%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO434^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.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 00:51:26 EDT 2022

% Result   : Timeout 286.77s 287.07s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYO434^1 : TPTP v7.5.0. Released v4.0.0.
% 0.10/0.12  % Command    : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Computer   : n011.cluster.edu
% 0.12/0.33  % Model      : x86_64 x86_64
% 0.12/0.33  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % RAMPerCPU  : 8042.1875MB
% 0.12/0.33  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % DateTime   : Sat Mar 12 16:31:40 EST 2022
% 0.12/0.33  % CPUTime    : 
% 0.12/0.34  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34  Python 2.7.5
% 0.45/0.62  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.45/0.62  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.45/0.62  FOF formula (<kernel.Constant object at 0x1836758>, <kernel.Type object at 0x1836290>) of role type named mu_type
% 0.45/0.62  Using role type
% 0.45/0.62  Declaring mu:Type
% 0.45/0.62  FOF formula (<kernel.Constant object at 0x1836560>, <kernel.DependentProduct object at 0x1836758>) of role type named meq_ind_type
% 0.45/0.62  Using role type
% 0.45/0.62  Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.45/0.62  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
% 0.45/0.62  A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.45/0.62  Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.45/0.62  FOF formula (<kernel.Constant object at 0x1836758>, <kernel.DependentProduct object at 0x18363b0>) of role type named meq_prop_type
% 0.45/0.62  Using role type
% 0.45/0.62  Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.62  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
% 0.45/0.62  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))))
% 0.45/0.62  Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.45/0.62  FOF formula (<kernel.Constant object at 0x1836440>, <kernel.DependentProduct object at 0x1836560>) of role type named mnot_type
% 0.45/0.62  Using role type
% 0.45/0.62  Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.45/0.62  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.45/0.62  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.45/0.62  Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.45/0.62  FOF formula (<kernel.Constant object at 0x1836560>, <kernel.DependentProduct object at 0x1836fc8>) of role type named mor_type
% 0.45/0.62  Using role type
% 0.45/0.62  Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.62  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
% 0.45/0.62  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))))
% 0.45/0.62  Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.45/0.62  FOF formula (<kernel.Constant object at 0x1836fc8>, <kernel.DependentProduct object at 0x1836a70>) of role type named mand_type
% 0.45/0.62  Using role type
% 0.45/0.62  Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.62  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
% 0.45/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.45/0.62  Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.45/0.62  FOF formula (<kernel.Constant object at 0x1836a70>, <kernel.DependentProduct object at 0x1836518>) of role type named mimplies_type
% 0.45/0.62  Using role type
% 0.45/0.62  Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.62  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
% 0.45/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.45/0.62  Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x1836518>, <kernel.DependentProduct object at 0x1836d40>) 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 0x1836d40>, <kernel.DependentProduct object at 0x1836560>) 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 0x1836560>, <kernel.DependentProduct object at 0x1836fc8>) 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 0x1836758>, <kernel.DependentProduct object at 0x1836d40>) 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 0x1836d40>, <kernel.DependentProduct object at 0x1836290>) 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 0x1836290>, <kernel.DependentProduct object at 0x1836a70>) 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 0x1836a70>, <kernel.DependentProduct object at 0x1836098>) 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 0x1836098>, <kernel.DependentProduct object at 0x1836878>) 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 0x1836a70>, <kernel.DependentProduct object at 0x1836b90>) 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 0x1836050>, <kernel.DependentProduct object at 0x1836b90>) 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 0x1836098>, <kernel.DependentProduct object at 0x1836050>) 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 0x1836560>, <kernel.DependentProduct object at 0x1816ab8>) 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 0x1836560>, <kernel.DependentProduct object at 0x1816c68>) of role type named msymmetric_type
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65  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
% 0.48/0.65  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)))))
% 0.48/0.65  Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1836050>, <kernel.DependentProduct object at 0x1816c68>) of role type named mserial_type
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65  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
% 0.48/0.65  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))))))
% 0.48/0.65  Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x18166c8>, <kernel.DependentProduct object at 0x18384d0>) of role type named mtransitive_type
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65  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
% 0.48/0.65  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)))))
% 0.48/0.65  Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1816dd0>, <kernel.DependentProduct object at 0x1838a28>) of role type named meuclidean_type
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65  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
% 0.48/0.65  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)))))
% 0.48/0.65  Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1816dd0>, <kernel.DependentProduct object at 0x18384d0>) of role type named mpartially_functional_type
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65  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
% 0.48/0.65  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)))))
% 0.48/0.65  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))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1816dd0>, <kernel.DependentProduct object at 0x1838ef0>) of role type named mfunctional_type
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65  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
% 0.48/0.66  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)))))))))
% 0.48/0.66  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))))))))
% 0.48/0.66  FOF formula (<kernel.Constant object at 0x1838ef0>, <kernel.DependentProduct object at 0x1838cf8>) of role type named mweakly_dense_type
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.48/0.66  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
% 0.48/0.66  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)))))))))
% 0.48/0.66  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))))))))
% 0.48/0.66  FOF formula (<kernel.Constant object at 0x1838cf8>, <kernel.DependentProduct object at 0x1838c68>) of role type named mweakly_connected_type
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.48/0.66  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
% 0.48/0.66  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))))))
% 0.48/0.66  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)))))
% 0.48/0.66  FOF formula (<kernel.Constant object at 0x18384d0>, <kernel.DependentProduct object at 0x1838c68>) of role type named mweakly_directed_type
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.48/0.66  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
% 0.48/0.66  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))))))))
% 0.48/0.66  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)))))))
% 0.48/0.66  FOF formula (<kernel.Constant object at 0x1838e18>, <kernel.DependentProduct object at 0x19ac7e8>) of role type named mvalid_type
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring mvalid:((fofType->Prop)->Prop)
% 0.48/0.66  FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.48/0.66  A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.48/0.66  Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.48/0.66  FOF formula (<kernel.Constant object at 0x1838e18>, <kernel.DependentProduct object at 0x19ac638>) of role type named minvalid_type
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring minvalid:((fofType->Prop)->Prop)
% 0.48/0.66  FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.48/0.67  A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.48/0.67  Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.48/0.67  FOF formula (<kernel.Constant object at 0x19ac290>, <kernel.DependentProduct object at 0x19ac488>) of role type named msatisfiable_type
% 0.48/0.67  Using role type
% 0.48/0.67  Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.48/0.67  FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.48/0.67  A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.48/0.67  Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.48/0.67  FOF formula (<kernel.Constant object at 0x19ac638>, <kernel.DependentProduct object at 0x19ac680>) of role type named mcountersatisfiable_type
% 0.48/0.67  Using role type
% 0.48/0.67  Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.48/0.67  FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.48/0.67  A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.48/0.67  Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.48/0.67  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^5.ax, trying next directory
% 0.48/0.67  FOF formula (<kernel.Constant object at 0x1836b48>, <kernel.DependentProduct object at 0x1836bd8>) of role type named rel_s4_type
% 0.48/0.67  Using role type
% 0.48/0.67  Declaring rel_s4:(fofType->(fofType->Prop))
% 0.48/0.67  FOF formula (<kernel.Constant object at 0x1836488>, <kernel.DependentProduct object at 0x18367e8>) of role type named mbox_s4_type
% 0.48/0.67  Using role type
% 0.48/0.67  Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.48/0.67  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
% 0.48/0.67  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)))))
% 0.48/0.67  Defined: mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))
% 0.48/0.67  FOF formula (<kernel.Constant object at 0x18367e8>, <kernel.DependentProduct object at 0x1836248>) of role type named mdia_s4_type
% 0.48/0.67  Using role type
% 0.48/0.67  Declaring mdia_s4:((fofType->Prop)->(fofType->Prop))
% 0.48/0.67  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))) of role definition named mdia_s4
% 0.48/0.67  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))))
% 0.48/0.67  Defined: mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))
% 0.48/0.67  FOF formula (mreflexive rel_s4) of role axiom named a1
% 0.48/0.67  A new axiom: (mreflexive rel_s4)
% 0.48/0.67  FOF formula (mtransitive rel_s4) of role axiom named a2
% 0.48/0.67  A new axiom: (mtransitive rel_s4)
% 0.48/0.67  FOF formula (<kernel.Constant object at 0x2b28a3c3cb90>, <kernel.DependentProduct object at 0x2b28a3c3c638>) of role type named p_type
% 0.48/0.67  Using role type
% 0.48/0.67  Declaring p:(fofType->Prop)
% 0.48/0.67  FOF formula (mvalid ((mimplies (mbox_s4 p)) (mbox_s4 (mdia_s4 (mbox_s4 p))))) of role conjecture named prove
% 0.48/0.67  Conjecture to prove = (mvalid ((mimplies (mbox_s4 p)) (mbox_s4 (mdia_s4 (mbox_s4 p))))):Prop
% 0.48/0.67  Parameter mu_DUMMY:mu.
% 0.48/0.67  Parameter fofType_DUMMY:fofType.
% 0.48/0.67  We need to prove ['(mvalid ((mimplies (mbox_s4 p)) (mbox_s4 (mdia_s4 (mbox_s4 p)))))']
% 0.48/0.67  Parameter mu:Type.
% 0.48/0.67  Parameter fofType:Type.
% 0.48/0.67  Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.48/0.67  Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67  Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.48/0.67  Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67  Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67  Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67  Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67  Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67  Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67  Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.67  Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.67  Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.67  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)).
% 0.48/0.67  Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.48/0.67  Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.48/0.67  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))).
% 0.48/0.67  Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67  Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.67  Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.67  Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.67  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).
% 0.48/0.67  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).
% 0.48/0.67  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).
% 0.48/0.67  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).
% 0.48/0.67  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).
% 0.48/0.67  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).
% 0.48/0.67  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).
% 3.04/3.20  Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 3.04/3.20  Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 3.04/3.20  Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 3.04/3.20  Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 3.04/3.20  Parameter rel_s4:(fofType->(fofType->Prop)).
% 3.04/3.20  Definition mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 3.04/3.20  Definition mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 3.04/3.20  Axiom a1:(mreflexive rel_s4).
% 3.04/3.20  Axiom a2:(mtransitive rel_s4).
% 3.04/3.20  Parameter p:(fofType->Prop).
% 3.04/3.20  Trying to prove (mvalid ((mimplies (mbox_s4 p)) (mbox_s4 (mdia_s4 (mbox_s4 p)))))
% 3.04/3.20  Found a10:=(a1 W):((rel_s4 W) W)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V)
% 3.04/3.20  Found (x1 (a1 W)) as proof of False
% 3.04/3.20  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 3.04/3.20  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 3.04/3.20  Found a10:=(a1 S):((rel_s4 S) S)
% 3.04/3.20  Found (a1 S) as proof of ((rel_s4 S) V)
% 3.04/3.20  Found (a1 S) as proof of ((rel_s4 S) V)
% 3.04/3.20  Found (a1 S) as proof of ((rel_s4 S) V)
% 3.04/3.20  Found (x1 (a1 S)) as proof of False
% 3.04/3.20  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 3.04/3.20  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 3.04/3.20  Found a10:=(a1 W):((rel_s4 W) W)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V)
% 3.04/3.20  Found (x1 (a1 W)) as proof of False
% 3.04/3.20  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 3.04/3.20  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 3.04/3.20  Found a10:=(a1 S):((rel_s4 S) S)
% 3.04/3.20  Found (a1 S) as proof of ((rel_s4 S) V)
% 3.04/3.20  Found (a1 S) as proof of ((rel_s4 S) V)
% 3.04/3.20  Found (a1 S) as proof of ((rel_s4 S) V)
% 3.04/3.20  Found (x1 (a1 S)) as proof of False
% 3.04/3.20  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 3.04/3.20  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 3.04/3.20  Found a10:=(a1 W):((rel_s4 W) W)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 3.04/3.20  Found (x3 (a1 W)) as proof of False
% 3.04/3.20  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 3.04/3.20  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 3.04/3.20  Found a10:=(a1 W):((rel_s4 W) W)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 3.04/3.20  Found (x3 (a1 W)) as proof of False
% 3.04/3.20  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 3.04/3.20  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 3.04/3.20  Found a10:=(a1 W):((rel_s4 W) W)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V)
% 3.04/3.20  Found (x1 (a1 W)) as proof of False
% 3.04/3.20  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 3.04/3.20  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 3.04/3.20  Found a10:=(a1 W):((rel_s4 W) W)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V)
% 3.04/3.20  Found (a1 W) as proof of ((rel_s4 W) V)
% 3.04/3.20  Found (x1 (a1 W)) as proof of False
% 3.04/3.20  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 3.04/3.20  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 3.04/3.20  Found a10:=(a1 S):((rel_s4 S) S)
% 3.04/3.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 3.04/3.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 4.13/4.33  Found (x3 (a1 S)) as proof of False
% 4.13/4.33  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 4.13/4.33  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 4.13/4.33  Found a10:=(a1 S):((rel_s4 S) S)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 4.13/4.33  Found (x3 (a1 S)) as proof of False
% 4.13/4.33  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 4.13/4.33  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 4.13/4.33  Found a10:=(a1 W):((rel_s4 W) W)
% 4.13/4.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 4.13/4.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 4.13/4.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 4.13/4.33  Found (x3 (a1 W)) as proof of False
% 4.13/4.33  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 4.13/4.33  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 4.13/4.33  Found a10:=(a1 W):((rel_s4 W) W)
% 4.13/4.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 4.13/4.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 4.13/4.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 4.13/4.33  Found (x3 (a1 W)) as proof of False
% 4.13/4.33  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 4.13/4.33  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 4.13/4.33  Found a10:=(a1 S):((rel_s4 S) S)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.13/4.33  Found (x1 (a1 S)) as proof of False
% 4.13/4.33  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 4.13/4.33  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 4.13/4.33  Found a10:=(a1 W):((rel_s4 W) W)
% 4.13/4.33  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.13/4.33  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.13/4.33  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.13/4.33  Found (x1 (a1 W)) as proof of False
% 4.13/4.33  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.13/4.33  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 4.13/4.33  Found a10:=(a1 W):((rel_s4 W) W)
% 4.13/4.33  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.13/4.33  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.13/4.33  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.13/4.33  Found (x1 (a1 W)) as proof of False
% 4.13/4.33  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.13/4.33  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 4.13/4.33  Found a10:=(a1 S):((rel_s4 S) S)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.13/4.33  Found (x1 (a1 S)) as proof of False
% 4.13/4.33  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 4.13/4.33  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 4.13/4.33  Found a10:=(a1 S):((rel_s4 S) S)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 4.13/4.33  Found (x3 (a1 S)) as proof of False
% 4.13/4.33  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 4.13/4.33  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 4.13/4.33  Found a10:=(a1 V):((rel_s4 V) V)
% 4.13/4.33  Found (a1 V) as proof of ((rel_s4 V) V0)
% 4.13/4.33  Found (a1 V) as proof of ((rel_s4 V) V0)
% 4.13/4.33  Found (a1 V) as proof of ((rel_s4 V) V0)
% 4.13/4.33  Found (x1 (a1 V)) as proof of False
% 4.13/4.33  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 4.13/4.33  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 4.13/4.33  Found a10:=(a1 S):((rel_s4 S) S)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 4.13/4.33  Found (x3 (a1 S)) as proof of False
% 4.13/4.33  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 4.13/4.33  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 4.13/4.33  Found a10:=(a1 S):((rel_s4 S) S)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V)
% 4.13/4.33  Found (a1 S) as proof of ((rel_s4 S) V)
% 6.25/6.49  Found (x1 (a1 S)) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 6.25/6.49  Found a10:=(a1 S):((rel_s4 S) S)
% 6.25/6.49  Found (a1 S) as proof of ((rel_s4 S) V)
% 6.25/6.49  Found (a1 S) as proof of ((rel_s4 S) V)
% 6.25/6.49  Found (a1 S) as proof of ((rel_s4 S) V)
% 6.25/6.49  Found (x1 (a1 S)) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 6.25/6.49  Found a10:=(a1 V):((rel_s4 V) V)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (x1 (a1 V)) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 6.25/6.49  Found a10:=(a1 V):((rel_s4 V) V)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (x1 (a1 V)) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 6.25/6.49  Found a10:=(a1 V):((rel_s4 V) V)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (x1 (a1 V)) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 6.25/6.49  Found a10:=(a1 V):((rel_s4 V) V)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (x1 (a1 V)) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 6.25/6.49  Found a10:=(a1 V):((rel_s4 V) V)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (x1 (a1 V)) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 6.25/6.49  Found a10:=(a1 V):((rel_s4 V) V)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.25/6.49  Found (x1 (a1 V)) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 6.25/6.49  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 6.25/6.49  Found a10:=(a1 W):((rel_s4 W) W)
% 6.25/6.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.25/6.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.25/6.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.25/6.49  Found (x3 (a1 W)) as proof of False
% 6.25/6.49  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 6.25/6.49  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 6.25/6.49  Found a10:=(a1 W):((rel_s4 W) W)
% 6.25/6.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.25/6.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.25/6.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.25/6.49  Found (x3 (a1 W)) as proof of False
