/18.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.43/20.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.43/20.68  Found (x3 (a1 W)) as proof of False
% 20.43/20.68  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 20.43/20.68  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 20.43/20.68  Found a10:=(a1 W):((rel_s4 W) W)
% 20.43/20.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.43/20.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.43/20.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.43/20.68  Found (x3 (a1 W)) as proof of False
% 20.43/20.68  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 20.43/20.68  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 20.43/20.68  Found a10:=(a1 S):((rel_s4 S) S)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 20.43/20.68  Found (x3 (a1 S)) as proof of False
% 20.43/20.68  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 20.43/20.68  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 20.43/20.68  Found a10:=(a1 V):((rel_s4 V) V)
% 20.43/20.68  Found (a1 V) as proof of ((rel_s4 V) S)
% 20.43/20.68  Found (a1 V) as proof of ((rel_s4 V) S)
% 20.43/20.68  Found (a1 V) as proof of ((rel_s4 V) S)
% 20.43/20.68  Found a10:=(a1 V):((rel_s4 V) V)
% 20.43/20.68  Found (a1 V) as proof of ((rel_s4 V) W)
% 20.43/20.68  Found (a1 V) as proof of ((rel_s4 V) W)
% 20.43/20.68  Found (a1 V) as proof of ((rel_s4 V) W)
% 20.43/20.68  Found a10:=(a1 S):((rel_s4 S) S)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 20.43/20.68  Found (x3 (a1 S)) as proof of False
% 20.43/20.68  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 20.43/20.68  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 20.43/20.68  Found a10:=(a1 W):((rel_s4 W) W)
% 20.43/20.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 20.43/20.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 20.43/20.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 20.43/20.68  Found (x4 (a1 W)) as proof of False
% 20.43/20.68  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 20.43/20.68  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 20.43/20.68  Found a10:=(a1 W):((rel_s4 W) W)
% 20.43/20.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 20.43/20.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 20.43/20.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 20.43/20.68  Found (x4 (a1 W)) as proof of False
% 20.43/20.68  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 20.43/20.68  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 20.43/20.68  Found a10:=(a1 S):((rel_s4 S) S)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 20.43/20.68  Found (x4 (a1 S)) as proof of False
% 20.43/20.68  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 20.43/20.68  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 20.43/20.68  Found a10:=(a1 S):((rel_s4 S) S)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 20.43/20.68  Found (x4 (a1 S)) as proof of False
% 20.43/20.68  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 20.43/20.68  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 20.43/20.68  Found a10:=(a1 W):((rel_s4 W) W)
% 20.43/20.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 20.43/20.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 20.43/20.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 20.43/20.68  Found (x3 (a1 W)) as proof of False
% 20.43/20.68  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 20.43/20.68  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 20.43/20.68  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 20.43/20.68  Found a10:=(a1 S):((rel_s4 S) S)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 20.43/20.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 20.43/20.68  Found (x3 (a1 S)) as proof of False
% 20.43/20.68  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 20.43/20.68  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 20.43/20.68  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 27.53/27.79  Found a10:=(a1 W):((rel_s4 W) W)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (x2 (a1 W)) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 27.53/27.79  Found a10:=(a1 V):((rel_s4 V) V)
% 27.53/27.79  Found (a1 V) as proof of ((rel_s4 V) S)
% 27.53/27.79  Found (a1 V) as proof of ((rel_s4 V) S)
% 27.53/27.79  Found (a1 V) as proof of ((rel_s4 V) S)
% 27.53/27.79  Found a10:=(a1 V):((rel_s4 V) V)
% 27.53/27.79  Found (a1 V) as proof of ((rel_s4 V) W)
% 27.53/27.79  Found (a1 V) as proof of ((rel_s4 V) W)
% 27.53/27.79  Found (a1 V) as proof of ((rel_s4 V) W)
% 27.53/27.79  Found a10:=(a1 S):((rel_s4 S) S)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (x2 (a1 S)) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 27.53/27.79  Found a10:=(a1 W):((rel_s4 W) W)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (x2 (a1 W)) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 27.53/27.79  Found a10:=(a1 W):((rel_s4 W) W)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found a10:=(a1 W):((rel_s4 W) W)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (x2 (a1 W)) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 27.53/27.79  Found a10:=(a1 S):((rel_s4 S) S)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (x2 (a1 S)) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 27.53/27.79  Found a10:=(a1 S):((rel_s4 S) S)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found a10:=(a1 S):((rel_s4 S) S)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (x2 (a1 S)) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 27.53/27.79  Found a10:=(a1 W):((rel_s4 W) W)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 27.53/27.79  Found a10:=(a1 W):((rel_s4 W) W)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.53/27.79  Found (x2 (a1 W)) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 27.53/27.79  Found a10:=(a1 W):((rel_s4 W) W)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 27.53/27.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 27.53/27.79  Found a10:=(a1 S):((rel_s4 S) S)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.53/27.79  Found a10:=(a1 S):((rel_s4 S) S)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.53/27.79  Found a10:=(a1 S):((rel_s4 S) S)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.53/27.79  Found (x2 (a1 S)) as proof of False
% 27.53/27.79  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 38.23/38.48  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 38.23/38.48  Found a10:=(a1 W):((rel_s4 W) W)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.23/38.48  Found (x2 (a1 W)) as proof of False
% 38.23/38.48  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 38.23/38.48  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 38.23/38.48  Found a10:=(a1 W):((rel_s4 W) W)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.23/38.48  Found (x2 (a1 W)) as proof of False
% 38.23/38.48  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 38.23/38.48  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 38.23/38.48  Found a10:=(a1 W):((rel_s4 W) W)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.23/38.48  Found a10:=(a1 S):((rel_s4 S) S)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V)
% 38.23/38.48  Found (x2 (a1 S)) as proof of False
% 38.23/38.48  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 38.23/38.48  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 38.23/38.48  Found a10:=(a1 S):((rel_s4 S) S)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V)
% 38.23/38.48  Found (x2 (a1 S)) as proof of False
% 38.23/38.48  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 38.23/38.48  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 38.23/38.48  Found a10:=(a1 S):((rel_s4 S) S)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V)
% 38.23/38.48  Found a10:=(a1 W):((rel_s4 W) W)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found a10:=(a1 W):((rel_s4 W) W)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found a10:=(a1 S):((rel_s4 S) S)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 38.23/38.48  Found a10:=(a1 S):((rel_s4 S) S)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 38.23/38.48  Found a10:=(a1 W):((rel_s4 W) W)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (x3 (a1 W)) as proof of False
% 38.23/38.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 38.23/38.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 38.23/38.48  Found a10:=(a1 W):((rel_s4 W) W)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (x3 (a1 W)) as proof of False
% 38.23/38.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 38.23/38.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 38.23/38.48  Found a10:=(a1 W):((rel_s4 W) W)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (x3 (a1 W)) as proof of False
% 38.23/38.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 38.23/38.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 38.23/38.48  Found a10:=(a1 S):((rel_s4 S) S)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 38.23/38.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 38.23/38.48  Found (x3 (a1 S)) as proof of False
% 38.23/38.48  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 38.23/38.48  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 38.23/38.48  Found a10:=(a1 W):((rel_s4 W) W)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.23/38.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.23/41.48  Found (x3 (a1 W)) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 41.23/41.48  Found a10:=(a1 S):((rel_s4 S) S)
% 41.23/41.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.23/41.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.23/41.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.23/41.48  Found (x3 (a1 S)) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 41.23/41.48  Found a10:=(a1 S):((rel_s4 S) S)
% 41.23/41.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.23/41.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.23/41.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.23/41.48  Found (x3 (a1 S)) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 41.23/41.48  Found a10:=(a1 S):((rel_s4 S) S)
% 41.23/41.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.23/41.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.23/41.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.23/41.48  Found (x3 (a1 S)) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 41.23/41.48  Found a10:=(a1 W):((rel_s4 W) W)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 41.23/41.48  Found (x4 (a1 W)) as proof of False
% 41.23/41.48  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 41.23/41.48  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 41.23/41.48  Found a10:=(a1 W):((rel_s4 W) W)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 41.23/41.48  Found (x4 (a1 W)) as proof of False
% 41.23/41.48  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 41.23/41.48  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 41.23/41.48  Found a10:=(a1 W):((rel_s4 W) W)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.23/41.48  Found (x3 (a1 W)) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 41.23/41.48  Found a10:=(a1 W):((rel_s4 W) W)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.23/41.48  Found (x3 (a1 W)) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 41.23/41.48  Found a10:=(a1 S):((rel_s4 S) S)
% 41.23/41.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.23/41.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.23/41.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.23/41.48  Found (x3 (a1 S)) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 41.23/41.48  Found a10:=(a1 W):((rel_s4 W) W)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 41.23/41.48  Found (x3 (a1 W)) as proof of False
% 41.23/41.48  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 41.23/41.48  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 41.23/41.48  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 41.23/41.48  Found a10:=(a1 W):((rel_s4 W) W)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 41.23/41.48  Found (a1 W) as proof of ((rel_s4 W) V)
% 41.23/41.48  Found (x4 (a1 W)) as proof of False
% 41.23/41.48  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 41.23/41.48  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 41.23/41.48  Found a10:=(a1 W):((rel_s4 W) W)
% 42.41/42.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 42.41/42.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 42.41/42.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 42.41/42.63  Found (x4 (a1 W)) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 42.41/42.63  Found a10:=(a1 S):((rel_s4 S) S)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (x4 (a1 S)) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 42.41/42.63  Found a10:=(a1 S):((rel_s4 S) S)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (x4 (a1 S)) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 42.41/42.63  Found a10:=(a1 S):((rel_s4 S) S)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V0)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V0)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V0)
% 42.41/42.63  Found (x3 (a1 S)) as proof of False
% 42.41/42.63  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 42.41/42.63  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 42.41/42.63  Found a10:=(a1 S):((rel_s4 S) S)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (x4 (a1 S)) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 42.41/42.63  Found a10:=(a1 S):((rel_s4 S) S)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (x4 (a1 S)) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 42.41/42.63  Found a10:=(a1 W):((rel_s4 W) W)
% 42.41/42.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 42.41/42.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 42.41/42.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 42.41/42.63  Found (x3 (a1 W)) as proof of False
% 42.41/42.63  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 42.41/42.63  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 42.41/42.63  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 42.41/42.63  Found a10:=(a1 S):((rel_s4 S) S)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (x3 (a1 S)) as proof of False
% 42.41/42.63  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 42.41/42.63  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 42.41/42.63  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 42.41/42.63  Found a10:=(a1 W):((rel_s4 W) W)
% 42.41/42.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 42.41/42.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 42.41/42.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 42.41/42.63  Found (x4 (a1 W)) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 42.41/42.63  Found a10:=(a1 W):((rel_s4 W) W)
% 42.41/42.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 42.41/42.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 42.41/42.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 42.41/42.63  Found (x4 (a1 W)) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 42.41/42.63  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 42.41/42.63  Found a10:=(a1 S):((rel_s4 S) S)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 42.41/42.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (x3 (a1 S)) as proof of False
% 45.92/46.17  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 45.92/46.17  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 45.92/46.17  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 45.92/46.17  Found a10:=(a1 S):((rel_s4 S) S)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (x4 (a1 S)) as proof of False
% 45.92/46.17  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 45.92/46.17  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 45.92/46.17  Found a10:=(a1 S):((rel_s4 S) S)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (x4 (a1 S)) as proof of False
% 45.92/46.17  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 45.92/46.17  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 45.92/46.17  Found a10:=(a1 W):((rel_s4 W) W)
% 45.92/46.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 45.92/46.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 45.92/46.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 45.92/46.17  Found (x4 (a1 W)) as proof of False
% 45.92/46.17  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 45.92/46.17  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 45.92/46.17  Found a10:=(a1 W):((rel_s4 W) W)
