TSTP Solution File: SYO455^5 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO455^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Tue Mar 29 00:51:33 EDT 2022

% Result   : Timeout 288.00s 288.35s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYO455^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.11  % Command    : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32  % Computer   : n015.cluster.edu
% 0.12/0.32  % Model      : x86_64 x86_64
% 0.12/0.32  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % RAMPerCPU  : 8042.1875MB
% 0.12/0.32  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % DateTime   : Sat Mar 12 20:35:04 EST 2022
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34  Python 2.7.5
% 0.43/0.62  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.43/0.62  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x263ad88>, <kernel.Type object at 0x263ab00>) of role type named mu_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring mu:Type
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x263ad40>, <kernel.DependentProduct object at 0x263ad88>) of role type named meq_ind_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.43/0.62  FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.43/0.62  A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.43/0.62  Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x263ad88>, <kernel.DependentProduct object at 0x263ab90>) of role type named meq_prop_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.62  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.43/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.43/0.62  Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x263ac20>, <kernel.DependentProduct object at 0x263ad40>) of role type named mnot_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.43/0.62  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.43/0.62  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.43/0.62  Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x263ad40>, <kernel.DependentProduct object at 0x263a518>) of role type named mor_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.62  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.43/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.43/0.62  Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x263a518>, <kernel.DependentProduct object at 0x263a680>) of role type named mand_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.62  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.43/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.43/0.62  Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x263a680>, <kernel.DependentProduct object at 0x263a5a8>) of role type named mimplies_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.62  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.43/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.43/0.62  Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x263a5a8>, <kernel.DependentProduct object at 0x263a8c0>) of role type named mimplied_type
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.63  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.48/0.63  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.48/0.63  Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x263a8c0>, <kernel.DependentProduct object at 0x263ad40>) of role type named mequiv_type
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.63  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.48/0.63  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.48/0.63  Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x263ad40>, <kernel.DependentProduct object at 0x263a518>) of role type named mxor_type
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.63  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.48/0.63  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.48/0.63  Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x263ad88>, <kernel.DependentProduct object at 0x263a8c0>) of role type named mforall_ind_type
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.48/0.63  FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.48/0.63  A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.48/0.63  Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2b06acec2638>, <kernel.DependentProduct object at 0x263a290>) of role type named mforall_prop_type
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.48/0.63  FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.48/0.63  A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.48/0.63  Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x263a290>, <kernel.DependentProduct object at 0x263a128>) of role type named mexists_ind_type
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.48/0.63  FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.48/0.63  A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.48/0.64  Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x24c7c68>, <kernel.DependentProduct object at 0x263a320>) of role type named mexists_prop_type
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.48/0.64  FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.48/0.64  A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.48/0.64  Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x24c7c68>, <kernel.DependentProduct object at 0x263a320>) of role type named mtrue_type
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring mtrue:(fofType->Prop)
% 0.48/0.64  FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.48/0.64  A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.48/0.64  Defined: mtrue:=(fun (W:fofType)=> True)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x24c7f80>, <kernel.DependentProduct object at 0x263a128>) of role type named mfalse_type
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring mfalse:(fofType->Prop)
% 0.48/0.64  FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.48/0.64  A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.48/0.64  Defined: mfalse:=(mnot mtrue)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x263a3f8>, <kernel.DependentProduct object at 0x263a440>) of role type named mbox_type
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.64  FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.48/0.64  A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.48/0.64  Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x263a440>, <kernel.DependentProduct object at 0x263a170>) of role type named mdia_type
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.64  FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.48/0.64  A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.48/0.64  Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x263a710>, <kernel.DependentProduct object at 0x263a5a8>) of role type named mreflexive_type
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.48/0.64  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.48/0.64  Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x263a5a8>, <kernel.DependentProduct object at 0x263a0e0>) of role type named msymmetric_type
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.50/0.65  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.50/0.65  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.50/0.65  Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.50/0.65  FOF formula (<kernel.Constant object at 0x24cf8c0>, <kernel.DependentProduct object at 0x24cfbd8>) of role type named mserial_type
% 0.50/0.65  Using role type
% 0.50/0.65  Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.50/0.65  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.50/0.65  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.50/0.65  Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.50/0.65  FOF formula (<kernel.Constant object at 0x24cfc68>, <kernel.DependentProduct object at 0x24cf830>) of role type named mtransitive_type
% 0.50/0.65  Using role type
% 0.50/0.65  Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.50/0.65  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.50/0.65  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.50/0.65  Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.50/0.65  FOF formula (<kernel.Constant object at 0x24cfbd8>, <kernel.DependentProduct object at 0x263a9e0>) of role type named meuclidean_type
% 0.50/0.65  Using role type
% 0.50/0.65  Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.50/0.65  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.50/0.65  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.50/0.65  Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.50/0.65  FOF formula (<kernel.Constant object at 0x24cf8c0>, <kernel.DependentProduct object at 0x263a5a8>) of role type named mpartially_functional_type
% 0.50/0.65  Using role type
% 0.50/0.65  Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.50/0.65  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.50/0.65  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.50/0.65  Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.50/0.65  FOF formula (<kernel.Constant object at 0x24cf8c0>, <kernel.DependentProduct object at 0x263a710>) of role type named mfunctional_type
% 0.50/0.65  Using role type
% 0.50/0.65  Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.50/0.65  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.50/0.66  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.50/0.66  Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.50/0.66  FOF formula (<kernel.Constant object at 0x24cfc68>, <kernel.DependentProduct object at 0x263a3f8>) of role type named mweakly_dense_type
% 0.50/0.66  Using role type
% 0.50/0.66  Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.50/0.66  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.50/0.66  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.50/0.66  Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.50/0.66  FOF formula (<kernel.Constant object at 0x263aa70>, <kernel.DependentProduct object at 0x263a3f8>) of role type named mweakly_connected_type
% 0.50/0.66  Using role type
% 0.50/0.66  Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.50/0.66  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.50/0.66  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.50/0.66  Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.50/0.66  FOF formula (<kernel.Constant object at 0x263ab00>, <kernel.DependentProduct object at 0x263a3f8>) of role type named mweakly_directed_type
% 0.50/0.66  Using role type
% 0.50/0.66  Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.50/0.66  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.50/0.66  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.50/0.66  Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.50/0.66  FOF formula (<kernel.Constant object at 0x263a2d8>, <kernel.DependentProduct object at 0x2643098>) of role type named mvalid_type
% 0.50/0.66  Using role type
% 0.50/0.66  Declaring mvalid:((fofType->Prop)->Prop)
% 0.50/0.66  FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.50/0.66  A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.50/0.66  Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.50/0.66  FOF formula (<kernel.Constant object at 0x263aa70>, <kernel.DependentProduct object at 0x26433b0>) of role type named minvalid_type
% 0.50/0.66  Using role type
% 0.50/0.66  Declaring minvalid:((fofType->Prop)->Prop)
% 0.50/0.66  FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.50/0.67  A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.50/0.67  Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.50/0.67  FOF formula (<kernel.Constant object at 0x26434d0>, <kernel.DependentProduct object at 0x2643638>) of role type named msatisfiable_type
% 0.50/0.67  Using role type
% 0.50/0.67  Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.50/0.67  FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.50/0.67  A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.50/0.67  Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.50/0.67  FOF formula (<kernel.Constant object at 0x26433b0>, <kernel.DependentProduct object at 0x2643200>) of role type named mcountersatisfiable_type
% 0.50/0.67  Using role type
% 0.50/0.67  Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.50/0.67  FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.50/0.67  A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.50/0.67  Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.50/0.67  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^5.ax, trying next directory
% 0.50/0.67  FOF formula (<kernel.Constant object at 0x24c7c68>, <kernel.DependentProduct object at 0x24cf998>) of role type named rel_s4_type
% 0.50/0.67  Using role type
% 0.50/0.67  Declaring rel_s4:(fofType->(fofType->Prop))
% 0.50/0.67  FOF formula (<kernel.Constant object at 0x24cf9e0>, <kernel.DependentProduct object at 0x24cfcb0>) of role type named mbox_s4_type
% 0.50/0.67  Using role type
% 0.50/0.67  Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.50/0.67  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))) of role definition named mbox_s4
% 0.50/0.67  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))))
% 0.50/0.67  Defined: mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))
% 0.50/0.67  FOF formula (<kernel.Constant object at 0x24cfcb0>, <kernel.DependentProduct object at 0x24cf998>) of role type named mdia_s4_type
% 0.50/0.67  Using role type
% 0.50/0.67  Declaring mdia_s4:((fofType->Prop)->(fofType->Prop))
% 0.50/0.67  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))) of role definition named mdia_s4
% 0.50/0.67  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))))
% 0.50/0.67  Defined: mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))
% 0.50/0.67  FOF formula (mreflexive rel_s4) of role axiom named a1
% 0.50/0.67  A new axiom: (mreflexive rel_s4)
% 0.50/0.67  FOF formula (mtransitive rel_s4) of role axiom named a2
% 0.50/0.67  A new axiom: (mtransitive rel_s4)
% 0.50/0.67  FOF formula (<kernel.Constant object at 0x24cc998>, <kernel.DependentProduct object at 0x24ccea8>) of role type named p_type
% 0.50/0.67  Using role type
% 0.50/0.67  Declaring p:(fofType->Prop)
% 0.50/0.67  FOF formula (<kernel.Constant object at 0x24ccb90>, <kernel.DependentProduct object at 0x24cc6c8>) of role type named q_type
% 0.50/0.67  Using role type
% 0.50/0.67  Declaring q:(fofType->Prop)
% 0.50/0.67  FOF formula (mvalid ((mimplies ((mand (mbox_s4 p)) (mbox_s4 ((mor (mnot p)) q)))) (mdia_s4 q))) of role conjecture named prove
% 0.50/0.67  Conjecture to prove = (mvalid ((mimplies ((mand (mbox_s4 p)) (mbox_s4 ((mor (mnot p)) q)))) (mdia_s4 q))):Prop
% 0.50/0.67  Parameter mu_DUMMY:mu.
% 0.50/0.67  Parameter fofType_DUMMY:fofType.
% 0.50/0.67  We need to prove ['(mvalid ((mimplies ((mand (mbox_s4 p)) (mbox_s4 ((mor (mnot p)) q)))) (mdia_s4 q)))']
% 0.50/0.67  Parameter mu:Type.
% 0.50/0.67  Parameter fofType:Type.
% 0.50/0.67  Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.50/0.67  Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.67  Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.50/0.67  Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.67  Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.67  Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.67  Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.67  Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.67  Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.67  Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.50/0.67  Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.50/0.67  Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.50/0.67  Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.50/0.67  Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.50/0.67  Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.50/0.67  Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.67  Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.67  Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.67  Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.67  Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.67  Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.67  Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.67  Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.67  Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.67  Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.67  Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 4.38/4.57  Definition mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))):((fofType->(fofType->Prop))->Prop).
% 4.38/4.57  Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 4.38/4.57  Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 4.38/4.57  Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 4.38/4.57  Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 4.38/4.57  Parameter rel_s4:(fofType->(fofType->Prop)).
% 4.38/4.57  Definition mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 4.38/4.57  Definition mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 4.38/4.57  Axiom a1:(mreflexive rel_s4).
% 4.38/4.57  Axiom a2:(mtransitive rel_s4).
% 4.38/4.57  Parameter p:(fofType->Prop).
% 4.38/4.57  Parameter q:(fofType->Prop).