% 6.25/6.49  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 6.25/6.49  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 6.25/6.49  Found a10:=(a1 W):((rel_s4 W) W)
% 6.25/6.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.25/6.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.25/6.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.25/6.49  Found (x3 (a1 W)) as proof of False
% 6.25/6.49  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 6.25/6.49  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 6.25/6.49  Found a10:=(a1 W):((rel_s4 W) W)
% 6.25/6.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.25/6.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.25/6.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.25/6.49  Found (x3 (a1 W)) as proof of False
% 6.25/6.49  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 9.06/9.29  Found a10:=(a1 V):((rel_s4 V) V)
% 9.06/9.29  Found (a1 V) as proof of ((rel_s4 V) V0)
% 9.06/9.29  Found (a1 V) as proof of ((rel_s4 V) V0)
% 9.06/9.29  Found (a1 V) as proof of ((rel_s4 V) V0)
% 9.06/9.29  Found (x1 (a1 V)) as proof of False
% 9.06/9.29  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 9.06/9.29  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 9.06/9.29  Found a10:=(a1 W):((rel_s4 W) W)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.06/9.29  Found (x1 (a1 W)) as proof of False
% 9.06/9.29  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 9.06/9.29  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 9.06/9.29  Found a10:=(a1 S):((rel_s4 S) S)
% 9.06/9.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.06/9.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.06/9.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.06/9.29  Found (x3 (a1 S)) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 9.06/9.29  Found a10:=(a1 S):((rel_s4 S) S)
% 9.06/9.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.06/9.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.06/9.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.06/9.29  Found (x3 (a1 S)) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 9.06/9.29  Found a10:=(a1 S):((rel_s4 S) S)
% 9.06/9.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.06/9.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.06/9.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.06/9.29  Found (x3 (a1 S)) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 9.06/9.29  Found a10:=(a1 S):((rel_s4 S) S)
% 9.06/9.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.06/9.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.06/9.29  Found (a1 S) as proof of ((rel_s4 S) V0)
% 9.06/9.29  Found (x3 (a1 S)) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 9.06/9.29  Found a10:=(a1 W):((rel_s4 W) W)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.06/9.29  Found (x3 (a1 W)) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 9.06/9.29  Found a10:=(a1 W):((rel_s4 W) W)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.06/9.29  Found (x3 (a1 W)) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 9.06/9.29  Found a10:=(a1 W):((rel_s4 W) W)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.06/9.29  Found (x3 (a1 W)) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 9.06/9.29  Found a10:=(a1 W):((rel_s4 W) W)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V0)
% 9.06/9.29  Found (x3 (a1 W)) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 9.06/9.29  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 9.06/9.29  Found a10:=(a1 W):((rel_s4 W) W)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.06/9.29  Found (a1 W) as proof of ((rel_s4 W) V)
% 9.06/9.29  Found (x1 (a1 W)) as proof of False
% 9.06/9.29  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 9.06/9.29  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 11.28/11.45  Found a10:=(a1 S):((rel_s4 S) S)
% 11.28/11.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 11.28/11.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 11.28/11.45  Found (a1 S) as proof of ((rel_s4 S) V)
% 11.28/11.45  Found (x1 (a1 S)) as proof of False
% 11.28/11.45  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 11.28/11.45  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 11.28/11.45  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 11.28/11.45  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 11.28/11.45  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 11.28/11.45  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 11.28/11.45  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 11.28/11.45  Found a10:=(a1 V):((rel_s4 V) V)
% 11.28/11.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 11.28/11.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 11.28/11.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 11.28/11.45  Found (x3 (a1 V)) as proof of False
% 11.28/11.45  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 11.28/11.45  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 11.28/11.45  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 11.28/11.45  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 11.28/11.45  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 11.28/11.45  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 11.28/11.45  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 11.28/11.45  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 11.28/11.45  Found a10:=(a1 W):((rel_s4 W) W)
% 11.28/11.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 11.28/11.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 11.28/11.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 11.28/11.45  Found (x5 (a1 W)) as proof of False
% 11.28/11.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 11.28/11.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 11.28/11.45  Found a10:=(a1 V):((rel_s4 V) V)
% 11.28/11.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 11.28/11.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 11.28/11.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 11.28/11.45  Found (x3 (a1 V)) as proof of False
% 11.28/11.45  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 11.28/11.45  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 11.28/11.45  Found a10:=(a1 W):((rel_s4 W) W)
% 11.28/11.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 11.28/11.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 11.28/11.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 11.28/11.45  Found (x5 (a1 W)) as proof of False
% 11.28/11.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 11.28/11.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 11.28/11.45  Found a10:=(a1 W):((rel_s4 W) W)
% 11.28/11.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 11.28/11.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 11.28/11.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 11.28/11.45  Found (x5 (a1 W)) as proof of False
% 11.28/11.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 11.28/11.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 11.28/11.45  Found a10:=(a1 W):((rel_s4 W) W)
% 11.28/11.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 11.28/11.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 11.28/11.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 11.28/11.45  Found (x5 (a1 W)) as proof of False
% 11.28/11.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 11.28/11.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 11.28/11.45  Found a10:=(a1 V):((rel_s4 V) V)
% 11.28/11.45  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.38/15.57  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.38/15.57  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.38/15.57  Found (x1 (a1 V)) as proof of False
% 15.38/15.57  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 15.38/15.57  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 15.38/15.57  Found a10:=(a1 S):((rel_s4 S) S)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.38/15.57  Found (x3 (a1 S)) as proof of False
% 15.38/15.57  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 15.38/15.57  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 15.38/15.57  Found a10:=(a1 V):((rel_s4 V) V)
% 15.38/15.57  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.38/15.57  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.38/15.57  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.38/15.57  Found (x1 (a1 V)) as proof of False
% 15.38/15.57  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 15.38/15.57  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 15.38/15.57  Found a10:=(a1 S):((rel_s4 S) S)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.38/15.57  Found (x3 (a1 S)) as proof of False
% 15.38/15.57  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 15.38/15.57  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 15.38/15.57  Found a10:=(a1 S):((rel_s4 S) S)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.38/15.57  Found (x3 (a1 S)) as proof of False
% 15.38/15.57  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 15.38/15.57  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 15.38/15.57  Found a10:=(a1 S):((rel_s4 S) S)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.38/15.57  Found (x3 (a1 S)) as proof of False
% 15.38/15.57  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 15.38/15.57  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 15.38/15.57  Found a10:=(a1 S):((rel_s4 S) S)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 15.38/15.57  Found (a1 S) as proof of ((rel_s4 S) V)
% 15.38/15.57  Found (x1 (a1 S)) as proof of False
% 15.38/15.57  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 15.38/15.57  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 15.38/15.57  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 15.38/15.57  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 15.38/15.57  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 15.38/15.57  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 15.38/15.57  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 15.38/15.57  Found a10:=(a1 V):((rel_s4 V) V)
% 15.38/15.57  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.38/15.57  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.38/15.57  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.38/15.57  Found (x3 (a1 V)) as proof of False
% 15.38/15.57  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 15.38/15.57  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 15.38/15.57  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 15.38/15.57  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 15.38/15.57  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 15.38/15.57  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 15.38/15.57  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 17.98/18.19  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 17.98/18.19  Found a10:=(a1 S):((rel_s4 S) S)
% 17.98/18.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 17.98/18.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 17.98/18.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 17.98/18.19  Found (x5 (a1 S)) as proof of False
% 17.98/18.19  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 17.98/18.19  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 17.98/18.19  Found a10:=(a1 V):((rel_s4 V) V)
% 17.98/18.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 17.98/18.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 17.98/18.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 17.98/18.19  Found (x3 (a1 V)) as proof of False
% 17.98/18.19  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 17.98/18.19  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 17.98/18.19  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 17.98/18.19  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 17.98/18.19  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 17.98/18.19  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 17.98/18.19  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 17.98/18.19  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 17.98/18.19  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 17.98/18.19  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 17.98/18.19  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 17.98/18.19  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 17.98/18.19  Found a10:=(a1 S):((rel_s4 S) S)
% 17.98/18.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 17.98/18.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 17.98/18.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 17.98/18.19  Found (x5 (a1 S)) as proof of False
% 17.98/18.19  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 17.98/18.19  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 17.98/18.19  Found a10:=(a1 S):((rel_s4 S) S)
% 17.98/18.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 17.98/18.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 17.98/18.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 17.98/18.19  Found (x5 (a1 S)) as proof of False
% 17.98/18.19  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 17.98/18.19  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 17.98/18.19  Found a10:=(a1 S):((rel_s4 S) S)
% 17.98/18.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 17.98/18.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 17.98/18.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 17.98/18.19  Found (x5 (a1 S)) as proof of False
% 17.98/18.20  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 17.98/18.20  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 17.98/18.20  Found a10:=(a1 V):((rel_s4 V) V)
% 17.98/18.20  Found (a1 V) as proof of ((rel_s4 V) V0)
% 17.98/18.20  Found (a1 V) as proof of ((rel_s4 V) V0)
% 17.98/18.20  Found (a1 V) as proof of ((rel_s4 V) V0)
% 17.98/18.20  Found (x1 (a1 V)) as proof of False
% 17.98/18.20  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 17.98/18.20  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 17.98/18.20  Found a10:=(a1 V):((rel_s4 V) V)
% 17.98/18.20  Found (a1 V) as proof of ((rel_s4 V) V0)
% 17.98/18.20  Found (a1 V) as proof of ((rel_s4 V) V0)
% 17.98/18.20  Found (a1 V) as proof of ((rel_s4 V) V0)
% 17.98/18.20  Found (x1 (a1 V)) as proof of False
% 17.98/18.20  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 17.98/18.20  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 17.98/18.20  Found a10:=(a1 V):((rel_s4 V) V)
% 17.98/18.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 17.98/18.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.64/19.86  Found (x3 (a1 V)) as proof of False
% 19.64/19.86  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 19.64/19.86  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 19.64/19.86  Found a10:=(a1 V):((rel_s4 V) V)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.64/19.86  Found (x1 (a1 V)) as proof of False
% 19.64/19.86  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 19.64/19.86  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 19.64/19.86  Found a10:=(a1 V):((rel_s4 V) V)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.64/19.86  Found (x3 (a1 V)) as proof of False
% 19.64/19.86  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 19.64/19.86  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 19.64/19.86  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 19.64/19.86  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 19.64/19.86  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 19.64/19.86  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 19.64/19.86  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 19.64/19.86  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 19.64/19.86  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 19.64/19.86  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 19.64/19.86  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 19.64/19.86  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 19.64/19.86  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 19.64/19.86  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 19.64/19.86  Found a10:=(a1 V):((rel_s4 V) V)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.64/19.86  Found (x1 (a1 V)) as proof of False
% 19.64/19.86  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 19.64/19.86  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 19.64/19.86  Found a10:=(a1 V):((rel_s4 V) V)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.64/19.86  Found (x1 (a1 V)) as proof of False
% 19.64/19.86  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 19.64/19.86  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 19.64/19.86  Found a10:=(a1 V):((rel_s4 V) V)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.64/19.86  Found (x1 (a1 V)) as proof of False
% 19.64/19.86  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 19.64/19.86  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 19.64/19.86  Found a10:=(a1 V):((rel_s4 V) V)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.64/19.86  Found (x3 (a1 V)) as proof of False
% 19.64/19.86  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 19.64/19.86  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 19.64/19.86  Found a10:=(a1 V):((rel_s4 V) V)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.64/19.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.14/27.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.14/27.31  Found (x3 (a1 V)) as proof of False
% 27.14/27.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 27.14/27.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 27.14/27.31  Found a10:=(a1 W):((rel_s4 W) W)
% 27.14/27.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.14/27.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.14/27.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.14/27.31  Found (x5 (a1 W)) as proof of False
% 27.14/27.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 27.14/27.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 27.14/27.31  Found a10:=(a1 W):((rel_s4 W) W)
% 27.14/27.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.14/27.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.14/27.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.14/27.31  Found (x5 (a1 W)) as proof of False
% 27.14/27.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 27.14/27.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 27.14/27.31  Found a10:=(a1 W):((rel_s4 W) W)
% 27.14/27.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.14/27.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.14/27.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.14/27.31  Found (x5 (a1 W)) as proof of False
% 27.14/27.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 27.14/27.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 27.14/27.31  Found a10:=(a1 W):((rel_s4 W) W)
% 27.14/27.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.14/27.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.14/27.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 27.14/27.31  Found (x5 (a1 W)) as proof of False
% 27.14/27.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 27.14/27.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 27.14/27.31  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 27.14/27.31  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 27.14/27.31  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 27.14/27.31  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 27.14/27.31  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 27.14/27.31  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 27.14/27.31  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 27.14/27.31  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 27.14/27.31  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 27.14/27.31  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 27.14/27.31  Found a10:=(a1 V):((rel_s4 V) V)
% 27.14/27.31  Found (a1 V) as proof of ((rel_s4 V) V0)
% 27.14/27.31  Found (a1 V) as proof of ((rel_s4 V) V0)
% 27.14/27.31  Found (a1 V) as proof of ((rel_s4 V) V0)
% 27.14/27.31  Found (x1 (a1 V)) as proof of False
% 27.14/27.31  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 27.14/27.31  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 27.14/27.31  Found a10:=(a1 V):((rel_s4 V) V)
% 27.14/27.31  Found (a1 V) as proof of ((rel_s4 V) V0)
% 27.14/27.31  Found (a1 V) as proof of ((rel_s4 V) V0)
% 27.14/27.31  Found (a1 V) as proof of ((rel_s4 V) V0)
% 27.14/27.31  Found (x1 (a1 V)) as proof of False
% 27.14/27.31  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 27.14/27.31  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 27.14/27.31  Found a10:=(a1 V):((rel_s4 V) V)
% 27.14/27.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.14/27.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.14/27.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.14/27.31  Found (x3 (a1 V)) as proof of False
% 27.14/27.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 27.14/27.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 27.14/27.31  Found a10:=(a1 V):((rel_s4 V) V)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 29.67/29.87  Found (x3 (a1 V)) as proof of False
% 29.67/29.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 29.67/29.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 29.67/29.87  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 29.67/29.87  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 29.67/29.87  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 29.67/29.87  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 29.67/29.87  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 29.67/29.87  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 29.67/29.87  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 29.67/29.87  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 29.67/29.87  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 29.67/29.87  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 29.67/29.87  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 29.67/29.87  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 29.67/29.87  Found a10:=(a1 V):((rel_s4 V) V)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.67/29.87  Found (x1 (a1 V)) as proof of False
% 29.67/29.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 29.67/29.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 29.67/29.87  Found a10:=(a1 V):((rel_s4 V) V)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.67/29.87  Found (x1 (a1 V)) as proof of False
% 29.67/29.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 29.67/29.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 29.67/29.87  Found a10:=(a1 V):((rel_s4 V) V)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.67/29.87  Found (x1 (a1 V)) as proof of False