% 45.92/46.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 45.92/46.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 45.92/46.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 45.92/46.17  Found (x4 (a1 W)) as proof of False
% 45.92/46.17  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 45.92/46.17  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 45.92/46.17  Found a10:=(a1 S):((rel_s4 S) S)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (x4 (a1 S)) as proof of False
% 45.92/46.17  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 45.92/46.17  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 45.92/46.17  Found a10:=(a1 S):((rel_s4 S) S)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (x4 (a1 S)) as proof of False
% 45.92/46.17  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 45.92/46.17  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 45.92/46.17  Found a10:=(a1 W):((rel_s4 W) W)
% 45.92/46.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 45.92/46.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 45.92/46.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 45.92/46.17  Found (x3 (a1 W)) as proof of False
% 45.92/46.17  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 45.92/46.17  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 45.92/46.17  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 45.92/46.17  Found a10:=(a1 S):((rel_s4 S) S)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.92/46.17  Found (x3 (a1 S)) as proof of False
% 45.92/46.17  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 45.92/46.17  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 45.92/46.17  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 45.92/46.17  Found a10:=(a1 V):((rel_s4 V) V)
% 45.92/46.17  Found (a1 V) as proof of ((rel_s4 V) W)
% 45.92/46.17  Found (a1 V) as proof of ((rel_s4 V) W)
% 45.92/46.17  Found (a1 V) as proof of ((rel_s4 V) W)
% 45.92/46.17  Found a10:=(a1 W):((rel_s4 W) W)
% 45.92/46.17  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.92/46.17  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.92/46.17  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.92/46.17  Found (x3 (a1 W)) as proof of False
% 45.92/46.17  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 45.92/46.17  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 49.00/49.26  Found a10:=(a1 W):((rel_s4 W) W)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.00/49.26  Found (x3 (a1 W)) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 49.00/49.26  Found a10:=(a1 V):((rel_s4 V) V)
% 49.00/49.26  Found (a1 V) as proof of ((rel_s4 V) S)
% 49.00/49.26  Found (a1 V) as proof of ((rel_s4 V) S)
% 49.00/49.26  Found (a1 V) as proof of ((rel_s4 V) S)
% 49.00/49.26  Found a10:=(a1 W):((rel_s4 W) W)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.00/49.26  Found (x3 (a1 W)) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 49.00/49.26  Found a10:=(a1 S):((rel_s4 S) S)
% 49.00/49.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 49.00/49.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 49.00/49.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 49.00/49.26  Found (x3 (a1 S)) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 49.00/49.26  Found a10:=(a1 W):((rel_s4 W) W)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.00/49.26  Found (x3 (a1 W)) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 49.00/49.26  Found a10:=(a1 W):((rel_s4 W) W)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V)
% 49.00/49.26  Found (x4 (a1 W)) as proof of False
% 49.00/49.26  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 49.00/49.26  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 49.00/49.26  Found a10:=(a1 W):((rel_s4 W) W)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V)
% 49.00/49.26  Found (x4 (a1 W)) as proof of False
% 49.00/49.26  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 49.00/49.26  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 49.00/49.26  Found a10:=(a1 S):((rel_s4 S) S)
% 49.00/49.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 49.00/49.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 49.00/49.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 49.00/49.26  Found (x3 (a1 S)) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 49.00/49.26  Found a10:=(a1 S):((rel_s4 S) S)
% 49.00/49.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 49.00/49.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 49.00/49.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 49.00/49.26  Found (x3 (a1 S)) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 49.00/49.26  Found a10:=(a1 W):((rel_s4 W) W)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V)
% 49.00/49.26  Found (x3 (a1 W)) as proof of False
% 49.00/49.26  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 49.00/49.26  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 49.00/49.26  Found a10:=(a1 S):((rel_s4 S) S)
% 49.00/49.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 49.00/49.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 49.00/49.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 49.00/49.26  Found (x3 (a1 S)) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 49.00/49.26  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 49.00/49.26  Found a10:=(a1 W):((rel_s4 W) W)
% 49.00/49.26  Found (a1 W) as proof of ((rel_s4 W) V)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 50.31/50.57  Found (x4 (a1 W)) as proof of False
% 50.31/50.57  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 50.31/50.57  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 50.31/50.57  Found a10:=(a1 W):((rel_s4 W) W)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 50.31/50.57  Found (x4 (a1 W)) as proof of False
% 50.31/50.57  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 50.31/50.57  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 50.31/50.57  Found a10:=(a1 V):((rel_s4 V) V)
% 50.31/50.57  Found (a1 V) as proof of ((rel_s4 V) S)
% 50.31/50.57  Found (a1 V) as proof of ((rel_s4 V) S)
% 50.31/50.57  Found (a1 V) as proof of ((rel_s4 V) S)
% 50.31/50.57  Found a10:=(a1 W):((rel_s4 W) W)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V0)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V0)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V0)
% 50.31/50.57  Found (x3 (a1 W)) as proof of False
% 50.31/50.57  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 50.31/50.57  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 50.31/50.57  Found a10:=(a1 S):((rel_s4 S) S)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (x4 (a1 S)) as proof of False
% 50.31/50.57  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 50.31/50.57  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 50.31/50.57  Found a10:=(a1 V):((rel_s4 V) V)
% 50.31/50.57  Found (a1 V) as proof of ((rel_s4 V) W)
% 50.31/50.57  Found (a1 V) as proof of ((rel_s4 V) W)
% 50.31/50.57  Found (a1 V) as proof of ((rel_s4 V) W)
% 50.31/50.57  Found a10:=(a1 S):((rel_s4 S) S)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (x4 (a1 S)) as proof of False
% 50.31/50.57  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 50.31/50.57  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 50.31/50.57  Found a10:=(a1 W):((rel_s4 W) W)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 50.31/50.57  Found a10:=(a1 S):((rel_s4 S) S)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (x4 (a1 S)) as proof of False
% 50.31/50.57  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 50.31/50.57  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 50.31/50.57  Found a10:=(a1 S):((rel_s4 S) S)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (x4 (a1 S)) as proof of False
% 50.31/50.57  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 50.31/50.57  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 50.31/50.57  Found a10:=(a1 W):((rel_s4 W) W)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 50.31/50.57  Found (x3 (a1 W)) as proof of False
% 50.31/50.57  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 50.31/50.57  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 50.31/50.57  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 50.31/50.57  Found a10:=(a1 S):((rel_s4 S) S)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 50.31/50.57  Found a10:=(a1 W):((rel_s4 W) W)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V0)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V0)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V0)
% 50.31/50.57  Found (x3 (a1 W)) as proof of False
% 50.31/50.57  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 50.31/50.57  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 50.31/50.57  Found a10:=(a1 W):((rel_s4 W) W)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 50.31/50.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 52.28/52.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 52.28/52.50  Found (x4 (a1 W)) as proof of False
% 52.28/52.50  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 52.28/52.50  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 52.28/52.50  Found a10:=(a1 W):((rel_s4 W) W)
% 52.28/52.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 52.28/52.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 52.28/52.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 52.28/52.50  Found (x4 (a1 W)) as proof of False
% 52.28/52.50  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 52.28/52.50  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 52.28/52.50  Found a10:=(a1 S):((rel_s4 S) S)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 52.28/52.50  Found (x3 (a1 S)) as proof of False
% 52.28/52.50  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 52.28/52.50  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 52.28/52.50  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 52.28/52.50  Found a10:=(a1 S):((rel_s4 S) S)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 52.28/52.50  Found (x3 (a1 S)) as proof of False
% 52.28/52.50  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 52.28/52.50  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 52.28/52.50  Found a10:=(a1 S):((rel_s4 S) S)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 52.28/52.50  Found (x3 (a1 S)) as proof of False
% 52.28/52.50  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 52.28/52.50  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 52.28/52.50  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 52.28/52.50  Found a10:=(a1 S):((rel_s4 S) S)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 52.28/52.50  Found (x4 (a1 S)) as proof of False
% 52.28/52.50  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 52.28/52.50  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 52.28/52.50  Found a10:=(a1 S):((rel_s4 S) S)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 52.28/52.50  Found (x4 (a1 S)) as proof of False
% 52.28/52.50  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 52.28/52.50  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 52.28/52.50  Found a10:=(a1 S):((rel_s4 S) S)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 52.28/52.50  Found (x3 (a1 S)) as proof of False
% 52.28/52.50  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 52.28/52.50  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 52.28/52.50  Found a10:=(a1 W):((rel_s4 W) W)
% 52.28/52.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 52.28/52.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 52.28/52.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 52.28/52.50  Found (x4 (a1 W)) as proof of False
% 52.28/52.50  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 52.28/52.50  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 52.28/52.50  Found a10:=(a1 W):((rel_s4 W) W)
% 52.28/52.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 52.28/52.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 52.28/52.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 52.28/52.50  Found (x4 (a1 W)) as proof of False
% 52.28/52.50  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 52.28/52.50  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 52.28/52.50  Found a10:=(a1 W):((rel_s4 W) W)
% 52.28/52.50  Found (a1 W) as proof of ((rel_s4 W) V0)
% 52.28/52.50  Found (a1 W) as proof of ((rel_s4 W) V0)
% 52.28/52.50  Found (a1 W) as proof of ((rel_s4 W) V0)
% 52.28/52.50  Found a10:=(a1 S):((rel_s4 S) S)
% 52.28/52.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (x4 (a1 S)) as proof of False
% 58.28/58.53  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 58.28/58.53  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 58.28/58.53  Found a10:=(a1 S):((rel_s4 S) S)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (x4 (a1 S)) as proof of False
% 58.28/58.53  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 58.28/58.53  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 58.28/58.53  Found a10:=(a1 V):((rel_s4 V) V)
% 58.28/58.53  Found (a1 V) as proof of ((rel_s4 V) W)
% 58.28/58.53  Found (a1 V) as proof of ((rel_s4 V) W)
% 58.28/58.53  Found (a1 V) as proof of ((rel_s4 V) W)
% 58.28/58.53  Found a10:=(a1 W):((rel_s4 W) W)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V)
% 58.28/58.53  Found (x3 (a1 W)) as proof of False
% 58.28/58.53  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 58.28/58.53  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 58.28/58.53  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 58.28/58.53  Found a10:=(a1 W):((rel_s4 W) W)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 58.28/58.53  Found a10:=(a1 S):((rel_s4 S) S)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.28/58.53  Found a10:=(a1 S):((rel_s4 S) S)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (x3 (a1 S)) as proof of False
% 58.28/58.53  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 58.28/58.53  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 58.28/58.53  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 58.28/58.53  Found a10:=(a1 V):((rel_s4 V) V)
% 58.28/58.53  Found (a1 V) as proof of ((rel_s4 V) S)
% 58.28/58.53  Found (a1 V) as proof of ((rel_s4 V) S)
% 58.28/58.53  Found (a1 V) as proof of ((rel_s4 V) S)
% 58.28/58.53  Found a10:=(a1 S):((rel_s4 S) S)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.28/58.53  Found a10:=(a1 W):((rel_s4 W) W)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V)
% 58.28/58.53  Found a10:=(a1 W):((rel_s4 W) W)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V)
% 58.28/58.53  Found (x2 (a1 W)) as proof of False
% 58.28/58.53  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 58.28/58.53  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 58.28/58.53  Found a10:=(a1 V):((rel_s4 V) V)
% 58.28/58.53  Found (a1 V) as proof of ((rel_s4 V) W)
% 58.28/58.53  Found (a1 V) as proof of ((rel_s4 V) W)
% 58.28/58.53  Found (a1 V) as proof of ((rel_s4 V) W)
% 58.28/58.53  Found a10:=(a1 V):((rel_s4 V) V)
% 58.28/58.53  Found (a1 V) as proof of ((rel_s4 V) S)
% 58.28/58.53  Found (a1 V) as proof of ((rel_s4 V) S)
% 58.28/58.53  Found (a1 V) as proof of ((rel_s4 V) S)
% 58.28/58.53  Found a10:=(a1 W):((rel_s4 W) W)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V)
% 58.28/58.53  Found (a1 W) as proof of ((rel_s4 W) V)
% 58.28/58.53  Found a10:=(a1 S):((rel_s4 S) S)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found a10:=(a1 S):((rel_s4 S) S)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (x2 (a1 S)) as proof of False
% 58.28/58.53  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 58.28/58.53  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 58.28/58.53  Found a10:=(a1 S):((rel_s4 S) S)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 58.28/58.53  Found (a1 S) as proof of ((rel_s4 S) V)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 72.19/72.43  Found a10:=(a1 W):((rel_s4 W) W)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 72.19/72.43  Found a10:=(a1 S):((rel_s4 S) S)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 72.19/72.43  Found a10:=(a1 W):((rel_s4 W) W)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 72.19/72.43  Found a10:=(a1 S):((rel_s4 S) S)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 72.19/72.43  Found a10:=(a1 W):((rel_s4 W) W)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found a10:=(a1 W):((rel_s4 W) W)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found a10:=(a1 W):((rel_s4 W) W)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found a10:=(a1 S):((rel_s4 S) S)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found a10:=(a1 W):((rel_s4 W) W)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found a10:=(a1 S):((rel_s4 S) S)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found a10:=(a1 W):((rel_s4 W) W)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found a10:=(a1 S):((rel_s4 S) S)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found a10:=(a1 S):((rel_s4 S) S)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found a10:=(a1 W):((rel_s4 W) W)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found a10:=(a1 S):((rel_s4 S) S)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found a10:=(a1 W):((rel_s4 W) W)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found a10:=(a1 W):((rel_s4 W) W)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 72.19/72.43  Found (x2 (a1 W)) as proof of False