% 4.38/4.57  Trying to prove (mvalid ((mimplies ((mand (mbox_s4 p)) (mbox_s4 ((mor (mnot p)) q)))) (mdia_s4 q)))
% 4.38/4.57  Found a10:=(a1 W):((rel_s4 W) W)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.38/4.57  Found (x1 (a1 W)) as proof of False
% 4.38/4.57  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.38/4.57  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 4.38/4.57  Found a10:=(a1 S):((rel_s4 S) S)
% 4.38/4.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.38/4.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.38/4.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.38/4.57  Found (x1 (a1 S)) as proof of False
% 4.38/4.57  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 4.38/4.57  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 4.38/4.57  Found a10:=(a1 W):((rel_s4 W) W)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.38/4.57  Found (x1 (a1 W)) as proof of False
% 4.38/4.57  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.38/4.57  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 4.38/4.57  Found a10:=(a1 S):((rel_s4 S) S)
% 4.38/4.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.38/4.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.38/4.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.38/4.57  Found (x1 (a1 S)) as proof of False
% 4.38/4.57  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 4.38/4.57  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 4.38/4.57  Found a10:=(a1 W):((rel_s4 W) W)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V0)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V0)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V0)
% 4.38/4.57  Found (x3 (a1 W)) as proof of False
% 4.38/4.57  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 4.38/4.57  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 4.38/4.57  Found a10:=(a1 W):((rel_s4 W) W)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V0)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V0)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V0)
% 4.38/4.57  Found (x3 (a1 W)) as proof of False
% 4.38/4.57  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 4.38/4.57  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 4.38/4.57  Found a10:=(a1 W):((rel_s4 W) W)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.38/4.57  Found (x1 (a1 W)) as proof of False
% 4.38/4.57  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.38/4.57  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 4.38/4.57  Found a10:=(a1 W):((rel_s4 W) W)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.38/4.57  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.38/4.57  Found (x1 (a1 W)) as proof of False
% 6.34/6.55  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 6.34/6.55  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 6.34/6.55  Found a10:=(a1 S):((rel_s4 S) S)
% 6.34/6.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 6.34/6.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 6.34/6.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 6.34/6.55  Found (x3 (a1 S)) as proof of False
% 6.34/6.55  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 6.34/6.55  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 6.34/6.55  Found a10:=(a1 S):((rel_s4 S) S)
% 6.34/6.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 6.34/6.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 6.34/6.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 6.34/6.55  Found (x3 (a1 S)) as proof of False
% 6.34/6.55  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 6.34/6.55  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 6.34/6.55  Found a10:=(a1 W):((rel_s4 W) W)
% 6.34/6.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.34/6.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.34/6.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.34/6.55  Found (x3 (a1 W)) as proof of False
% 6.34/6.55  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 6.34/6.55  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 6.34/6.55  Found a10:=(a1 W):((rel_s4 W) W)
% 6.34/6.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.34/6.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.34/6.55  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.34/6.55  Found (x3 (a1 W)) as proof of False
% 6.34/6.55  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 6.34/6.55  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 6.34/6.55  Found a10:=(a1 S):((rel_s4 S) S)
% 6.34/6.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 6.34/6.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 6.34/6.55  Found (a1 S) as proof of ((rel_s4 S) V)
% 6.34/6.55  Found (x1 (a1 S)) as proof of False
% 6.34/6.55  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 6.34/6.55  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 6.34/6.55  Found a10:=(a1 S):((rel_s4 S) S)
% 6.34/6.56  Found (a1 S) as proof of ((rel_s4 S) V)
% 6.34/6.56  Found (a1 S) as proof of ((rel_s4 S) V)
% 6.34/6.56  Found (a1 S) as proof of ((rel_s4 S) V)
% 6.34/6.56  Found (x1 (a1 S)) as proof of False
% 6.34/6.56  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 6.34/6.56  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 6.34/6.56  Found a10:=(a1 W):((rel_s4 W) W)
% 6.34/6.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 6.34/6.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 6.34/6.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 6.34/6.56  Found (x1 (a1 W)) as proof of False
% 6.34/6.56  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 6.34/6.56  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 6.34/6.56  Found a10:=(a1 W):((rel_s4 W) W)
% 6.34/6.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 6.34/6.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 6.34/6.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 6.34/6.56  Found (x1 (a1 W)) as proof of False
% 6.34/6.56  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 6.34/6.56  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 6.34/6.56  Found a10:=(a1 S):((rel_s4 S) S)
% 6.34/6.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 6.34/6.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 6.34/6.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 6.34/6.56  Found (x3 (a1 S)) as proof of False
% 6.34/6.56  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 6.34/6.56  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 6.34/6.56  Found a10:=(a1 S):((rel_s4 S) S)
% 6.34/6.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 6.34/6.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 6.34/6.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 6.34/6.56  Found (x3 (a1 S)) as proof of False
% 6.34/6.56  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 6.34/6.56  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 6.34/6.56  Found a10:=(a1 W):((rel_s4 W) W)
% 6.34/6.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 6.34/6.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 6.34/6.56  Found (a1 W) as proof of ((rel_s4 W) V)
% 6.34/6.56  Found (x1 (a1 W)) as proof of False
% 6.34/6.56  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 9.58/9.77  Found a10:=(a1 W):((rel_s4 W) W)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (x1 (a1 W)) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 9.58/9.77  Found a10:=(a1 S):((rel_s4 S) S)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V)
% 9.58/9.77  Found (x1 (a1 S)) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 9.58/9.77  Found a10:=(a1 S):((rel_s4 S) S)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V)
% 9.58/9.77  Found (x1 (a1 S)) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 9.58/9.77  Found a10:=(a1 W):((rel_s4 W) W)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.58/9.77  Found a10:=(a1 W):((rel_s4 W) W)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.58/9.77  Found a10:=(a1 S):((rel_s4 S) S)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V)
% 9.58/9.77  Found (x1 (a1 S)) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 9.58/9.77  Found a10:=(a1 S):((rel_s4 S) S)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V)
% 9.58/9.77  Found (x1 (a1 S)) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 9.58/9.77  Found a10:=(a1 W):((rel_s4 W) W)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (x1 (a1 W)) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 9.58/9.77  Found a10:=(a1 W):((rel_s4 W) W)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (x1 (a1 W)) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 9.58/9.77  Found a10:=(a1 W):((rel_s4 W) W)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (x1 (a1 W)) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 9.58/9.77  Found a10:=(a1 W):((rel_s4 W) W)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.58/9.77  Found (x1 (a1 W)) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 9.58/9.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 9.58/9.77  Found a10:=(a1 S):((rel_s4 S) S)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.58/9.77  Found a10:=(a1 S):((rel_s4 S) S)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.58/9.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.58/9.77  Found a10:=(a1 W):((rel_s4 W) W)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.58/9.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found a10:=(a1 S):((rel_s4 S) S)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 12.87/13.09  Found (x1 (a1 S)) as proof of False
% 12.87/13.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 12.87/13.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 12.87/13.09  Found a10:=(a1 S):((rel_s4 S) S)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 12.87/13.09  Found (x1 (a1 S)) as proof of False
% 12.87/13.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 12.87/13.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 12.87/13.09  Found a10:=(a1 S):((rel_s4 S) S)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 12.87/13.09  Found (x1 (a1 S)) as proof of False
% 12.87/13.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 12.87/13.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 12.87/13.09  Found a10:=(a1 S):((rel_s4 S) S)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 12.87/13.09  Found (x1 (a1 S)) as proof of False
% 12.87/13.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 12.87/13.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 12.87/13.09  Found a10:=(a1 W):((rel_s4 W) W)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found a10:=(a1 W):((rel_s4 W) W)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 12.87/13.09  Found (x1 (a1 W)) as proof of False
% 12.87/13.09  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.87/13.09  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 12.87/13.09  Found a10:=(a1 W):((rel_s4 W) W)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 12.87/13.09  Found (x1 (a1 W)) as proof of False
% 12.87/13.09  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.87/13.09  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 12.87/13.09  Found a10:=(a1 W):((rel_s4 W) W)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (x3 (a1 W)) as proof of False
% 12.87/13.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 12.87/13.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 12.87/13.09  Found a10:=(a1 W):((rel_s4 W) W)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (x3 (a1 W)) as proof of False
% 12.87/13.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 12.87/13.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 12.87/13.09  Found a10:=(a1 W):((rel_s4 W) W)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (x3 (a1 W)) as proof of False
% 12.87/13.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 12.87/13.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 12.87/13.09  Found a10:=(a1 S):((rel_s4 S) S)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 12.87/13.09  Found a10:=(a1 W):((rel_s4 W) W)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.87/13.09  Found (x3 (a1 W)) as proof of False
% 12.87/13.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 12.87/13.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 12.87/13.09  Found a10:=(a1 S):((rel_s4 S) S)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 12.87/13.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found a10:=(a1 S):((rel_s4 S) S)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V)
% 17.86/18.05  Found (x1 (a1 S)) as proof of False
% 17.86/18.05  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 17.86/18.05  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 17.86/18.05  Found a10:=(a1 S):((rel_s4 S) S)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V)
% 17.86/18.05  Found (x1 (a1 S)) as proof of False
% 17.86/18.05  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 17.86/18.05  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 17.86/18.05  Found a10:=(a1 W):((rel_s4 W) W)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V)
% 17.86/18.05  Found (x1 (a1 W)) as proof of False
% 17.86/18.05  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 17.86/18.05  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 17.86/18.05  Found a10:=(a1 S):((rel_s4 S) S)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found (x3 (a1 S)) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 17.86/18.05  Found a10:=(a1 S):((rel_s4 S) S)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found (x3 (a1 S)) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 17.86/18.05  Found a10:=(a1 S):((rel_s4 S) S)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found (x3 (a1 S)) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 17.86/18.05  Found a10:=(a1 S):((rel_s4 S) S)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.86/18.05  Found (x3 (a1 S)) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 17.86/18.05  Found a10:=(a1 W):((rel_s4 W) W)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (x3 (a1 W)) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 17.86/18.05  Found a10:=(a1 W):((rel_s4 W) W)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (x3 (a1 W)) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 17.86/18.05  Found a10:=(a1 W):((rel_s4 W) W)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (x3 (a1 W)) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 17.86/18.05  Found a10:=(a1 W):((rel_s4 W) W)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found a10:=(a1 W):((rel_s4 W) W)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 17.86/18.05  Found (x3 (a1 W)) as proof of False
% 17.86/18.05  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 22.91/23.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 22.91/23.09  Found a10:=(a1 W):((rel_s4 W) W)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found a10:=(a1 S):((rel_s4 S) S)
% 22.91/23.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.91/23.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.91/23.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.91/23.09  Found (x1 (a1 S)) as proof of False
% 22.91/23.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 22.91/23.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 22.91/23.09  Found a10:=(a1 W):((rel_s4 W) W)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 22.91/23.09  Found (x1 (a1 W)) as proof of False
% 22.91/23.09  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 22.91/23.09  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 22.91/23.09  Found a10:=(a1 W):((rel_s4 W) W)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V1)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V1)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V1)
% 22.91/23.09  Found (x5 (a1 W)) as proof of False
% 22.91/23.09  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 22.91/23.09  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 22.91/23.09  Found a10:=(a1 W):((rel_s4 W) W)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (x2 (a1 W)) as proof of False
% 22.91/23.09  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 22.91/23.09  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 22.91/23.09  Found a10:=(a1 W):((rel_s4 W) W)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (x2 (a1 W)) as proof of False
% 22.91/23.09  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 22.91/23.09  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 22.91/23.09  Found a10:=(a1 W):((rel_s4 W) W)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V1)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V1)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V1)
% 22.91/23.09  Found (x5 (a1 W)) as proof of False
% 22.91/23.09  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 22.91/23.09  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 22.91/23.09  Found a10:=(a1 W):((rel_s4 W) W)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V1)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V1)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V1)
% 22.91/23.09  Found (x5 (a1 W)) as proof of False
% 22.91/23.09  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 22.91/23.09  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 22.91/23.09  Found a10:=(a1 S):((rel_s4 S) S)
% 22.91/23.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.91/23.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.91/23.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.91/23.09  Found (x3 (a1 S)) as proof of False
% 22.91/23.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 22.91/23.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 22.91/23.09  Found a10:=(a1 W):((rel_s4 W) W)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (x2 (a1 W)) as proof of False
% 22.91/23.09  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 22.91/23.09  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 22.91/23.09  Found a10:=(a1 W):((rel_s4 W) W)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.91/23.09  Found (x2 (a1 W)) as proof of False
% 22.91/23.09  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 22.91/23.09  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 22.91/23.09  Found a10:=(a1 W):((rel_s4 W) W)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V1)
% 22.91/23.09  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.25/27.43  Found (x5 (a1 W)) as proof of False
% 27.25/27.43  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 27.25/27.43  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 27.25/27.43  Found a10:=(a1 W):((rel_s4 W) W)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (x1 (a1 W)) as proof of False
% 27.25/27.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 27.25/27.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 27.25/27.43  Found a10:=(a1 W):((rel_s4 W) W)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (x1 (a1 W)) as proof of False
% 27.25/27.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 27.25/27.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 27.25/27.43  Found a10:=(a1 W):((rel_s4 W) W)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (x1 (a1 W)) as proof of False
% 27.25/27.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 27.25/27.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 27.25/27.43  Found a10:=(a1 W):((rel_s4 W) W)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (x1 (a1 W)) as proof of False
% 27.25/27.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 27.25/27.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 27.25/27.43  Found a10:=(a1 W):((rel_s4 W) W)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (x1 (a1 W)) as proof of False
% 27.25/27.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 27.25/27.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 27.25/27.43  Found a10:=(a1 W):((rel_s4 W) W)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 27.25/27.43  Found (x1 (a1 W)) as proof of False
% 27.25/27.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 27.25/27.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 27.25/27.43  Found a10:=(a1 S):((rel_s4 S) S)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found a10:=(a1 S):((rel_s4 S) S)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found (x3 (a1 S)) as proof of False
% 27.25/27.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 27.25/27.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 27.25/27.43  Found a10:=(a1 S):((rel_s4 S) S)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found (x3 (a1 S)) as proof of False
% 27.25/27.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 27.25/27.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 27.25/27.43  Found a10:=(a1 S):((rel_s4 S) S)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found a10:=(a1 S):((rel_s4 S) S)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 27.25/27.43  Found (x3 (a1 S)) as proof of False
% 27.25/27.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 27.25/27.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 27.25/27.43  Found a10:=(a1 S):((rel_s4 S) S)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.25/27.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 27.25/27.43  Found (x1 (a1 S)) as proof of False