% 29.67/29.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 29.67/29.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 29.67/29.87  Found a10:=(a1 V):((rel_s4 V) V)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 29.67/29.87  Found (x3 (a1 V)) as proof of False
% 29.67/29.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 29.67/29.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 29.67/29.87  Found a10:=(a1 V):((rel_s4 V) V)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 29.67/29.87  Found (x3 (a1 V)) as proof of False
% 29.67/29.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 29.67/29.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 29.67/29.87  Found a10:=(a1 V):((rel_s4 V) V)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.67/29.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.67/29.87  Found (x1 (a1 V)) as proof of False
% 29.67/29.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 29.67/29.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 29.67/29.87  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 32.22/32.39  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 32.22/32.39  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 32.22/32.39  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 32.22/32.39  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 32.22/32.39  Found a10:=(a1 S):((rel_s4 S) S)
% 32.22/32.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 32.22/32.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 32.22/32.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 32.22/32.39  Found (x5 (a1 S)) as proof of False
% 32.22/32.39  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 32.22/32.39  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 32.22/32.39  Found a10:=(a1 S):((rel_s4 S) S)
% 32.22/32.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 32.22/32.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 32.22/32.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 32.22/32.39  Found (x5 (a1 S)) as proof of False
% 32.22/32.39  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 32.22/32.39  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 32.22/32.39  Found a10:=(a1 S):((rel_s4 S) S)
% 32.22/32.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 32.22/32.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 32.22/32.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 32.22/32.39  Found (x5 (a1 S)) as proof of False
% 32.22/32.39  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 32.22/32.39  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 32.22/32.39  Found a10:=(a1 V):((rel_s4 V) V)
% 32.22/32.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 32.22/32.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 32.22/32.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 32.22/32.39  Found (x3 (a1 V)) as proof of False
% 32.22/32.39  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 32.22/32.39  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 32.22/32.39  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 32.22/32.39  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 32.22/32.39  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 32.22/32.39  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 32.22/32.39  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 32.22/32.39  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 32.22/32.39  Found a10:=(a1 S):((rel_s4 S) S)
% 32.22/32.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 32.22/32.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 32.22/32.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 32.22/32.39  Found (x5 (a1 S)) as proof of False
% 32.22/32.39  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 32.22/32.39  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 32.22/32.39  Found a10:=(a1 V):((rel_s4 V) V)
% 32.22/32.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 32.22/32.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 32.22/32.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 32.22/32.39  Found (x3 (a1 V)) as proof of False
% 32.22/32.39  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 32.22/32.39  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 32.22/32.39  Found a10:=(a1 W):((rel_s4 W) W)
% 32.22/32.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.22/32.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.22/32.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.22/32.39  Found (x3 (a1 W)) as proof of False
% 32.22/32.39  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 32.22/32.39  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 32.22/32.39  Found a10:=(a1 V):((rel_s4 V) V)
% 32.22/32.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 32.22/32.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 32.22/32.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found a10:=(a1 W):((rel_s4 W) W)
% 39.52/39.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.52/39.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.52/39.70  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.52/39.70  Found (x3 (a1 W)) as proof of False
% 39.52/39.70  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 39.52/39.70  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 39.52/39.70  Found a10:=(a1 V):((rel_s4 V) V)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found a10:=(a1 V):((rel_s4 V) V)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found a10:=(a1 V):((rel_s4 V) V)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found a10:=(a1 V):((rel_s4 V) V)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V0)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V0)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V0)
% 39.52/39.70  Found (x1 (a1 V)) as proof of False
% 39.52/39.70  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 39.52/39.70  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 39.52/39.70  Found a10:=(a1 V):((rel_s4 V) V)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V0)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V0)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V0)
% 39.52/39.70  Found (x1 (a1 V)) as proof of False
% 39.52/39.70  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 39.52/39.70  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 39.52/39.70  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 39.52/39.70  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 39.52/39.70  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 39.52/39.70  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 39.52/39.70  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 39.52/39.70  Found a10:=(a1 V):((rel_s4 V) V)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (x3 (a1 V)) as proof of False
% 39.52/39.70  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 39.52/39.70  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 39.52/39.70  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 39.52/39.70  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 39.52/39.70  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 39.52/39.70  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 39.52/39.70  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 39.52/39.70  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 39.52/39.70  Found a10:=(a1 V):((rel_s4 V) V)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found a10:=(a1 V):((rel_s4 V) V)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (a1 V) as proof of ((rel_s4 V) V00)
% 39.52/39.70  Found (x3 (a1 V)) as proof of False
% 39.52/39.70  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 39.52/39.70  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 39.52/39.70  Found a10:=(a1 S):((rel_s4 S) S)
% 39.52/39.70  Found (a1 S) as proof of ((rel_s4 S) V0)
% 39.52/39.70  Found (a1 S) as proof of ((rel_s4 S) V0)
% 39.52/39.70  Found (a1 S) as proof of ((rel_s4 S) V0)
% 39.52/39.70  Found (x3 (a1 S)) as proof of False
% 39.52/39.70  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 44.94/45.13  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 44.94/45.13  Found a10:=(a1 V):((rel_s4 V) V)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found a10:=(a1 S):((rel_s4 S) S)
% 44.94/45.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 44.94/45.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 44.94/45.13  Found (a1 S) as proof of ((rel_s4 S) V0)
% 44.94/45.13  Found (x3 (a1 S)) as proof of False
% 44.94/45.13  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 44.94/45.13  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 44.94/45.13  Found a10:=(a1 W):((rel_s4 W) W)
% 44.94/45.13  Found (a1 W) as proof of ((rel_s4 W) V0)
% 44.94/45.13  Found (a1 W) as proof of ((rel_s4 W) V0)
% 44.94/45.13  Found (a1 W) as proof of ((rel_s4 W) V0)
% 44.94/45.13  Found (x3 (a1 W)) as proof of False
% 44.94/45.13  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 44.94/45.13  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 44.94/45.13  Found a10:=(a1 V):((rel_s4 V) V)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found a10:=(a1 W):((rel_s4 W) W)
% 44.94/45.13  Found (a1 W) as proof of ((rel_s4 W) V0)
% 44.94/45.13  Found (a1 W) as proof of ((rel_s4 W) V0)
% 44.94/45.13  Found (a1 W) as proof of ((rel_s4 W) V0)
% 44.94/45.13  Found (x3 (a1 W)) as proof of False
% 44.94/45.13  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 44.94/45.13  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 44.94/45.13  Found a10:=(a1 V):((rel_s4 V) V)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found a10:=(a1 V):((rel_s4 V) V)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found a10:=(a1 V):((rel_s4 V) V)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found a10:=(a1 V):((rel_s4 V) V)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found a10:=(a1 V):((rel_s4 V) V)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found a10:=(a1 V):((rel_s4 V) V)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found a10:=(a1 V):((rel_s4 V) V)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 44.94/45.13  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 44.94/45.13  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 44.94/45.13  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 44.94/45.13  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 44.94/45.13  Found a10:=(a1 V):((rel_s4 V) V)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found a10:=(a1 V):((rel_s4 V) V)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.94/45.13  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 44.94/45.13  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 44.94/45.13  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 44.94/45.13  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 44.94/45.13  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found a10:=(a1 V):((rel_s4 V) V)
% 47.66/47.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 47.66/47.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 47.66/47.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 47.66/47.83  Found (x3 (a1 V)) as proof of False
% 47.66/47.83  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 47.66/47.83  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 47.66/47.83  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 47.66/47.83  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found a10:=(a1 V):((rel_s4 V) V)
% 47.66/47.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 47.66/47.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 47.66/47.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 47.66/47.83  Found (x3 (a1 V)) as proof of False
% 47.66/47.83  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 47.66/47.83  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 47.66/47.83  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 47.66/47.83  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found a10:=(a1 W):((rel_s4 W) W)
% 47.66/47.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 47.66/47.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 47.66/47.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 47.66/47.83  Found (x5 (a1 W)) as proof of False
% 47.66/47.83  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 47.66/47.83  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 47.66/47.83  Found a10:=(a1 W):((rel_s4 W) W)
% 47.66/47.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 47.66/47.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 47.66/47.83  Found (a1 W) as proof of ((rel_s4 W) V1)
% 47.66/47.83  Found (x5 (a1 W)) as proof of False
% 47.66/47.83  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 47.66/47.83  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 47.66/47.83  Found a10:=(a1 V):((rel_s4 V) V)
% 47.66/47.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 47.66/47.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 47.66/47.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 47.66/47.83  Found (x3 (a1 V)) as proof of False
% 47.66/47.83  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 47.66/47.83  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 47.66/47.83  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 47.66/47.83  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 47.66/47.83  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 51.85/52.01  Found a10:=(a1 V):((rel_s4 V) V)
% 51.85/52.01  Found (a1 V) as proof of ((rel_s4 V) V00)
% 51.85/52.01  Found (a1 V) as proof of ((rel_s4 V) V00)
% 51.85/52.01  Found (a1 V) as proof of ((rel_s4 V) V00)
% 51.85/52.01  Found (x3 (a1 V)) as proof of False
% 51.85/52.01  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 51.85/52.01  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 51.85/52.01  Found a10:=(a1 W):((rel_s4 W) W)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (x5 (a1 W)) as proof of False
% 51.85/52.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 51.85/52.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 51.85/52.01  Found a10:=(a1 W):((rel_s4 W) W)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (x5 (a1 W)) as proof of False
% 51.85/52.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 51.85/52.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 51.85/52.01  Found a10:=(a1 W):((rel_s4 W) W)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (x5 (a1 W)) as proof of False
% 51.85/52.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 51.85/52.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 51.85/52.01  Found a10:=(a1 W):((rel_s4 W) W)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (x5 (a1 W)) as proof of False
% 51.85/52.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 51.85/52.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 51.85/52.01  Found a10:=(a1 V):((rel_s4 V) V)
% 51.85/52.01  Found (a1 V) as proof of ((rel_s4 V) V0)
% 51.85/52.01  Found (a1 V) as proof of ((rel_s4 V) V0)
% 51.85/52.01  Found (a1 V) as proof of ((rel_s4 V) V0)
% 51.85/52.01  Found (x1 (a1 V)) as proof of False
% 51.85/52.01  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 51.85/52.01  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 51.85/52.01  Found a10:=(a1 W):((rel_s4 W) W)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (x5 (a1 W)) as proof of False
% 51.85/52.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 51.85/52.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 51.85/52.01  Found a10:=(a1 W):((rel_s4 W) W)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.85/52.01  Found (x5 (a1 W)) as proof of False
% 51.85/52.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 51.85/52.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 51.85/52.01  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 51.85/52.01  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 51.85/52.01  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 51.85/52.01  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 51.85/52.01  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 51.85/52.01  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 51.85/52.01  Found a10:=(a1 S):((rel_s4 S) S)
% 51.85/52.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.85/52.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.85/52.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.85/52.01  Found (x3 (a1 S)) as proof of False
% 51.85/52.01  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 51.85/52.01  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 51.85/52.01  Found a10:=(a1 V):((rel_s4 V) V)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found a10:=(a1 V):((rel_s4 V) V)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found a10:=(a1 S):((rel_s4 S) S)
% 62.56/62.74  Found (a1 S) as proof of ((rel_s4 S) V0)
% 62.56/62.74  Found (a1 S) as proof of ((rel_s4 S) V0)
% 62.56/62.74  Found (a1 S) as proof of ((rel_s4 S) V0)
% 62.56/62.74  Found (x3 (a1 S)) as proof of False
% 62.56/62.74  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 62.56/62.74  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 62.56/62.74  Found a10:=(a1 V):((rel_s4 V) V)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found a10:=(a1 V):((rel_s4 V) V)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found a10:=(a1 V):((rel_s4 V) V)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found a10:=(a1 V):((rel_s4 V) V)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found a10:=(a1 V):((rel_s4 V) V)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found a10:=(a1 V):((rel_s4 V) V)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found a10:=(a1 V):((rel_s4 V) V)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 62.56/62.74  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 62.56/62.74  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 62.56/62.74  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 62.56/62.74  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 62.56/62.74  Found a10:=(a1 V):((rel_s4 V) V)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 62.56/62.74  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 62.56/62.74  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 62.56/62.74  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 62.56/62.74  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 62.56/62.74  Found a10:=(a1 V):((rel_s4 V) V)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.56/62.74  Found (x3 (a1 V)) as proof of False
% 62.56/62.74  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 62.56/62.74  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 62.56/62.74  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 62.56/62.74  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 62.56/62.74  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 62.56/62.74  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 62.56/62.74  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found a10:=(a1 S):((rel_s4 S) S)
% 65.45/65.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.45/65.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.45/65.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.45/65.68  Found (x5 (a1 S)) as proof of False
% 65.45/65.68  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 65.45/65.68  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 65.45/65.68  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 65.45/65.68  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 65.45/65.68  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 65.45/65.68  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found a10:=(a1 V):((rel_s4 V) V)
% 65.45/65.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 65.45/65.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 65.45/65.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 65.45/65.68  Found (x3 (a1 V)) as proof of False
% 65.45/65.68  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 65.45/65.68  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 65.45/65.68  Found a10:=(a1 V):((rel_s4 V) V)
% 65.45/65.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 65.45/65.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 65.45/65.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 65.45/65.68  Found (x3 (a1 V)) as proof of False
% 65.45/65.68  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 65.45/65.68  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 65.45/65.68  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 65.45/65.68  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 65.45/65.68  Found a10:=(a1 V):((rel_s4 V) V)
% 65.45/65.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 65.45/65.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 65.45/65.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 65.45/65.68  Found a10:=(a1 S):((rel_s4 S) S)
% 67.45/67.66  Found (a1 S) as proof of ((rel_s4 S) V1)
% 67.45/67.66  Found (a1 S) as proof of ((rel_s4 S) V1)
% 67.45/67.66  Found (a1 S) as proof of ((rel_s4 S) V1)
% 67.45/67.66  Found (x5 (a1 S)) as proof of False
% 67.45/67.66  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 67.45/67.66  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 67.45/67.66  Found a10:=(a1 S):((rel_s4 S) S)
% 67.45/67.66  Found (a1 S) as proof of ((rel_s4 S) V1)
% 67.45/67.66  Found (a1 S) as proof of ((rel_s4 S) V1)
% 67.45/67.66  Found (a1 S) as proof of ((rel_s4 S) V1)
% 67.45/67.66  Found (x5 (a1 S)) as proof of False
% 67.45/67.66  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 67.45/67.66  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 67.45/67.66  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 67.45/67.66  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 67.45/67.66  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 67.45/67.66  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 67.45/67.66  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 67.45/67.66  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 67.45/67.66  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 67.45/67.66  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 67.45/67.66  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 67.45/67.66  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 67.45/67.66  Found a10:=(a1 S):((rel_s4 S) S)
% 67.45/67.66  Found (a1 S) as proof of ((rel_s4 S) V1)
% 67.45/67.66  Found (a1 S) as proof of ((rel_s4 S) V1)
% 67.45/67.66  Found (a1 S) as proof of ((rel_s4 S) V1)
% 67.45/67.66  Found (x5 (a1 S)) as proof of False
% 67.45/67.66  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 67.45/67.66  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 67.45/67.66  Found a10:=(a1 V):((rel_s4 V) V)
% 67.45/67.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 67.45/67.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 67.45/67.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 67.45/67.66  Found (x3 (a1 V)) as proof of False
