%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO571^7 : TPTP v7.5.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Tue Mar 29 00:52:07 EDT 2022

% Result   : Timeout 285.88s 286.22s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYO571^7 : TPTP v7.5.0. Released v5.5.0.
% 0.06/0.12  % Command    : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32  % Computer   : n022.cluster.edu
% 0.12/0.32  % Model      : x86_64 x86_64
% 0.12/0.32  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % RAMPerCPU  : 8042.1875MB
% 0.12/0.32  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % DateTime   : Sun Mar 13 21:33:12 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34  Python 2.7.5
% 0.38/0.61  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.38/0.61  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL015^0.ax, trying next directory
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x2b466f404cb0>, <kernel.Type object at 0x2b466f404b48>) of role type named mu_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring mu:Type
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x2b466f404d88>, <kernel.DependentProduct object at 0x2b466f404cb0>) of role type named qmltpeq_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring qmltpeq:(mu->(mu->(fofType->Prop)))
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x2b466f404878>, <kernel.DependentProduct object at 0x2b466f404518>) of role type named meq_prop_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.38/0.61  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.38/0.61  Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x2b466f4047a0>, <kernel.DependentProduct object at 0x2b466f4047e8>) of role type named mnot_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.38/0.61  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.38/0.61  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.38/0.61  Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x2b466f4047e8>, <kernel.DependentProduct object at 0x2b466f4041b8>) of role type named mor_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.38/0.61  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.38/0.61  Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x2b466f4041b8>, <kernel.DependentProduct object at 0x2b466f404440>) of role type named mbox_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61  FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.38/0.61  A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.38/0.61  Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x2b466f404440>, <kernel.DependentProduct object at 0x2b466f4048c0>) of role type named mforall_prop_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.38/0.61  FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.38/0.61  A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.38/0.61  Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.38/0.62  FOF formula (<kernel.Constant object at 0x2b466f404878>, <kernel.DependentProduct object at 0x2b466f404098>) of role type named mtrue_type
% 0.38/0.62  Using role type
% 0.38/0.62  Declaring mtrue:(fofType->Prop)
% 0.38/0.62  FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.38/0.62  A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.38/0.62  Defined: mtrue:=(fun (W:fofType)=> True)
% 0.38/0.62  FOF formula (<kernel.Constant object at 0x2b466f404098>, <kernel.DependentProduct object at 0x2b466f404200>) of role type named mfalse_type
% 0.38/0.62  Using role type
% 0.38/0.62  Declaring mfalse:(fofType->Prop)
% 0.38/0.62  FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.38/0.62  A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.38/0.62  Defined: mfalse:=(mnot mtrue)
% 0.38/0.62  FOF formula (<kernel.Constant object at 0x2b466f404440>, <kernel.DependentProduct object at 0x2b466f4043b0>) of role type named mand_type
% 0.38/0.62  Using role type
% 0.38/0.62  Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62  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
% 0.38/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.38/0.62  Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.38/0.62  FOF formula (<kernel.Constant object at 0x2b466f4043b0>, <kernel.DependentProduct object at 0x2b466f4041b8>) of role type named mimplies_type
% 0.38/0.62  Using role type
% 0.38/0.62  Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62  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
% 0.38/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.38/0.62  Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.38/0.62  FOF formula (<kernel.Constant object at 0x2b466f4041b8>, <kernel.DependentProduct object at 0x2b466f404170>) of role type named mimplied_type
% 0.38/0.62  Using role type
% 0.38/0.62  Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.38/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.38/0.62  Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.38/0.62  FOF formula (<kernel.Constant object at 0x2b466f404170>, <kernel.DependentProduct object at 0x2b466f404128>) of role type named mequiv_type
% 0.38/0.62  Using role type
% 0.38/0.62  Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.38/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.38/0.62  Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.38/0.62  FOF formula (<kernel.Constant object at 0x2b466f404098>, <kernel.DependentProduct object at 0x1816908>) of role type named mxor_type