% 27.25/27.43  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 30.61/30.80  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 30.61/30.80  Found a10:=(a1 W):((rel_s4 W) W)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found a10:=(a1 W):((rel_s4 W) W)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found a10:=(a1 W):((rel_s4 W) W)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found a10:=(a1 W):((rel_s4 W) W)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found a10:=(a1 S):((rel_s4 S) S)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 30.61/30.80  Found (x5 (a1 S)) as proof of False
% 30.61/30.80  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 30.61/30.80  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 30.61/30.80  Found a10:=(a1 W):((rel_s4 W) W)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found a10:=(a1 S):((rel_s4 S) S)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 30.61/30.80  Found (x2 (a1 S)) as proof of False
% 30.61/30.80  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 30.61/30.80  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 30.61/30.80  Found a10:=(a1 S):((rel_s4 S) S)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 30.61/30.80  Found (x2 (a1 S)) as proof of False
% 30.61/30.80  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 30.61/30.80  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 30.61/30.80  Found a10:=(a1 W):((rel_s4 W) W)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found (a1 W) as proof of ((rel_s4 W) V0)
% 30.61/30.80  Found a10:=(a1 S):((rel_s4 S) S)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 30.61/30.80  Found (x5 (a1 S)) as proof of False
% 30.61/30.80  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 30.61/30.80  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 30.61/30.80  Found a10:=(a1 S):((rel_s4 S) S)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 30.61/30.80  Found (x5 (a1 S)) as proof of False
% 30.61/30.80  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 30.61/30.80  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 30.61/30.80  Found a10:=(a1 S):((rel_s4 S) S)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V)
% 30.61/30.80  Found (x1 (a1 S)) as proof of False
% 30.61/30.80  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 30.61/30.80  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 30.61/30.80  Found a10:=(a1 S):((rel_s4 S) S)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V)
% 30.61/30.80  Found (x1 (a1 S)) as proof of False
% 30.61/30.80  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 30.61/30.80  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 30.61/30.80  Found a10:=(a1 S):((rel_s4 S) S)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V)
% 30.61/30.80  Found (x1 (a1 S)) as proof of False
% 30.61/30.80  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 30.61/30.80  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 30.61/30.80  Found a10:=(a1 S):((rel_s4 S) S)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V)
% 30.61/30.80  Found (a1 S) as proof of ((rel_s4 S) V)
% 34.74/34.96  Found (x1 (a1 S)) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 34.74/34.96  Found a10:=(a1 S):((rel_s4 S) S)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 34.74/34.96  Found (x2 (a1 S)) as proof of False
% 34.74/34.96  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 34.74/34.96  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 34.74/34.96  Found a10:=(a1 S):((rel_s4 S) S)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 34.74/34.96  Found (x2 (a1 S)) as proof of False
% 34.74/34.96  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 34.74/34.96  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 34.74/34.96  Found a10:=(a1 S):((rel_s4 S) S)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 34.74/34.96  Found (x5 (a1 S)) as proof of False
% 34.74/34.96  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 34.74/34.96  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 34.74/34.96  Found a10:=(a1 S):((rel_s4 S) S)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 34.74/34.96  Found (x1 (a1 S)) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 34.74/34.96  Found a10:=(a1 S):((rel_s4 S) S)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 34.74/34.96  Found (a1 S) as proof of ((rel_s4 S) V)
% 34.74/34.96  Found (x1 (a1 S)) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 34.74/34.96  Found a10:=(a1 W):((rel_s4 W) W)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (x1 (a1 W)) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 34.74/34.96  Found a10:=(a1 W):((rel_s4 W) W)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (x1 (a1 W)) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 34.74/34.96  Found a10:=(a1 W):((rel_s4 W) W)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (x1 (a1 W)) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 34.74/34.96  Found a10:=(a1 W):((rel_s4 W) W)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (x1 (a1 W)) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 34.74/34.96  Found a10:=(a1 W):((rel_s4 W) W)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (x1 (a1 W)) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 34.74/34.96  Found a10:=(a1 W):((rel_s4 W) W)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 34.74/34.96  Found (x1 (a1 W)) as proof of False
% 34.74/34.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 38.50/38.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 38.50/38.77  Found a10:=(a1 W):((rel_s4 W) W)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (x1 (a1 W)) as proof of False
% 38.50/38.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 38.50/38.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 38.50/38.77  Found a10:=(a1 W):((rel_s4 W) W)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (x1 (a1 W)) as proof of False
% 38.50/38.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 38.50/38.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 38.50/38.77  Found a10:=(a1 W):((rel_s4 W) W)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (x1 (a1 W)) as proof of False
% 38.50/38.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 38.50/38.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 38.50/38.77  Found a10:=(a1 W):((rel_s4 W) W)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (x1 (a1 W)) as proof of False
% 38.50/38.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 38.50/38.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 38.50/38.77  Found a10:=(a1 W):((rel_s4 W) W)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (x1 (a1 W)) as proof of False
% 38.50/38.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 38.50/38.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 38.50/38.77  Found a10:=(a1 W):((rel_s4 W) W)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V)
% 38.50/38.77  Found (x1 (a1 W)) as proof of False
% 38.50/38.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 38.50/38.77  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 38.50/38.77  Found a10:=(a1 W):((rel_s4 W) W)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.50/38.77  Found (x2 (a1 W)) as proof of False
% 38.50/38.77  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 38.50/38.77  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 38.50/38.77  Found a10:=(a1 W):((rel_s4 W) W)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.50/38.77  Found (x2 (a1 W)) as proof of False
% 38.50/38.77  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 38.50/38.77  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 38.50/38.77  Found a10:=(a1 W):((rel_s4 W) W)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.50/38.77  Found (x2 (a1 W)) as proof of False
% 38.50/38.77  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 38.50/38.77  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 38.50/38.77  Found a10:=(a1 W):((rel_s4 W) W)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 38.50/38.77  Found (x2 (a1 W)) as proof of False
% 38.50/38.77  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 38.50/38.77  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 38.50/38.77  Found a10:=(a1 W):((rel_s4 W) W)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V1)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V1)
% 38.50/38.77  Found (a1 W) as proof of ((rel_s4 W) V1)
% 38.50/38.77  Found (x5 (a1 W)) as proof of False
% 38.50/38.77  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 38.50/38.77  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 45.00/45.24  Found a10:=(a1 W):((rel_s4 W) W)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (x2 (a1 W)) as proof of False
% 45.00/45.24  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 45.00/45.24  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 45.00/45.24  Found a10:=(a1 W):((rel_s4 W) W)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (x2 (a1 W)) as proof of False
% 45.00/45.24  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 45.00/45.24  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 45.00/45.24  Found a10:=(a1 W):((rel_s4 W) W)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (x2 (a1 W)) as proof of False
% 45.00/45.24  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 45.00/45.24  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 45.00/45.24  Found a10:=(a1 W):((rel_s4 W) W)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (x2 (a1 W)) as proof of False
% 45.00/45.24  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 45.00/45.24  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 45.00/45.24  Found a10:=(a1 S):((rel_s4 S) S)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found a10:=(a1 W):((rel_s4 W) W)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 45.00/45.24  Found (x5 (a1 W)) as proof of False
% 45.00/45.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 45.00/45.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 45.00/45.24  Found a10:=(a1 W):((rel_s4 W) W)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 45.00/45.24  Found (x5 (a1 W)) as proof of False
% 45.00/45.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 45.00/45.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 45.00/45.24  Found a10:=(a1 S):((rel_s4 S) S)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found a10:=(a1 S):((rel_s4 S) S)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found a10:=(a1 W):((rel_s4 W) W)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 45.00/45.24  Found (x5 (a1 W)) as proof of False
% 45.00/45.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 45.00/45.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 45.00/45.24  Found a10:=(a1 S):((rel_s4 S) S)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found a10:=(a1 S):((rel_s4 S) S)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found a10:=(a1 S):((rel_s4 S) S)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.00/45.24  Found a10:=(a1 W):((rel_s4 W) W)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 45.00/45.24  Found a10:=(a1 S):((rel_s4 S) S)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.00/45.24  Found (a1 S) as proof of ((rel_s4 S) V)
% 45.00/45.24  Found (x1 (a1 S)) as proof of False
% 45.00/45.24  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 45.00/45.24  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 45.00/45.24  Found a10:=(a1 S):((rel_s4 S) S)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (x1 (a1 S)) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 47.95/48.19  Found a10:=(a1 S):((rel_s4 S) S)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (x1 (a1 S)) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 47.95/48.19  Found a10:=(a1 S):((rel_s4 S) S)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (x1 (a1 S)) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 47.95/48.19  Found a10:=(a1 S):((rel_s4 S) S)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (x1 (a1 S)) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 47.95/48.19  Found a10:=(a1 S):((rel_s4 S) S)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (x1 (a1 S)) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 47.95/48.19  Found a10:=(a1 S):((rel_s4 S) S)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (x1 (a1 S)) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 47.95/48.19  Found a10:=(a1 S):((rel_s4 S) S)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (x1 (a1 S)) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 47.95/48.19  Found a10:=(a1 W):((rel_s4 W) W)
% 47.95/48.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 47.95/48.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 47.95/48.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 47.95/48.19  Found a10:=(a1 W):((rel_s4 W) W)
% 47.95/48.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 47.95/48.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 47.95/48.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 47.95/48.19  Found a10:=(a1 W):((rel_s4 W) W)
% 47.95/48.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 47.95/48.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 47.95/48.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 47.95/48.19  Found a10:=(a1 S):((rel_s4 S) S)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (x1 (a1 S)) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 47.95/48.19  Found a10:=(a1 S):((rel_s4 S) S)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (x1 (a1 S)) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 47.95/48.19  Found a10:=(a1 S):((rel_s4 S) S)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (a1 S) as proof of ((rel_s4 S) V)
% 47.95/48.19  Found (x1 (a1 S)) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 47.95/48.19  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 47.95/48.19  Found a10:=(a1 S):((rel_s4 S) S)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V)
% 51.70/51.95  Found (x1 (a1 S)) as proof of False
% 51.70/51.95  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 51.70/51.95  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 51.70/51.95  Found a10:=(a1 S):((rel_s4 S) S)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (x2 (a1 S)) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 51.70/51.95  Found a10:=(a1 S):((rel_s4 S) S)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (x2 (a1 S)) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 51.70/51.95  Found a10:=(a1 S):((rel_s4 S) S)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (x2 (a1 S)) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 51.70/51.95  Found a10:=(a1 S):((rel_s4 S) S)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (x2 (a1 S)) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 51.70/51.95  Found a10:=(a1 S):((rel_s4 S) S)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (x2 (a1 S)) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 51.70/51.95  Found a10:=(a1 S):((rel_s4 S) S)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (x2 (a1 S)) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 51.70/51.95  Found a10:=(a1 S):((rel_s4 S) S)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V1)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V1)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V1)
% 51.70/51.95  Found (x5 (a1 S)) as proof of False
% 51.70/51.95  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 51.70/51.95  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 51.70/51.95  Found a10:=(a1 S):((rel_s4 S) S)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (x2 (a1 S)) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 51.70/51.95  Found a10:=(a1 S):((rel_s4 S) S)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.70/51.95  Found (x2 (a1 S)) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 51.70/51.95  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 51.70/51.95  Found a10:=(a1 W):((rel_s4 W) W)
% 51.70/51.95  Found (a1 W) as proof of ((rel_s4 W) V)
% 51.70/51.95  Found (a1 W) as proof of ((rel_s4 W) V)
% 51.70/51.95  Found (a1 W) as proof of ((rel_s4 W) V)
% 51.70/51.95  Found (x1 (a1 W)) as proof of False
% 51.70/51.95  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 51.70/51.95  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 51.70/51.95  Found a10:=(a1 W):((rel_s4 W) W)
% 51.70/51.95  Found (a1 W) as proof of ((rel_s4 W) V)
% 51.70/51.95  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (x1 (a1 W)) as proof of False
% 57.49/57.70  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 57.49/57.70  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 57.49/57.70  Found a10:=(a1 W):((rel_s4 W) W)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (x1 (a1 W)) as proof of False
% 57.49/57.70  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 57.49/57.70  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 57.49/57.70  Found a10:=(a1 W):((rel_s4 W) W)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (x1 (a1 W)) as proof of False
% 57.49/57.70  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 57.49/57.70  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 57.49/57.70  Found a10:=(a1 W):((rel_s4 W) W)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (x1 (a1 W)) as proof of False
% 57.49/57.70  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 57.49/57.70  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 57.49/57.70  Found a10:=(a1 W):((rel_s4 W) W)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V)
% 57.49/57.70  Found (x1 (a1 W)) as proof of False
% 57.49/57.70  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 57.49/57.70  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 57.49/57.70  Found a10:=(a1 S):((rel_s4 S) S)
% 57.49/57.70  Found (a1 S) as proof of ((rel_s4 S) V1)
% 57.49/57.70  Found (a1 S) as proof of ((rel_s4 S) V1)
% 57.49/57.70  Found (a1 S) as proof of ((rel_s4 S) V1)
% 57.49/57.70  Found (x5 (a1 S)) as proof of False
% 57.49/57.70  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 57.49/57.70  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 57.49/57.70  Found a10:=(a1 S):((rel_s4 S) S)
% 57.49/57.70  Found (a1 S) as proof of ((rel_s4 S) V1)
% 57.49/57.70  Found (a1 S) as proof of ((rel_s4 S) V1)
% 57.49/57.70  Found (a1 S) as proof of ((rel_s4 S) V1)
% 57.49/57.70  Found (x5 (a1 S)) as proof of False
% 57.49/57.70  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 57.49/57.70  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 57.49/57.70  Found a10:=(a1 S):((rel_s4 S) S)
% 57.49/57.70  Found (a1 S) as proof of ((rel_s4 S) V1)
% 57.49/57.70  Found (a1 S) as proof of ((rel_s4 S) V1)
% 57.49/57.70  Found (a1 S) as proof of ((rel_s4 S) V1)
% 57.49/57.70  Found (x5 (a1 S)) as proof of False
% 57.49/57.70  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 57.49/57.70  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 57.49/57.70  Found a10:=(a1 W):((rel_s4 W) W)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V1)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V1)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V1)
% 57.49/57.70  Found a10:=(a1 W):((rel_s4 W) W)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V1)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V1)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V1)
% 57.49/57.70  Found a10:=(a1 W):((rel_s4 W) W)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 57.49/57.70  Found (x3 (a1 W)) as proof of False
% 57.49/57.70  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 57.49/57.70  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 57.49/57.70  Found a10:=(a1 W):((rel_s4 W) W)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 57.49/57.70  Found (x3 (a1 W)) as proof of False
% 57.49/57.70  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 57.49/57.70  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 57.49/57.70  Found a10:=(a1 W):((rel_s4 W) W)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 57.49/57.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 57.49/57.70  Found (x3 (a1 W)) as proof of False
% 57.49/57.70  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 60.69/60.92  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (x2 (a1 W)) as proof of False
% 60.69/60.92  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 60.69/60.92  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (x2 (a1 W)) as proof of False
% 60.69/60.92  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 60.69/60.92  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (x3 (a1 W)) as proof of False
% 60.69/60.92  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 60.69/60.92  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (x3 (a1 W)) as proof of False
% 60.69/60.92  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 60.69/60.92  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (x3 (a1 W)) as proof of False
% 60.69/60.92  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 60.69/60.92  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (x2 (a1 W)) as proof of False
% 60.69/60.92  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 60.69/60.92  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 60.69/60.92  Found a10:=(a1 S):((rel_s4 S) S)
% 60.69/60.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 60.69/60.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 60.69/60.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (x2 (a1 W)) as proof of False
% 60.69/60.92  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 60.69/60.92  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 60.69/60.92  Found a10:=(a1 S):((rel_s4 S) S)