% 67.45/67.66  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 67.45/67.66  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 67.45/67.66  Found or_intror20:=(or_intror2 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 67.45/67.66  Found (or_intror2 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 67.45/67.66  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 67.45/67.66  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 67.45/67.66  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 67.45/67.66  Found a10:=(a1 V):((rel_s4 V) V)
% 67.45/67.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 67.45/67.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 67.45/67.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 67.45/67.66  Found a10:=(a1 S):((rel_s4 S) S)
% 67.45/67.66  Found (a1 S) as proof of ((rel_s4 S) V1)
% 67.45/67.66  Found (a1 S) as proof of ((rel_s4 S) V1)
% 67.45/67.66  Found (a1 S) as proof of ((rel_s4 S) V1)
% 67.45/67.66  Found (x5 (a1 S)) as proof of False
% 67.45/67.66  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 67.45/67.66  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 67.45/67.66  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 67.45/67.66  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 67.45/67.66  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 69.55/69.76  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 69.55/69.76  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 69.55/69.76  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 69.55/69.76  Found a10:=(a1 V):((rel_s4 V) V)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V0)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V0)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V0)
% 69.55/69.76  Found (x1 (a1 V)) as proof of False
% 69.55/69.76  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 69.55/69.76  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 69.55/69.76  Found a10:=(a1 V):((rel_s4 V) V)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V0)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V0)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V0)
% 69.55/69.76  Found (x1 (a1 V)) as proof of False
% 69.55/69.76  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 69.55/69.76  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 69.55/69.76  Found a10:=(a1 S):((rel_s4 S) S)
% 69.55/69.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 69.55/69.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 69.55/69.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 69.55/69.76  Found (x5 (a1 S)) as proof of False
% 69.55/69.76  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 69.55/69.76  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 69.55/69.76  Found a10:=(a1 S):((rel_s4 S) S)
% 69.55/69.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 69.55/69.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 69.55/69.76  Found (a1 S) as proof of ((rel_s4 S) V1)
% 69.55/69.76  Found (x5 (a1 S)) as proof of False
% 69.55/69.76  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 69.55/69.76  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 69.55/69.76  Found a10:=(a1 V):((rel_s4 V) V)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 69.55/69.76  Found (x3 (a1 V)) as proof of False
% 69.55/69.76  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 69.55/69.76  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 69.55/69.76  Found a10:=(a1 V):((rel_s4 V) V)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 69.55/69.76  Found (x3 (a1 V)) as proof of False
% 69.55/69.76  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 69.55/69.76  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 69.55/69.76  Found a10:=(a1 V):((rel_s4 V) V)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V0)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V0)
% 69.55/69.76  Found (a1 V) as proof of ((rel_s4 V) V0)
% 69.55/69.76  Found (x1 (a1 V)) as proof of False
% 69.55/69.76  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 69.55/69.76  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 69.55/69.76  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 69.55/69.76  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 69.55/69.76  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 69.55/69.76  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 69.55/69.76  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 69.55/69.76  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 69.55/69.76  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 69.55/69.76  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 69.55/69.76  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found a10:=(a1 V):((rel_s4 V) V)
% 72.14/72.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 72.14/72.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 72.14/72.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 72.14/72.35  Found (x3 (a1 V)) as proof of False
% 72.14/72.35  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 72.14/72.35  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 72.14/72.35  Found a10:=(a1 V):((rel_s4 V) V)
% 72.14/72.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 72.14/72.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 72.14/72.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 72.14/72.35  Found (x3 (a1 V)) as proof of False
% 72.14/72.35  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 72.14/72.35  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 72.14/72.35  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 72.14/72.35  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 72.14/72.35  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 72.14/72.35  Found a10:=(a1 S):((rel_s4 S) S)
% 72.14/72.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 72.14/72.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 72.14/72.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 72.14/72.35  Found (x5 (a1 S)) as proof of False
% 72.14/72.35  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 72.14/72.35  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 72.14/72.35  Found a10:=(a1 V):((rel_s4 V) V)
% 72.14/72.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 72.14/72.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 72.14/72.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 72.14/72.35  Found (x3 (a1 V)) as proof of False
% 72.14/72.35  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 72.14/72.35  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 72.14/72.35  Found a10:=(a1 V):((rel_s4 V) V)
% 72.14/72.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 72.14/72.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 72.14/72.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 72.14/72.35  Found (x3 (a1 V)) as proof of False
% 72.14/72.35  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 72.14/72.35  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 72.14/72.35  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 72.14/72.35  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 77.34/77.55  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 77.34/77.55  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 77.34/77.55  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 77.34/77.55  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 77.34/77.55  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 77.34/77.55  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 77.34/77.55  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 77.34/77.55  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 77.34/77.55  Found a10:=(a1 V):((rel_s4 V) V)
% 77.34/77.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.34/77.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.34/77.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.34/77.55  Found (x3 (a1 V)) as proof of False
% 77.34/77.55  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 77.34/77.55  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 77.34/77.55  Found a10:=(a1 V):((rel_s4 V) V)
% 77.34/77.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.34/77.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.34/77.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.34/77.55  Found (x3 (a1 V)) as proof of False
% 77.34/77.55  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 77.34/77.55  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 77.34/77.55  Found a10:=(a1 V):((rel_s4 V) V)
% 77.34/77.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.34/77.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.34/77.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.34/77.55  Found or_intror20:=(or_intror2 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 77.34/77.55  Found (or_intror2 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 77.34/77.55  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 77.34/77.55  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 77.34/77.55  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 77.34/77.55  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 77.34/77.55  Found a10:=(a1 V):((rel_s4 V) V)
% 77.34/77.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.34/77.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.34/77.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.34/77.55  Found a10:=(a1 W):((rel_s4 W) W)
% 77.34/77.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 77.34/77.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 77.34/77.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 77.34/77.55  Found (x5 (a1 W)) as proof of False
% 77.34/77.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 77.34/77.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 77.34/77.55  Found a10:=(a1 W):((rel_s4 W) W)
% 77.34/77.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 77.34/77.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 77.34/77.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 77.34/77.55  Found (x5 (a1 W)) as proof of False
% 77.34/77.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 77.34/77.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 77.34/77.55  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 77.34/77.55  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 77.34/77.55  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 77.34/77.55  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 82.64/82.81  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 82.64/82.81  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 82.64/82.81  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 82.64/82.81  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 82.64/82.81  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 82.64/82.81  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 82.64/82.81  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 82.64/82.81  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 82.64/82.81  Found a10:=(a1 W):((rel_s4 W) W)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (x5 (a1 W)) as proof of False
% 82.64/82.81  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 82.64/82.81  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 82.64/82.81  Found a10:=(a1 W):((rel_s4 W) W)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (x5 (a1 W)) as proof of False
% 82.64/82.81  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 82.64/82.81  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 82.64/82.81  Found a10:=(a1 W):((rel_s4 W) W)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (x5 (a1 W)) as proof of False
% 82.64/82.81  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 82.64/82.81  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 82.64/82.81  Found a10:=(a1 W):((rel_s4 W) W)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (x5 (a1 W)) as proof of False
% 82.64/82.81  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 82.64/82.81  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 82.64/82.81  Found x3:(((rel_s4 V) V00)->False)
% 82.64/82.81  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 82.64/82.81  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 82.64/82.81  Found (or_introl00 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 82.64/82.81  Found ((or_introl0 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 82.64/82.81  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 82.64/82.81  Found a10:=(a1 V):((rel_s4 V) V)
% 82.64/82.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 82.64/82.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 82.64/82.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 82.64/82.81  Found a10:=(a1 W):((rel_s4 W) W)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (x5 (a1 W)) as proof of False
% 82.64/82.81  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 82.64/82.81  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 82.64/82.81  Found a10:=(a1 W):((rel_s4 W) W)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.64/82.81  Found (x5 (a1 W)) as proof of False
% 82.64/82.81  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 82.64/82.81  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 82.64/82.81  Found x3:(((rel_s4 V) V00)->False)
% 82.64/82.81  Instantiate: V00:=V1:fofType
% 82.64/82.81  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 82.64/82.81  Found (or_introl00 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 82.64/82.81  Found ((or_introl0 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 82.64/82.81  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 97.62/97.81  Found a10:=(a1 V):((rel_s4 V) V)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found a10:=(a1 V):((rel_s4 V) V)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found a10:=(a1 V):((rel_s4 V) V)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found x2:((rel_s4 V0) V1)
% 97.62/97.81  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 97.62/97.81  Found x2 as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found (x4 x2) as proof of False
% 97.62/97.81  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 97.62/97.81  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 97.62/97.81  Found a10:=(a1 V):((rel_s4 V) V)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found a10:=(a1 V):((rel_s4 V) V)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found x2:((rel_s4 V0) V1)
% 97.62/97.81  Instantiate: V00:=V1:fofType
% 97.62/97.81  Found x2 as proof of ((rel_s4 V) V00)
% 97.62/97.81  Found (x4 x2) as proof of False
% 97.62/97.81  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 97.62/97.81  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 97.62/97.81  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 97.62/97.81  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 97.62/97.81  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 97.62/97.81  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 97.62/97.81  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 97.62/97.81  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 97.62/97.81  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 97.62/97.81  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 97.62/97.81  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 97.62/97.81  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 97.62/97.81  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 97.62/97.81  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 97.62/97.81  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 97.62/97.81  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 97.62/97.81  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 97.62/97.81  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 97.62/97.81  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 97.62/97.81  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 97.62/97.81  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 97.62/97.81  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 97.62/97.81  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 97.62/97.81  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 100.73/100.95  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 100.73/100.95  Found a10:=(a1 V):((rel_s4 V) V)
% 100.73/100.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.73/100.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.73/100.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.73/100.95  Found or_intror20:=(or_intror2 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 100.73/100.95  Found (or_intror2 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 100.73/100.95  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 100.73/100.95  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 100.73/100.95  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 100.73/100.95  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 100.73/100.95  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 100.73/100.95  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 100.73/100.95  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 100.73/100.95  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 100.73/100.95  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 105.33/105.52  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 105.33/105.52  Found a10:=(a1 V):((rel_s4 V) V)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V00)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V00)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V00)
% 105.33/105.52  Found a10:=(a1 V):((rel_s4 V) V)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V01)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V01)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V01)
% 105.33/105.52  Found (x5 (a1 V)) as proof of False
% 105.33/105.52  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 105.33/105.52  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 105.33/105.52  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 105.33/105.52  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 105.33/105.52  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 105.33/105.52  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 105.33/105.52  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 105.33/105.52  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 105.33/105.52  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 105.33/105.52  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 105.33/105.52  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 105.33/105.52  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 105.33/105.52  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 105.33/105.52  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 105.33/105.52  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 105.33/105.52  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 105.33/105.52  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 105.33/105.52  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 105.33/105.52  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 105.33/105.52  Found a10:=(a1 V):((rel_s4 V) V)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V00)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V00)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V00)
% 105.33/105.52  Found (x3 (a1 V)) as proof of False
% 105.33/105.52  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 105.33/105.52  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 105.33/105.52  Found a10:=(a1 V):((rel_s4 V) V)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V0)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V0)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V0)
% 105.33/105.52  Found (x1 (a1 V)) as proof of False
% 105.33/105.52  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 105.33/105.52  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 105.33/105.52  Found a10:=(a1 V):((rel_s4 V) V)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V00)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V00)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V00)
% 105.33/105.52  Found (x3 (a1 V)) as proof of False
% 105.33/105.52  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 105.33/105.52  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 105.33/105.52  Found a10:=(a1 V):((rel_s4 V) V)
% 105.33/105.52  Found (a1 V) as proof of ((rel_s4 V) V0)
% 107.03/107.21  Found (a1 V) as proof of ((rel_s4 V) V0)
% 107.03/107.21  Found (a1 V) as proof of ((rel_s4 V) V0)
% 107.03/107.21  Found (x1 (a1 V)) as proof of False
% 107.03/107.21  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 107.03/107.21  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 107.03/107.21  Found a10:=(a1 V):((rel_s4 V) V)
% 107.03/107.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 107.03/107.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 107.03/107.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 107.03/107.21  Found (x5 (a1 V)) as proof of False
% 107.03/107.21  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 107.03/107.21  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 107.03/107.21  Found a10:=(a1 V):((rel_s4 V) V)
% 107.03/107.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 107.03/107.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 107.03/107.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 107.03/107.21  Found (x5 (a1 V)) as proof of False
% 107.03/107.21  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 107.03/107.21  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 107.03/107.21  Found a10:=(a1 V):((rel_s4 V) V)
% 107.03/107.21  Found (a1 V) as proof of ((rel_s4 V) V0)
% 107.03/107.21  Found (a1 V) as proof of ((rel_s4 V) V0)
% 107.03/107.21  Found (a1 V) as proof of ((rel_s4 V) V0)
% 107.03/107.21  Found (x1 (a1 V)) as proof of False