% 72.19/72.43  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of False
% 72.19/72.43  Found (fun (x2:(((rel_s4 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 72.19/72.43  Found a10:=(a1 W):((rel_s4 W) W)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 72.19/72.43  Found a10:=(a1 S):((rel_s4 S) S)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found a10:=(a1 W):((rel_s4 W) W)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 72.19/72.43  Found a10:=(a1 S):((rel_s4 S) S)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found a10:=(a1 S):((rel_s4 S) S)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 72.19/72.43  Found (x2 (a1 S)) as proof of False
% 72.19/72.43  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of False
% 72.19/72.43  Found (fun (x2:(((rel_s4 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 72.19/72.43  Found a10:=(a1 S):((rel_s4 S) S)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 72.19/72.43  Found a10:=(a1 W):((rel_s4 W) W)
% 72.19/72.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 100.40/100.65  Found a10:=(a1 S):((rel_s4 S) S)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 100.40/100.65  Found a10:=(a1 S):((rel_s4 S) S)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 100.40/100.65  Found a10:=(a1 W):((rel_s4 W) W)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 100.40/100.65  Found a10:=(a1 S):((rel_s4 S) S)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 100.40/100.65  Found a10:=(a1 V):((rel_s4 V) V)
% 100.40/100.65  Found (a1 V) as proof of ((rel_s4 V) S)
% 100.40/100.65  Found (a1 V) as proof of ((rel_s4 V) S)
% 100.40/100.65  Found (a1 V) as proof of ((rel_s4 V) S)
% 100.40/100.65  Found a10:=(a1 V):((rel_s4 V) V)
% 100.40/100.65  Found (a1 V) as proof of ((rel_s4 V) W)
% 100.40/100.65  Found (a1 V) as proof of ((rel_s4 V) W)
% 100.40/100.65  Found (a1 V) as proof of ((rel_s4 V) W)
% 100.40/100.65  Found a10:=(a1 W):((rel_s4 W) W)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found a10:=(a1 W):((rel_s4 W) W)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found a10:=(a1 W):((rel_s4 W) W)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found a10:=(a1 W):((rel_s4 W) W)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found a10:=(a1 S):((rel_s4 S) S)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found a10:=(a1 S):((rel_s4 S) S)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found a10:=(a1 S):((rel_s4 S) S)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found a10:=(a1 S):((rel_s4 S) S)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found a10:=(a1 W):((rel_s4 W) W)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (x3 (a1 W)) as proof of False
% 100.40/100.65  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 100.40/100.65  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 100.40/100.65  Found a10:=(a1 W):((rel_s4 W) W)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found a10:=(a1 W):((rel_s4 W) W)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (x3 (a1 W)) as proof of False
% 100.40/100.65  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 100.40/100.65  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 100.40/100.65  Found a10:=(a1 W):((rel_s4 W) W)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found a10:=(a1 S):((rel_s4 S) S)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found a10:=(a1 S):((rel_s4 S) S)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (x3 (a1 S)) as proof of False
% 100.40/100.65  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 100.40/100.65  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 100.40/100.65  Found a10:=(a1 S):((rel_s4 S) S)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 100.40/100.65  Found a10:=(a1 W):((rel_s4 W) W)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.40/100.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 105.26/105.52  Found (x3 (a1 W)) as proof of False
% 105.26/105.52  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 105.26/105.52  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 105.26/105.52  Found a10:=(a1 V):((rel_s4 V) V)
% 105.26/105.52  Found (a1 V) as proof of ((rel_s4 V) W)
% 105.26/105.52  Found (a1 V) as proof of ((rel_s4 V) W)
% 105.26/105.52  Found (a1 V) as proof of ((rel_s4 V) W)
% 105.26/105.52  Found a10:=(a1 S):((rel_s4 S) S)
% 105.26/105.52  Found (a1 S) as proof of ((rel_s4 S) V0)
% 105.26/105.52  Found (a1 S) as proof of ((rel_s4 S) V0)
% 105.26/105.52  Found (a1 S) as proof of ((rel_s4 S) V0)
% 105.26/105.52  Found (x3 (a1 S)) as proof of False
% 105.26/105.52  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 105.26/105.52  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 105.26/105.52  Found a10:=(a1 V):((rel_s4 V) V)
% 105.26/105.52  Found (a1 V) as proof of ((rel_s4 V) S)
% 105.26/105.52  Found (a1 V) as proof of ((rel_s4 V) S)
% 105.26/105.52  Found (a1 V) as proof of ((rel_s4 V) S)
% 105.26/105.52  Found a10:=(a1 W):((rel_s4 W) W)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 105.26/105.52  Found (x4 (a1 W)) as proof of False
% 105.26/105.52  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 105.26/105.52  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 105.26/105.52  Found a10:=(a1 W):((rel_s4 W) W)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 105.26/105.52  Found (x3 (a1 W)) as proof of False
% 105.26/105.52  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 105.26/105.52  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 105.26/105.52  Found a10:=(a1 W):((rel_s4 W) W)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V)
% 105.26/105.52  Found (x4 (a1 W)) as proof of False
% 105.26/105.52  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 105.26/105.52  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 105.26/105.52  Found a10:=(a1 W):((rel_s4 W) W)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V)
% 105.26/105.52  Found (x4 (a1 W)) as proof of False
% 105.26/105.52  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 105.26/105.52  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 105.26/105.52  Found a10:=(a1 W):((rel_s4 W) W)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 105.26/105.52  Found (x4 (a1 W)) as proof of False
% 105.26/105.52  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 105.26/105.52  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 105.26/105.52  Found a10:=(a1 W):((rel_s4 W) W)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 105.26/105.52  Found (x4 (a1 W)) as proof of False
% 105.26/105.52  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 105.26/105.52  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 105.26/105.52  Found a10:=(a1 W):((rel_s4 W) W)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 105.26/105.52  Found (x3 (a1 W)) as proof of False
% 105.26/105.52  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 105.26/105.52  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 105.26/105.52  Found a10:=(a1 W):((rel_s4 W) W)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V)
% 105.26/105.52  Found (a1 W) as proof of ((rel_s4 W) V)
% 105.26/105.52  Found (x3 (a1 W)) as proof of False
% 105.26/105.52  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 105.26/105.52  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 105.26/105.52  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 105.26/105.52  Found a10:=(a1 S):((rel_s4 S) S)
% 105.26/105.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.58/107.83  Found (x4 (a1 S)) as proof of False
% 107.58/107.83  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 107.58/107.83  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 107.58/107.83  Found a10:=(a1 S):((rel_s4 S) S)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.58/107.83  Found (x3 (a1 S)) as proof of False
% 107.58/107.83  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 107.58/107.83  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 107.58/107.83  Found a10:=(a1 W):((rel_s4 W) W)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V)
% 107.58/107.83  Found (x4 (a1 W)) as proof of False
% 107.58/107.83  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 107.58/107.83  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 107.58/107.83  Found a10:=(a1 W):((rel_s4 W) W)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 107.58/107.83  Found (x4 (a1 W)) as proof of False
% 107.58/107.83  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 107.58/107.83  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 107.58/107.83  Found a10:=(a1 W):((rel_s4 W) W)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V)
% 107.58/107.83  Found (x4 (a1 W)) as proof of False
% 107.58/107.83  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 107.58/107.83  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 107.58/107.83  Found a10:=(a1 W):((rel_s4 W) W)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.58/107.83  Found (x3 (a1 W)) as proof of False
% 107.58/107.83  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 107.58/107.83  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 107.58/107.83  Found a10:=(a1 S):((rel_s4 S) S)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.58/107.83  Found (x3 (a1 S)) as proof of False
% 107.58/107.83  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 107.58/107.83  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 107.58/107.83  Found a10:=(a1 W):((rel_s4 W) W)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.58/107.83  Found (x5 (a1 W)) as proof of False
% 107.58/107.83  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 107.58/107.83  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 107.58/107.83  Found a10:=(a1 W):((rel_s4 W) W)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.58/107.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.58/107.83  Found (x5 (a1 W)) as proof of False
% 107.58/107.83  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 107.58/107.83  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 107.58/107.83  Found a10:=(a1 S):((rel_s4 S) S)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V)
% 107.58/107.83  Found (x4 (a1 S)) as proof of False
% 107.58/107.83  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 107.58/107.83  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 107.58/107.83  Found a10:=(a1 S):((rel_s4 S) S)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V)
% 107.58/107.83  Found (x4 (a1 S)) as proof of False
% 107.58/107.83  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 107.58/107.83  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 107.58/107.83  Found a10:=(a1 S):((rel_s4 S) S)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.58/107.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 110.18/110.47  Found (x4 (a1 S)) as proof of False
% 110.18/110.47  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 110.18/110.47  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 110.18/110.47  Found a10:=(a1 S):((rel_s4 S) S)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 110.18/110.47  Found (x4 (a1 S)) as proof of False
% 110.18/110.47  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 110.18/110.47  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 110.18/110.47  Found a10:=(a1 S):((rel_s4 S) S)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.18/110.47  Found (x3 (a1 S)) as proof of False
% 110.18/110.47  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 110.18/110.47  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 110.18/110.47  Found a10:=(a1 S):((rel_s4 S) S)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.18/110.47  Found (x3 (a1 S)) as proof of False
% 110.18/110.47  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 110.18/110.47  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 110.18/110.47  Found a10:=(a1 W):((rel_s4 W) W)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.18/110.47  Found (x5 (a1 W)) as proof of False
% 110.18/110.47  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 110.18/110.47  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 110.18/110.47  Found a10:=(a1 W):((rel_s4 W) W)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.18/110.47  Found (x5 (a1 W)) as proof of False
% 110.18/110.47  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 110.18/110.47  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 110.18/110.47  Found a10:=(a1 W):((rel_s4 W) W)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.18/110.47  Found (x4 (a1 W)) as proof of False
% 110.18/110.47  Found (fun (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of False
% 110.18/110.47  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 110.18/110.47  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->((mdia_s4 (f X0)) W))
% 110.18/110.47  Found a10:=(a1 S):((rel_s4 S) S)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.18/110.47  Found (x5 (a1 S)) as proof of False
% 110.18/110.47  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 110.18/110.47  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 110.18/110.47  Found a10:=(a1 S):((rel_s4 S) S)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.18/110.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.18/110.47  Found (x5 (a1 S)) as proof of False
% 110.18/110.47  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 110.18/110.47  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 110.18/110.47  Found a10:=(a1 W):((rel_s4 W) W)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V)
% 110.18/110.47  Found (x4 (a1 W)) as proof of False
% 110.18/110.47  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 110.18/110.47  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 110.18/110.47  Found a10:=(a1 W):((rel_s4 W) W)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V)
% 110.18/110.47  Found (a1 W) as proof of ((rel_s4 W) V)
% 110.18/110.47  Found (x4 (a1 W)) as proof of False
% 110.18/110.47  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 110.18/110.47  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 110.18/110.47  Found a10:=(a1 S):((rel_s4 S) S)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (x3 (a1 S)) as proof of False
% 112.29/112.55  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 112.29/112.55  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 112.29/112.55  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 112.29/112.55  Found a10:=(a1 S):((rel_s4 S) S)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 112.29/112.55  Found (x4 (a1 S)) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 112.29/112.55  Found a10:=(a1 W):((rel_s4 W) W)
% 112.29/112.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 112.29/112.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 112.29/112.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 112.29/112.55  Found (x4 (a1 W)) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 112.29/112.55  Found a10:=(a1 W):((rel_s4 W) W)
% 112.29/112.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 112.29/112.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 112.29/112.55  Found (a1 W) as proof of ((rel_s4 W) V)
% 112.29/112.55  Found (x4 (a1 W)) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 112.29/112.55  Found a10:=(a1 S):((rel_s4 S) S)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (x4 (a1 S)) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 112.29/112.55  Found a10:=(a1 S):((rel_s4 S) S)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (x4 (a1 S)) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 112.29/112.55  Found a10:=(a1 W):((rel_s4 W) W)
% 112.29/112.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 112.29/112.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 112.29/112.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 112.29/112.55  Found (x4 (a1 W)) as proof of False