% 60.69/60.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 60.69/60.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 60.69/60.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 60.69/60.92  Found a10:=(a1 W):((rel_s4 W) W)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 60.69/60.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found a10:=(a1 W):((rel_s4 W) W)
% 71.42/71.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 71.42/71.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 71.42/71.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (x1 (a1 S)) as proof of False
% 71.42/71.65  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 71.42/71.65  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (x1 (a1 S)) as proof of False
% 71.42/71.65  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 71.42/71.65  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (x1 (a1 S)) as proof of False
% 71.42/71.65  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 71.42/71.65  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (x1 (a1 S)) as proof of False
% 71.42/71.65  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 71.42/71.65  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (x1 (a1 S)) as proof of False
% 71.42/71.65  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 71.42/71.65  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V)
% 71.42/71.65  Found (x1 (a1 S)) as proof of False
% 71.42/71.65  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 71.42/71.65  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found (x3 (a1 S)) as proof of False
% 71.42/71.65  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 71.42/71.65  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found (x3 (a1 S)) as proof of False
% 71.42/71.65  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 71.42/71.65  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 71.42/71.65  Found (x2 (a1 S)) as proof of False
% 71.42/71.65  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 71.42/71.65  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 71.42/71.65  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (x2 (a1 S)) as proof of False
% 77.99/78.20  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 77.99/78.20  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (x3 (a1 S)) as proof of False
% 77.99/78.20  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 77.99/78.20  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (x3 (a1 S)) as proof of False
% 77.99/78.20  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 77.99/78.20  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (x3 (a1 S)) as proof of False
% 77.99/78.20  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 77.99/78.20  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (x2 (a1 S)) as proof of False
% 77.99/78.20  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 77.99/78.20  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (x2 (a1 S)) as proof of False
% 77.99/78.20  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 77.99/78.20  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (x3 (a1 S)) as proof of False
% 77.99/78.20  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 77.99/78.20  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found a10:=(a1 S):((rel_s4 S) S)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 77.99/78.20  Found a10:=(a1 W):((rel_s4 W) W)
% 77.99/78.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 77.99/78.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 77.99/78.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 77.99/78.20  Found (x3 (a1 W)) as proof of False
% 77.99/78.20  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 77.99/78.20  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (x3 (a1 W)) as proof of False
% 84.18/84.46  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 84.18/84.46  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (x3 (a1 W)) as proof of False
% 84.18/84.46  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 84.18/84.46  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (x3 (a1 W)) as proof of False
% 84.18/84.46  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 84.18/84.46  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (x3 (a1 W)) as proof of False
% 84.18/84.46  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 84.18/84.46  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (x3 (a1 W)) as proof of False
% 84.18/84.46  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 84.18/84.46  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (x3 (a1 W)) as proof of False
% 84.18/84.46  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 84.18/84.46  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 84.18/84.46  Found a10:=(a1 W):((rel_s4 W) W)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 84.18/84.46  Found (x3 (a1 W)) as proof of False
% 84.18/84.46  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 94.02/94.25  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (x3 (a1 W)) as proof of False
% 94.02/94.25  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 94.02/94.25  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (x3 (a1 W)) as proof of False
% 94.02/94.25  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 94.02/94.25  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V1)
% 94.02/94.25  Found (x5 (a1 W)) as proof of False
% 94.02/94.25  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 94.02/94.25  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 94.02/94.25  Found a10:=(a1 W):((rel_s4 W) W)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.02/94.25  Found (x2 (a1 W)) as proof of False
% 94.02/94.25  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 94.02/94.25  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 97.10/97.38  Found a10:=(a1 W):((rel_s4 W) W)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (x2 (a1 W)) as proof of False
% 97.10/97.38  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 97.10/97.38  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 97.10/97.38  Found a10:=(a1 W):((rel_s4 W) W)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.10/97.38  Found (x5 (a1 W)) as proof of False
% 97.10/97.38  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 97.10/97.38  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 97.10/97.38  Found a10:=(a1 W):((rel_s4 W) W)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (x2 (a1 W)) as proof of False
% 97.10/97.38  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 97.10/97.38  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 97.10/97.38  Found a10:=(a1 W):((rel_s4 W) W)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (x2 (a1 W)) as proof of False
% 97.10/97.38  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 97.10/97.38  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 97.10/97.38  Found a10:=(a1 W):((rel_s4 W) W)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (x2 (a1 W)) as proof of False
% 97.10/97.38  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 97.10/97.38  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 97.10/97.38  Found a10:=(a1 W):((rel_s4 W) W)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 97.10/97.38  Found (x2 (a1 W)) as proof of False
% 97.10/97.38  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 97.10/97.38  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 97.10/97.38  Found a10:=(a1 W):((rel_s4 W) W)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V)
% 97.10/97.38  Found (x1 (a1 W)) as proof of False
% 97.10/97.38  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 97.10/97.38  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 97.10/97.38  Found a10:=(a1 W):((rel_s4 W) W)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V)
% 97.10/97.38  Found (x1 (a1 W)) as proof of False
% 97.10/97.38  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 97.10/97.38  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 97.10/97.38  Found a10:=(a1 W):((rel_s4 W) W)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.10/97.38  Found (x5 (a1 W)) as proof of False
% 97.10/97.38  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 97.10/97.38  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 97.10/97.38  Found a10:=(a1 W):((rel_s4 W) W)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.10/97.38  Found (x5 (a1 W)) as proof of False
% 97.10/97.38  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 97.10/97.38  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 97.10/97.38  Found a10:=(a1 W):((rel_s4 W) W)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V)
% 97.10/97.38  Found (x1 (a1 W)) as proof of False
% 97.10/97.38  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 97.10/97.38  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 97.10/97.38  Found a10:=(a1 W):((rel_s4 W) W)
% 97.10/97.38  Found (a1 W) as proof of ((rel_s4 W) V)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 101.75/101.96  Found (x1 (a1 W)) as proof of False
% 101.75/101.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 101.75/101.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 101.75/101.96  Found a10:=(a1 W):((rel_s4 W) W)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 101.75/101.96  Found (x1 (a1 W)) as proof of False
% 101.75/101.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 101.75/101.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 101.75/101.96  Found a10:=(a1 W):((rel_s4 W) W)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V)
% 101.75/101.96  Found (x1 (a1 W)) as proof of False
% 101.75/101.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 101.75/101.96  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 101.75/101.96  Found a10:=(a1 W):((rel_s4 W) W)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (x2 (a1 W)) as proof of False
% 101.75/101.96  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 101.75/101.96  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 101.75/101.96  Found a10:=(a1 W):((rel_s4 W) W)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (x2 (a1 W)) as proof of False
% 101.75/101.96  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 101.75/101.96  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 101.75/101.96  Found a10:=(a1 W):((rel_s4 W) W)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (x2 (a1 W)) as proof of False
% 101.75/101.96  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 101.75/101.96  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 101.75/101.96  Found a10:=(a1 W):((rel_s4 W) W)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 101.75/101.96  Found (x5 (a1 W)) as proof of False
% 101.75/101.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 101.75/101.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 101.75/101.96  Found a10:=(a1 W):((rel_s4 W) W)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 101.75/101.96  Found (x5 (a1 W)) as proof of False
% 101.75/101.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 101.75/101.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 101.75/101.96  Found a10:=(a1 W):((rel_s4 W) W)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (x2 (a1 W)) as proof of False
% 101.75/101.96  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 101.75/101.96  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 101.75/101.96  Found a10:=(a1 W):((rel_s4 W) W)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (x2 (a1 W)) as proof of False
% 101.75/101.96  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 101.75/101.96  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 101.75/101.96  Found a10:=(a1 W):((rel_s4 W) W)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 101.75/101.96  Found (x2 (a1 W)) as proof of False
% 101.75/101.96  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 101.75/101.96  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 101.75/101.96  Found a10:=(a1 W):((rel_s4 W) W)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 101.75/101.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 111.50/111.72  Found (x5 (a1 W)) as proof of False
% 111.50/111.72  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 111.50/111.72  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found a10:=(a1 W):((rel_s4 W) W)
% 111.50/111.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 111.50/111.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 111.50/111.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 111.50/111.72  Found (x5 (a1 W)) as proof of False
% 111.50/111.72  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 111.50/111.72  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (x3 (a1 S)) as proof of False
% 111.50/111.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 111.50/111.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (x3 (a1 S)) as proof of False
% 111.50/111.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 111.50/111.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (x3 (a1 S)) as proof of False
% 111.50/111.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 111.50/111.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (x3 (a1 S)) as proof of False
% 111.50/111.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 111.50/111.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (x3 (a1 S)) as proof of False
% 111.50/111.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 111.50/111.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (x3 (a1 S)) as proof of False
% 111.50/111.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 111.50/111.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 111.50/111.72  Found a10:=(a1 S):((rel_s4 S) S)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (x3 (a1 S)) as proof of False
% 114.30/114.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 114.30/114.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 114.30/114.51  Found a10:=(a1 S):((rel_s4 S) S)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (x3 (a1 S)) as proof of False
% 114.30/114.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 114.30/114.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 114.30/114.51  Found a10:=(a1 S):((rel_s4 S) S)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found a10:=(a1 S):((rel_s4 S) S)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found a10:=(a1 W):((rel_s4 W) W)
% 114.30/114.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 114.30/114.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 114.30/114.51  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 114.30/114.51  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 114.30/114.51  Found a10:=(a1 W):((rel_s4 W) W)
% 114.30/114.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 114.30/114.51  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 114.30/114.51  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 114.30/114.51  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 114.30/114.51  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 114.30/114.51  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 114.30/114.51  Found a10:=(a1 S):((rel_s4 S) S)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found a10:=(a1 S):((rel_s4 S) S)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (x3 (a1 S)) as proof of False
% 114.30/114.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 114.30/114.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 114.30/114.51  Found a10:=(a1 S):((rel_s4 S) S)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V0)
% 114.30/114.51  Found (x3 (a1 S)) as proof of False
% 114.30/114.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 114.30/114.51  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 114.30/114.51  Found a10:=(a1 S):((rel_s4 S) S)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found a10:=(a1 S):((rel_s4 S) S)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found a10:=(a1 S):((rel_s4 S) S)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found a10:=(a1 S):((rel_s4 S) S)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found (a1 S) as proof of ((rel_s4 S) V1)
% 114.30/114.51  Found a10:=(a1 W):((rel_s4 W) W)
% 114.30/114.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 114.30/114.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 114.30/114.51  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 114.30/114.51  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 114.30/114.51  Found a10:=(a1 W):((rel_s4 W) W)
% 114.30/114.51  Found (a1 W) as proof of ((rel_s4 W) V0)
% 114.30/114.51  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 114.30/114.51  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 123.53/123.75  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found a10:=(a1 W):((rel_s4 W) W)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found a10:=(a1 W):((rel_s4 W) W)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found a10:=(a1 W):((rel_s4 W) W)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found a10:=(a1 W):((rel_s4 W) W)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found a10:=(a1 W):((rel_s4 W) W)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V)
% 123.53/123.75  Found (x1 (a1 S)) as proof of False
% 123.53/123.75  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 123.53/123.75  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 123.53/123.75  Found a10:=(a1 W):((rel_s4 W) W)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found (a1 W) as proof of ((rel_s4 W) V0)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V)
% 123.53/123.75  Found (x1 (a1 S)) as proof of False
% 123.53/123.75  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 123.53/123.75  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 123.53/123.75  Found a10:=(a1 S):((rel_s4 S) S)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 123.53/123.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.17  Found (x2 (a1 S)) as proof of False
% 127.91/128.17  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 127.91/128.17  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 127.91/128.17  Found a10:=(a1 S):((rel_s4 S) S)
% 127.91/128.17  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.17  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.17  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.17  Found (x2 (a1 S)) as proof of False
% 127.91/128.17  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 127.91/128.17  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 127.91/128.17  Found a10:=(a1 S):((rel_s4 S) S)
% 127.91/128.17  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.17  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.17  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.17  Found (x2 (a1 S)) as proof of False
% 127.91/128.17  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 127.91/128.17  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 127.91/128.17  Found a10:=(a1 S):((rel_s4 S) S)
% 127.91/128.17  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.17  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.17  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.17  Found (x2 (a1 S)) as proof of False
% 127.91/128.17  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 127.91/128.17  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 127.91/128.17  Found a10:=(a1 S):((rel_s4 S) S)
% 127.91/128.17  Found (a1 S) as proof of ((rel_s4 S) V1)
% 127.91/128.17  Found (a1 S) as proof of ((rel_s4 S) V1)
% 127.91/128.17  Found (a1 S) as proof of ((rel_s4 S) V1)
% 127.91/128.17  Found (x5 (a1 S)) as proof of False
% 127.91/128.17  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 127.91/128.17  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 127.91/128.17  Found a10:=(a1 W):((rel_s4 W) W)
% 127.91/128.17  Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.91/128.17  Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.91/128.17  Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.91/128.17  Found a10:=(a1 W):((rel_s4 W) W)
% 127.91/128.17  Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.91/128.17  Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.91/128.17  Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.91/128.17  Found a10:=(a1 S):((rel_s4 S) S)
% 127.91/128.18  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.18  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.18  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.18  Found (x2 (a1 S)) as proof of False
% 127.91/128.18  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 127.91/128.18  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 127.91/128.18  Found a10:=(a1 S):((rel_s4 S) S)
% 127.91/128.18  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.18  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.18  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.18  Found (x2 (a1 S)) as proof of False
% 127.91/128.18  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 127.91/128.18  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 127.91/128.18  Found a10:=(a1 S):((rel_s4 S) S)
% 127.91/128.18  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.18  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.18  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.18  Found (x2 (a1 S)) as proof of False
% 127.91/128.18  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 127.91/128.18  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 127.91/128.18  Found a10:=(a1 S):((rel_s4 S) S)