% 107.03/107.21  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 107.03/107.21  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 107.03/107.21  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 107.03/107.21  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 107.03/107.21  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 107.03/107.21  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 107.03/107.21  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 107.03/107.21  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 109.81/110.05  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 109.81/110.05  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 109.81/110.05  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 109.81/110.05  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 109.81/110.05  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 109.81/110.05  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 109.81/110.05  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 109.81/110.05  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 109.81/110.05  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 109.81/110.05  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 109.81/110.05  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 109.81/110.05  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 109.81/110.05  Found or_intror20:=(or_intror2 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 109.81/110.05  Found (or_intror2 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 109.81/110.05  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 109.81/110.05  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 109.81/110.05  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 109.81/110.05  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 109.81/110.05  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 109.81/110.05  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 109.81/110.05  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 109.81/110.05  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 109.81/110.05  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 109.81/110.05  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 109.81/110.05  Found a10:=(a1 V):((rel_s4 V) V)
% 109.81/110.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 109.81/110.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 109.81/110.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 109.81/110.05  Found a10:=(a1 V):((rel_s4 V) V)
% 109.81/110.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 109.81/110.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 109.81/110.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 109.81/110.05  Found (x3 (a1 V)) as proof of False
% 109.81/110.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 109.81/110.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 109.81/110.05  Found a10:=(a1 V):((rel_s4 V) V)
% 109.81/110.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 109.81/110.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 109.81/110.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 109.81/110.05  Found (x3 (a1 V)) as proof of False
% 109.81/110.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 109.81/110.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 109.81/110.05  Found a10:=(a1 V):((rel_s4 V) V)
% 109.81/110.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 109.81/110.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 114.04/114.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 114.04/114.24  Found (x3 (a1 V)) as proof of False
% 114.04/114.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 114.04/114.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 114.04/114.24  Found a10:=(a1 V):((rel_s4 V) V)
% 114.04/114.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 114.04/114.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 114.04/114.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 114.04/114.24  Found (x3 (a1 V)) as proof of False
% 114.04/114.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 114.04/114.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 114.04/114.24  Found a10:=(a1 V):((rel_s4 V) V)
% 114.04/114.24  Found (a1 V) as proof of ((rel_s4 V) V01)
% 114.04/114.24  Found (a1 V) as proof of ((rel_s4 V) V01)
% 114.04/114.24  Found (a1 V) as proof of ((rel_s4 V) V01)
% 114.04/114.24  Found (x5 (a1 V)) as proof of False
% 114.04/114.24  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 114.04/114.24  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 114.04/114.24  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 114.04/114.24  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 114.04/114.24  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 114.04/114.24  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found a10:=(a1 V):((rel_s4 V) V)
% 114.04/114.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 114.04/114.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 114.04/114.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 114.04/114.24  Found (x3 (a1 V)) as proof of False
% 114.04/114.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 114.04/114.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 114.04/114.24  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 114.04/114.24  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 114.04/114.24  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 118.50/118.71  Found a10:=(a1 V):((rel_s4 V) V)
% 118.50/118.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 118.50/118.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 118.50/118.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 118.50/118.71  Found a10:=(a1 V):((rel_s4 V) V)
% 118.50/118.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 118.50/118.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 118.50/118.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 118.50/118.71  Found (x3 (a1 V)) as proof of False
% 118.50/118.71  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 118.50/118.71  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 118.50/118.71  Found a10:=(a1 S):((rel_s4 S) S)
% 118.50/118.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 118.50/118.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 118.50/118.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 118.50/118.71  Found (x5 (a1 S)) as proof of False
% 118.50/118.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 118.50/118.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 118.50/118.71  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 118.50/118.71  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 118.50/118.71  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 118.50/118.71  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 118.50/118.71  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 118.50/118.71  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 118.50/118.71  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 118.50/118.71  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 118.50/118.71  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 118.50/118.71  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 118.50/118.71  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 118.50/118.71  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 118.50/118.71  Found or_intror10:=(or_intror1 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 118.50/118.71  Found (or_intror1 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 118.50/118.71  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 118.50/118.71  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 118.50/118.71  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 118.50/118.71  Found or_intror10:=(or_intror1 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 118.50/118.71  Found (or_intror1 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 118.50/118.71  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 118.50/118.71  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 118.50/118.71  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 118.50/118.71  Found a10:=(a1 S):((rel_s4 S) S)
% 118.50/118.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 118.50/118.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 118.50/118.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 118.50/118.71  Found (x5 (a1 S)) as proof of False
% 118.50/118.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 118.50/118.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 123.23/123.48  Found a10:=(a1 S):((rel_s4 S) S)
% 123.23/123.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.23/123.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.23/123.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.23/123.48  Found (x5 (a1 S)) as proof of False
% 123.23/123.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 123.23/123.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 123.23/123.48  Found x3:(((rel_s4 V) V00)->False)
% 123.23/123.48  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 123.23/123.48  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 123.23/123.48  Found (or_introl00 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 123.23/123.48  Found ((or_introl0 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 123.23/123.48  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 123.23/123.48  Found a10:=(a1 V):((rel_s4 V) V)
% 123.23/123.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 123.23/123.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 123.23/123.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 123.23/123.48  Found (x3 (a1 V)) as proof of False
% 123.23/123.48  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 123.23/123.48  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 123.23/123.48  Found a10:=(a1 S):((rel_s4 S) S)
% 123.23/123.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.23/123.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.23/123.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.23/123.48  Found (x5 (a1 S)) as proof of False
% 123.23/123.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 123.23/123.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 123.23/123.48  Found a10:=(a1 V):((rel_s4 V) V)
% 123.23/123.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 123.23/123.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 123.23/123.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 123.23/123.48  Found (x3 (a1 V)) as proof of False
% 123.23/123.48  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 123.23/123.48  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 123.23/123.48  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 123.23/123.48  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.23/123.48  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.23/123.48  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.23/123.48  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.23/123.48  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.23/123.48  Found a10:=(a1 V):((rel_s4 V) V)
% 123.23/123.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 123.23/123.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 123.23/123.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 123.23/123.48  Found a10:=(a1 S):((rel_s4 S) S)
% 123.23/123.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.23/123.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.23/123.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 123.23/123.48  Found (x5 (a1 S)) as proof of False
% 123.23/123.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 123.23/123.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 123.23/123.48  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 123.23/123.48  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.23/123.48  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.23/123.48  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.23/123.48  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.23/123.48  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.23/123.48  Found a10:=(a1 V):((rel_s4 V) V)
% 123.23/123.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 123.23/123.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 123.23/123.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found x3:(((rel_s4 V) V00)->False)
% 126.41/126.64  Instantiate: V00:=V1:fofType
% 126.41/126.64  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 126.41/126.64  Found (or_introl00 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 126.41/126.64  Found ((or_introl0 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 126.41/126.64  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 126.41/126.64  Found a10:=(a1 V):((rel_s4 V) V)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (x3 (a1 V)) as proof of False
% 126.41/126.64  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 126.41/126.64  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 126.41/126.64  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 126.41/126.64  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 126.41/126.64  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 126.41/126.64  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 126.41/126.64  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 126.41/126.64  Found a10:=(a1 V):((rel_s4 V) V)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found a10:=(a1 S):((rel_s4 S) S)
% 126.41/126.64  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.41/126.64  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.41/126.64  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.41/126.64  Found (x5 (a1 S)) as proof of False
% 126.41/126.64  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 126.41/126.64  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 126.41/126.64  Found a10:=(a1 S):((rel_s4 S) S)
% 126.41/126.64  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.41/126.64  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.41/126.64  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.41/126.64  Found (x5 (a1 S)) as proof of False
% 126.41/126.64  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 126.41/126.64  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 126.41/126.64  Found a10:=(a1 V):((rel_s4 V) V)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (x3 (a1 V)) as proof of False
% 126.41/126.64  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 126.41/126.64  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 126.41/126.64  Found a10:=(a1 V):((rel_s4 V) V)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found a10:=(a1 V):((rel_s4 V) V)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found a10:=(a1 V):((rel_s4 V) V)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.41/126.64  Found or_intror10:=(or_intror1 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 126.41/126.64  Found (or_intror1 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 126.41/126.64  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 126.41/126.64  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 126.41/126.64  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 126.41/126.64  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 126.41/126.64  Found or_intror10:=(or_intror1 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 126.41/126.64  Found (or_intror1 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 139.17/139.43  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 139.17/139.43  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 139.17/139.43  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 139.17/139.43  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 139.17/139.43  Found a10:=(a1 V):((rel_s4 V) V)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found a10:=(a1 V):((rel_s4 V) V)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found a10:=(a1 S):((rel_s4 S) S)
% 139.17/139.43  Found (a1 S) as proof of ((rel_s4 S) V1)
% 139.17/139.43  Found (a1 S) as proof of ((rel_s4 S) V1)
% 139.17/139.43  Found (a1 S) as proof of ((rel_s4 S) V1)
% 139.17/139.43  Found (x5 (a1 S)) as proof of False
% 139.17/139.43  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 139.17/139.43  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 139.17/139.43  Found a10:=(a1 V):((rel_s4 V) V)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found a10:=(a1 V):((rel_s4 V) V)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found a10:=(a1 V):((rel_s4 V) V)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found x2:((rel_s4 V0) V1)
% 139.17/139.43  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 139.17/139.43  Found x2 as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (x4 x2) as proof of False
% 139.17/139.43  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 139.17/139.43  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 139.17/139.43  Found a10:=(a1 V):((rel_s4 V) V)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 139.17/139.43  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 139.17/139.43  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 139.17/139.43  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 139.17/139.43  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 139.17/139.43  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 139.17/139.43  Found x2:((rel_s4 V0) V1)
% 139.17/139.43  Instantiate: V00:=V1:fofType
% 139.17/139.43  Found x2 as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (x4 x2) as proof of False
% 139.17/139.43  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 139.17/139.43  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 139.17/139.43  Found a10:=(a1 V):((rel_s4 V) V)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 139.17/139.43  Found x3:(((rel_s4 V) V00)->False)
% 139.17/139.43  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 139.17/139.43  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 139.17/139.43  Found (or_introl10 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 139.17/139.43  Found ((or_introl1 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 139.17/139.43  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 139.17/139.43  Found x3:(((rel_s4 V) V00)->False)
% 139.17/139.43  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 139.17/139.43  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 139.17/139.43  Found (or_introl10 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 139.17/139.43  Found ((or_introl1 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 147.10/147.34  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 147.10/147.34  Found a10:=(a1 V):((rel_s4 V) V)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found a10:=(a1 V):((rel_s4 V) V)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found a10:=(a1 V):((rel_s4 V) V)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found a10:=(a1 V):((rel_s4 V) V)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found a10:=(a1 V):((rel_s4 V) V)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found x3:(((rel_s4 V) V00)->False)
% 147.10/147.34  Instantiate: V00:=V1:fofType
% 147.10/147.34  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 147.10/147.34  Found (or_introl10 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 147.10/147.34  Found ((or_introl1 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 147.10/147.34  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 147.10/147.34  Found x3:(((rel_s4 V) V00)->False)
% 147.10/147.34  Instantiate: V00:=V1:fofType
% 147.10/147.34  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 147.10/147.34  Found (or_introl10 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 147.10/147.34  Found ((or_introl1 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 147.10/147.34  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 147.10/147.34  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 147.10/147.34  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 147.10/147.34  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 147.10/147.34  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 147.10/147.34  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 147.10/147.34  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 147.10/147.34  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 147.10/147.34  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 147.10/147.34  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 147.10/147.34  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 147.10/147.34  Found a10:=(a1 V):((rel_s4 V) V)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found x2:((rel_s4 V0) V1)
% 147.10/147.34  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 147.10/147.34  Found x2 as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (x4 x2) as proof of False
% 147.10/147.34  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 147.10/147.34  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 147.10/147.34  Found a10:=(a1 V):((rel_s4 V) V)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found a10:=(a1 V):((rel_s4 V) V)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found a10:=(a1 V):((rel_s4 V) V)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.10/147.34  Found x3:(((rel_s4 V) V00)->False)
% 147.10/147.34  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 147.10/147.34  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 147.10/147.34  Found (or_intror20 x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 147.10/147.34  Found ((or_intror2 (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 151.09/151.38  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 151.09/151.38  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 151.09/151.38  Found (or_comm_i00 (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 151.09/151.38  Found ((or_comm_i0 (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 151.09/151.38  Found (((or_comm_i (p V1)) (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 151.09/151.38  Found a10:=(a1 V):((rel_s4 V) V)
% 151.09/151.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.09/151.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.09/151.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.09/151.38  Found a10:=(a1 V):((rel_s4 V) V)
% 151.09/151.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.09/151.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.09/151.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.09/151.38  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 151.09/151.38  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 151.09/151.38  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 151.09/151.38  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 151.09/151.38  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 151.09/151.38  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 151.09/151.38  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 151.09/151.38  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 151.09/151.38  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 151.09/151.38  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 151.09/151.38  Found x2:((rel_s4 V0) V1)
% 151.09/151.38  Instantiate: V00:=V1:fofType
% 151.09/151.38  Found x2 as proof of ((rel_s4 V) V00)
% 151.09/151.38  Found (x4 x2) as proof of False
% 151.09/151.38  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 151.09/151.38  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 151.09/151.38  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 151.09/151.38  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 151.09/151.38  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 151.09/151.38  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 151.09/151.38  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 151.09/151.38  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 151.09/151.38  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 151.09/151.38  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 151.09/151.38  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 151.09/151.38  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 151.09/151.38  Found x3:(((rel_s4 V) V00)->False)