% 112.29/112.55  Found (fun (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 112.29/112.55  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->((mdia_s4 (f X0)) W))
% 112.29/112.55  Found a10:=(a1 S):((rel_s4 S) S)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (x4 (a1 S)) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 112.29/112.55  Found a10:=(a1 S):((rel_s4 S) S)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 112.29/112.55  Found (x4 (a1 S)) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 112.29/112.55  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 112.29/112.55  Found a10:=(a1 S):((rel_s4 S) S)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 112.29/112.55  Found (x5 (a1 S)) as proof of False
% 112.29/112.55  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 112.29/112.55  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 112.29/112.55  Found a10:=(a1 S):((rel_s4 S) S)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 112.29/112.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 116.67/116.96  Found (x5 (a1 S)) as proof of False
% 116.67/116.96  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 116.67/116.96  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 116.67/116.96  Found a10:=(a1 S):((rel_s4 S) S)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 116.67/116.96  Found (x4 (a1 S)) as proof of False
% 116.67/116.96  Found (fun (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 116.67/116.96  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->((mdia_s4 (f X0)) S))
% 116.67/116.96  Found a10:=(a1 W):((rel_s4 W) W)
% 116.67/116.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 116.67/116.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 116.67/116.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 116.67/116.96  Found (x3 (a1 W)) as proof of False
% 116.67/116.96  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 116.67/116.96  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 116.67/116.96  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 116.67/116.96  Found a10:=(a1 W):((rel_s4 W) W)
% 116.67/116.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 116.67/116.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 116.67/116.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 116.67/116.96  Found (x4 (a1 W)) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 116.67/116.96  Found a10:=(a1 W):((rel_s4 W) W)
% 116.67/116.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 116.67/116.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 116.67/116.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 116.67/116.96  Found (x4 (a1 W)) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 116.67/116.96  Found a10:=(a1 S):((rel_s4 S) S)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 116.67/116.96  Found (x4 (a1 S)) as proof of False
% 116.67/116.96  Found (fun (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 116.67/116.96  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->((mdia_s4 (f X0)) S))
% 116.67/116.96  Found a10:=(a1 S):((rel_s4 S) S)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 116.67/116.96  Found (x4 (a1 S)) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 116.67/116.96  Found a10:=(a1 S):((rel_s4 S) S)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 116.67/116.96  Found (x4 (a1 S)) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 116.67/116.96  Found a10:=(a1 S):((rel_s4 S) S)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 116.67/116.96  Found (x4 (a1 S)) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 116.67/116.96  Found a10:=(a1 S):((rel_s4 S) S)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 116.67/116.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 116.67/116.96  Found (x4 (a1 S)) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 116.67/116.96  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 116.67/116.96  Found a10:=(a1 W):((rel_s4 W) W)
% 116.67/116.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V)
% 125.79/126.07  Found (x3 (a1 W)) as proof of False
% 125.79/126.07  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 125.79/126.07  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 125.79/126.07  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 125.79/126.07  Found a10:=(a1 S):((rel_s4 S) S)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (x3 (a1 S)) as proof of False
% 125.79/126.07  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 125.79/126.07  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 125.79/126.07  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 125.79/126.07  Found a10:=(a1 W):((rel_s4 W) W)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V)
% 125.79/126.07  Found (x4 (a1 W)) as proof of False
% 125.79/126.07  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 125.79/126.07  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 125.79/126.07  Found a10:=(a1 W):((rel_s4 W) W)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V)
% 125.79/126.07  Found (x4 (a1 W)) as proof of False
% 125.79/126.07  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 125.79/126.07  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 125.79/126.07  Found a10:=(a1 S):((rel_s4 S) S)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (x3 (a1 S)) as proof of False
% 125.79/126.07  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 125.79/126.07  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 125.79/126.07  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 125.79/126.07  Found a10:=(a1 W):((rel_s4 W) W)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V)
% 125.79/126.07  Found a10:=(a1 S):((rel_s4 S) S)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (x4 (a1 S)) as proof of False
% 125.79/126.07  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 125.79/126.07  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 125.79/126.07  Found a10:=(a1 S):((rel_s4 S) S)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (x4 (a1 S)) as proof of False
% 125.79/126.07  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 125.79/126.07  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 125.79/126.07  Found a10:=(a1 W):((rel_s4 W) W)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 125.79/126.07  Found a10:=(a1 S):((rel_s4 S) S)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V)
% 125.79/126.07  Found a10:=(a1 W):((rel_s4 W) W)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 125.79/126.07  Found a10:=(a1 S):((rel_s4 S) S)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 125.79/126.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 125.79/126.07  Found a10:=(a1 W):((rel_s4 W) W)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 125.79/126.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 125.79/126.07  Found (x3 (a1 W)) as proof of False
% 125.79/126.07  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 125.79/126.07  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 132.13/132.45  Found a10:=(a1 S):((rel_s4 S) S)
% 132.13/132.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 132.13/132.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 132.13/132.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 132.13/132.45  Found a10:=(a1 W):((rel_s4 W) W)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (x3 (a1 W)) as proof of False
% 132.13/132.45  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 132.13/132.45  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 132.13/132.45  Found a10:=(a1 V):((rel_s4 V) V)
% 132.13/132.45  Found (a1 V) as proof of ((rel_s4 V) W)
% 132.13/132.45  Found (a1 V) as proof of ((rel_s4 V) W)
% 132.13/132.45  Found (a1 V) as proof of ((rel_s4 V) W)
% 132.13/132.45  Found a10:=(a1 W):((rel_s4 W) W)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V)
% 132.13/132.45  Found (x4 (a1 W)) as proof of False
% 132.13/132.45  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 132.13/132.45  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 132.13/132.45  Found a10:=(a1 W):((rel_s4 W) W)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V)
% 132.13/132.45  Found (x4 (a1 W)) as proof of False
% 132.13/132.45  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 132.13/132.45  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 132.13/132.45  Found a10:=(a1 W):((rel_s4 W) W)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (x5 (a1 W)) as proof of False
% 132.13/132.45  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 132.13/132.45  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 132.13/132.45  Found a10:=(a1 W):((rel_s4 W) W)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (x5 (a1 W)) as proof of False
% 132.13/132.45  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 132.13/132.45  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 132.13/132.45  Found a10:=(a1 W):((rel_s4 W) W)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V)
% 132.13/132.45  Found a10:=(a1 W):((rel_s4 W) W)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (x5 (a1 W)) as proof of False
% 132.13/132.45  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 132.13/132.45  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 132.13/132.45  Found a10:=(a1 S):((rel_s4 S) S)
% 132.13/132.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 132.13/132.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 132.13/132.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 132.13/132.45  Found (x3 (a1 S)) as proof of False
% 132.13/132.45  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 132.13/132.45  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 132.13/132.45  Found a10:=(a1 W):((rel_s4 W) W)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (x5 (a1 W)) as proof of False
% 132.13/132.45  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 132.13/132.45  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 132.13/132.45  Found a10:=(a1 W):((rel_s4 W) W)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (x5 (a1 W)) as proof of False
% 132.13/132.45  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 132.13/132.45  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 132.13/132.45  Found a10:=(a1 W):((rel_s4 W) W)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.13/132.45  Found (x5 (a1 W)) as proof of False
% 132.13/132.45  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 132.13/132.45  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 134.24/134.56  Found a10:=(a1 V):((rel_s4 V) V)
% 134.24/134.56  Found (a1 V) as proof of ((rel_s4 V) S)
% 134.24/134.56  Found (a1 V) as proof of ((rel_s4 V) S)
% 134.24/134.56  Found (a1 V) as proof of ((rel_s4 V) S)
% 134.24/134.56  Found a10:=(a1 W):((rel_s4 W) W)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 134.24/134.56  Found (x3 (a1 W)) as proof of False
% 134.24/134.56  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 134.24/134.56  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 134.24/134.56  Found a10:=(a1 W):((rel_s4 W) W)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 134.24/134.56  Found (x3 (a1 W)) as proof of False
% 134.24/134.56  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 134.24/134.56  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 134.24/134.56  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 134.24/134.56  Found a10:=(a1 W):((rel_s4 W) W)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 134.24/134.56  Found (x5 (a1 W)) as proof of False
% 134.24/134.56  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 134.24/134.56  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 134.24/134.56  Found a10:=(a1 W):((rel_s4 W) W)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 134.24/134.56  Found (x5 (a1 W)) as proof of False
% 134.24/134.56  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 134.24/134.56  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 134.24/134.56  Found a10:=(a1 W):((rel_s4 W) W)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 134.24/134.56  Found (x4 (a1 W)) as proof of False
% 134.24/134.56  Found (fun (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of False
% 134.24/134.56  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 134.24/134.56  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->((mdia_s4 (f X0)) W))
% 134.24/134.56  Found a10:=(a1 W):((rel_s4 W) W)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 134.24/134.56  Found (x6 (a1 W)) as proof of False
% 134.24/134.56  Found (fun (x6:(((rel_s4 W) V)->False))=> (x6 (a1 W))) as proof of False
% 134.24/134.56  Found (fun (x6:(((rel_s4 W) V)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 134.24/134.56  Found a10:=(a1 S):((rel_s4 S) S)
% 134.24/134.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 134.24/134.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 134.24/134.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 134.24/134.56  Found (x5 (a1 S)) as proof of False
% 134.24/134.56  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 134.24/134.56  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 134.24/134.56  Found a10:=(a1 W):((rel_s4 W) W)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 134.24/134.56  Found (x6 (a1 W)) as proof of False
% 134.24/134.56  Found (fun (x6:(((rel_s4 W) V)->False))=> (x6 (a1 W))) as proof of False
% 134.24/134.56  Found (fun (x6:(((rel_s4 W) V)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 134.24/134.56  Found a10:=(a1 S):((rel_s4 S) S)
% 134.24/134.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 134.24/134.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 134.24/134.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 134.24/134.56  Found (x5 (a1 S)) as proof of False
% 134.24/134.56  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 134.24/134.56  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 134.24/134.56  Found a10:=(a1 W):((rel_s4 W) W)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 134.24/134.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 134.24/134.56  Found (x6 (a1 W)) as proof of False
% 134.24/134.56  Found (fun (x6:(((rel_s4 W) V)->False))=> (x6 (a1 W))) as proof of False
% 136.08/136.36  Found (fun (x6:(((rel_s4 W) V)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 136.08/136.36  Found a10:=(a1 W):((rel_s4 W) W)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.08/136.36  Found (x5 (a1 W)) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 136.08/136.36  Found a10:=(a1 W):((rel_s4 W) W)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.08/136.36  Found (x5 (a1 W)) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 136.08/136.36  Found a10:=(a1 W):((rel_s4 W) W)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.08/136.36  Found (x5 (a1 W)) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 136.08/136.36  Found a10:=(a1 W):((rel_s4 W) W)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.08/136.36  Found (x4 (a1 W)) as proof of False
% 136.08/136.36  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 136.08/136.36  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 136.08/136.36  Found a10:=(a1 W):((rel_s4 W) W)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.08/136.36  Found (x5 (a1 W)) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 136.08/136.36  Found a10:=(a1 W):((rel_s4 W) W)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.08/136.36  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.08/136.36  Found (x4 (a1 W)) as proof of False
% 136.08/136.36  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 136.08/136.36  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 136.08/136.36  Found a10:=(a1 S):((rel_s4 S) S)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (x3 (a1 S)) as proof of False
% 136.08/136.36  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 136.08/136.36  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 136.08/136.36  Found a10:=(a1 S):((rel_s4 S) S)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (x5 (a1 S)) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 136.08/136.36  Found a10:=(a1 S):((rel_s4 S) S)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (x5 (a1 S)) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 136.08/136.36  Found a10:=(a1 S):((rel_s4 S) S)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (x5 (a1 S)) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 136.08/136.36  Found a10:=(a1 S):((rel_s4 S) S)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.08/136.36  Found (x5 (a1 S)) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 136.08/136.36  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 138.17/138.45  Found a10:=(a1 W):((rel_s4 W) W)