% 0.38/0.62  Using role type
% 0.38/0.62  Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.38/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.38/0.63  Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.38/0.63  FOF formula (<kernel.Constant object at 0x2b466f404098>, <kernel.DependentProduct object at 0x1816878>) of role type named mdia_type
% 0.38/0.63  Using role type
% 0.38/0.63  Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.63  FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.38/0.63  A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.38/0.63  Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.38/0.63  FOF formula (<kernel.Constant object at 0x1816878>, <kernel.DependentProduct object at 0x2b4676ed7c20>) of role type named exists_in_world_type
% 0.38/0.63  Using role type
% 0.38/0.63  Declaring exists_in_world:(mu->(fofType->Prop))
% 0.38/0.63  FOF formula (forall (V:fofType), ((ex mu) (fun (X:mu)=> ((exists_in_world X) V)))) of role axiom named nonempty_ax
% 0.38/0.63  A new axiom: (forall (V:fofType), ((ex mu) (fun (X:mu)=> ((exists_in_world X) V))))
% 0.38/0.63  FOF formula (<kernel.Constant object at 0x1816878>, <kernel.DependentProduct object at 0x2b4676ed7710>) of role type named mforall_ind_type
% 0.38/0.63  Using role type
% 0.38/0.63  Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.38/0.63  FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), (((exists_in_world X) W)->((Phi X) W))))) of role definition named mforall_ind
% 0.38/0.63  A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), (((exists_in_world X) W)->((Phi X) W)))))
% 0.38/0.63  Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), (((exists_in_world X) W)->((Phi X) W))))
% 0.38/0.63  FOF formula (<kernel.Constant object at 0x2b4676ed7a70>, <kernel.DependentProduct object at 0x157f5f0>) of role type named mexists_ind_type
% 0.38/0.63  Using role type
% 0.38/0.63  Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.38/0.63  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
% 0.38/0.63  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)))))))
% 0.38/0.63  Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.38/0.63  FOF formula (<kernel.Constant object at 0x2b4676ed79e0>, <kernel.DependentProduct object at 0x2b466f4021b8>) of role type named mexists_prop_type
% 0.38/0.63  Using role type
% 0.38/0.63  Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.38/0.63  FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.38/0.63  A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.38/0.63  Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.38/0.63  FOF formula (<kernel.Constant object at 0x157f560>, <kernel.DependentProduct object at 0x2b466f402368>) of role type named mreflexive_type
% 0.38/0.63  Using role type
% 0.38/0.63  Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.38/0.63  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.38/0.63  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.47/0.64  Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.47/0.64  FOF formula (<kernel.Constant object at 0x157f560>, <kernel.DependentProduct object at 0x2b466f402440>) of role type named msymmetric_type
% 0.47/0.64  Using role type
% 0.47/0.64  Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.47/0.64  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.47/0.64  Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.47/0.64  FOF formula (<kernel.Constant object at 0x157f560>, <kernel.DependentProduct object at 0x2b466f402368>) of role type named mserial_type
% 0.47/0.64  Using role type
% 0.47/0.64  Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.47/0.64  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.47/0.64  Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.47/0.64  FOF formula (<kernel.Constant object at 0x2b466f402368>, <kernel.DependentProduct object at 0x2b466f4022d8>) of role type named mtransitive_type
% 0.47/0.64  Using role type
% 0.47/0.64  Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.47/0.64  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.47/0.64  Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.47/0.64  FOF formula (<kernel.Constant object at 0x2b466f4022d8>, <kernel.DependentProduct object at 0x2b466f402170>) of role type named meuclidean_type
% 0.47/0.64  Using role type
% 0.47/0.64  Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.47/0.64  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.47/0.64  Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.47/0.64  FOF formula (<kernel.Constant object at 0x2b466f402170>, <kernel.DependentProduct object at 0x2b466f4023b0>) of role type named mpartially_functional_type
% 0.47/0.64  Using role type
% 0.47/0.64  Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.47/0.64  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.47/0.64  Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.47/0.64  FOF formula (<kernel.Constant object at 0x2b466f4023b0>, <kernel.DependentProduct object at 0x2b466f402908>) of role type named mfunctional_type
% 0.47/0.65  Using role type
% 0.47/0.65  Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65  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
% 0.47/0.65  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.47/0.65  Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.47/0.65  FOF formula (<kernel.Constant object at 0x2b466f402908>, <kernel.DependentProduct object at 0x2b466f402998>) of role type named mweakly_dense_type