% 127.91/128.18  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.18  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.18  Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.91/128.18  Found (x2 (a1 S)) as proof of False
% 127.91/128.18  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 127.91/128.18  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 127.91/128.18  Found a10:=(a1 W):((rel_s4 W) W)
% 127.91/128.18  Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.91/128.18  Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.91/128.18  Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.91/128.18  Found (x3 (a1 W)) as proof of False
% 127.91/128.18  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 127.91/128.18  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 127.91/128.18  Found a10:=(a1 W):((rel_s4 W) W)
% 127.91/128.18  Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.91/128.18  Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.91/128.18  Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.91/128.18  Found (x3 (a1 W)) as proof of False
% 127.91/128.18  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 131.40/131.68  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 131.40/131.68  Found a10:=(a1 S):((rel_s4 S) S)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.40/131.68  Found (x5 (a1 S)) as proof of False
% 131.40/131.68  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 131.40/131.68  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 131.40/131.68  Found a10:=(a1 S):((rel_s4 S) S)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.40/131.68  Found (x5 (a1 S)) as proof of False
% 131.40/131.68  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 131.40/131.68  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 131.40/131.68  Found a10:=(a1 W):((rel_s4 W) W)
% 131.40/131.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.40/131.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.40/131.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.40/131.68  Found a10:=(a1 W):((rel_s4 W) W)
% 131.40/131.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.40/131.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.40/131.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.40/131.68  Found a10:=(a1 S):((rel_s4 S) S)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.40/131.68  Found (x5 (a1 S)) as proof of False
% 131.40/131.68  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 131.40/131.68  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 131.40/131.68  Found a10:=(a1 S):((rel_s4 S) S)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 131.40/131.68  Found (x1 (a1 S)) as proof of False
% 131.40/131.68  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 131.40/131.68  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 131.40/131.68  Found a10:=(a1 S):((rel_s4 S) S)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 131.40/131.68  Found (x2 (a1 S)) as proof of False
% 131.40/131.68  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 131.40/131.68  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 131.40/131.68  Found a10:=(a1 S):((rel_s4 S) S)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 131.40/131.68  Found (x1 (a1 S)) as proof of False
% 131.40/131.68  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 131.40/131.68  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 131.40/131.68  Found a10:=(a1 S):((rel_s4 S) S)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 131.40/131.68  Found (x1 (a1 S)) as proof of False
% 131.40/131.68  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 131.40/131.68  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 131.40/131.68  Found a10:=(a1 S):((rel_s4 S) S)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V)
% 131.40/131.68  Found (x1 (a1 S)) as proof of False
% 131.40/131.68  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 131.40/131.68  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 131.40/131.68  Found a10:=(a1 S):((rel_s4 S) S)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 131.40/131.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 131.40/131.68  Found (x2 (a1 S)) as proof of False
% 131.40/131.68  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 131.40/131.68  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 131.40/131.68  Found a10:=(a1 W):((rel_s4 W) W)
% 131.40/131.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.40/131.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.40/131.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.40/131.68  Found (x3 (a1 W)) as proof of False
% 131.40/131.68  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 131.40/131.68  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 136.43/136.65  Found a10:=(a1 W):((rel_s4 W) W)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 136.43/136.65  Found (x3 (a1 W)) as proof of False
% 136.43/136.65  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 136.43/136.65  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 136.43/136.65  Found a10:=(a1 S):((rel_s4 S) S)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 136.43/136.65  Found (x5 (a1 S)) as proof of False
% 136.43/136.65  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 136.43/136.65  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 136.43/136.65  Found a10:=(a1 S):((rel_s4 S) S)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 136.43/136.65  Found (x5 (a1 S)) as proof of False
% 136.43/136.65  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 136.43/136.65  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 136.43/136.65  Found a10:=(a1 S):((rel_s4 S) S)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 136.43/136.65  Found (x5 (a1 S)) as proof of False
% 136.43/136.65  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 136.43/136.65  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 136.43/136.65  Found a10:=(a1 S):((rel_s4 S) S)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.43/136.65  Found (x2 (a1 S)) as proof of False
% 136.43/136.65  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 136.43/136.65  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 136.43/136.65  Found a10:=(a1 S):((rel_s4 S) S)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.43/136.65  Found (a1 S) as proof of ((rel_s4 S) V0)
% 136.43/136.65  Found (x2 (a1 S)) as proof of False
% 136.43/136.65  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 136.43/136.65  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 136.43/136.65  Found a10:=(a1 W):((rel_s4 W) W)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (x1 (a1 W)) as proof of False
% 136.43/136.65  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 136.43/136.65  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 136.43/136.65  Found a10:=(a1 W):((rel_s4 W) W)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (x1 (a1 W)) as proof of False
% 136.43/136.65  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 136.43/136.65  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 136.43/136.65  Found a10:=(a1 W):((rel_s4 W) W)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (x1 (a1 W)) as proof of False
% 136.43/136.65  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 136.43/136.65  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 136.43/136.65  Found a10:=(a1 W):((rel_s4 W) W)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (x1 (a1 W)) as proof of False
% 136.43/136.65  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 136.43/136.65  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 136.43/136.65  Found a10:=(a1 W):((rel_s4 W) W)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 136.43/136.65  Found (x1 (a1 W)) as proof of False
% 136.43/136.65  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 136.43/136.65  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 136.43/136.65  Found a10:=(a1 W):((rel_s4 W) W)
% 136.43/136.65  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (x1 (a1 W)) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 143.01/143.24  Found a10:=(a1 W):((rel_s4 W) W)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (x1 (a1 W)) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 143.01/143.24  Found a10:=(a1 W):((rel_s4 W) W)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (x1 (a1 W)) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 143.01/143.24  Found a10:=(a1 W):((rel_s4 W) W)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (x1 (a1 W)) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 143.01/143.24  Found a10:=(a1 W):((rel_s4 W) W)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (x1 (a1 W)) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 143.01/143.24  Found a10:=(a1 W):((rel_s4 W) W)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (x1 (a1 W)) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 143.01/143.24  Found a10:=(a1 W):((rel_s4 W) W)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V)
% 143.01/143.24  Found (x1 (a1 W)) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 143.01/143.24  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 143.01/143.24  Found a10:=(a1 S):((rel_s4 S) S)
% 143.01/143.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 143.01/143.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 143.01/143.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 143.01/143.24  Found (x5 (a1 S)) as proof of False
% 143.01/143.24  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 143.01/143.24  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 143.01/143.24  Found a10:=(a1 W):((rel_s4 W) W)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 143.01/143.24  Found (a1 W) as proof of ((rel_s4 W) V0)
% 143.01/143.24  Found a10:=(a1 S):((rel_s4 S) S)
% 143.01/143.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 143.01/143.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 143.01/143.24  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 143.01/143.24  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 143.01/143.24  Found a10:=(a1 S):((rel_s4 S) S)
% 143.01/143.24  Found (a1 S) as proof of ((rel_s4 S) V0)
% 143.01/143.24  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 143.01/143.24  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 143.01/143.24  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 143.01/143.24  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 143.01/143.24  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 143.01/143.24  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (x2 (a1 W)) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (x2 (a1 W)) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (x2 (a1 W)) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (x2 (a1 W)) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (x2 (a1 W)) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (x2 (a1 W)) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (x2 (a1 W)) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (x2 (a1 W)) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 144.47/144.71  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 144.47/144.71  Found a10:=(a1 W):((rel_s4 W) W)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 144.47/144.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (x2 (a1 W)) as proof of False
% 148.17/148.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 148.17/148.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 148.17/148.48  Found a10:=(a1 W):((rel_s4 W) W)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (x2 (a1 W)) as proof of False
% 148.17/148.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 148.17/148.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 148.17/148.48  Found a10:=(a1 W):((rel_s4 W) W)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (x2 (a1 W)) as proof of False
% 148.17/148.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 148.17/148.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 148.17/148.48  Found a10:=(a1 W):((rel_s4 W) W)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (x2 (a1 W)) as proof of False
% 148.17/148.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 148.17/148.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 148.17/148.48  Found a10:=(a1 S):((rel_s4 S) S)
% 148.17/148.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 148.17/148.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 148.17/148.48  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 148.17/148.48  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 148.17/148.48  Found a10:=(a1 S):((rel_s4 S) S)
% 148.17/148.48  Found (a1 S) as proof of ((rel_s4 S) V0)
% 148.17/148.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 148.17/148.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 148.17/148.48  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 148.17/148.48  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 148.17/148.48  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 148.17/148.48  Found a10:=(a1 W):((rel_s4 W) W)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.17/148.48  Found a10:=(a1 W):((rel_s4 W) W)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found a10:=(a1 W):((rel_s4 W) W)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.17/148.48  Found a10:=(a1 W):((rel_s4 W) W)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.17/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.25/148.48  Found a10:=(a1 W):((rel_s4 W) W)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.25/148.48  Found a10:=(a1 W):((rel_s4 W) W)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.25/148.48  Found a10:=(a1 W):((rel_s4 W) W)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.25/148.48  Found a10:=(a1 W):((rel_s4 W) W)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 148.25/148.48  Found a10:=(a1 W):((rel_s4 W) W)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.25/148.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 148.25/148.48  Found (x2 (a1 W)) as proof of False
% 148.25/148.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 148.25/148.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 148.25/148.48  Found a10:=(a1 W):((rel_s4 W) W)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (x2 (a1 W)) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 150.41/150.70  Found a10:=(a1 W):((rel_s4 W) W)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (x2 (a1 W)) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 150.41/150.70  Found a10:=(a1 W):((rel_s4 W) W)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (x2 (a1 W)) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 150.41/150.70  Found a10:=(a1 W):((rel_s4 W) W)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (x2 (a1 W)) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 150.41/150.70  Found a10:=(a1 W):((rel_s4 W) W)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (x2 (a1 W)) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 150.41/150.70  Found a10:=(a1 W):((rel_s4 W) W)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (x2 (a1 W)) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 150.41/150.70  Found a10:=(a1 W):((rel_s4 W) W)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (x2 (a1 W)) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 150.41/150.70  Found a10:=(a1 W):((rel_s4 W) W)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (x2 (a1 W)) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 150.41/150.70  Found a10:=(a1 W):((rel_s4 W) W)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (x2 (a1 W)) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 150.41/150.70  Found a10:=(a1 W):((rel_s4 W) W)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (x2 (a1 W)) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 150.41/150.70  Found a10:=(a1 W):((rel_s4 W) W)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 150.41/150.70  Found (x2 (a1 W)) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 150.41/150.70  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 150.41/150.70  Found a10:=(a1 W):((rel_s4 W) W)
% 150.41/150.70  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (x5 (a1 W)) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 162.54/162.85  Found a10:=(a1 S):((rel_s4 S) S)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found a10:=(a1 W):((rel_s4 W) W)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (x5 (a1 W)) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 162.54/162.85  Found a10:=(a1 W):((rel_s4 W) W)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found a10:=(a1 W):((rel_s4 W) W)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found a10:=(a1 W):((rel_s4 W) W)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (x5 (a1 W)) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 162.54/162.85  Found a10:=(a1 W):((rel_s4 W) W)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (x5 (a1 W)) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 162.54/162.85  Found a10:=(a1 W):((rel_s4 W) W)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (x5 (a1 W)) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 162.54/162.85  Found a10:=(a1 W):((rel_s4 W) W)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (x5 (a1 W)) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 162.54/162.85  Found a10:=(a1 S):((rel_s4 S) S)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found a10:=(a1 S):((rel_s4 S) S)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found a10:=(a1 W):((rel_s4 W) W)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (x5 (a1 W)) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 162.54/162.85  Found a10:=(a1 W):((rel_s4 W) W)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.85  Found (x5 (a1 W)) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 162.54/162.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 162.54/162.85  Found a10:=(a1 S):((rel_s4 S) S)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found a10:=(a1 S):((rel_s4 S) S)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found a10:=(a1 S):((rel_s4 S) S)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.54/162.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found a10:=(a1 S):((rel_s4 S) S)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found a10:=(a1 S):((rel_s4 S) S)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found a10:=(a1 S):((rel_s4 S) S)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (x3 (a1 S)) as proof of False
% 167.61/167.91  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 167.61/167.91  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 167.61/167.91  Found a10:=(a1 S):((rel_s4 S) S)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (x3 (a1 S)) as proof of False
% 167.61/167.91  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 167.61/167.91  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 167.61/167.91  Found a10:=(a1 S):((rel_s4 S) S)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found a10:=(a1 S):((rel_s4 S) S)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found a10:=(a1 S):((rel_s4 S) S)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V)
% 167.61/167.91  Found (x1 (a1 S)) as proof of False
% 167.61/167.91  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 167.61/167.91  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 167.61/167.91  Found a10:=(a1 S):((rel_s4 S) S)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V)
% 167.61/167.91  Found (x1 (a1 S)) as proof of False
% 167.61/167.91  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 167.61/167.91  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 167.61/167.91  Found a10:=(a1 S):((rel_s4 S) S)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V)
% 167.61/167.91  Found (x1 (a1 S)) as proof of False
% 167.61/167.91  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 167.61/167.91  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 167.61/167.91  Found a10:=(a1 S):((rel_s4 S) S)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V)
% 167.61/167.91  Found (x1 (a1 S)) as proof of False
% 167.61/167.91  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 167.61/167.91  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 167.61/167.91  Found a10:=(a1 S):((rel_s4 S) S)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 167.61/167.91  Found (x3 (a1 S)) as proof of False
% 167.61/167.91  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 167.61/167.91  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 167.61/167.91  Found a10:=(a1 W):((rel_s4 W) W)
% 167.61/167.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 167.61/167.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 167.61/167.91  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 167.61/167.91  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 167.61/167.91  Found a10:=(a1 W):((rel_s4 W) W)
% 167.61/167.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 167.61/167.91  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 167.61/167.91  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 167.61/167.91  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 167.61/167.91  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 167.61/167.91  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 170.54/170.85  Found a10:=(a1 S):((rel_s4 S) S)