% 138.17/138.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.17/138.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.17/138.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.17/138.45  Found (x3 (a1 W)) as proof of False
% 138.17/138.45  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 138.17/138.45  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 138.17/138.45  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 138.17/138.45  Found (a1 V0) as proof of ((rel_s4 V0) V)
% 138.17/138.45  Found (a1 V0) as proof of ((rel_s4 V0) V)
% 138.17/138.45  Found (a1 V0) as proof of ((rel_s4 V0) V)
% 138.17/138.45  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 138.17/138.45  Found (a1 V0) as proof of ((rel_s4 V0) V)
% 138.17/138.45  Found (a1 V0) as proof of ((rel_s4 V0) V)
% 138.17/138.45  Found (a1 V0) as proof of ((rel_s4 V0) V)
% 138.17/138.45  Found a10:=(a1 S):((rel_s4 S) S)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (x6 (a1 S)) as proof of False
% 138.17/138.45  Found (fun (x6:(((rel_s4 S) V)->False))=> (x6 (a1 S))) as proof of False
% 138.17/138.45  Found (fun (x6:(((rel_s4 S) V)->False))=> (x6 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 138.17/138.45  Found a10:=(a1 S):((rel_s4 S) S)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (x6 (a1 S)) as proof of False
% 138.17/138.45  Found (fun (x6:(((rel_s4 S) V)->False))=> (x6 (a1 S))) as proof of False
% 138.17/138.45  Found (fun (x6:(((rel_s4 S) V)->False))=> (x6 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 138.17/138.45  Found a10:=(a1 S):((rel_s4 S) S)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (x6 (a1 S)) as proof of False
% 138.17/138.45  Found (fun (x6:(((rel_s4 S) V)->False))=> (x6 (a1 S))) as proof of False
% 138.17/138.45  Found (fun (x6:(((rel_s4 S) V)->False))=> (x6 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 138.17/138.45  Found a10:=(a1 W):((rel_s4 W) W)
% 138.17/138.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.17/138.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.17/138.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.17/138.45  Found (x4 (a1 W)) as proof of False
% 138.17/138.45  Found (fun (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of False
% 138.17/138.45  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 138.17/138.45  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->((mdia_s4 (f X0)) W))
% 138.17/138.45  Found a10:=(a1 S):((rel_s4 S) S)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (x4 (a1 S)) as proof of False
% 138.17/138.45  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 138.17/138.45  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 138.17/138.45  Found a10:=(a1 S):((rel_s4 S) S)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 138.17/138.45  Found (x4 (a1 S)) as proof of False
% 138.17/138.45  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 138.17/138.45  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 138.17/138.45  Found a10:=(a1 W):((rel_s4 W) W)
% 138.17/138.45  Found (a1 W) as proof of ((rel_s4 W) V)
% 138.17/138.45  Found (a1 W) as proof of ((rel_s4 W) V)
% 138.17/138.45  Found (a1 W) as proof of ((rel_s4 W) V)
% 138.17/138.45  Found a10:=(a1 S):((rel_s4 S) S)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.17/138.45  Found (x5 (a1 S)) as proof of False
% 138.17/138.45  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 138.17/138.45  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 138.17/138.45  Found a10:=(a1 S):((rel_s4 S) S)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.17/138.45  Found (x5 (a1 S)) as proof of False
% 138.17/138.45  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 138.17/138.45  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 138.17/138.45  Found a10:=(a1 S):((rel_s4 S) S)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.17/138.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (x4 (a1 S)) as proof of False
% 139.83/140.13  Found (fun (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of False
% 139.83/140.13  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 139.83/140.13  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->((mdia_s4 (f X0)) S))
% 139.83/140.13  Found a10:=(a1 S):((rel_s4 S) S)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V)
% 139.83/140.13  Found a10:=(a1 W):((rel_s4 W) W)
% 139.83/140.13  Found (a1 W) as proof of ((rel_s4 W) V)
% 139.83/140.13  Found (a1 W) as proof of ((rel_s4 W) V)
% 139.83/140.13  Found (a1 W) as proof of ((rel_s4 W) V)
% 139.83/140.13  Found (x5 (a1 W)) as proof of False
% 139.83/140.13  Found (fun (x6:((mbox_s4 (mnot (f X1))) W))=> (x5 (a1 W))) as proof of False
% 139.83/140.13  Found (fun (x5:(((rel_s4 W) V)->False)) (x6:((mbox_s4 (mnot (f X1))) W))=> (x5 (a1 W))) as proof of ((mdia_s4 (f X1)) W)
% 139.83/140.13  Found (fun (x5:(((rel_s4 W) V)->False)) (x6:((mbox_s4 (mnot (f X1))) W))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X1)) W))
% 139.83/140.13  Found a10:=(a1 W):((rel_s4 W) W)
% 139.83/140.13  Found (a1 W) as proof of ((rel_s4 W) V)
% 139.83/140.13  Found (a1 W) as proof of ((rel_s4 W) V)
% 139.83/140.13  Found (a1 W) as proof of ((rel_s4 W) V)
% 139.83/140.13  Found (x5 (a1 W)) as proof of False
% 139.83/140.13  Found (fun (x6:((mbox_s4 (mnot (f X1))) W))=> (x5 (a1 W))) as proof of False
% 139.83/140.13  Found (fun (x5:(((rel_s4 W) V)->False)) (x6:((mbox_s4 (mnot (f X1))) W))=> (x5 (a1 W))) as proof of ((mdia_s4 (f X1)) W)
% 139.83/140.13  Found (fun (x5:(((rel_s4 W) V)->False)) (x6:((mbox_s4 (mnot (f X1))) W))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X1)) W))
% 139.83/140.13  Found a10:=(a1 S):((rel_s4 S) S)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (x5 (a1 S)) as proof of False
% 139.83/140.13  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 139.83/140.13  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 139.83/140.13  Found a10:=(a1 S):((rel_s4 S) S)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (x5 (a1 S)) as proof of False
% 139.83/140.13  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 139.83/140.13  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 139.83/140.13  Found a10:=(a1 S):((rel_s4 S) S)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (x5 (a1 S)) as proof of False
% 139.83/140.13  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 139.83/140.13  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 139.83/140.13  Found a10:=(a1 S):((rel_s4 S) S)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.83/140.13  Found (x5 (a1 S)) as proof of False
% 139.83/140.13  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 139.83/140.13  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 139.83/140.13  Found a10:=(a1 W):((rel_s4 W) W)
% 139.83/140.13  Found (a1 W) as proof of ((rel_s4 W) V0)
% 139.83/140.13  Found (a1 W) as proof of ((rel_s4 W) V0)
% 139.83/140.13  Found (a1 W) as proof of ((rel_s4 W) V0)
% 139.83/140.13  Found (x3 (a1 W)) as proof of False
% 139.83/140.13  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 139.83/140.13  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 139.83/140.13  Found a10:=(a1 S):((rel_s4 S) S)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V)
% 139.83/140.13  Found (a1 S) as proof of ((rel_s4 S) V)
% 139.83/140.13  Found a10:=(a1 W):((rel_s4 W) W)
% 139.83/140.13  Found (a1 W) as proof of ((rel_s4 W) V)
% 139.83/140.13  Found (a1 W) as proof of ((rel_s4 W) V)
% 139.83/140.13  Found (a1 W) as proof of ((rel_s4 W) V)
% 139.83/140.13  Found (x4 (a1 W)) as proof of False
% 139.83/140.13  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 139.83/140.13  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 139.83/140.13  Found a10:=(a1 W):((rel_s4 W) W)
% 139.83/140.13  Found (a1 W) as proof of ((rel_s4 W) V)
% 141.57/141.87  Found (a1 W) as proof of ((rel_s4 W) V)
% 141.57/141.87  Found (a1 W) as proof of ((rel_s4 W) V)
% 141.57/141.87  Found (x4 (a1 W)) as proof of False
% 141.57/141.87  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 141.57/141.87  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 141.57/141.87  Found a10:=(a1 S):((rel_s4 S) S)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V)
% 141.57/141.87  Found (x5 (a1 S)) as proof of False
% 141.57/141.87  Found (fun (x6:((mbox_s4 (mnot (f X1))) S))=> (x5 (a1 S))) as proof of False
% 141.57/141.87  Found (fun (x5:(((rel_s4 S) V)->False)) (x6:((mbox_s4 (mnot (f X1))) S))=> (x5 (a1 S))) as proof of ((mdia_s4 (f X1)) S)
% 141.57/141.87  Found (fun (x5:(((rel_s4 S) V)->False)) (x6:((mbox_s4 (mnot (f X1))) S))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X1)) S))
% 141.57/141.87  Found a10:=(a1 S):((rel_s4 S) S)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V)
% 141.57/141.87  Found (x5 (a1 S)) as proof of False
% 141.57/141.87  Found (fun (x6:((mbox_s4 (mnot (f X1))) S))=> (x5 (a1 S))) as proof of False
% 141.57/141.87  Found (fun (x5:(((rel_s4 S) V)->False)) (x6:((mbox_s4 (mnot (f X1))) S))=> (x5 (a1 S))) as proof of ((mdia_s4 (f X1)) S)
% 141.57/141.87  Found (fun (x5:(((rel_s4 S) V)->False)) (x6:((mbox_s4 (mnot (f X1))) S))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X1)) S))
% 141.57/141.87  Found a10:=(a1 W):((rel_s4 W) W)
% 141.57/141.87  Found (a1 W) as proof of ((rel_s4 W) V)
% 141.57/141.87  Found (a1 W) as proof of ((rel_s4 W) V)
% 141.57/141.87  Found (a1 W) as proof of ((rel_s4 W) V)
% 141.57/141.87  Found (x4 (a1 W)) as proof of False
% 141.57/141.87  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 141.57/141.87  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 141.57/141.87  Found a10:=(a1 W):((rel_s4 W) W)
% 141.57/141.87  Found (a1 W) as proof of ((rel_s4 W) V)
% 141.57/141.87  Found (a1 W) as proof of ((rel_s4 W) V)
% 141.57/141.87  Found (a1 W) as proof of ((rel_s4 W) V)
% 141.57/141.87  Found (x4 (a1 W)) as proof of False
% 141.57/141.87  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 141.57/141.87  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 141.57/141.87  Found a10:=(a1 S):((rel_s4 S) S)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V)
% 141.57/141.87  Found (x3 (a1 S)) as proof of False
% 141.57/141.87  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 141.57/141.87  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 141.57/141.87  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 141.57/141.87  Found a10:=(a1 S):((rel_s4 S) S)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 141.57/141.87  Found (x4 (a1 S)) as proof of False
% 141.57/141.87  Found (fun (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of False
% 141.57/141.87  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 141.57/141.87  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->((mdia_s4 (f X0)) S))
% 141.57/141.87  Found a10:=(a1 S):((rel_s4 S) S)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 141.57/141.87  Found (x3 (a1 S)) as proof of False
% 141.57/141.87  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 141.57/141.87  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 141.57/141.87  Found a10:=(a1 S):((rel_s4 S) S)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V)
% 141.57/141.87  Found (a1 S) as proof of ((rel_s4 S) V)
% 141.57/141.87  Found (x4 (a1 S)) as proof of False
% 141.57/141.87  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 141.57/141.87  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 141.57/141.87  Found a10:=(a1 W):((rel_s4 W) W)
% 141.57/141.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 141.57/141.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 141.57/141.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 141.57/141.87  Found (x3 (a1 W)) as proof of False
% 141.57/141.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 144.26/144.51  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 144.26/144.51  Found a10:=(a1 S):((rel_s4 S) S)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V)
% 144.26/144.51  Found (x4 (a1 S)) as proof of False
% 144.26/144.51  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 144.26/144.51  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 144.26/144.51  Found a10:=(a1 S):((rel_s4 S) S)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 144.26/144.51  Found (x3 (a1 S)) as proof of False
% 144.26/144.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 144.26/144.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 144.26/144.51  Found a10:=(a1 S):((rel_s4 S) S)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V)
% 144.26/144.51  Found (x4 (a1 S)) as proof of False
% 144.26/144.51  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 144.26/144.51  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 144.26/144.51  Found a10:=(a1 S):((rel_s4 S) S)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V)
% 144.26/144.51  Found (x4 (a1 S)) as proof of False
% 144.26/144.51  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 144.26/144.51  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 144.26/144.51  Found a10:=(a1 W):((rel_s4 W) W)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.26/144.51  Found a10:=(a1 W):((rel_s4 W) W)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V)
% 144.26/144.51  Found (x3 (a1 W)) as proof of False
% 144.26/144.51  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 144.26/144.51  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 144.26/144.51  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 144.26/144.51  Found a10:=(a1 W):((rel_s4 W) W)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.26/144.51  Found (x4 (a1 W)) as proof of False
% 144.26/144.51  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 144.26/144.51  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 144.26/144.51  Found a10:=(a1 W):((rel_s4 W) W)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.26/144.51  Found (x5 (a1 W)) as proof of False
% 144.26/144.51  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 144.26/144.51  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 144.26/144.51  Found a10:=(a1 W):((rel_s4 W) W)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.26/144.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.26/144.51  Found (x5 (a1 W)) as proof of False
% 144.26/144.51  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 144.26/144.51  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 144.26/144.51  Found a10:=(a1 S):((rel_s4 S) S)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 144.26/144.51  Found (x3 (a1 S)) as proof of False
% 144.26/144.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 144.26/144.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 144.26/144.51  Found a10:=(a1 S):((rel_s4 S) S)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 144.26/144.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 144.26/144.51  Found (x3 (a1 S)) as proof of False
% 144.26/144.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 144.26/144.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 146.48/146.78  Found a10:=(a1 W):((rel_s4 W) W)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 146.48/146.78  Found (x4 (a1 W)) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 146.48/146.78  Found a10:=(a1 W):((rel_s4 W) W)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 146.48/146.78  Found (x4 (a1 W)) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 146.48/146.78  Found a10:=(a1 W):((rel_s4 W) W)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V0)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V0)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V0)
% 146.48/146.78  Found a10:=(a1 W):((rel_s4 W) W)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 146.48/146.78  Found (x4 (a1 W)) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 146.48/146.78  Found a10:=(a1 W):((rel_s4 W) W)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 146.48/146.78  Found (x4 (a1 W)) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 146.48/146.78  Found a10:=(a1 S):((rel_s4 S) S)
% 146.48/146.78  Found (a1 S) as proof of ((rel_s4 S) V)
% 146.48/146.78  Found (a1 S) as proof of ((rel_s4 S) V)
% 146.48/146.78  Found (a1 S) as proof of ((rel_s4 S) V)
% 146.48/146.78  Found (x4 (a1 S)) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 146.48/146.78  Found a10:=(a1 S):((rel_s4 S) S)
% 146.48/146.78  Found (a1 S) as proof of ((rel_s4 S) V)
% 146.48/146.78  Found (a1 S) as proof of ((rel_s4 S) V)
% 146.48/146.78  Found (a1 S) as proof of ((rel_s4 S) V)