% 151.09/151.38  Instantiate: V00:=V1:fofType
% 151.09/151.38  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 151.09/151.38  Found (or_intror20 x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 151.09/151.38  Found ((or_intror2 (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 154.59/154.82  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 154.59/154.82  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 154.59/154.82  Found (or_comm_i00 (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 154.59/154.82  Found ((or_comm_i0 (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 154.59/154.82  Found (((or_comm_i (p V1)) (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 154.59/154.82  Found a10:=(a1 V):((rel_s4 V) V)
% 154.59/154.82  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.59/154.82  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.59/154.82  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.59/154.82  Found a10:=(a1 V):((rel_s4 V) V)
% 154.59/154.82  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.59/154.82  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.59/154.82  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.59/154.82  Found a10:=(a1 V):((rel_s4 V) V)
% 154.59/154.82  Found (a1 V) as proof of ((rel_s4 V) V01)
% 154.59/154.82  Found (a1 V) as proof of ((rel_s4 V) V01)
% 154.59/154.82  Found (a1 V) as proof of ((rel_s4 V) V01)
% 154.59/154.82  Found (x5 (a1 V)) as proof of False
% 154.59/154.82  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 154.59/154.82  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 154.59/154.82  Found x2:((rel_s4 V0) V1)
% 154.59/154.82  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 154.59/154.82  Found x2 as proof of ((rel_s4 V) V00)
% 154.59/154.82  Found (x4 x2) as proof of False
% 154.59/154.82  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 154.59/154.82  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 154.59/154.82  Found x2:((rel_s4 V0) V1)
% 154.59/154.82  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 154.59/154.82  Found x2 as proof of ((rel_s4 V) V00)
% 154.59/154.82  Found (x4 x2) as proof of False
% 154.59/154.82  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 154.59/154.82  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 154.59/154.82  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 154.59/154.82  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 154.59/154.82  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 154.59/154.82  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 154.59/154.82  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 154.59/154.82  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 154.59/154.82  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 154.59/154.82  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 154.59/154.82  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 154.59/154.82  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 154.59/154.82  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 154.59/154.82  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 154.59/154.82  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 154.59/154.82  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 154.59/154.82  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 154.59/154.82  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 154.59/154.82  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 160.83/161.09  Found a10:=(a1 V):((rel_s4 V) V)
% 160.83/161.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 160.83/161.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 160.83/161.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 160.83/161.09  Found a10:=(a1 V):((rel_s4 V) V)
% 160.83/161.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 160.83/161.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 160.83/161.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 160.83/161.09  Found (x5 (a1 V)) as proof of False
% 160.83/161.09  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 160.83/161.09  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 160.83/161.09  Found a10:=(a1 V):((rel_s4 V) V)
% 160.83/161.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 160.83/161.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 160.83/161.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 160.83/161.09  Found (x5 (a1 V)) as proof of False
% 160.83/161.09  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 160.83/161.09  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 160.83/161.09  Found x2:((rel_s4 V0) V1)
% 160.83/161.09  Instantiate: V00:=V1:fofType
% 160.83/161.09  Found x2 as proof of ((rel_s4 V) V00)
% 160.83/161.09  Found (x4 x2) as proof of False
% 160.83/161.09  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 160.83/161.09  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 160.83/161.09  Found x2:((rel_s4 V0) V1)
% 160.83/161.09  Instantiate: V00:=V1:fofType
% 160.83/161.09  Found x2 as proof of ((rel_s4 V) V00)
% 160.83/161.09  Found (x4 x2) as proof of False
% 160.83/161.09  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 160.83/161.09  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 160.83/161.09  Found or_intror20:=(or_intror2 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 160.83/161.09  Found (or_intror2 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 160.83/161.09  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 160.83/161.09  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 160.83/161.09  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 160.83/161.09  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 160.83/161.09  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 160.83/161.09  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 160.83/161.09  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 160.83/161.09  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 160.83/161.09  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 160.83/161.09  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 160.83/161.09  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 160.83/161.09  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 160.83/161.09  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 160.83/161.09  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 160.83/161.09  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 160.83/161.09  Found or_intror20:=(or_intror2 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 160.83/161.09  Found (or_intror2 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 160.83/161.09  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 160.83/161.09  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 168.72/169.02  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 168.72/169.02  Found a10:=(a1 V):((rel_s4 V) V)
% 168.72/169.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 168.72/169.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 168.72/169.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 168.72/169.02  Found a10:=(a1 V):((rel_s4 V) V)
% 168.72/169.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 168.72/169.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 168.72/169.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 168.72/169.02  Found (x1 (a1 V)) as proof of False
% 168.72/169.02  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 168.72/169.02  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 168.72/169.02  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 168.72/169.02  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 168.72/169.02  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found a10:=(a1 V):((rel_s4 V) V)
% 168.72/169.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 168.72/169.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 168.72/169.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 168.72/169.02  Found (x5 (a1 V)) as proof of False
% 168.72/169.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 168.72/169.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 168.72/169.02  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 168.72/169.02  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found or_intror20:=(or_intror2 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 168.72/169.02  Found (or_intror2 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 168.72/169.02  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 168.72/169.02  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 168.72/169.02  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 168.72/169.02  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 168.72/169.02  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 168.72/169.02  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 175.50/175.76  Found or_intror10:=(or_intror1 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 175.50/175.76  Found (or_intror1 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 175.50/175.76  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 175.50/175.76  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 175.50/175.76  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 175.50/175.76  Found or_intror10:=(or_intror1 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 175.50/175.76  Found (or_intror1 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 175.50/175.76  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 175.50/175.76  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 175.50/175.76  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 175.50/175.76  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 175.50/175.76  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 175.50/175.76  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 175.50/175.76  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 175.50/175.76  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 175.50/175.76  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 175.50/175.76  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 175.50/175.76  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 175.50/175.76  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 175.50/175.76  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 181.13/181.43  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 181.13/181.43  Found or_intror20:=(or_intror2 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 181.13/181.43  Found (or_intror2 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 181.13/181.43  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 181.13/181.43  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 181.13/181.43  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 181.13/181.43  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 181.13/181.43  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 181.13/181.43  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 181.13/181.43  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 181.13/181.43  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 181.13/181.43  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 181.13/181.43  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 181.13/181.43  Found a10:=(a1 V):((rel_s4 V) V)
% 181.13/181.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 181.13/181.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 181.13/181.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 181.13/181.43  Found (x3 (a1 V)) as proof of False
% 181.13/181.43  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 181.13/181.43  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 181.13/181.43  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 181.13/181.43  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 181.13/181.43  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 184.81/185.12  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 184.81/185.12  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 184.81/185.12  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 184.81/185.12  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 184.81/185.12  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 184.81/185.12  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 184.81/185.12  Found a10:=(a1 V):((rel_s4 V) V)
% 184.81/185.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 184.81/185.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 184.81/185.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 187.79/188.08  Found or_intror10:=(or_intror1 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 187.79/188.08  Found (or_intror1 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 187.79/188.08  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 187.79/188.08  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 187.79/188.08  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 187.79/188.08  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 187.79/188.08  Found a10:=(a1 V):((rel_s4 V) V)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 187.79/188.08  Found or_intror10:=(or_intror1 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 187.79/188.08  Found (or_intror1 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 187.79/188.08  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 187.79/188.08  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 187.79/188.08  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 187.79/188.08  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 187.79/188.08  Found a10:=(a1 V):((rel_s4 V) V)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 187.79/188.08  Found a10:=(a1 V):((rel_s4 V) V)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 187.79/188.08  Found (x3 (a1 V)) as proof of False
% 187.79/188.08  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 187.79/188.08  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 187.79/188.08  Found a10:=(a1 V):((rel_s4 V) V)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 187.79/188.08  Found (x3 (a1 V)) as proof of False
% 187.79/188.08  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 187.79/188.08  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 187.79/188.08  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 187.79/188.08  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 187.79/188.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 187.79/188.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 187.79/188.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 187.79/188.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 187.79/188.08  Found a10:=(a1 V):((rel_s4 V) V)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 187.79/188.08  Found (x5 (a1 V)) as proof of False
% 187.79/188.08  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 187.79/188.08  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 187.79/188.08  Found a10:=(a1 V):((rel_s4 V) V)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 187.79/188.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 187.79/188.08  Found (x5 (a1 V)) as proof of False
% 187.79/188.08  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 187.79/188.08  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 190.42/190.72  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 190.42/190.72  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 190.42/190.72  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 190.42/190.72  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 190.42/190.72  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 190.42/190.72  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 190.42/190.72  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found a10:=(a1 V):((rel_s4 V) V)
% 190.42/190.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 190.42/190.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 190.42/190.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 190.42/190.72  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 190.42/190.72  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.42/190.72  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 194.32/194.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 194.32/194.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 194.32/194.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 194.32/194.58  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 194.32/194.58  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 194.32/194.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 194.32/194.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 194.32/194.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 194.32/194.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 194.32/194.58  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 194.32/194.58  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 194.32/194.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 194.32/194.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 194.32/194.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 194.32/194.58  Found a10:=(a1 V):((rel_s4 V) V)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.32/194.58  Found a10:=(a1 V):((rel_s4 V) V)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.32/194.58  Found a10:=(a1 V):((rel_s4 V) V)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.32/194.58  Found a10:=(a1 V):((rel_s4 V) V)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.32/194.58  Found (x3 (a1 V)) as proof of False
% 194.32/194.58  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 194.32/194.58  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 194.32/194.58  Found a10:=(a1 V):((rel_s4 V) V)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.32/194.58  Found (x5 (a1 V)) as proof of False
% 194.32/194.58  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 194.32/194.58  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 194.32/194.58  Found a10:=(a1 V):((rel_s4 V) V)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.32/194.58  Found (x5 (a1 V)) as proof of False
% 194.32/194.58  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 194.32/194.58  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 194.32/194.58  Found a10:=(a1 V):((rel_s4 V) V)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.32/194.58  Found (x5 (a1 V)) as proof of False
% 194.32/194.58  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 194.32/194.58  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 194.32/194.58  Found a10:=(a1 V):((rel_s4 V) V)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.32/194.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.32/194.58  Found (x5 (a1 V)) as proof of False
% 194.32/194.58  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 199.79/200.08  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 199.79/200.08  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 199.79/200.08  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 199.79/200.08  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 199.79/200.08  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 199.79/200.08  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found a10:=(a1 V):((rel_s4 V) V)
% 199.79/200.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.79/200.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.79/200.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.79/200.08  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 199.79/200.08  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 199.79/200.08  Found or_introl20:=(or_introl2 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 199.79/200.08  Found (or_introl2 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.79/200.08  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 204.80/205.12  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 204.80/205.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 204.80/205.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 204.80/205.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 204.80/205.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 204.80/205.12  Found a10:=(a1 V):((rel_s4 V) V)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.80/205.12  Found (x5 (a1 V)) as proof of False
% 204.80/205.12  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 204.80/205.12  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 204.80/205.12  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 204.80/205.12  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 204.80/205.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 204.80/205.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 204.80/205.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 204.80/205.12  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 204.80/205.12  Found a10:=(a1 V):((rel_s4 V) V)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.80/205.12  Found (x5 (a1 V)) as proof of False
% 204.80/205.12  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 204.80/205.12  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 204.80/205.12  Found or_intror00:=(or_intror0 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 204.80/205.12  Found (or_intror0 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 204.80/205.12  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 204.80/205.12  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 204.80/205.12  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 204.80/205.12  Found x3:(((rel_s4 V) V00)->False)
% 204.80/205.12  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 204.80/205.12  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 204.80/205.12  Found (or_introl10 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 204.80/205.12  Found ((or_introl1 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 204.80/205.12  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 204.80/205.12  Found x3:(((rel_s4 V) V00)->False)
% 204.80/205.12  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 204.80/205.12  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 204.80/205.12  Found (or_introl10 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 204.80/205.12  Found ((or_introl1 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 204.80/205.12  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 204.80/205.12  Found a10:=(a1 V):((rel_s4 V) V)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.80/205.12  Found a10:=(a1 V):((rel_s4 V) V)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.80/205.12  Found a10:=(a1 V):((rel_s4 V) V)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.80/205.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found x3:(((rel_s4 V) V00)->False)