% 170.54/170.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 170.54/170.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 170.54/170.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 170.54/170.85  Found (x3 (a1 S)) as proof of False
% 170.54/170.85  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 170.54/170.85  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 170.54/170.85  Found False_rect00:=(False_rect0 (q V)):(q V)
% 170.54/170.85  Found (False_rect0 (q V)) as proof of (q V)
% 170.54/170.85  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 170.54/170.85  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 170.54/170.85  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 170.54/170.85  Found False_rect00:=(False_rect0 (q V)):(q V)
% 170.54/170.85  Found (False_rect0 (q V)) as proof of (q V)
% 170.54/170.85  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 170.54/170.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 170.54/170.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 170.54/170.85  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 170.54/170.85  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 170.54/170.85  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 170.54/170.85  Found a10:=(a1 W):((rel_s4 W) W)
% 170.54/170.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 170.54/170.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 170.54/170.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 170.54/170.85  Found a10:=(a1 W):((rel_s4 W) W)
% 170.54/170.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 170.54/170.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 170.54/170.85  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 170.54/170.85  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 170.54/170.85  Found a10:=(a1 W):((rel_s4 W) W)
% 170.54/170.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 170.54/170.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 170.54/170.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 170.54/170.85  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 170.54/170.85  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 170.54/170.85  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 170.54/170.85  Found False_rect00:=(False_rect0 (q V)):(q V)
% 170.54/170.85  Found (False_rect0 (q V)) as proof of (q V)
% 170.54/170.85  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 170.54/170.85  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 170.54/170.85  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 170.54/170.85  Found False_rect00:=(False_rect0 (q V)):(q V)
% 170.54/170.85  Found (False_rect0 (q V)) as proof of (q V)
% 170.54/170.85  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 170.54/170.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 170.54/170.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 170.54/170.85  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 175.75/176.03  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 175.75/176.03  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 175.75/176.03  Found a10:=(a1 W):((rel_s4 W) W)
% 175.75/176.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.75/176.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.75/176.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.75/176.03  Found a10:=(a1 S):((rel_s4 S) S)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (x1 (a1 S)) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 175.75/176.03  Found a10:=(a1 S):((rel_s4 S) S)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (x1 (a1 S)) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 175.75/176.03  Found a10:=(a1 S):((rel_s4 S) S)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (x1 (a1 S)) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 175.75/176.03  Found a10:=(a1 S):((rel_s4 S) S)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (x1 (a1 S)) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 175.75/176.03  Found a10:=(a1 S):((rel_s4 S) S)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (x1 (a1 S)) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 175.75/176.03  Found a10:=(a1 S):((rel_s4 S) S)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (x1 (a1 S)) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 175.75/176.03  Found a10:=(a1 S):((rel_s4 S) S)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (x1 (a1 S)) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 175.75/176.03  Found a10:=(a1 S):((rel_s4 S) S)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V)
% 175.75/176.03  Found (x1 (a1 S)) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 175.75/176.03  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 175.75/176.03  Found a10:=(a1 S):((rel_s4 S) S)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.75/176.03  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.75/176.03  Found a10:=(a1 W):((rel_s4 W) W)
% 175.75/176.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.75/176.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.75/176.03  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.75/176.03  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (x2 (a1 S)) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 177.49/177.75  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (x2 (a1 S)) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 177.49/177.75  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (x2 (a1 S)) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 177.49/177.75  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (x2 (a1 S)) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 177.49/177.75  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 177.49/177.75  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (x2 (a1 S)) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 177.49/177.75  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (x2 (a1 S)) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 177.49/177.75  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.75  Found (x2 (a1 S)) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 177.49/177.75  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 177.49/177.75  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.75  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.76  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.76  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.76  Found (x2 (a1 S)) as proof of False
% 177.49/177.76  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 177.49/177.76  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 177.49/177.76  Found a10:=(a1 W):((rel_s4 W) W)
% 177.49/177.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 177.49/177.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 177.49/177.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 177.49/177.76  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 177.49/177.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 177.49/177.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 177.49/177.76  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 177.49/177.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 177.49/177.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 177.49/177.76  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 177.49/177.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 177.49/177.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 177.49/177.76  Found a10:=(a1 S):((rel_s4 S) S)
% 177.49/177.76  Found (a1 S) as proof of ((rel_s4 S) V0)
% 177.49/177.76  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found a10:=(a1 S):((rel_s4 S) S)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (x2 (a1 S)) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 181.78/182.09  Found a10:=(a1 S):((rel_s4 S) S)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (x2 (a1 S)) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 181.78/182.09  Found a10:=(a1 S):((rel_s4 S) S)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (x2 (a1 S)) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 181.78/182.09  Found a10:=(a1 S):((rel_s4 S) S)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (x2 (a1 S)) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 181.78/182.09  Found a10:=(a1 S):((rel_s4 S) S)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V1)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V1)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V1)
% 181.78/182.09  Found a10:=(a1 S):((rel_s4 S) S)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found a10:=(a1 W):((rel_s4 W) W)
% 181.78/182.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 181.78/182.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 181.78/182.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 181.78/182.09  Found (x1 (a1 W)) as proof of False
% 181.78/182.09  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 181.78/182.09  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 181.78/182.09  Found a10:=(a1 S):((rel_s4 S) S)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (x2 (a1 S)) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 181.78/182.09  Found a10:=(a1 S):((rel_s4 S) S)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (x2 (a1 S)) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 181.78/182.09  Found a10:=(a1 S):((rel_s4 S) S)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (x2 (a1 S)) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 181.78/182.09  Found a10:=(a1 S):((rel_s4 S) S)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 181.78/182.09  Found (x2 (a1 S)) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 181.78/182.09  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 181.78/182.09  Found a10:=(a1 W):((rel_s4 W) W)
% 181.78/182.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 181.78/182.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 181.78/182.09  Found (a1 W) as proof of ((rel_s4 W) V)
% 181.78/182.09  Found (x1 (a1 W)) as proof of False
% 181.78/182.09  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 181.78/182.09  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 181.78/182.09  Found a10:=(a1 S):((rel_s4 S) S)
% 181.78/182.09  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found a10:=(a1 S):((rel_s4 S) S)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found a10:=(a1 S):((rel_s4 S) S)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found a10:=(a1 W):((rel_s4 W) W)
% 186.24/186.54  Found (a1 W) as proof of ((rel_s4 W) V)
% 186.24/186.54  Found (a1 W) as proof of ((rel_s4 W) V)
% 186.24/186.54  Found (a1 W) as proof of ((rel_s4 W) V)
% 186.24/186.54  Found (x1 (a1 W)) as proof of False
% 186.24/186.54  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 186.24/186.54  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 186.24/186.54  Found a10:=(a1 W):((rel_s4 W) W)
% 186.24/186.54  Found (a1 W) as proof of ((rel_s4 W) V)
% 186.24/186.54  Found (a1 W) as proof of ((rel_s4 W) V)
% 186.24/186.54  Found (a1 W) as proof of ((rel_s4 W) V)
% 186.24/186.54  Found (x1 (a1 W)) as proof of False
% 186.24/186.54  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 186.24/186.54  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 186.24/186.54  Found a10:=(a1 W):((rel_s4 W) W)
% 186.24/186.54  Found (a1 W) as proof of ((rel_s4 W) V)
% 186.24/186.54  Found (a1 W) as proof of ((rel_s4 W) V)
% 186.24/186.54  Found (a1 W) as proof of ((rel_s4 W) V)
% 186.24/186.54  Found (x1 (a1 W)) as proof of False
% 186.24/186.54  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 186.24/186.54  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 186.24/186.54  Found a10:=(a1 S):((rel_s4 S) S)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found a10:=(a1 W):((rel_s4 W) W)
% 186.24/186.54  Found (a1 W) as proof of ((rel_s4 W) V)
% 186.24/186.54  Found (a1 W) as proof of ((rel_s4 W) V)
% 186.24/186.54  Found (a1 W) as proof of ((rel_s4 W) V)
% 186.24/186.54  Found (x1 (a1 W)) as proof of False
% 186.24/186.54  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 186.24/186.54  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 186.24/186.54  Found a10:=(a1 S):((rel_s4 S) S)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found a10:=(a1 S):((rel_s4 S) S)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found a10:=(a1 S):((rel_s4 S) S)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (x2 (a1 S)) as proof of False
% 186.24/186.54  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 186.24/186.54  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 186.24/186.54  Found a10:=(a1 S):((rel_s4 S) S)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (x2 (a1 S)) as proof of False
% 186.24/186.54  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 186.24/186.54  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 186.24/186.54  Found a10:=(a1 S):((rel_s4 S) S)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (x2 (a1 S)) as proof of False
% 186.24/186.54  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 186.24/186.54  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 186.24/186.54  Found a10:=(a1 S):((rel_s4 S) S)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 186.24/186.54  Found (x2 (a1 S)) as proof of False
% 186.24/186.54  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 186.24/186.54  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 186.24/186.54  Found a10:=(a1 S):((rel_s4 S) S)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 186.24/186.54  Found (x5 (a1 S)) as proof of False
% 186.24/186.54  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 186.24/186.54  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 193.04/193.35  Found a10:=(a1 S):((rel_s4 S) S)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found a10:=(a1 S):((rel_s4 S) S)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found a10:=(a1 W):((rel_s4 W) W)
% 193.04/193.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.04/193.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.04/193.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.04/193.35  Found (x3 (a1 W)) as proof of False
% 193.04/193.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 193.04/193.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 193.04/193.35  Found a10:=(a1 S):((rel_s4 S) S)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.04/193.35  Found (x2 (a1 S)) as proof of False
% 193.04/193.35  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 193.04/193.35  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 193.04/193.35  Found a10:=(a1 S):((rel_s4 S) S)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.04/193.35  Found (x2 (a1 S)) as proof of False
% 193.04/193.35  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 193.04/193.35  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 193.04/193.35  Found a10:=(a1 W):((rel_s4 W) W)
% 193.04/193.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.04/193.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.04/193.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.04/193.35  Found (x3 (a1 W)) as proof of False
% 193.04/193.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 193.04/193.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 193.04/193.35  Found a10:=(a1 S):((rel_s4 S) S)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.04/193.35  Found (x2 (a1 S)) as proof of False
% 193.04/193.35  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 193.04/193.35  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 193.04/193.35  Found a10:=(a1 S):((rel_s4 S) S)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.04/193.35  Found (x2 (a1 S)) as proof of False
% 193.04/193.35  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 193.04/193.35  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 193.04/193.35  Found a10:=(a1 S):((rel_s4 S) S)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found (x5 (a1 S)) as proof of False
% 193.04/193.35  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 193.04/193.35  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 193.04/193.35  Found a10:=(a1 S):((rel_s4 S) S)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found (x5 (a1 S)) as proof of False
% 193.04/193.35  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 193.04/193.35  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 193.04/193.35  Found a10:=(a1 S):((rel_s4 S) S)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.04/193.35  Found (x5 (a1 S)) as proof of False
% 193.04/193.35  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 193.04/193.35  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 193.04/193.35  Found a10:=(a1 W):((rel_s4 W) W)
% 193.04/193.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.04/193.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.04/193.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.04/193.35  Found (x3 (a1 W)) as proof of False
% 193.04/193.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 193.04/193.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 193.04/193.35  Found a10:=(a1 W):((rel_s4 W) W)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.45/199.75  Found (x3 (a1 W)) as proof of False
% 199.45/199.75  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 199.45/199.75  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 199.45/199.75  Found a10:=(a1 W):((rel_s4 W) W)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.45/199.75  Found (x3 (a1 W)) as proof of False
% 199.45/199.75  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 199.45/199.75  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 199.45/199.75  Found a10:=(a1 W):((rel_s4 W) W)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.45/199.75  Found (x3 (a1 W)) as proof of False
% 199.45/199.75  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 199.45/199.75  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 199.45/199.75  Found a10:=(a1 S):((rel_s4 S) S)
% 199.45/199.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.45/199.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.45/199.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.45/199.75  Found (x5 (a1 S)) as proof of False
% 199.45/199.75  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 199.45/199.75  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 199.45/199.75  Found a10:=(a1 W):((rel_s4 W) W)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) T)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) T)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) T)
% 199.45/199.75  Found a10:=(a1 T):((rel_s4 T) T)
% 199.45/199.75  Found (a1 T) as proof of ((rel_s4 T) V0)
% 199.45/199.75  Found (a1 T) as proof of ((rel_s4 T) V0)
% 199.45/199.75  Found (a1 T) as proof of ((rel_s4 T) V0)
% 199.45/199.75  Found a10:=(a1 T):((rel_s4 T) T)
% 199.45/199.75  Found (a1 T) as proof of ((rel_s4 T) V0)
% 199.45/199.75  Found (a1 T) as proof of ((rel_s4 T) V0)
% 199.45/199.75  Found (a1 T) as proof of ((rel_s4 T) V0)
% 199.45/199.75  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 199.45/199.75  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 199.45/199.75  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 199.45/199.75  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 199.45/199.75  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 199.45/199.75  Found ((a200 W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 199.45/199.75  Found (((fun (T:fofType)=> ((a20 T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 199.45/199.75  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 199.45/199.75  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 199.45/199.75  Found a10:=(a1 S):((rel_s4 S) S)
% 199.45/199.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.45/199.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.45/199.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.45/199.75  Found (x5 (a1 S)) as proof of False
% 199.45/199.75  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 199.45/199.75  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 199.45/199.75  Found a10:=(a1 S):((rel_s4 S) S)
% 199.45/199.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.45/199.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.45/199.75  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.45/199.75  Found (x5 (a1 S)) as proof of False
% 199.45/199.75  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 199.45/199.75  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 199.45/199.75  Found a10:=(a1 W):((rel_s4 W) W)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.45/199.75  Found (x3 (a1 W)) as proof of False
% 199.45/199.75  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 199.45/199.75  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 199.45/199.75  Found a10:=(a1 W):((rel_s4 W) W)
% 199.45/199.75  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.45/202.76  Found (x3 (a1 W)) as proof of False
% 202.45/202.76  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 202.45/202.76  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 202.45/202.76  Found a10:=(a1 W):((rel_s4 W) W)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) T)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) T)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) T)
% 202.45/202.76  Found a10:=(a1 T):((rel_s4 T) T)
% 202.45/202.76  Found (a1 T) as proof of ((rel_s4 T) V0)
% 202.45/202.76  Found (a1 T) as proof of ((rel_s4 T) V0)