% 146.48/146.78  Found (x4 (a1 S)) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 146.48/146.78  Found a10:=(a1 W):((rel_s4 W) W)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V0)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V0)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V0)
% 146.48/146.78  Found (x5 (a1 W)) as proof of False
% 146.48/146.78  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 146.48/146.78  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 146.48/146.78  Found a10:=(a1 W):((rel_s4 W) W)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 146.48/146.78  Found a10:=(a1 W):((rel_s4 W) W)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V0)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V0)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V0)
% 146.48/146.78  Found (x5 (a1 W)) as proof of False
% 146.48/146.78  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 146.48/146.78  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 146.48/146.78  Found a10:=(a1 W):((rel_s4 W) W)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V0)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V0)
% 146.48/146.78  Found (a1 W) as proof of ((rel_s4 W) V0)
% 146.48/146.78  Found (x4 (a1 W)) as proof of False
% 146.48/146.78  Found (fun (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 146.48/146.78  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->((mdia_s4 (f X0)) W))
% 146.48/146.78  Found a10:=(a1 S):((rel_s4 S) S)
% 146.48/146.78  Found (a1 S) as proof of ((rel_s4 S) V)
% 146.48/146.78  Found (a1 S) as proof of ((rel_s4 S) V)
% 146.48/146.78  Found (a1 S) as proof of ((rel_s4 S) V)
% 146.48/146.78  Found (x4 (a1 S)) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 146.48/146.78  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 149.37/149.68  Found a10:=(a1 S):((rel_s4 S) S)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 149.37/149.68  Found (x4 (a1 S)) as proof of False
% 149.37/149.68  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 149.37/149.68  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 149.37/149.68  Found a10:=(a1 S):((rel_s4 S) S)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.37/149.68  Found (x5 (a1 S)) as proof of False
% 149.37/149.68  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 149.37/149.68  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 149.37/149.68  Found a10:=(a1 S):((rel_s4 S) S)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.37/149.68  Found (x5 (a1 S)) as proof of False
% 149.37/149.68  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 149.37/149.68  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 149.37/149.68  Found a10:=(a1 S):((rel_s4 S) S)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 149.37/149.68  Found a10:=(a1 W):((rel_s4 W) W)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 149.37/149.68  Found a10:=(a1 W):((rel_s4 W) W)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 149.37/149.68  Found (x3 (a1 W)) as proof of False
% 149.37/149.68  Found (fun (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of False
% 149.37/149.68  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 149.37/149.68  Found (fun (x3:(((rel_s4 W) V)->False)) (x4:((mbox_s4 (mnot (f X0))) W))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X0)) W))
% 149.37/149.68  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 149.37/149.68  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 149.37/149.68  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 149.37/149.68  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 149.37/149.68  Found a10:=(a1 W):((rel_s4 W) W)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 149.37/149.68  Found (x4 (a1 W)) as proof of False
% 149.37/149.68  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 149.37/149.68  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 149.37/149.68  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 149.37/149.68  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 149.37/149.68  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 149.37/149.68  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 149.37/149.68  Found a10:=(a1 S):((rel_s4 S) S)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 149.37/149.68  Found (x4 (a1 S)) as proof of False
% 149.37/149.68  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 149.37/149.68  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 149.37/149.68  Found a10:=(a1 W):((rel_s4 W) W)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 149.37/149.68  Found (x4 (a1 W)) as proof of False
% 149.37/149.68  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 149.37/149.68  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 149.37/149.68  Found a10:=(a1 W):((rel_s4 W) W)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 149.37/149.68  Found (a1 W) as proof of ((rel_s4 W) V)
% 149.37/149.68  Found (x4 (a1 W)) as proof of False
% 149.37/149.68  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 149.37/149.68  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 149.37/149.68  Found a10:=(a1 S):((rel_s4 S) S)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 149.37/149.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 149.37/149.68  Found (x3 (a1 S)) as proof of False
% 149.37/149.68  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 149.37/149.68  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 151.55/151.85  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 151.55/151.85  Found a10:=(a1 W):((rel_s4 W) W)
% 151.55/151.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 151.55/151.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 151.55/151.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 151.55/151.85  Found (x4 (a1 W)) as proof of False
% 151.55/151.85  Found (fun (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of False
% 151.55/151.85  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 151.55/151.85  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->((mdia_s4 (f X0)) W))
% 151.55/151.85  Found a10:=(a1 S):((rel_s4 S) S)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V)
% 151.55/151.85  Found (x3 (a1 S)) as proof of False
% 151.55/151.85  Found (fun (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of False
% 151.55/151.85  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 151.55/151.85  Found (fun (x3:(((rel_s4 S) V)->False)) (x4:((mbox_s4 (mnot (f X0))) S))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X0)) S))
% 151.55/151.85  Found a10:=(a1 S):((rel_s4 S) S)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 151.55/151.85  Found (x5 (a1 S)) as proof of False
% 151.55/151.85  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 151.55/151.85  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 151.55/151.85  Found a10:=(a1 S):((rel_s4 S) S)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 151.55/151.85  Found (x5 (a1 S)) as proof of False
% 151.55/151.85  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 151.55/151.85  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 151.55/151.85  Found a10:=(a1 S):((rel_s4 S) S)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 151.55/151.85  Found a10:=(a1 W):((rel_s4 W) W)
% 151.55/151.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 151.55/151.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 151.55/151.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 151.55/151.85  Found a10:=(a1 S):((rel_s4 S) S)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 151.55/151.85  Found (x4 (a1 S)) as proof of False
% 151.55/151.85  Found (fun (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of False
% 151.55/151.85  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 151.55/151.85  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->((mdia_s4 (f X0)) S))
% 151.55/151.85  Found a10:=(a1 S):((rel_s4 S) S)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V)
% 151.55/151.85  Found (x4 (a1 S)) as proof of False
% 151.55/151.85  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 151.55/151.85  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 151.55/151.85  Found a10:=(a1 S):((rel_s4 S) S)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V1)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V1)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V1)
% 151.55/151.85  Found (x4 (a1 S)) as proof of False
% 151.55/151.85  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 151.55/151.85  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 151.55/151.85  Found a10:=(a1 S):((rel_s4 S) S)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V)
% 151.55/151.85  Found (x4 (a1 S)) as proof of False
% 151.55/151.85  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of False
% 151.55/151.85  Found (fun (x4:(((rel_s4 S) V)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 151.55/151.85  Found a10:=(a1 S):((rel_s4 S) S)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V1)
% 151.55/151.85  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.65/163.92  Found (x4 (a1 S)) as proof of False
% 163.65/163.92  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 163.65/163.92  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 163.65/163.92  Found a10:=(a1 W):((rel_s4 W) W)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V)
% 163.65/163.92  Found a10:=(a1 S):((rel_s4 S) S)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found a10:=(a1 S):((rel_s4 S) S)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found a10:=(a1 S):((rel_s4 S) S)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (x4 (a1 S)) as proof of False
% 163.65/163.92  Found (fun (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of False
% 163.65/163.92  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 163.65/163.92  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->((mdia_s4 (f X0)) S))
% 163.65/163.92  Found a10:=(a1 S):((rel_s4 S) S)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V)
% 163.65/163.92  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 163.65/163.92  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 163.65/163.92  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 163.65/163.92  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 163.65/163.92  Found a10:=(a1 S):((rel_s4 S) S)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.65/163.92  Found (x4 (a1 S)) as proof of False
% 163.65/163.92  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 163.65/163.92  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 163.65/163.92  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 163.65/163.92  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 163.65/163.92  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 163.65/163.92  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 163.65/163.92  Found a10:=(a1 S):((rel_s4 S) S)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found a10:=(a1 V):((rel_s4 V) V)
% 163.65/163.92  Found (a1 V) as proof of ((rel_s4 V) W)
% 163.65/163.92  Found (a1 V) as proof of ((rel_s4 V) W)
% 163.65/163.92  Found (a1 V) as proof of ((rel_s4 V) W)
% 163.65/163.92  Found a10:=(a1 W):((rel_s4 W) W)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found a10:=(a1 V):((rel_s4 V) V)
% 163.65/163.92  Found (a1 V) as proof of ((rel_s4 V) S)
% 163.65/163.92  Found (a1 V) as proof of ((rel_s4 V) S)
% 163.65/163.92  Found (a1 V) as proof of ((rel_s4 V) S)
% 163.65/163.92  Found a10:=(a1 W):((rel_s4 W) W)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found a10:=(a1 W):((rel_s4 W) W)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V)
% 163.65/163.92  Found a10:=(a1 S):((rel_s4 S) S)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found a10:=(a1 W):((rel_s4 W) W)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found a10:=(a1 S):((rel_s4 S) S)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found a10:=(a1 W):((rel_s4 W) W)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found a10:=(a1 W):((rel_s4 W) W)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.65/163.92  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 163.65/163.92  Found (a1 V0) as proof of ((rel_s4 V0) V)
% 163.65/163.92  Found (a1 V0) as proof of ((rel_s4 V0) V)
% 163.65/163.92  Found (a1 V0) as proof of ((rel_s4 V0) V)
% 163.65/163.92  Found a10:=(a1 S):((rel_s4 S) S)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.65/163.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.24/169.50  Found a10:=(a1 W):((rel_s4 W) W)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 169.24/169.50  Found (a1 V0) as proof of ((rel_s4 V0) V)
% 169.24/169.50  Found (a1 V0) as proof of ((rel_s4 V0) V)
% 169.24/169.50  Found (a1 V0) as proof of ((rel_s4 V0) V)
% 169.24/169.50  Found a10:=(a1 S):((rel_s4 S) S)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found a10:=(a1 W):((rel_s4 W) W)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.24/169.50  Found a10:=(a1 S):((rel_s4 S) S)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.24/169.50  Found a10:=(a1 S):((rel_s4 S) S)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.24/169.50  Found a10:=(a1 W):((rel_s4 W) W)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found a10:=(a1 W):((rel_s4 W) W)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (x6 (a1 W)) as proof of False
% 169.24/169.50  Found (fun (x6:(((rel_s4 W) V)->False))=> (x6 (a1 W))) as proof of False
% 169.24/169.50  Found (fun (x6:(((rel_s4 W) V)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 169.24/169.50  Found a10:=(a1 W):((rel_s4 W) W)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (x6 (a1 W)) as proof of False
% 169.24/169.50  Found (fun (x6:(((rel_s4 W) V)->False))=> (x6 (a1 W))) as proof of False
% 169.24/169.50  Found (fun (x6:(((rel_s4 W) V)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 169.24/169.50  Found a10:=(a1 W):((rel_s4 W) W)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (x6 (a1 W)) as proof of False
% 169.24/169.50  Found (fun (x6:(((rel_s4 W) V)->False))=> (x6 (a1 W))) as proof of False
% 169.24/169.50  Found (fun (x6:(((rel_s4 W) V)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 169.24/169.50  Found a10:=(a1 S):((rel_s4 S) S)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.24/169.50  Found a10:=(a1 W):((rel_s4 W) W)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V)
% 169.24/169.50  Found a10:=(a1 S):((rel_s4 S) S)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found (x6 (a1 S)) as proof of False
% 169.24/169.50  Found (fun (x6:(((rel_s4 S) V)->False))=> (x6 (a1 S))) as proof of False
% 169.24/169.50  Found (fun (x6:(((rel_s4 S) V)->False))=> (x6 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 169.24/169.50  Found a10:=(a1 S):((rel_s4 S) S)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found (x6 (a1 S)) as proof of False
% 169.24/169.50  Found (fun (x6:(((rel_s4 S) V)->False))=> (x6 (a1 S))) as proof of False
% 169.24/169.50  Found (fun (x6:(((rel_s4 S) V)->False))=> (x6 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 169.24/169.50  Found a10:=(a1 S):((rel_s4 S) S)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found (x6 (a1 S)) as proof of False
% 169.24/169.50  Found (fun (x6:(((rel_s4 S) V)->False))=> (x6 (a1 S))) as proof of False
% 169.24/169.50  Found (fun (x6:(((rel_s4 S) V)->False))=> (x6 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 169.24/169.50  Found a10:=(a1 S):((rel_s4 S) S)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found (a1 S) as proof of ((rel_s4 S) V)
% 169.24/169.50  Found a10:=(a1 W):((rel_s4 W) W)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.24/169.50  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.24/169.50  Found (x5 (a1 W)) as proof of False
% 169.24/169.50  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 169.24/169.50  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 172.44/172.70  Found a10:=(a1 W):((rel_s4 W) W)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (x5 (a1 W)) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 172.44/172.70  Found a10:=(a1 W):((rel_s4 W) W)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 172.44/172.70  Found (x5 (a1 W)) as proof of False
% 172.44/172.70  Found (fun (x6:((mbox_s4 (mnot (f X1))) W))=> (x5 (a1 W))) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V)->False)) (x6:((mbox_s4 (mnot (f X1))) W))=> (x5 (a1 W))) as proof of ((mdia_s4 (f X1)) W)
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V)->False)) (x6:((mbox_s4 (mnot (f X1))) W))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X1)) W))
% 172.44/172.70  Found a10:=(a1 W):((rel_s4 W) W)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 172.44/172.70  Found (x5 (a1 W)) as proof of False