% 213.45/213.74  Instantiate: V00:=V1:fofType
% 213.45/213.74  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 213.45/213.74  Found (or_introl10 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 213.45/213.74  Found ((or_introl1 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 213.45/213.74  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 213.45/213.74  Found x3:(((rel_s4 V) V00)->False)
% 213.45/213.74  Instantiate: V00:=V1:fofType
% 213.45/213.74  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 213.45/213.74  Found (or_introl10 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 213.45/213.74  Found ((or_introl1 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 213.45/213.74  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found x2:((rel_s4 V0) V1)
% 213.45/213.74  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 213.45/213.74  Found x2 as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (x4 x2) as proof of False
% 213.45/213.74  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 213.45/213.74  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found a10:=(a1 V):((rel_s4 V) V)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.45/213.74  Found x4:((rel_s4 V0) V1)
% 213.45/213.74  Instantiate: V0:=V:fofType;V01:=V1:fofType
% 213.45/213.74  Found x4 as proof of ((rel_s4 V) V01)
% 213.45/213.74  Found (x6 x4) as proof of False
% 213.45/213.74  Found (fun (x6:(((rel_s4 V) V01)->False))=> (x6 x4)) as proof of False
% 213.45/213.74  Found (fun (x6:(((rel_s4 V) V01)->False))=> (x6 x4)) as proof of ((((rel_s4 V) V01)->False)->False)
% 213.45/213.74  Found x3:(((rel_s4 V) V00)->False)
% 213.45/213.74  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 213.45/213.74  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 213.45/213.74  Found (or_intror20 x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 213.45/213.74  Found ((or_intror2 (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 213.45/213.74  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 213.45/213.74  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 220.18/220.45  Found (or_comm_i00 (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 220.18/220.45  Found ((or_comm_i0 (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 220.18/220.45  Found (((or_comm_i (p V1)) (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 220.18/220.45  Found a10:=(a1 V):((rel_s4 V) V)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found a10:=(a1 V):((rel_s4 V) V)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found a10:=(a1 V):((rel_s4 V) V)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found a10:=(a1 V):((rel_s4 V) V)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found x2:((rel_s4 V0) V1)
% 220.18/220.45  Instantiate: V00:=V1:fofType
% 220.18/220.45  Found x2 as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found (x4 x2) as proof of False
% 220.18/220.45  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 220.18/220.45  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 220.18/220.45  Found or_intror00:=(or_intror0 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 220.18/220.45  Found (or_intror0 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 220.18/220.45  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 220.18/220.45  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 220.18/220.45  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 220.18/220.45  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 220.18/220.45  Found x4:((rel_s4 V0) V1)
% 220.18/220.45  Instantiate: V01:=V1:fofType
% 220.18/220.45  Found x4 as proof of ((rel_s4 V) V01)
% 220.18/220.45  Found (x6 x4) as proof of False
% 220.18/220.45  Found (fun (x6:(((rel_s4 V) V01)->False))=> (x6 x4)) as proof of False
% 220.18/220.45  Found (fun (x6:(((rel_s4 V) V01)->False))=> (x6 x4)) as proof of ((((rel_s4 V) V01)->False)->False)
% 220.18/220.45  Found x4:((rel_s4 V0) V1)
% 220.18/220.45  Instantiate: V01:=V1:fofType
% 220.18/220.45  Found x4 as proof of ((rel_s4 V) V01)
% 220.18/220.45  Found (x6 x4) as proof of False
% 220.18/220.45  Found (fun (x6:(((rel_s4 V) V01)->False))=> (x6 x4)) as proof of False
% 220.18/220.45  Found (fun (x6:(((rel_s4 V) V01)->False))=> (x6 x4)) as proof of ((((rel_s4 V) V01)->False)->False)
% 220.18/220.45  Found x3:(((rel_s4 V) V00)->False)
% 220.18/220.45  Instantiate: V00:=V1:fofType
% 220.18/220.45  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 220.18/220.45  Found (or_intror20 x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 220.18/220.45  Found ((or_intror2 (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 220.18/220.45  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 220.18/220.45  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 220.18/220.45  Found (or_comm_i00 (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 220.18/220.45  Found ((or_comm_i0 (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 220.18/220.45  Found (((or_comm_i (p V1)) (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 220.18/220.45  Found a10:=(a1 V):((rel_s4 V) V)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found a10:=(a1 V):((rel_s4 V) V)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 220.18/220.45  Found x2:((rel_s4 V0) V1)
% 229.89/230.16  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 229.89/230.16  Found x2 as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (x4 x2) as proof of False
% 229.89/230.16  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 229.89/230.16  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 229.89/230.16  Found a10:=(a1 V):((rel_s4 V) V)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found x2:((rel_s4 V0) V1)
% 229.89/230.16  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 229.89/230.16  Found x2 as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (x4 x2) as proof of False
% 229.89/230.16  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 229.89/230.16  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 229.89/230.16  Found a10:=(a1 V):((rel_s4 V) V)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found a10:=(a1 V):((rel_s4 V) V)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found a10:=(a1 V):((rel_s4 V) V)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found a10:=(a1 V):((rel_s4 V) V)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found x4:((rel_s4 V0) V1)
% 229.89/230.16  Instantiate: V01:=V1:fofType
% 229.89/230.16  Found x4 as proof of ((rel_s4 V) V01)
% 229.89/230.16  Found (x6 x4) as proof of False
% 229.89/230.16  Found (fun (x6:(((rel_s4 V) V01)->False))=> (x6 x4)) as proof of False
% 229.89/230.16  Found (fun (x6:(((rel_s4 V) V01)->False))=> (x6 x4)) as proof of ((((rel_s4 V) V01)->False)->False)
% 229.89/230.16  Found a10:=(a1 V):((rel_s4 V) V)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found a10:=(a1 V):((rel_s4 V) V)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found x2:((rel_s4 V0) V1)
% 229.89/230.16  Instantiate: V00:=V1:fofType
% 229.89/230.16  Found x2 as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (x4 x2) as proof of False
% 229.89/230.16  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 229.89/230.16  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 229.89/230.16  Found a10:=(a1 V):((rel_s4 V) V)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found x2:((rel_s4 V0) V1)
% 229.89/230.16  Instantiate: V00:=V1:fofType
% 229.89/230.16  Found x2 as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (x4 x2) as proof of False
% 229.89/230.16  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 229.89/230.16  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 229.89/230.16  Found a10:=(a1 V):((rel_s4 V) V)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found a10:=(a1 V):((rel_s4 V) V)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found a10:=(a1 V):((rel_s4 V) V)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found a10:=(a1 V):((rel_s4 V) V)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 229.89/230.16  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 229.89/230.16  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 229.89/230.16  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 229.89/230.16  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 229.89/230.16  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 229.89/230.16  Found a10:=(a1 V):((rel_s4 V) V)
% 229.89/230.16  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found a10:=(a1 W):((rel_s4 W) W)
% 237.51/237.84  Found (a1 W) as proof of ((rel_s4 W) V2)
% 237.51/237.84  Found (a1 W) as proof of ((rel_s4 W) V2)
% 237.51/237.84  Found (a1 W) as proof of ((rel_s4 W) V2)
% 237.51/237.84  Found (x7 (a1 W)) as proof of False
% 237.51/237.84  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 237.51/237.84  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 237.51/237.84  Found x3:(((rel_s4 V) V00)->False)
% 237.51/237.84  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 237.51/237.84  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 237.51/237.84  Found (or_introl20 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 237.51/237.84  Found ((or_introl2 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 237.51/237.84  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 237.51/237.84  Found a10:=(a1 V):((rel_s4 V) V)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found a10:=(a1 V):((rel_s4 V) V)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found or_intror20:=(or_intror2 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 237.51/237.84  Found (or_intror2 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 237.51/237.84  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 237.51/237.84  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 237.51/237.84  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 237.51/237.84  Found or_intror20:=(or_intror2 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 237.51/237.84  Found (or_intror2 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 237.51/237.84  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 237.51/237.84  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 237.51/237.84  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 237.51/237.84  Found a10:=(a1 V):((rel_s4 V) V)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found a10:=(a1 V):((rel_s4 V) V)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found a10:=(a1 V):((rel_s4 V) V)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.51/237.84  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 237.51/237.84  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 237.51/237.84  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 237.51/237.84  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 237.51/237.84  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 237.51/237.84  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 237.51/237.84  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 237.51/237.84  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 237.51/237.84  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 237.51/237.84  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 241.57/241.84  Found a10:=(a1 W):((rel_s4 W) W)
% 241.57/241.84  Found (a1 W) as proof of ((rel_s4 W) V2)
% 241.57/241.84  Found (a1 W) as proof of ((rel_s4 W) V2)
% 241.57/241.84  Found (a1 W) as proof of ((rel_s4 W) V2)
% 241.57/241.84  Found (x7 (a1 W)) as proof of False
% 241.57/241.84  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 241.57/241.84  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 241.57/241.84  Found a10:=(a1 W):((rel_s4 W) W)
% 241.57/241.84  Found (a1 W) as proof of ((rel_s4 W) V2)
% 241.57/241.84  Found (a1 W) as proof of ((rel_s4 W) V2)
% 241.57/241.84  Found (a1 W) as proof of ((rel_s4 W) V2)
% 241.57/241.84  Found (x7 (a1 W)) as proof of False
% 241.57/241.84  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 241.57/241.84  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 241.57/241.84  Found x3:(((rel_s4 V) V00)->False)
% 241.57/241.84  Instantiate: V00:=V1:fofType
% 241.57/241.84  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 241.57/241.84  Found (or_introl20 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 241.57/241.84  Found ((or_introl2 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 241.57/241.84  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 241.57/241.84  Found a10:=(a1 W):((rel_s4 W) W)
% 241.57/241.84  Found (a1 W) as proof of ((rel_s4 W) V2)
% 241.57/241.84  Found (a1 W) as proof of ((rel_s4 W) V2)
% 241.57/241.84  Found (a1 W) as proof of ((rel_s4 W) V2)
% 241.57/241.84  Found (x7 (a1 W)) as proof of False
% 241.57/241.84  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 241.57/241.84  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 241.57/241.84  Found x3:(((rel_s4 V) V00)->False)
% 241.57/241.84  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 241.57/241.84  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 241.57/241.84  Found (or_introl00 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 241.57/241.84  Found ((or_introl0 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 241.57/241.84  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 241.57/241.84  Found (fun (x5:((mnot (mbox_s4 p)) V01))=> (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 241.57/241.84  Found (fun (x5:((mnot (mbox_s4 p)) V01))=> (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3)) as proof of (((mnot (mbox_s4 p)) V01)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 241.57/241.84  Found ((or_ind20 ((or_introl (((rel_s4 V) V01)->False)) (p V1))) (fun (x5:((mnot (mbox_s4 p)) V01))=> (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3))) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 241.57/241.84  Found (((or_ind2 ((or (((rel_s4 V0) V1)->False)) (p V1))) ((or_introl (((rel_s4 V) V01)->False)) (p V1))) (fun (x5:((mnot (mbox_s4 p)) V01))=> (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3))) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 241.57/241.84  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot (mbox_s4 p)) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot (mbox_s4 p)) V01)) P) x5) x6) x4)) ((or (((rel_s4 V0) V1)->False)) (p V1))) ((or_introl (((rel_s4 V) V01)->False)) (p V1))) (fun (x5:((mnot (mbox_s4 p)) V01))=> (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3))) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 241.57/241.84  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V1)->False)->P)) (x6:(((mnot (mbox_s4 p)) V1)->P))=> ((((((or_ind (((rel_s4 V) V1)->False)) ((mnot (mbox_s4 p)) V1)) P) x5) x6) (x V1))) ((or (((rel_s4 V0) V1)->False)) (p V1))) ((or_introl (((rel_s4 V) V1)->False)) (p V1))) (fun (x5:((mnot (mbox_s4 p)) V1))=> (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3))) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 241.57/241.84  Found or_introl10:=(or_introl1 (p V2)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V2)))
% 241.57/241.84  Found (or_introl1 (p V2)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V2)->False)) (p V2)))
% 241.57/241.84  Found ((or_introl (((rel_s4 V) V01)->False)) (p V2)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V2)->False)) (p V2)))
% 241.57/241.84  Found ((or_introl (((rel_s4 V) V01)->False)) (p V2)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V2)->False)) (p V2)))
% 241.57/241.84  Found ((or_introl (((rel_s4 V) V01)->False)) (p V2)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V2)->False)) (p V2)))
% 246.45/246.77  Found ((or_introl (((rel_s4 V) V01)->False)) (p V2)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V2)->False)) (p V2)))
% 246.45/246.77  Found or_intror20:=(or_intror2 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 246.45/246.77  Found (or_intror2 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 246.45/246.77  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 246.45/246.77  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 246.45/246.77  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 246.45/246.77  Found a10:=(a1 V):((rel_s4 V) V)
% 246.45/246.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.45/246.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.45/246.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.45/246.77  Found a10:=(a1 V):((rel_s4 V) V)
% 246.45/246.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.45/246.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.45/246.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.45/246.77  Found (x3 (a1 V)) as proof of False
% 246.45/246.77  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 246.45/246.77  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 246.45/246.77  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 246.45/246.77  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 246.45/246.77  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 246.45/246.77  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 246.45/246.77  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 246.45/246.77  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 246.45/246.77  Found a10:=(a1 W):((rel_s4 W) W)
% 246.45/246.77  Found (a1 W) as proof of ((rel_s4 W) V2)
% 246.45/246.77  Found (a1 W) as proof of ((rel_s4 W) V2)
% 246.45/246.77  Found (a1 W) as proof of ((rel_s4 W) V2)
% 246.45/246.77  Found (x7 (a1 W)) as proof of False
% 246.45/246.77  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 246.45/246.77  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 246.45/246.77  Found a10:=(a1 W):((rel_s4 W) W)
% 246.45/246.77  Found (a1 W) as proof of ((rel_s4 W) V2)
% 246.45/246.77  Found (a1 W) as proof of ((rel_s4 W) V2)
% 246.45/246.77  Found (a1 W) as proof of ((rel_s4 W) V2)
% 246.45/246.77  Found (x7 (a1 W)) as proof of False
% 246.45/246.77  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 246.45/246.77  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 246.45/246.77  Found x2:((rel_s4 V0) V1)
% 246.45/246.77  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 246.45/246.77  Found x2 as proof of ((rel_s4 V) V00)
% 246.45/246.77  Found (x4 x2) as proof of False
% 246.45/246.77  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 246.45/246.77  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 246.45/246.77  Found x3:(((rel_s4 V) V00)->False)
% 246.45/246.77  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 246.45/246.77  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 246.45/246.77  Found (or_intror10 x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 246.45/246.77  Found ((or_intror1 (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 246.45/246.77  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 246.45/246.77  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 246.45/246.77  Found (or_comm_i10 (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 246.45/246.77  Found ((or_comm_i1 (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 246.45/246.77  Found (((or_comm_i (p V1)) (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 249.50/249.83  Found a10:=(a1 W):((rel_s4 W) W)
% 249.50/249.83  Found (a1 W) as proof of ((rel_s4 W) V2)
% 249.50/249.83  Found (a1 W) as proof of ((rel_s4 W) V2)
% 249.50/249.83  Found (a1 W) as proof of ((rel_s4 W) V2)
% 249.50/249.83  Found (x7 (a1 W)) as proof of False
% 249.50/249.83  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 249.50/249.83  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 249.50/249.83  Found x2:((rel_s4 V0) V1)
% 249.50/249.83  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 249.50/249.83  Found x2 as proof of ((rel_s4 V) V00)
% 249.50/249.83  Found (x4 x2) as proof of False
% 249.50/249.83  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 249.50/249.83  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 249.50/249.83  Found x3:(((rel_s4 V) V00)->False)
% 249.50/249.83  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 249.50/249.83  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 249.50/249.83  Found (or_intror10 x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 249.50/249.83  Found ((or_intror1 (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 249.50/249.83  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 249.50/249.83  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 249.50/249.83  Found (or_comm_i10 (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 249.50/249.83  Found ((or_comm_i1 (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 249.50/249.83  Found (((or_comm_i (p V1)) (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 249.50/249.83  Found x3:(((rel_s4 V) V00)->False)
% 249.50/249.83  Instantiate: V00:=V1:fofType
% 249.50/249.83  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 249.50/249.83  Found (or_introl00 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 249.50/249.83  Found ((or_introl0 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 249.50/249.83  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 249.50/249.83  Found (fun (x5:((mnot (mbox_s4 p)) V01))=> (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 249.50/249.83  Found (fun (x5:((mnot (mbox_s4 p)) V01))=> (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3)) as proof of (((mnot (mbox_s4 p)) V01)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 249.50/249.83  Found ((or_ind20 ((or_introl (((rel_s4 V) V01)->False)) (p V1))) (fun (x5:((mnot (mbox_s4 p)) V01))=> (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3))) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 249.50/249.83  Found (((or_ind2 ((or (((rel_s4 V0) V1)->False)) (p V1))) ((or_introl (((rel_s4 V) V01)->False)) (p V1))) (fun (x5:((mnot (mbox_s4 p)) V01))=> (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3))) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 249.50/249.83  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot (mbox_s4 p)) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot (mbox_s4 p)) V01)) P) x5) x6) x4)) ((or (((rel_s4 V0) V1)->False)) (p V1))) ((or_introl (((rel_s4 V) V01)->False)) (p V1))) (fun (x5:((mnot (mbox_s4 p)) V01))=> (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3))) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 249.50/249.83  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V1)->False)->P)) (x6:(((mnot (mbox_s4 p)) V1)->P))=> ((((((or_ind (((rel_s4 V) V1)->False)) ((mnot (mbox_s4 p)) V1)) P) x5) x6) (x V1))) ((or (((rel_s4 V0) V1)->False)) (p V1))) ((or_introl (((rel_s4 V) V1)->False)) (p V1))) (fun (x5:((mnot (mbox_s4 p)) V1))=> (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3))) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 249.50/249.83  Found or_introl10:=(or_introl1 (p V2)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V2)))
% 249.50/249.83  Found (or_introl1 (p V2)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V2)->False)) (p V2)))