% 202.45/202.76  Found (a1 T) as proof of ((rel_s4 T) V0)
% 202.45/202.76  Found a10:=(a1 T):((rel_s4 T) T)
% 202.45/202.76  Found (a1 T) as proof of ((rel_s4 T) V0)
% 202.45/202.76  Found (a1 T) as proof of ((rel_s4 T) V0)
% 202.45/202.76  Found (a1 T) as proof of ((rel_s4 T) V0)
% 202.45/202.76  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 202.45/202.76  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 202.45/202.76  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 202.45/202.76  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 202.45/202.76  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found ((a200 W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (((fun (T:fofType)=> ((a20 T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found a10:=(a1 S):((rel_s4 S) S)
% 202.45/202.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.45/202.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.45/202.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.45/202.76  Found (x5 (a1 S)) as proof of False
% 202.45/202.76  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 202.45/202.76  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 202.45/202.76  Found a10:=(a1 W):((rel_s4 W) W)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (x3 (a1 W)) as proof of False
% 202.45/202.76  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 202.45/202.76  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 202.45/202.76  Found a10:=(a1 W):((rel_s4 W) W)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (x3 (a1 W)) as proof of False
% 202.45/202.76  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 202.45/202.76  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 202.45/202.76  Found a10:=(a1 W):((rel_s4 W) W)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (x3 (a1 W)) as proof of False
% 202.45/202.76  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 202.45/202.76  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 202.45/202.76  Found a10:=(a1 W):((rel_s4 W) W)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (x3 (a1 W)) as proof of False
% 202.45/202.76  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 202.45/202.76  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 202.45/202.76  Found a10:=(a1 W):((rel_s4 W) W)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found a10:=(a1 W):((rel_s4 W) W)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.45/202.76  Found (x3 (a1 W)) as proof of False
% 202.45/202.76  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 202.45/202.76  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (x3 (a1 W)) as proof of False
% 206.15/206.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 206.15/206.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (x2 (a1 W)) as proof of False
% 206.15/206.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 206.15/206.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (x2 (a1 W)) as proof of False
% 206.15/206.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 206.15/206.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (x2 (a1 W)) as proof of False
% 206.15/206.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 206.15/206.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (x2 (a1 W)) as proof of False
% 206.15/206.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 206.15/206.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (x2 (a1 W)) as proof of False
% 206.15/206.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 206.15/206.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (x2 (a1 W)) as proof of False
% 206.15/206.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 206.15/206.48  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (x3 (a1 W)) as proof of False
% 206.15/206.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 206.15/206.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 206.15/206.48  Found a10:=(a1 W):((rel_s4 W) W)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (a1 W) as proof of ((rel_s4 W) V0)
% 206.15/206.48  Found (x3 (a1 W)) as proof of False
% 206.15/206.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 206.15/206.48  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (x3 (a1 W)) as proof of False
% 208.75/209.06  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 208.75/209.06  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (x3 (a1 W)) as proof of False
% 208.75/209.06  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 208.75/209.06  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (x3 (a1 W)) as proof of False
% 208.75/209.06  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 208.75/209.06  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V0)
% 208.75/209.06  Found (x3 (a1 W)) as proof of False
% 208.75/209.06  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 208.75/209.06  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found a10:=(a1 S):((rel_s4 S) S)
% 208.75/209.06  Found (a1 S) as proof of ((rel_s4 S) V0)
% 208.75/209.06  Found (a1 S) as proof of ((rel_s4 S) V0)
% 208.75/209.06  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 208.75/209.06  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 208.75/209.06  Found a10:=(a1 S):((rel_s4 S) S)
% 208.75/209.06  Found (a1 S) as proof of ((rel_s4 S) V0)
% 208.75/209.06  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 208.75/209.06  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 208.75/209.06  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 208.75/209.06  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 208.75/209.06  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found a10:=(a1 W):((rel_s4 W) W)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 208.75/209.06  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.44/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (x2 (a1 W)) as proof of False
% 212.44/212.73  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 212.44/212.73  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 212.44/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (x2 (a1 W)) as proof of False
% 212.44/212.73  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 212.44/212.73  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 212.44/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (x2 (a1 W)) as proof of False
% 212.44/212.73  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 212.44/212.73  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 212.44/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (x2 (a1 W)) as proof of False
% 212.44/212.73  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 212.44/212.73  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 212.44/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (x2 (a1 W)) as proof of False
% 212.44/212.73  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 212.44/212.73  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 212.44/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.44/212.73  Found (x2 (a1 W)) as proof of False
% 212.44/212.73  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of False
% 212.44/212.73  Found (fun (x2:(((rel_s4 W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 212.44/212.73  Found False_rect00:=(False_rect0 (q V)):(q V)
% 212.44/212.73  Found (False_rect0 (q V)) as proof of (q V)
% 212.44/212.73  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 212.44/212.73  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 212.44/212.73  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 212.44/212.73  Found False_rect00:=(False_rect0 (q V)):(q V)
% 212.44/212.73  Found (False_rect0 (q V)) as proof of (q V)
% 212.44/212.73  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 212.44/212.73  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 212.44/212.73  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 S) V1)->False)->(q V))
% 212.44/212.73  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 212.44/212.73  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 212.44/212.73  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 212.44/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.44/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.44/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.44/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found a10:=(a1 W):((rel_s4 W) W)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found a10:=(a1 S):((rel_s4 S) S)
% 216.00/216.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.00/216.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.00/216.29  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 216.00/216.29  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 216.00/216.29  Found a10:=(a1 S):((rel_s4 S) S)
% 216.00/216.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.00/216.29  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 216.00/216.29  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 216.00/216.29  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 216.00/216.29  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 216.00/216.29  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 216.00/216.29  Found a10:=(a1 W):((rel_s4 W) W)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.00/216.29  Found a10:=(a1 W):((rel_s4 W) W)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found a10:=(a1 W):((rel_s4 W) W)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found a10:=(a1 W):((rel_s4 W) W)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.00/216.29  Found a10:=(a1 S):((rel_s4 S) S)
% 216.00/216.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.00/216.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.00/216.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.00/216.29  Found False_rect00:=(False_rect0 (q V)):(q V)
% 216.00/216.29  Found (False_rect0 (q V)) as proof of (q V)
% 216.00/216.29  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 216.00/216.29  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 216.00/216.29  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 216.00/216.29  Found False_rect00:=(False_rect0 (q V)):(q V)
% 216.00/216.29  Found (False_rect0 (q V)) as proof of (q V)
% 216.00/216.29  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 216.00/216.29  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 216.00/216.29  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 S) V1)->False)->(q V))
% 216.00/216.29  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 216.00/216.29  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 216.00/216.29  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 216.00/216.29  Found a10:=(a1 W):((rel_s4 W) W)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found a10:=(a1 W):((rel_s4 W) W)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 216.00/216.29  Found a10:=(a1 S):((rel_s4 S) S)
% 216.00/216.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.00/216.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.00/216.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 231.09/231.41  Found a10:=(a1 W):((rel_s4 W) W)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 231.09/231.41  Found a10:=(a1 W):((rel_s4 W) W)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 231.09/231.41  Found a10:=(a1 W):((rel_s4 W) W)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found a10:=(a1 W):((rel_s4 W) W)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found a10:=(a1 W):((rel_s4 W) W)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found a10:=(a1 W):((rel_s4 W) W)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found a10:=(a1 S):((rel_s4 S) S)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 231.09/231.41  Found a10:=(a1 W):((rel_s4 W) W)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 231.09/231.41  Found a10:=(a1 W):((rel_s4 W) W)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 231.09/231.41  Found a10:=(a1 S):((rel_s4 S) S)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 231.09/231.41  Found a10:=(a1 W):((rel_s4 W) W)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found a10:=(a1 W):((rel_s4 W) W)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 231.09/231.41  Found a10:=(a1 S):((rel_s4 S) S)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (x1 (a1 S)) as proof of False
% 231.09/231.41  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 231.09/231.41  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 231.09/231.41  Found a10:=(a1 S):((rel_s4 S) S)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (x1 (a1 S)) as proof of False
% 231.09/231.41  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 231.09/231.41  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 231.09/231.41  Found a10:=(a1 S):((rel_s4 S) S)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (x1 (a1 S)) as proof of False
% 231.09/231.41  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 231.09/231.41  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 231.09/231.41  Found a10:=(a1 S):((rel_s4 S) S)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (x1 (a1 S)) as proof of False
% 231.09/231.41  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 231.09/231.41  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 231.09/231.41  Found a10:=(a1 S):((rel_s4 S) S)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (x1 (a1 S)) as proof of False
% 231.09/231.41  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 231.09/231.41  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 231.09/231.41  Found a10:=(a1 S):((rel_s4 S) S)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (a1 S) as proof of ((rel_s4 S) V)
% 231.09/231.41  Found (x1 (a1 S)) as proof of False
% 231.09/231.41  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 231.09/231.41  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 231.09/231.41  Found a10:=(a1 S):((rel_s4 S) S)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 235.99/236.35  Found (x3 (a1 S)) as proof of False
% 235.99/236.35  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of False
% 235.99/236.35  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 235.99/236.35  Found a10:=(a1 S):((rel_s4 S) S)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 235.99/236.35  Found (x3 (a1 S)) as proof of False
% 235.99/236.35  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of False
% 235.99/236.35  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 235.99/236.35  Found a10:=(a1 W):((rel_s4 W) W)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 235.99/236.35  Found a10:=(a1 S):((rel_s4 S) S)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) T)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) T)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) T)
% 235.99/236.35  Found a10:=(a1 T):((rel_s4 T) T)
% 235.99/236.35  Found (a1 T) as proof of ((rel_s4 T) V0)
% 235.99/236.35  Found (a1 T) as proof of ((rel_s4 T) V0)
% 235.99/236.35  Found (a1 T) as proof of ((rel_s4 T) V0)
% 235.99/236.35  Found a10:=(a1 T):((rel_s4 T) T)
% 235.99/236.35  Found (a1 T) as proof of ((rel_s4 T) V0)
% 235.99/236.35  Found (a1 T) as proof of ((rel_s4 T) V0)
% 235.99/236.35  Found (a1 T) as proof of ((rel_s4 T) V0)
% 235.99/236.35  Found ((conj00 (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 235.99/236.35  Found (((conj0 ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 235.99/236.35  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 235.99/236.35  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 235.99/236.35  Found (a2000 ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T))) as proof of ((rel_s4 S) V0)
% 235.99/236.35  Found ((a200 S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 235.99/236.35  Found (((fun (T:fofType)=> ((a20 T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 235.99/236.35  Found (((fun (T:fofType)=> (((a2 S) T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 235.99/236.35  Found (((fun (T:fofType)=> (((a2 S) T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 235.99/236.35  Found a10:=(a1 W):((rel_s4 W) W)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 235.99/236.35  Found a10:=(a1 S):((rel_s4 S) S)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 235.99/236.35  Found (x3 (a1 S)) as proof of False
% 235.99/236.35  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of False
% 235.99/236.35  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 235.99/236.35  Found a10:=(a1 S):((rel_s4 S) S)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 235.99/236.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 235.99/236.35  Found (x3 (a1 S)) as proof of False
% 235.99/236.35  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of False
% 235.99/236.35  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 235.99/236.35  Found a10:=(a1 W):((rel_s4 W) W)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 235.99/236.35  Found a10:=(a1 W):((rel_s4 W) W)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 235.99/236.35  Found a10:=(a1 W):((rel_s4 W) W)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 235.99/236.35  Found a10:=(a1 W):((rel_s4 W) W)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 235.99/236.35  Found a10:=(a1 W):((rel_s4 W) W)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 235.99/236.35  Found a10:=(a1 W):((rel_s4 W) W)
% 235.99/236.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found a10:=(a1 W):((rel_s4 W) W)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found a10:=(a1 W):((rel_s4 W) W)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found a10:=(a1 S):((rel_s4 S) S)
% 242.51/242.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 242.51/242.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 242.51/242.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 242.51/242.83  Found (x3 (a1 S)) as proof of False
% 242.51/242.83  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of False
% 242.51/242.83  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 242.51/242.83  Found a10:=(a1 S):((rel_s4 S) S)
% 242.51/242.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 242.51/242.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 242.51/242.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 242.51/242.83  Found (x3 (a1 S)) as proof of False
% 242.51/242.83  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of False
% 242.51/242.83  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 242.51/242.83  Found a10:=(a1 W):((rel_s4 W) W)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found a10:=(a1 W):((rel_s4 W) W)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found a10:=(a1 S):((rel_s4 S) S)
% 242.51/242.83  Found (a1 S) as proof of ((rel_s4 S) T)
% 242.51/242.83  Found (a1 S) as proof of ((rel_s4 S) T)
% 242.51/242.83  Found (a1 S) as proof of ((rel_s4 S) T)
% 242.51/242.83  Found a10:=(a1 T):((rel_s4 T) T)
% 242.51/242.83  Found (a1 T) as proof of ((rel_s4 T) V0)
% 242.51/242.83  Found (a1 T) as proof of ((rel_s4 T) V0)
% 242.51/242.83  Found (a1 T) as proof of ((rel_s4 T) V0)
% 242.51/242.83  Found a10:=(a1 T):((rel_s4 T) T)
% 242.51/242.83  Found (a1 T) as proof of ((rel_s4 T) V0)
% 242.51/242.83  Found (a1 T) as proof of ((rel_s4 T) V0)
% 242.51/242.83  Found (a1 T) as proof of ((rel_s4 T) V0)
% 242.51/242.83  Found ((conj00 (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 242.51/242.83  Found (((conj0 ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 242.51/242.83  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 242.51/242.83  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 242.51/242.83  Found (a2000 ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T))) as proof of ((rel_s4 S) V0)
% 242.51/242.83  Found ((a200 S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 242.51/242.83  Found (((fun (T:fofType)=> ((a20 T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 242.51/242.83  Found (((fun (T:fofType)=> (((a2 S) T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 242.51/242.83  Found (((fun (T:fofType)=> (((a2 S) T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 242.51/242.83  Found a10:=(a1 W):((rel_s4 W) W)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found a10:=(a1 S):((rel_s4 S) S)
% 242.51/242.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 242.51/242.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 242.51/242.83  Found (a1 S) as proof of ((rel_s4 S) V1)
% 242.51/242.83  Found (x3 (a1 S)) as proof of False
% 242.51/242.83  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of False
% 242.51/242.83  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 242.51/242.83  Found a10:=(a1 W):((rel_s4 W) W)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found a10:=(a1 W):((rel_s4 W) W)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found a10:=(a1 W):((rel_s4 W) W)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 242.51/242.83  Found a10:=(a1 W):((rel_s4 W) W)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found (a1 W) as proof of ((rel_s4 W) V0)
% 242.51/242.83  Found a10:=(a1 W):((rel_s4 W) W)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.48/249.77  Found a10:=(a1 W):((rel_s4 W) W)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found a10:=(a1 W):((rel_s4 W) W)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found a10:=(a1 W):((rel_s4 W) W)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.48/249.77  Found a10:=(a1 S):((rel_s4 S) S)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.48/249.77  Found (x3 (a1 S)) as proof of False