% 172.44/172.70  Found (fun (x6:((mbox_s4 (mnot (f X1))) W))=> (x5 (a1 W))) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V)->False)) (x6:((mbox_s4 (mnot (f X1))) W))=> (x5 (a1 W))) as proof of ((mdia_s4 (f X1)) W)
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V)->False)) (x6:((mbox_s4 (mnot (f X1))) W))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V)->False)->((mdia_s4 (f X1)) W))
% 172.44/172.70  Found a10:=(a1 S):((rel_s4 S) S)
% 172.44/172.70  Found (a1 S) as proof of ((rel_s4 S) V)
% 172.44/172.70  Found (a1 S) as proof of ((rel_s4 S) V)
% 172.44/172.70  Found (a1 S) as proof of ((rel_s4 S) V)
% 172.44/172.70  Found a10:=(a1 W):((rel_s4 W) W)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (x5 (a1 W)) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 172.44/172.70  Found a10:=(a1 W):((rel_s4 W) W)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (x5 (a1 W)) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 172.44/172.70  Found a10:=(a1 W):((rel_s4 W) W)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (x5 (a1 W)) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 172.44/172.70  Found a10:=(a1 W):((rel_s4 W) W)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (x5 (a1 W)) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 172.44/172.70  Found a10:=(a1 W):((rel_s4 W) W)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 172.44/172.70  Found a10:=(a1 W):((rel_s4 W) W)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 172.44/172.70  Found (x5 (a1 W)) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 172.44/172.70  Found a10:=(a1 S):((rel_s4 S) S)
% 172.44/172.70  Found (a1 S) as proof of ((rel_s4 S) V)
% 172.44/172.70  Found (a1 S) as proof of ((rel_s4 S) V)
% 172.44/172.70  Found (a1 S) as proof of ((rel_s4 S) V)
% 172.44/172.70  Found a10:=(a1 S):((rel_s4 S) S)
% 172.44/172.70  Found (a1 S) as proof of ((rel_s4 S) V)
% 172.44/172.70  Found (a1 S) as proof of ((rel_s4 S) V)
% 172.44/172.70  Found (a1 S) as proof of ((rel_s4 S) V)
% 172.44/172.70  Found (x5 (a1 S)) as proof of False
% 172.44/172.70  Found (fun (x6:((mbox_s4 (mnot (f X1))) S))=> (x5 (a1 S))) as proof of False
% 172.44/172.70  Found (fun (x5:(((rel_s4 S) V)->False)) (x6:((mbox_s4 (mnot (f X1))) S))=> (x5 (a1 S))) as proof of ((mdia_s4 (f X1)) S)
% 175.02/175.30  Found (fun (x5:(((rel_s4 S) V)->False)) (x6:((mbox_s4 (mnot (f X1))) S))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X1)) S))
% 175.02/175.30  Found a10:=(a1 S):((rel_s4 S) S)
% 175.02/175.30  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.02/175.30  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.02/175.30  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.02/175.30  Found (x5 (a1 S)) as proof of False
% 175.02/175.30  Found (fun (x6:((mbox_s4 (mnot (f X1))) S))=> (x5 (a1 S))) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 S) V)->False)) (x6:((mbox_s4 (mnot (f X1))) S))=> (x5 (a1 S))) as proof of ((mdia_s4 (f X1)) S)
% 175.02/175.30  Found (fun (x5:(((rel_s4 S) V)->False)) (x6:((mbox_s4 (mnot (f X1))) S))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V)->False)->((mdia_s4 (f X1)) S))
% 175.02/175.30  Found a10:=(a1 W):((rel_s4 W) W)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (x5 (a1 W)) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 175.02/175.30  Found a10:=(a1 W):((rel_s4 W) W)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (x4 (a1 W)) as proof of False
% 175.02/175.30  Found (fun (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of False
% 175.02/175.30  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 175.02/175.30  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->((mdia_s4 (f X0)) W))
% 175.02/175.30  Found a10:=(a1 W):((rel_s4 W) W)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (x5 (a1 W)) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 175.02/175.30  Found a10:=(a1 W):((rel_s4 W) W)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (x5 (a1 W)) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 175.02/175.30  Found a10:=(a1 W):((rel_s4 W) W)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (x5 (a1 W)) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 175.02/175.30  Found a10:=(a1 W):((rel_s4 W) W)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.02/175.30  Found (x5 (a1 W)) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 175.02/175.30  Found a10:=(a1 S):((rel_s4 S) S)
% 175.02/175.30  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.02/175.30  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.02/175.30  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.02/175.30  Found a10:=(a1 S):((rel_s4 S) S)
% 175.02/175.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.02/175.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.02/175.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.02/175.30  Found (x5 (a1 S)) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 175.02/175.30  Found a10:=(a1 S):((rel_s4 S) S)
% 175.02/175.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.02/175.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.02/175.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.02/175.30  Found (x5 (a1 S)) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 175.02/175.30  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 175.02/175.30  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 175.02/175.30  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 179.64/179.91  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 179.64/179.91  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 179.64/179.91  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 179.64/179.91  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 179.64/179.91  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 179.64/179.91  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 179.64/179.91  Found a10:=(a1 S):((rel_s4 S) S)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (x5 (a1 S)) as proof of False
% 179.64/179.91  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 179.64/179.91  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 179.64/179.91  Found a10:=(a1 S):((rel_s4 S) S)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (x5 (a1 S)) as proof of False
% 179.64/179.91  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 179.64/179.91  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 179.64/179.91  Found a10:=(a1 S):((rel_s4 S) S)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (x5 (a1 S)) as proof of False
% 179.64/179.91  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 179.64/179.91  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 179.64/179.91  Found a10:=(a1 S):((rel_s4 S) S)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (x5 (a1 S)) as proof of False
% 179.64/179.91  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 179.64/179.91  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 179.64/179.91  Found a10:=(a1 W):((rel_s4 W) W)
% 179.64/179.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 179.64/179.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 179.64/179.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 179.64/179.91  Found (x4 (a1 W)) as proof of False
% 179.64/179.91  Found (fun (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of False
% 179.64/179.91  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 179.64/179.91  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->((mdia_s4 (f X0)) W))
% 179.64/179.91  Found a10:=(a1 S):((rel_s4 S) S)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (x5 (a1 S)) as proof of False
% 179.64/179.91  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 179.64/179.91  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 179.64/179.91  Found a10:=(a1 S):((rel_s4 S) S)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (x5 (a1 S)) as proof of False
% 179.64/179.91  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 179.64/179.91  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 179.64/179.91  Found a10:=(a1 S):((rel_s4 S) S)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (x4 (a1 S)) as proof of False
% 179.64/179.91  Found (fun (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of False
% 179.64/179.91  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 179.64/179.91  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->((mdia_s4 (f X0)) S))
% 179.64/179.91  Found a10:=(a1 W):((rel_s4 W) W)
% 179.64/179.91  Found (a1 W) as proof of ((rel_s4 W) V)
% 179.64/179.91  Found (a1 W) as proof of ((rel_s4 W) V)
% 179.64/179.91  Found (a1 W) as proof of ((rel_s4 W) V)
% 179.64/179.91  Found a10:=(a1 W):((rel_s4 W) W)
% 179.64/179.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 179.64/179.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 179.64/179.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 179.64/179.91  Found a10:=(a1 S):((rel_s4 S) S)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 179.64/179.91  Found (x5 (a1 S)) as proof of False
% 179.64/179.91  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 193.94/194.23  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 193.94/194.23  Found a10:=(a1 S):((rel_s4 S) S)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (x5 (a1 S)) as proof of False
% 193.94/194.23  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 193.94/194.23  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 193.94/194.23  Found a10:=(a1 S):((rel_s4 S) S)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (x5 (a1 S)) as proof of False
% 193.94/194.23  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 193.94/194.23  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 193.94/194.23  Found a10:=(a1 S):((rel_s4 S) S)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (x5 (a1 S)) as proof of False
% 193.94/194.23  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of False
% 193.94/194.23  Found (fun (x5:(((rel_s4 S) V0)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 193.94/194.23  Found a10:=(a1 S):((rel_s4 S) S)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V)
% 193.94/194.23  Found a10:=(a1 S):((rel_s4 S) S)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (x4 (a1 S)) as proof of False
% 193.94/194.23  Found (fun (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of False
% 193.94/194.23  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((mdia_s4 (f X0)) S)
% 193.94/194.23  Found (fun (x4:(((rel_s4 S) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) S))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->((mdia_s4 (f X0)) S))
% 193.94/194.23  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 193.94/194.23  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 193.94/194.23  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 193.94/194.23  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 193.94/194.23  Found a10:=(a1 W):((rel_s4 W) W)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 193.94/194.23  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 193.94/194.23  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 193.94/194.23  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 193.94/194.23  Found a10:=(a1 W):((rel_s4 W) W)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found a10:=(a1 W):((rel_s4 W) W)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found a10:=(a1 S):((rel_s4 S) S)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found a10:=(a1 W):((rel_s4 W) W)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found a10:=(a1 W):((rel_s4 W) W)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found a10:=(a1 S):((rel_s4 S) S)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found a10:=(a1 W):((rel_s4 W) W)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found a10:=(a1 W):((rel_s4 W) W)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 193.94/194.23  Found a10:=(a1 W):((rel_s4 W) W)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.94/194.23  Found a10:=(a1 W):((rel_s4 W) W)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.94/194.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.94/194.23  Found a10:=(a1 S):((rel_s4 S) S)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.94/194.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found a10:=(a1 W):((rel_s4 W) W)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V)
% 202.73/202.99  Found a10:=(a1 W):((rel_s4 W) W)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V)
% 202.73/202.99  Found a10:=(a1 W):((rel_s4 W) W)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found a10:=(a1 W):((rel_s4 W) W)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.73/202.99  Found a10:=(a1 W):((rel_s4 W) W)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found a10:=(a1 W):((rel_s4 W) W)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found a10:=(a1 W):((rel_s4 W) W)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found a10:=(a1 W):((rel_s4 W) W)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found a10:=(a1 W):((rel_s4 W) W)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found a10:=(a1 W):((rel_s4 W) W)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found a10:=(a1 W):((rel_s4 W) W)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.73/202.99  Found a10:=(a1 W):((rel_s4 W) W)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.73/202.99  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.73/202.99  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.73/202.99  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V1)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V1)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V1)
% 223.75/224.03  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V1)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V1)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V1)
% 223.75/224.03  Found a10:=(a1 W):((rel_s4 W) W)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found a10:=(a1 W):((rel_s4 W) W)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V)
% 223.75/224.03  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V1)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V1)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V1)
% 223.75/224.03  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V1)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V1)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V1)
% 223.75/224.03  Found a10:=(a1 W):((rel_s4 W) W)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found a10:=(a1 V):((rel_s4 V) V)
% 223.75/224.03  Found (a1 V) as proof of ((rel_s4 V) W)
% 223.75/224.03  Found (a1 V) as proof of ((rel_s4 V) W)
% 223.75/224.03  Found (a1 V) as proof of ((rel_s4 V) W)
% 223.75/224.03  Found a10:=(a1 W):((rel_s4 W) W)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found a10:=(a1 W):((rel_s4 W) W)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found a10:=(a1 W):((rel_s4 W) W)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V)
% 223.75/224.03  Found a10:=(a1 W):((rel_s4 W) W)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 223.75/224.03  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 223.75/224.03  Found a10:=(a1 W):((rel_s4 W) W)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found a10:=(a1 W):((rel_s4 W) W)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.75/224.03  Found a10:=(a1 V):((rel_s4 V) V)
% 223.75/224.03  Found (a1 V) as proof of ((rel_s4 V) S)
% 223.75/224.03  Found (a1 V) as proof of ((rel_s4 V) S)
% 223.75/224.03  Found (a1 V) as proof of ((rel_s4 V) S)
% 223.75/224.03  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found a10:=(a1 V):((rel_s4 V) V)
% 223.75/224.03  Found (a1 V) as proof of ((rel_s4 V) W)
% 223.75/224.03  Found (a1 V) as proof of ((rel_s4 V) W)
% 223.75/224.03  Found (a1 V) as proof of ((rel_s4 V) W)
% 223.75/224.03  Found a10:=(a1 V):((rel_s4 V) V)
% 223.75/224.03  Found (a1 V) as proof of ((rel_s4 V) S)
% 223.75/224.03  Found (a1 V) as proof of ((rel_s4 V) S)
% 223.75/224.03  Found (a1 V) as proof of ((rel_s4 V) S)
% 223.75/224.03  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found a10:=(a1 S):((rel_s4 S) S)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.75/224.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 265.05/265.40  Found a10:=(a1 W):((rel_s4 W) W)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found a10:=(a1 V):((rel_s4 V) V)
% 265.05/265.40  Found (a1 V) as proof of ((rel_s4 V) W)
% 265.05/265.40  Found (a1 V) as proof of ((rel_s4 V) W)
% 265.05/265.40  Found (a1 V) as proof of ((rel_s4 V) W)
% 265.05/265.40  Found a10:=(a1 V):((rel_s4 V) V)
% 265.05/265.40  Found (a1 V) as proof of ((rel_s4 V) S)
% 265.05/265.40  Found (a1 V) as proof of ((rel_s4 V) S)