% 0.47/0.65  Using role type
% 0.47/0.65  Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.47/0.65  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.47/0.65  Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.47/0.65  FOF formula (<kernel.Constant object at 0x2b466f402998>, <kernel.DependentProduct object at 0x2b466f402170>) of role type named mweakly_connected_type
% 0.47/0.65  Using role type
% 0.47/0.65  Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.47/0.65  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.47/0.65  Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.47/0.65  FOF formula (<kernel.Constant object at 0x2b466f402170>, <kernel.DependentProduct object at 0x2b466f402d88>) of role type named mweakly_directed_type
% 0.47/0.65  Using role type
% 0.47/0.65  Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.47/0.65  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.47/0.65  Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.47/0.65  FOF formula (<kernel.Constant object at 0x2b466f402128>, <kernel.DependentProduct object at 0x2b466f402c20>) of role type named mvalid_type
% 0.47/0.65  Using role type
% 0.47/0.65  Declaring mvalid:((fofType->Prop)->Prop)
% 0.47/0.65  FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.47/0.66  A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.47/0.66  Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.47/0.66  FOF formula (<kernel.Constant object at 0x2b466f402170>, <kernel.DependentProduct object at 0x2b466f4028c0>) of role type named msatisfiable_type
% 0.47/0.66  Using role type
% 0.47/0.66  Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.47/0.66  FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.47/0.66  A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.47/0.66  Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.47/0.66  FOF formula (<kernel.Constant object at 0x2b466f402c20>, <kernel.DependentProduct object at 0x2b466f4029e0>) of role type named mcountersatisfiable_type
% 0.47/0.66  Using role type
% 0.47/0.66  Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.47/0.66  FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.47/0.66  A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.47/0.66  Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.47/0.66  FOF formula (<kernel.Constant object at 0x2b466f402170>, <kernel.DependentProduct object at 0x2b466f402d40>) of role type named minvalid_type
% 0.47/0.66  Using role type
% 0.47/0.66  Declaring minvalid:((fofType->Prop)->Prop)
% 0.47/0.66  FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.47/0.66  A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.47/0.66  Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.47/0.66  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^5.ax, trying next directory
% 0.47/0.66  FOF formula (<kernel.Constant object at 0x2b466f404f38>, <kernel.DependentProduct object at 0x2b466f404d40>) of role type named rel_s4_type
% 0.47/0.66  Using role type
% 0.47/0.66  Declaring rel_s4:(fofType->(fofType->Prop))
% 0.47/0.66  FOF formula (<kernel.Constant object at 0x2b466f404e18>, <kernel.DependentProduct object at 0x2b466f404ea8>) of role type named mbox_s4_type
% 0.47/0.66  Using role type
% 0.47/0.66  Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.47/0.66  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
% 0.47/0.66  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)))))
% 0.47/0.66  Defined: mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))
% 0.47/0.66  FOF formula (<kernel.Constant object at 0x2b466f404ea8>, <kernel.DependentProduct object at 0x2b466f404998>) of role type named mdia_s4_type
% 0.47/0.66  Using role type
% 0.47/0.66  Declaring mdia_s4:((fofType->Prop)->(fofType->Prop))
% 0.47/0.66  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))) of role definition named mdia_s4
% 0.47/0.66  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))))
% 0.47/0.66  Defined: mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))
% 0.47/0.66  FOF formula (mreflexive rel_s4) of role axiom named a1
% 0.47/0.66  A new axiom: (mreflexive rel_s4)
% 0.47/0.66  FOF formula (mtransitive rel_s4) of role axiom named a2
% 0.47/0.66  A new axiom: (mtransitive rel_s4)
% 0.47/0.66  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL015^1.ax, trying next directory
% 0.47/0.66  FOF formula (forall (X:mu) (V:fofType) (W:fofType), (((and ((exists_in_world X) V)) ((rel_s4 V) W))->((exists_in_world X) W))) of role axiom named cumulative_ax
% 0.47/0.66  A new axiom: (forall (X:mu) (V:fofType) (W:fofType), (((and ((exists_in_world X) V)) ((rel_s4 V) W))->((exists_in_world X) W)))
% 0.47/0.66  FOF formula (<kernel.Constant object at 0x157c638>, <kernel.Constant object at 0x157ca28>) of role type named a_type
% 0.47/0.66  Using role type
% 0.47/0.66  Declaring a:mu
% 0.47/0.66  FOF formula (forall (V:fofType), ((exists_in_world a) V)) of role axiom named existence_of_a_ax
% 0.47/0.66  A new axiom: (forall (V:fofType), ((exists_in_world a) V))
% 0.47/0.66  FOF formula (mvalid (mexists_ind (fun (X:mu)=> (mbox_s4 ((qmltpeq X) a))))) of role conjecture named con
% 0.47/0.66  Conjecture to prove = (mvalid (mexists_ind (fun (X:mu)=> (mbox_s4 ((qmltpeq X) a))))):Prop
% 0.47/0.66  Parameter fofType_DUMMY:fofType.