% 249.48/249.77  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of False
% 249.48/249.77  Found (fun (x3:(((rel_s4 S) V1)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 249.48/249.77  Found a10:=(a1 W):((rel_s4 W) W)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found a10:=(a1 S):((rel_s4 S) S)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (x3 (a1 S)) as proof of False
% 249.48/249.77  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 249.48/249.77  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 249.48/249.77  Found a10:=(a1 S):((rel_s4 S) S)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (x3 (a1 S)) as proof of False
% 249.48/249.77  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 249.48/249.77  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 249.48/249.77  Found a10:=(a1 W):((rel_s4 W) W)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.48/249.77  Found a10:=(a1 W):((rel_s4 W) W)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found a10:=(a1 S):((rel_s4 S) S)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (x3 (a1 S)) as proof of False
% 249.48/249.77  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 249.48/249.77  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 249.48/249.77  Found a10:=(a1 S):((rel_s4 S) S)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (x3 (a1 S)) as proof of False
% 249.48/249.77  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 249.48/249.77  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 249.48/249.77  Found a10:=(a1 W):((rel_s4 W) W)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.48/249.77  Found a10:=(a1 S):((rel_s4 S) S)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found a10:=(a1 S):((rel_s4 S) S)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found a10:=(a1 S):((rel_s4 S) S)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (x2 (a1 S)) as proof of False
% 249.48/249.77  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 249.48/249.77  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 249.48/249.77  Found a10:=(a1 S):((rel_s4 S) S)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.48/249.77  Found (x2 (a1 S)) as proof of False
% 249.48/249.77  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 249.48/249.77  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 251.91/252.31  Found a10:=(a1 S):((rel_s4 S) S)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.91/252.31  Found a10:=(a1 S):((rel_s4 S) S)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.91/252.31  Found a10:=(a1 W):((rel_s4 W) W)
% 251.91/252.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.91/252.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.91/252.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.91/252.31  Found a10:=(a1 S):((rel_s4 S) S)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (x3 (a1 S)) as proof of False
% 251.91/252.31  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 251.91/252.31  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 251.91/252.31  Found a10:=(a1 S):((rel_s4 S) S)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (x3 (a1 S)) as proof of False
% 251.91/252.31  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 251.91/252.31  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 251.91/252.31  Found a10:=(a1 W):((rel_s4 W) W)
% 251.91/252.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.91/252.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.91/252.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.91/252.31  Found a10:=(a1 S):((rel_s4 S) S)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (x2 (a1 S)) as proof of False
% 251.91/252.31  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 251.91/252.31  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 251.91/252.31  Found a10:=(a1 S):((rel_s4 S) S)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (x2 (a1 S)) as proof of False
% 251.91/252.31  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 251.91/252.31  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 251.91/252.31  Found a10:=(a1 W):((rel_s4 W) W)
% 251.91/252.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.91/252.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.91/252.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.91/252.31  Found a10:=(a1 S):((rel_s4 S) S)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (x3 (a1 S)) as proof of False
% 251.91/252.31  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 251.91/252.31  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 251.91/252.31  Found a10:=(a1 S):((rel_s4 S) S)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 251.91/252.31  Found (x3 (a1 S)) as proof of False
% 251.91/252.31  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 251.91/252.31  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 251.91/252.31  Found False_rect00:=(False_rect0 (q V)):(q V)
% 251.91/252.31  Found (False_rect0 (q V)) as proof of (q V)
% 251.91/252.31  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 251.91/252.31  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 251.91/252.31  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 251.91/252.31  Found False_rect00:=(False_rect0 (q V)):(q V)
% 251.91/252.31  Found (False_rect0 (q V)) as proof of (q V)
% 251.91/252.31  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 251.91/252.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 251.91/252.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 251.91/252.31  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 251.91/252.31  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 256.93/257.26  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (x3 (a1 S)) as proof of False
% 256.93/257.26  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 256.93/257.26  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (x2 (a1 S)) as proof of False
% 256.93/257.26  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 256.93/257.26  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (x2 (a1 S)) as proof of False
% 256.93/257.26  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 256.93/257.26  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (x3 (a1 S)) as proof of False
% 256.93/257.26  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 256.93/257.26  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (x2 (a1 S)) as proof of False
% 256.93/257.26  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 256.93/257.26  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.93/257.26  Found (x2 (a1 S)) as proof of False
% 256.93/257.26  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 256.93/257.26  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found a10:=(a1 S):((rel_s4 S) S)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.93/257.26  Found False_rect00:=(False_rect0 (q V)):(q V)
% 256.93/257.26  Found (False_rect0 (q V)) as proof of (q V)
% 256.93/257.26  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 256.93/257.26  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 262.10/262.41  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 262.10/262.41  Found False_rect00:=(False_rect0 (q V)):(q V)
% 262.10/262.41  Found (False_rect0 (q V)) as proof of (q V)
% 262.10/262.41  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 262.10/262.41  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 262.10/262.41  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 262.10/262.41  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 262.10/262.41  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 262.10/262.41  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 262.10/262.41  Found a10:=(a1 S):((rel_s4 S) S)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found a10:=(a1 S):((rel_s4 S) S)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found a10:=(a1 S):((rel_s4 S) S)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found a10:=(a1 S):((rel_s4 S) S)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (x2 (a1 S)) as proof of False
% 262.10/262.41  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 262.10/262.41  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 262.10/262.41  Found a10:=(a1 S):((rel_s4 S) S)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (x3 (a1 S)) as proof of False
% 262.10/262.41  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 262.10/262.41  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 262.10/262.41  Found a10:=(a1 S):((rel_s4 S) S)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (x2 (a1 S)) as proof of False
% 262.10/262.41  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 262.10/262.41  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 262.10/262.41  Found a10:=(a1 S):((rel_s4 S) S)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found a10:=(a1 S):((rel_s4 S) S)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found a10:=(a1 S):((rel_s4 S) S)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.10/262.41  Found (x3 (a1 S)) as proof of False
% 262.10/262.41  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 262.10/262.41  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 262.10/262.41  Found a10:=(a1 S):((rel_s4 S) S)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found a10:=(a1 S):((rel_s4 S) S)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found a10:=(a1 S):((rel_s4 S) S)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found a10:=(a1 S):((rel_s4 S) S)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.10/262.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (x2 (a1 S)) as proof of False
% 272.88/273.26  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 272.88/273.26  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (x2 (a1 S)) as proof of False
% 272.88/273.26  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of False
% 272.88/273.26  Found (fun (x2:(((rel_s4 S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found a10:=(a1 S):((rel_s4 S) S)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 272.88/273.26  Found a10:=(a1 T):((rel_s4 T) T)
% 272.88/273.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 272.88/273.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 272.88/273.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 272.88/273.26  Found a10:=(a1 W):((rel_s4 W) W)
% 272.88/273.26  Found (a1 W) as proof of ((rel_s4 W) T)
% 272.88/273.26  Found (a1 W) as proof of ((rel_s4 W) T)
% 272.88/273.26  Found (a1 W) as proof of ((rel_s4 W) T)
% 272.88/273.26  Found a10:=(a1 W):((rel_s4 W) W)
% 272.88/273.26  Found (a1 W) as proof of ((rel_s4 W) T)
% 272.88/273.26  Found (a1 W) as proof of ((rel_s4 W) T)
% 272.88/273.26  Found (a1 W) as proof of ((rel_s4 W) T)
% 272.88/273.26  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 272.88/273.26  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 272.88/273.26  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 272.88/273.26  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 272.88/273.26  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 272.88/273.26  Found ((a200 V0) ((((conj ((rel_s4 W) V0)) ((rel_s4 V0) V0)) (a1 W)) (a1 V0))) as proof of ((rel_s4 W) V0)
% 272.88/273.26  Found (((fun (T:fofType)=> ((a20 T) V0)) V0) ((((conj ((rel_s4 W) V0)) ((rel_s4 V0) V0)) (a1 W)) (a1 V0))) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found (((fun (T:fofType)=> (((a2 W) T) V0)) V0) ((((conj ((rel_s4 W) V0)) ((rel_s4 V0) V0)) (a1 W)) (a1 V0))) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found (((fun (T:fofType)=> (((a2 W) T) V0)) V0) ((((conj ((rel_s4 W) V0)) ((rel_s4 V0) V0)) (a1 W)) (a1 V0))) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found a10:=(a1 S):((rel_s4 S) S)
% 283.88/284.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.88/284.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.88/284.23  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.88/284.23  Found a10:=(a1 W):((rel_s4 W) W)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found a10:=(a1 W):((rel_s4 W) W)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.88/284.23  Found (x3 (a1 W)) as proof of False
% 283.88/284.23  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 283.88/284.23  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 283.88/284.23  Found a10:=(a1 W):((rel_s4 W) W)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.88/284.23  Found (x3 (a1 W)) as proof of False
% 283.88/284.23  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 283.88/284.23  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 283.88/284.23  Found a10:=(a1 W):((rel_s4 W) W)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) T)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) T)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) T)
% 283.88/284.23  Found a10:=(a1 T):((rel_s4 T) T)
% 283.88/284.23  Found (a1 T) as proof of ((rel_s4 T) V0)
% 283.88/284.23  Found (a1 T) as proof of ((rel_s4 T) V0)
% 283.88/284.23  Found (a1 T) as proof of ((rel_s4 T) V0)
% 283.88/284.23  Found a10:=(a1 T):((rel_s4 T) T)
% 283.88/284.23  Found (a1 T) as proof of ((rel_s4 T) V0)
% 283.88/284.23  Found (a1 T) as proof of ((rel_s4 T) V0)
% 283.88/284.23  Found (a1 T) as proof of ((rel_s4 T) V0)
% 283.88/284.23  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 283.88/284.23  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 283.88/284.23  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 283.88/284.23  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 283.88/284.23  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found ((a200 W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found (((fun (T:fofType)=> ((a20 T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found a10:=(a1 W):((rel_s4 W) W)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.88/284.23  Found (x3 (a1 W)) as proof of False
% 283.88/284.23  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 283.88/284.23  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 283.88/284.23  Found a10:=(a1 W):((rel_s4 W) W)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.88/284.23  Found (x3 (a1 W)) as proof of False
% 283.88/284.23  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 283.88/284.23  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 283.88/284.23  Found a10:=(a1 W):((rel_s4 W) W)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found a10:=(a1 W):((rel_s4 W) W)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found a10:=(a1 W):((rel_s4 W) W)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.88/284.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found a10:=(a1 W):((rel_s4 W) W)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found a10:=(a1 W):((rel_s4 W) W)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found a10:=(a1 W):((rel_s4 W) W)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.00/288.35  Found (x3 (a1 W)) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 288.00/288.35  Found a10:=(a1 W):((rel_s4 W) W)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.00/288.35  Found (x3 (a1 W)) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 288.00/288.35  Found a10:=(a1 W):((rel_s4 W) W)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.00/288.35  Found (x3 (a1 W)) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 288.00/288.35  Found a10:=(a1 W):((rel_s4 W) W)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.00/288.35  Found (x3 (a1 W)) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 288.00/288.35  Found a10:=(a1 W):((rel_s4 W) W)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (x3 (a1 W)) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 288.00/288.35  Found a10:=(a1 W):((rel_s4 W) W)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (x3 (a1 W)) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 288.00/288.35  Found a10:=(a1 W):((rel_s4 W) W)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (x3 (a1 W)) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 288.00/288.35  Found a10:=(a1 W):((rel_s4 W) W)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (x3 (a1 W)) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 288.00/288.35  Found a10:=(a1 W):((rel_s4 W) W)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (x3 (a1 W)) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 288.00/288.35  Found a10:=(a1 W):((rel_s4 W) W)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (x3 (a1 W)) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 288.00/288.35  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 288.00/288.35  Found a10:=(a1 W):((rel_s4 W) W)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 288.00/288.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (x3 (a1 W)) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 292.97/293.32  Found a10:=(a1 W):((rel_s4 W) W)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (x3 (a1 W)) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 292.97/293.32  Found a10:=(a1 W):((rel_s4 W) W)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (x3 (a1 W)) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 292.97/293.32  Found a10:=(a1 W):((rel_s4 W) W)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (x3 (a1 W)) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 292.97/293.32  Found a10:=(a1 W):((rel_s4 W) W)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (x3 (a1 W)) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 292.97/293.32  Found a10:=(a1 W):((rel_s4 W) W)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (x3 (a1 W)) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 292.97/293.32  Found a10:=(a1 W):((rel_s4 W) W)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V1)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V1)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V1)
% 292.97/293.32  Found (x3 (a1 W)) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 292.97/293.32  Found a10:=(a1 W):((rel_s4 W) W)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V1)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V1)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V1)
% 292.97/293.32  Found (x3 (a1 W)) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 292.97/293.32  Found a10:=(a1 W):((rel_s4 W) W)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V1)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V1)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V1)
% 292.97/293.32  Found (x3 (a1 W)) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 292.97/293.32  Found a10:=(a1 W):((rel_s4 W) W)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V1)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V1)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V1)
% 292.97/293.32  Found (x3 (a1 W)) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 292.97/293.32  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 292.97/293.32  Found a10:=(a1 W):((rel_s4 W) W)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found a10:=(a1 W):((rel_s4 W) W)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found a10:=(a1 W):((rel_s4 W) W)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 292.97/293.32  Found a10:=(a1 W):((rel_s4 W) W)
% 292.97/293.32  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found a10:=(a1 W):((rel_s4 W) W)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V1)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V1)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V1)
% 295.53/295.87  Found (x3 (a1 W)) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 295.53/295.87  Found a10:=(a1 W):((rel_s4 W) W)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V1)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V1)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V1)
% 295.53/295.87  Found (x3 (a1 W)) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 295.53/295.87  Found a10:=(a1 W):((rel_s4 W) W)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (x3 (a1 W)) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 295.53/295.87  Found a10:=(a1 W):((rel_s4 W) W)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (x3 (a1 W)) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 295.53/295.87  Found a10:=(a1 W):((rel_s4 W) W)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (x3 (a1 W)) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 295.53/295.87  Found a10:=(a1 W):((rel_s4 W) W)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (x3 (a1 W)) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 295.53/295.87  Found a10:=(a1 W):((rel_s4 W) W)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (x3 (a1 W)) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 295.53/295.87  Found a10:=(a1 W):((rel_s4 W) W)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (x3 (a1 W)) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 295.53/295.87  Found a10:=(a1 W):((rel_s4 W) W)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (x3 (a1 W)) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 295.53/295.87  Found a10:=(a1 W):((rel_s4 W) W)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (x3 (a1 W)) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 295.53/295.87  Found a10:=(a1 W):((rel_s4 W) W)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 295.53/295.87  Found (x3 (a1 W)) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 295.53/295.87  Found (fun (x3:(((rel_s4 W) V0
%------------------------------------------------------------------------------