% 265.05/265.40  Found (a1 V) as proof of ((rel_s4 V) S)
% 265.05/265.40  Found a10:=(a1 W):((rel_s4 W) W)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found a10:=(a1 W):((rel_s4 W) W)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V)
% 265.05/265.40  Found a10:=(a1 W):((rel_s4 W) W)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V)
% 265.05/265.40  Found a10:=(a1 W):((rel_s4 W) W)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V)
% 265.05/265.40  Found a10:=(a1 W):((rel_s4 W) W)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V)
% 265.05/265.40  Found a10:=(a1 S):((rel_s4 S) S)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V)
% 265.05/265.40  Found a10:=(a1 S):((rel_s4 S) S)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V)
% 265.05/265.40  Found a10:=(a1 S):((rel_s4 S) S)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 265.05/265.40  Found a10:=(a1 S):((rel_s4 S) S)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V)
% 265.05/265.40  Found a10:=(a1 S):((rel_s4 S) S)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V)
% 265.05/265.40  Found a10:=(a1 W):((rel_s4 W) W)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found a10:=(a1 W):((rel_s4 W) W)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found a10:=(a1 W):((rel_s4 W) W)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found a10:=(a1 S):((rel_s4 S) S)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 265.05/265.40  Found a10:=(a1 W):((rel_s4 W) W)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found a10:=(a1 W):((rel_s4 W) W)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found a10:=(a1 W):((rel_s4 W) W)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 265.05/265.40  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 265.05/265.40  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 265.05/265.40  Found (a1 V0) as proof of ((rel_s4 V0) W)
% 265.05/265.40  Found a10:=(a1 V):((rel_s4 V) V)
% 265.05/265.40  Found (a1 V) as proof of ((rel_s4 V) W)
% 265.05/265.40  Found (a1 V) as proof of ((rel_s4 V) W)
% 265.05/265.40  Found (a1 V) as proof of ((rel_s4 V) W)
% 265.05/265.40  Found a10:=(a1 W):((rel_s4 W) W)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found (a1 W) as proof of ((rel_s4 W) V0)
% 265.05/265.40  Found a10:=(a1 V0):((rel_s4 V0) V0)
% 265.05/265.40  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 265.05/265.40  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 265.05/265.40  Found (a1 V0) as proof of ((rel_s4 V0) S)
% 265.05/265.40  Found a10:=(a1 S):((rel_s4 S) S)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 265.05/265.40  Found a10:=(a1 S):((rel_s4 S) S)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 265.05/265.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found a10:=(a1 S):((rel_s4 S) S)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found a10:=(a1 S):((rel_s4 S) S)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found a10:=(a1 S):((rel_s4 S) S)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found a10:=(a1 S):((rel_s4 S) S)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found a10:=(a1 V):((rel_s4 V) V)
% 275.63/275.97  Found (a1 V) as proof of ((rel_s4 V) S)
% 275.63/275.97  Found (a1 V) as proof of ((rel_s4 V) S)
% 275.63/275.97  Found (a1 V) as proof of ((rel_s4 V) S)
% 275.63/275.97  Found a10:=(a1 V):((rel_s4 V) V)
% 275.63/275.97  Found (a1 V) as proof of ((rel_s4 V) W)
% 275.63/275.97  Found (a1 V) as proof of ((rel_s4 V) W)
% 275.63/275.97  Found (a1 V) as proof of ((rel_s4 V) W)
% 275.63/275.97  Found a10:=(a1 S):((rel_s4 S) S)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found a10:=(a1 S):((rel_s4 S) S)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V1)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V1)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V1)
% 275.63/275.97  Found (x4 (a1 W)) as proof of False
% 275.63/275.97  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 275.63/275.97  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 275.63/275.97  Found a10:=(a1 V):((rel_s4 V) V)
% 275.63/275.97  Found (a1 V) as proof of ((rel_s4 V) S)
% 275.63/275.97  Found (a1 V) as proof of ((rel_s4 V) S)
% 275.63/275.97  Found (a1 V) as proof of ((rel_s4 V) S)
% 275.63/275.97  Found a10:=(a1 S):((rel_s4 S) S)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found (a1 S) as proof of ((rel_s4 S) V0)
% 275.63/275.97  Found a10:=(a1 W):((rel_s4 W) W)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V1)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V1)
% 275.63/275.97  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found a10:=(a1 W):((rel_s4 W) W)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found a10:=(a1 S):((rel_s4 S) S)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found a10:=(a1 S):((rel_s4 S) S)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found a10:=(a1 S):((rel_s4 S) S)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found a10:=(a1 S):((rel_s4 S) S)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found a10:=(a1 W):((rel_s4 W) W)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.54/283.83  Found (x3 (a1 W)) as proof of False
% 283.54/283.83  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 283.54/283.83  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 283.54/283.83  Found a10:=(a1 S):((rel_s4 S) S)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found a10:=(a1 S):((rel_s4 S) S)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found a10:=(a1 S):((rel_s4 S) S)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found a10:=(a1 W):((rel_s4 W) W)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (x4 (a1 W)) as proof of False
% 283.54/283.83  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 283.54/283.83  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 283.54/283.83  Found a10:=(a1 W):((rel_s4 W) W)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (x4 (a1 W)) as proof of False
% 283.54/283.83  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 283.54/283.83  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 283.54/283.83  Found a10:=(a1 W):((rel_s4 W) W)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found a10:=(a1 W):((rel_s4 W) W)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found a10:=(a1 W):((rel_s4 W) W)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found a10:=(a1 W):((rel_s4 W) W)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.54/283.83  Found a10:=(a1 S):((rel_s4 S) S)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found a10:=(a1 S):((rel_s4 S) S)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found a10:=(a1 S):((rel_s4 S) S)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found a10:=(a1 S):((rel_s4 S) S)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.54/283.83  Found a10:=(a1 W):((rel_s4 W) W)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.54/283.83  Found (x3 (a1 W)) as proof of False
% 283.54/283.83  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 283.54/283.83  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 283.54/283.83  Found a10:=(a1 W):((rel_s4 W) W)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.54/283.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (x5 (a1 W)) as proof of False
% 289.74/290.06  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 289.74/290.06  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (x5 (a1 W)) as proof of False
% 289.74/290.06  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 289.74/290.06  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found (x4 (a1 W)) as proof of False
% 289.74/290.06  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 289.74/290.06  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found (x4 (a1 W)) as proof of False
% 289.74/290.06  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 289.74/290.06  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found a10:=(a1 S):((rel_s4 S) S)
% 289.74/290.06  Found (a1 S) as proof of ((rel_s4 S) V1)
% 289.74/290.06  Found (a1 S) as proof of ((rel_s4 S) V1)
% 289.74/290.06  Found (a1 S) as proof of ((rel_s4 S) V1)
% 289.74/290.06  Found a10:=(a1 S):((rel_s4 S) S)
% 289.74/290.06  Found (a1 S) as proof of ((rel_s4 S) V1)
% 289.74/290.06  Found (a1 S) as proof of ((rel_s4 S) V1)
% 289.74/290.06  Found (a1 S) as proof of ((rel_s4 S) V1)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V)
% 289.74/290.06  Found (x4 (a1 W)) as proof of False
% 289.74/290.06  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 289.74/290.06  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V)
% 289.74/290.06  Found (x4 (a1 W)) as proof of False
% 289.74/290.06  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of False
% 289.74/290.06  Found (fun (x4:(((rel_s4 W) V)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (x5 (a1 W)) as proof of False
% 289.74/290.06  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 289.74/290.06  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 289.74/290.06  Found a10:=(a1 W):((rel_s4 W) W)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 289.74/290.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found (x5 (a1 W)) as proof of False
% 294.31/294.63  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 294.31/294.63  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 294.31/294.63  Found a10:=(a1 W):((rel_s4 W) W)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found a10:=(a1 W):((rel_s4 W) W)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V1)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V1)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V1)
% 294.31/294.63  Found a10:=(a1 W):((rel_s4 W) W)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found a10:=(a1 W):((rel_s4 W) W)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V1)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V1)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V1)
% 294.31/294.63  Found (x4 (a1 W)) as proof of False
% 294.31/294.63  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 294.31/294.63  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 294.31/294.63  Found a10:=(a1 W):((rel_s4 W) W)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V1)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V1)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V1)
% 294.31/294.63  Found (x4 (a1 W)) as proof of False
% 294.31/294.63  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 294.31/294.63  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 294.31/294.63  Found a10:=(a1 W):((rel_s4 W) W)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found (x4 (a1 W)) as proof of False
% 294.31/294.63  Found (fun (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of False
% 294.31/294.63  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 294.31/294.63  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->((mdia_s4 (f X0)) W))
% 294.31/294.63  Found a10:=(a1 V):((rel_s4 V) V)
% 294.31/294.63  Found (a1 V) as proof of ((rel_s4 V) W)
% 294.31/294.63  Found (a1 V) as proof of ((rel_s4 V) W)
% 294.31/294.63  Found (a1 V) as proof of ((rel_s4 V) W)
% 294.31/294.63  Found a10:=(a1 S):((rel_s4 S) S)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V0)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V0)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V0)
% 294.31/294.63  Found (x3 (a1 S)) as proof of False
% 294.31/294.63  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 294.31/294.63  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 294.31/294.63  Found a10:=(a1 W):((rel_s4 W) W)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V0)
% 294.31/294.63  Found a10:=(a1 S):((rel_s4 S) S)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V0)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V0)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V0)
% 294.31/294.63  Found a10:=(a1 V):((rel_s4 V) V)
% 294.31/294.63  Found (a1 V) as proof of ((rel_s4 V) S)
% 294.31/294.63  Found (a1 V) as proof of ((rel_s4 V) S)
% 294.31/294.63  Found (a1 V) as proof of ((rel_s4 V) S)
% 294.31/294.63  Found a10:=(a1 S):((rel_s4 S) S)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 294.31/294.63  Found a10:=(a1 S):((rel_s4 S) S)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V1)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V1)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V1)
% 294.31/294.63  Found (x4 (a1 S)) as proof of False
% 294.31/294.63  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 294.31/294.63  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 294.31/294.63  Found a10:=(a1 W):((rel_s4 W) W)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 294.31/294.63  Found (a1 W) as proof of ((rel_s4 W) V)
% 294.31/294.63  Found a10:=(a1 S):((rel_s4 S) S)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V0)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V0)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V0)
% 294.31/294.63  Found a10:=(a1 S):((rel_s4 S) S)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V)
% 294.31/294.63  Found a10:=(a1 S):((rel_s4 S) S)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V1)
% 294.31/294.63  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found a10:=(a1 S):((rel_s4 S) S)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found a10:=(a1 S):((rel_s4 S) S)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found a10:=(a1 S):((rel_s4 S) S)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found a10:=(a1 W):((rel_s4 W) W)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found a10:=(a1 W):((rel_s4 W) W)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found a10:=(a1 W):((rel_s4 W) W)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V1)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V1)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V1)
% 298.20/298.51  Found a10:=(a1 S):((rel_s4 S) S)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 298.20/298.51  Found a10:=(a1 W):((rel_s4 W) W)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (x5 (a1 W)) as proof of False
% 298.20/298.51  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 298.20/298.51  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 298.20/298.51  Found a10:=(a1 W):((rel_s4 W) W)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (x5 (a1 W)) as proof of False
% 298.20/298.51  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of False
% 298.20/298.51  Found (fun (x5:(((rel_s4 W) V0)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 298.20/298.51  Found a10:=(a1 W):((rel_s4 W) W)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found a10:=(a1 S):((rel_s4 S) S)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 298.20/298.51  Found (x4 (a1 S)) as proof of False
% 298.20/298.51  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 298.20/298.51  Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 298.20/298.51  Found a10:=(a1 W):((rel_s4 W) W)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V1)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V1)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V1)
% 298.20/298.51  Found a10:=(a1 W):((rel_s4 W) W)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found a10:=(a1 W):((rel_s4 W) W)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V1)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V1)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V1)
% 298.20/298.51  Found (x4 (a1 W)) as proof of False
% 298.20/298.51  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 298.20/298.51  Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 298.20/298.51  Found a10:=(a1 W):((rel_s4 W) W)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 298.20/298.51  Found (x4 (a1 W)) as proof of False
% 298.20/298.51  Found (fun (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of False
% 298.20/298.51  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((mdia_s4 (f X0)) W)
% 298.20/298.51  Found (fun (x4:(((rel_s4 W) V0)->False)) (x5:((mbox_s4 (mnot (f X0))) W))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->((mdia_s4 (f X0)) W))
% 298.20/298.51  Found a10:=(a1 S):((rel_s4 S) S)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 298.20/298.51  Found (x3 (a1 S)) as proof of False
% 298.20/298.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 298.20/298.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 298.20/298.51  Found a10:=(a1 S):((rel_s4 S) S)
% 298.20/298.51  Found (a1 S) as proof of ((rel_s4 S) V)
% 298.20/298.51  Found (a1 S) as proof of ((rel_
%------------------------------------------------------------------------------