% 0.47/0.66  We need to prove ['(mvalid (mexists_ind (fun (X:mu)=> (mbox_s4 ((qmltpeq X) a)))))']
% 0.47/0.66  Parameter mu:Type.
% 0.47/0.66  Parameter fofType:Type.
% 0.47/0.66  Parameter qmltpeq:(mu->(mu->(fofType->Prop))).
% 0.47/0.66  Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66  Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.66  Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66  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))).
% 0.47/0.66  Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.66  Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.47/0.66  Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.47/0.66  Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66  Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66  Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66  Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66  Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66  Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66  Parameter exists_in_world:(mu->(fofType->Prop)).
% 0.47/0.66  Axiom nonempty_ax:(forall (V:fofType), ((ex mu) (fun (X:mu)=> ((exists_in_world X) V)))).
% 0.47/0.66  Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), (((exists_in_world X) W)->((Phi X) W)))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.66  Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.66  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)).
% 0.47/0.66  Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.66  Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.66  Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.66  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).
% 0.47/0.66  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).
% 1.65/1.83  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).
% 1.65/1.83  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).
% 1.65/1.83  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).
% 1.65/1.83  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).
% 1.65/1.83  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).
% 1.65/1.83  Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 1.65/1.83  Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 1.65/1.83  Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 1.65/1.83  Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 1.65/1.83  Parameter rel_s4:(fofType->(fofType->Prop)).
% 1.65/1.83  Definition mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 1.65/1.83  Definition mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 1.65/1.83  Axiom a1:(mreflexive rel_s4).
% 1.65/1.83  Axiom a2:(mtransitive rel_s4).
% 1.65/1.83  Axiom cumulative_ax:(forall (X:mu) (V:fofType) (W:fofType), (((and ((exists_in_world X) V)) ((rel_s4 V) W))->((exists_in_world X) W))).
% 1.65/1.83  Parameter a:mu.
% 1.65/1.83  Axiom existence_of_a_ax:(forall (V:fofType), ((exists_in_world a) V)).
% 1.65/1.83  Trying to prove (mvalid (mexists_ind (fun (X:mu)=> (mbox_s4 ((qmltpeq X) a)))))
% 1.65/1.83  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 1.65/1.83  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 1.65/1.83  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 1.65/1.83  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 3.98/4.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X0) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 11.40/11.62  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 13.35/13.53  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 16.54/16.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 20.33/20.57  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 22.87/23.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 34.40/34.64  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X1) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 54.50/54.69  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 54.50/54.69  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 57.93/58.13  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 59.76/59.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 61.92/62.14  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 61.92/62.14  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 64.69/64.95  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 66.35/66.61  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 69.43/69.67  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 69.43/69.67  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 70.76/70.96  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 74.50/74.74  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 78.82/79.04  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 78.82/79.04  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 82.20/82.45  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 84.27/84.49  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 89.83/90.06  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 89.83/90.06  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 91.86/92.10  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 93.66/93.90  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 99.72/99.99  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 99.72/99.99  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 109.16/109.40  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 114.10/114.39  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 115.15/115.42  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 115.15/115.42  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 118.61/118.86  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 135.83/136.11  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 152.48/152.75  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 152.48/152.75  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 169.31/169.63  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 191.85/192.19  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 196.41/196.68  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 196.41/196.68  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X2) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 265.81/266.17  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 265.81/266.17  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 272.66/272.97  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 281.59/281.92  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 281.59/281.92  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 283.41/283.77  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 285.88/286.22  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 288.37/288.73  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 288.37/288.73  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 290.71/291.03  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 295.07/295.41  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3) W)
% 298.79/299.15  Found existence_of_a_ax0:=(existence_of_a_ax W):((exists_in_world a) W)
% 298.79/299.15  Found (existence_of_a_ax W) as proof of ((exists_in_world X3)
%------------------------------------------------------------------------------