% 249.50/249.83  Found ((or_introl (((rel_s4 V) V01)->False)) (p V2)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V2)->False)) (p V2)))
% 249.50/249.83  Found ((or_introl (((rel_s4 V) V01)->False)) (p V2)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V2)->False)) (p V2)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V2)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V2)->False)) (p V2)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V2)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V2)->False)) (p V2)))
% 252.73/253.01  Found a10:=(a1 V):((rel_s4 V) V)
% 252.73/253.01  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.73/253.01  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.73/253.01  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.73/253.01  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 252.73/253.01  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 252.73/253.01  Found a10:=(a1 W):((rel_s4 W) W)
% 252.73/253.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.73/253.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.73/253.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.73/253.01  Found (x5 (a1 W)) as proof of False
% 252.73/253.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 252.73/253.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 252.73/253.01  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 252.73/253.01  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 252.73/253.01  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 252.73/253.01  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 252.73/253.01  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 252.73/253.01  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 252.73/253.01  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 252.73/253.01  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 252.73/253.01  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 252.73/253.01  Found a10:=(a1 V):((rel_s4 V) V)
% 252.73/253.01  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.73/253.01  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.73/253.01  Found (a1 V) as proof of ((rel_s4 V) V00)
% 255.75/256.03  Found (x3 (a1 V)) as proof of False
% 255.75/256.03  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 255.75/256.03  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 255.75/256.03  Found a10:=(a1 V):((rel_s4 V) V)
% 255.75/256.03  Found (a1 V) as proof of ((rel_s4 V) V00)
% 255.75/256.03  Found (a1 V) as proof of ((rel_s4 V) V00)
% 255.75/256.03  Found (a1 V) as proof of ((rel_s4 V) V00)
% 255.75/256.03  Found a10:=(a1 V):((rel_s4 V) V)
% 255.75/256.03  Found (a1 V) as proof of ((rel_s4 V) V00)
% 255.75/256.03  Found (a1 V) as proof of ((rel_s4 V) V00)
% 255.75/256.03  Found (a1 V) as proof of ((rel_s4 V) V00)
% 255.75/256.03  Found or_intror20:=(or_intror2 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 255.75/256.03  Found (or_intror2 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 255.75/256.03  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 255.75/256.03  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 255.75/256.03  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 255.75/256.03  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 255.75/256.03  Found a10:=(a1 W):((rel_s4 W) W)
% 255.75/256.03  Found (a1 W) as proof of ((rel_s4 W) V2)
% 255.75/256.03  Found (a1 W) as proof of ((rel_s4 W) V2)
% 255.75/256.03  Found (a1 W) as proof of ((rel_s4 W) V2)
% 255.75/256.03  Found (x7 (a1 W)) as proof of False
% 255.75/256.03  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 255.75/256.03  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 255.75/256.03  Found x2:((rel_s4 V0) V1)
% 255.75/256.03  Instantiate: V00:=V1:fofType
% 255.75/256.03  Found x2 as proof of ((rel_s4 V) V00)
% 255.75/256.03  Found (x4 x2) as proof of False
% 255.75/256.03  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 255.75/256.03  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 255.75/256.03  Found x3:(((rel_s4 V) V00)->False)
% 255.75/256.03  Instantiate: V00:=V1:fofType
% 255.75/256.03  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 255.75/256.03  Found (or_intror10 x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 255.75/256.03  Found ((or_intror1 (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 255.75/256.03  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 255.75/256.03  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 255.75/256.03  Found (or_comm_i10 (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 255.75/256.03  Found ((or_comm_i1 (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 255.75/256.03  Found (((or_comm_i (p V1)) (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 255.75/256.03  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 255.75/256.03  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 255.75/256.03  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 255.75/256.03  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 255.75/256.03  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 255.75/256.03  Found x2:((rel_s4 V0) V1)
% 255.75/256.03  Instantiate: V00:=V1:fofType
% 255.75/256.03  Found x2 as proof of ((rel_s4 V) V00)
% 255.75/256.03  Found (x4 x2) as proof of False
% 255.75/256.03  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 255.75/256.03  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 255.75/256.03  Found x3:(((rel_s4 V) V00)->False)
% 255.75/256.03  Instantiate: V00:=V1:fofType
% 255.75/256.03  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 255.75/256.03  Found (or_intror10 x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 255.75/256.03  Found ((or_intror1 (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 260.97/261.29  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 260.97/261.29  Found (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3) as proof of ((or (p V1)) (((rel_s4 V0) V1)->False))
% 260.97/261.29  Found (or_comm_i10 (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 260.97/261.29  Found ((or_comm_i1 (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 260.97/261.29  Found (((or_comm_i (p V1)) (((rel_s4 V0) V1)->False)) (((or_intror (p V1)) (((rel_s4 V0) V1)->False)) x3)) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 260.97/261.29  Found a10:=(a1 V):((rel_s4 V) V)
% 260.97/261.29  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.97/261.29  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.97/261.29  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.97/261.29  Found a10:=(a1 W):((rel_s4 W) W)
% 260.97/261.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.97/261.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.97/261.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.97/261.29  Found (x5 (a1 W)) as proof of False
% 260.97/261.29  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 260.97/261.29  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 260.97/261.29  Found a10:=(a1 W):((rel_s4 W) W)
% 260.97/261.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.97/261.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.97/261.29  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.97/261.29  Found (x5 (a1 W)) as proof of False
% 260.97/261.29  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 260.97/261.29  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 260.97/261.29  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 260.97/261.29  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 260.97/261.29  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 260.97/261.29  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 260.97/261.29  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 260.97/261.29  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 260.97/261.29  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 260.97/261.29  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 260.97/261.29  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 260.97/261.29  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 260.97/261.29  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 260.97/261.29  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 260.97/261.29  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 260.97/261.29  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 260.97/261.29  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 260.97/261.29  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 260.97/261.29  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 260.97/261.29  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 260.97/261.29  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 260.97/261.29  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 260.97/261.29  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.22  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.22  Found x2:((rel_s4 V0) V1)
% 265.93/266.22  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 265.93/266.22  Found x2 as proof of ((rel_s4 V) V00)
% 265.93/266.22  Found (x4 x2) as proof of False
% 265.93/266.22  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 265.93/266.22  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 265.93/266.22  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 265.93/266.22  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 265.93/266.22  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 265.93/266.22  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 265.93/266.22  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 265.93/266.22  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.93/266.22  Found a10:=(a1 W):((rel_s4 W) W)
% 265.93/266.22  Found (a1 W) as proof of ((rel_s4 W) V1)
% 265.93/266.22  Found (a1 W) as proof of ((rel_s4 W) V1)
% 265.93/266.22  Found (a1 W) as proof of ((rel_s4 W) V1)
% 265.93/266.22  Found (x5 (a1 W)) as proof of False
% 265.93/266.22  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 269.89/270.25  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 269.89/270.25  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 269.89/270.25  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 269.89/270.25  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found a10:=(a1 V):((rel_s4 V) V)
% 269.89/270.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 269.89/270.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 269.89/270.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 269.89/270.25  Found (x5 (a1 V)) as proof of False
% 269.89/270.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 269.89/270.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 269.89/270.25  Found a10:=(a1 V):((rel_s4 V) V)
% 269.89/270.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 269.89/270.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 269.89/270.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 269.89/270.25  Found (x5 (a1 V)) as proof of False
% 269.89/270.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 269.89/270.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 269.89/270.25  Found a10:=(a1 V):((rel_s4 V) V)
% 269.89/270.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 269.89/270.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 269.89/270.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 269.89/270.25  Found x2:((rel_s4 V0) V1)
% 269.89/270.25  Instantiate: V00:=V1:fofType
% 269.89/270.25  Found x2 as proof of ((rel_s4 V) V00)
% 269.89/270.25  Found (x4 x2) as proof of False
% 269.89/270.25  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of False
% 269.89/270.25  Found (fun (x4:(((rel_s4 V) V00)->False))=> (x4 x2)) as proof of ((((rel_s4 V) V00)->False)->False)
% 269.89/270.25  Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (p V1)))
% 269.89/270.25  Found (or_introl0 (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V00)->False)) (p V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 269.89/270.25  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 269.89/270.25  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 275.26/275.58  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 275.26/275.58  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 275.26/275.58  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 275.26/275.58  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 275.26/275.58  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 275.26/275.58  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 275.26/275.58  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 275.26/275.58  Found a10:=(a1 V):((rel_s4 V) V)
% 275.26/275.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.26/275.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.26/275.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.26/275.58  Found (x5 (a1 V)) as proof of False
% 275.26/275.58  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 275.26/275.58  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 275.26/275.58  Found a10:=(a1 V):((rel_s4 V) V)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.67/280.97  Found (x5 (a1 V)) as proof of False
% 280.67/280.97  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 280.67/280.97  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 280.67/280.97  Found a10:=(a1 V):((rel_s4 V) V)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.67/280.97  Found (x5 (a1 V)) as proof of False
% 280.67/280.97  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 280.67/280.97  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 280.67/280.97  Found a10:=(a1 V):((rel_s4 V) V)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.67/280.97  Found (x5 (a1 V)) as proof of False
% 280.67/280.97  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 280.67/280.97  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 280.67/280.97  Found a10:=(a1 V):((rel_s4 V) V)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.67/280.97  Found x3:(((rel_s4 V) V00)->False)
% 280.67/280.97  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 280.67/280.97  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 280.67/280.97  Found (or_introl00 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 280.67/280.97  Found ((or_introl0 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 280.67/280.97  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 280.67/280.97  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 280.67/280.97  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 280.67/280.97  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 280.67/280.97  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 280.67/280.97  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 280.67/280.97  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 280.67/280.97  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 280.67/280.97  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 280.67/280.97  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 280.67/280.97  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 280.67/280.97  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 280.67/280.97  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 280.67/280.97  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 280.67/280.97  Found a10:=(a1 V):((rel_s4 V) V)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.67/280.97  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.67/280.97  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 280.67/280.97  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 280.67/280.97  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 280.67/280.97  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 280.67/280.97  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 280.67/280.97  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V00) V1)->False)) (p V1)))
% 284.37/284.69  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 284.37/284.69  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found or_intror00:=(or_intror0 (((rel_s4 V) V00)->False)):((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V) V00)->False)))
% 284.37/284.69  Found (or_intror0 (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 284.37/284.69  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 284.37/284.69  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 284.37/284.69  Found ((or_intror (p V1)) (((rel_s4 V) V00)->False)) as proof of ((((rel_s4 V) V00)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 284.37/284.69  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 284.37/284.69  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 284.37/284.69  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found a10:=(a1 V):((rel_s4 V) V)
% 284.37/284.69  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.37/284.69  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.37/284.69  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.37/284.69  Found a10:=(a1 V):((rel_s4 V) V)
% 284.37/284.69  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.37/284.69  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.37/284.69  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.37/284.69  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 284.37/284.69  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 284.37/284.69  Found or_intror10:=(or_intror1 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 284.37/284.69  Found (or_intror1 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 284.37/284.69  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 284.37/284.69  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 286.77/287.07  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 286.77/287.07  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 286.77/287.07  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 286.77/287.07  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 286.77/287.07  Found or_intror10:=(or_intror1 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 286.77/287.07  Found (or_intror1 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found or_intror10:=(or_intror1 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 286.77/287.07  Found (or_intror1 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found or_intror10:=(or_intror1 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 286.77/287.07  Found (or_intror1 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 286.77/287.07  Found a10:=(a1 V):((rel_s4 V) V)
% 286.77/287.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 286.77/287.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 286.77/287.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 286.77/287.07  Found (x5 (a1 V)) as proof of False
% 286.77/287.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 286.77/287.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 286.77/287.07  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 286.77/287.07  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 286.77/287.07  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 286.77/287.07  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 286.77/287.07  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 286.77/287.07  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 286.77/287.07  Found a10:=(a1 V):((rel_s4 V) V)
% 286.77/287.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 286.77/287.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 286.77/287.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 294.34/294.68  Found (x5 (a1 V)) as proof of False
% 294.34/294.68  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 294.34/294.68  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 294.34/294.68  Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 V) V01)->False)->((or (((rel_s4 V) V01)->False)) (p V1)))
% 294.34/294.68  Found (or_introl1 (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 294.34/294.68  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 294.34/294.68  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 294.34/294.68  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 294.34/294.68  Found ((or_introl (((rel_s4 V) V01)->False)) (p V1)) as proof of ((((rel_s4 V) V01)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 294.34/294.68  Found x3:(((rel_s4 V) V00)->False)
% 294.34/294.68  Instantiate: V00:=V1:fofType
% 294.34/294.68  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 294.34/294.68  Found (or_introl00 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 294.34/294.68  Found ((or_introl0 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 294.34/294.68  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 294.34/294.68  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 294.34/294.68  Found a10:=(a1 V):((rel_s4 V) V)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 294.34/294.68  Found a10:=(a1 V):((rel_s4 V) V)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 294.34/294.68  Found x3:(((rel_s4 V) V00)->False)
% 294.34/294.68  Instantiate: V0:=V:fofType;V00:=V1:fofType
% 294.34/294.68  Found x3 as proof of (((rel_s4 V0) V1)->False)
% 294.34/294.68  Found (or_introl00 x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 294.34/294.68  Found ((or_introl0 (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 294.34/294.68  Found (((or_introl (((rel_s4 V0) V1)->False)) (p V1)) x3) as proof of ((or (((rel_s4 V0) V1)->False)) (p V1))
% 294.34/294.68  Found a10:=(a1 V):((rel_s4 V) V)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 294.34/294.68  Found a10:=(a1 V):((rel_s4 V) V)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 294.34/294.68  Found a10:=(a1 V):((rel_s4 V) V)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 294.34/294.68  Found a10:=(a1 V):((rel_s4 V) V)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 294.34/294.68  Found a10:=(a1 V):((rel_s4 V) V)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 294.34/294.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 294.34/294.68  Found or_intror10:=(or_intror1 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 294.34/294.68  Found (or_intror1 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 294.34/294.68  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 294.34/294.68  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 294.34/294.68  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 294.34/294.68  Found or_intror10:=(or_intror1 (((rel_s4 V) V01)->False)):((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V) V01)->False)))
% 294.34/294.68  Found (or_intror1 (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 294.34/294.68  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->False)->((or (p V1)) (((rel_s4 V0) V1)->False)))
% 294.34/294.68  Found ((or_intror (p V1)) (((rel_s4 V) V01)->False)) as proof of ((((rel_s4 V) V01)->F
%------------------------------------------------------------------------------