TSTP Solution File: SYO062^4.002 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO062^4.002 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:50:32 EDT 2022
% Result : Timeout 296.04s 296.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYO062^4.002 : TPTP v7.5.0. Released v4.0.0.
% 0.00/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % RAMPerCPU : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % DateTime : Fri Mar 11 11:20:32 EST 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.31 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.16/0.32 Python 2.7.5
% 0.17/0.55 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.17/0.55 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL010^0.ax, trying next directory
% 0.17/0.55 FOF formula (<kernel.Constant object at 0x2b3e05ef40e0>, <kernel.DependentProduct object at 0x2b3e05ef4c68>) of role type named irel_type
% 0.17/0.55 Using role type
% 0.17/0.55 Declaring irel:(fofType->(fofType->Prop))
% 0.17/0.55 FOF formula (forall (X:fofType), ((irel X) X)) of role axiom named refl_axiom
% 0.17/0.55 A new axiom: (forall (X:fofType), ((irel X) X))
% 0.17/0.55 FOF formula (forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z))) of role axiom named trans_axiom
% 0.17/0.55 A new axiom: (forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z)))
% 0.17/0.55 FOF formula (<kernel.Constant object at 0x2b3e05ef4098>, <kernel.DependentProduct object at 0x2b3e05ef4f80>) of role type named mnot_decl_type
% 0.17/0.55 Using role type
% 0.17/0.55 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.17/0.55 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))) of role definition named mnot
% 0.17/0.55 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)))
% 0.17/0.55 Defined: mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))
% 0.17/0.55 FOF formula (<kernel.Constant object at 0x2b3e05ef4ab8>, <kernel.DependentProduct object at 0x2b3e05ef45a8>) of role type named mor_decl_type
% 0.17/0.55 Using role type
% 0.17/0.55 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.17/0.55 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U)))) of role definition named mor
% 0.17/0.55 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))))
% 0.17/0.55 Defined: mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U)))
% 0.17/0.55 FOF formula (<kernel.Constant object at 0x2b3e05ef4098>, <kernel.DependentProduct object at 0x2b3e05ef4e60>) of role type named mand_decl_type
% 0.17/0.55 Using role type
% 0.17/0.55 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.17/0.55 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U)))) of role definition named mand
% 0.17/0.55 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U))))
% 0.17/0.55 Defined: mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U)))
% 0.17/0.55 FOF formula (<kernel.Constant object at 0x2b3e05ef4ab8>, <kernel.DependentProduct object at 0x2b3e05ef4560>) of role type named mimplies_decl_type
% 0.17/0.55 Using role type
% 0.17/0.55 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.17/0.55 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V))) of role definition named mimplies
% 0.17/0.55 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)))
% 0.17/0.55 Defined: mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V))
% 0.17/0.55 FOF formula (<kernel.Constant object at 0x2b3e05ef4ab8>, <kernel.DependentProduct object at 0x14c74d0>) of role type named mbox_s4_decl_type
% 0.17/0.55 Using role type
% 0.17/0.55 Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.17/0.55 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y))))) of role definition named mbox_s4
% 0.17/0.55 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))))
% 0.17/0.55 Defined: mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y))))
% 0.17/0.55 FOF formula (<kernel.Constant object at 0x14c7680>, <kernel.DependentProduct object at 0x14c7b90>) of role type named iatom_type
% 0.17/0.56 Using role type
% 0.17/0.56 Declaring iatom:((fofType->Prop)->(fofType->Prop))
% 0.17/0.56 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P)) of role definition named iatom
% 0.17/0.56 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P))
% 0.17/0.56 Defined: iatom:=(fun (P:(fofType->Prop))=> P)
% 0.17/0.56 FOF formula (<kernel.Constant object at 0x14c7200>, <kernel.DependentProduct object at 0x14c7d40>) of role type named inot_type
% 0.17/0.56 Using role type
% 0.17/0.56 Declaring inot:((fofType->Prop)->(fofType->Prop))
% 0.17/0.56 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))) of role definition named inot
% 0.17/0.56 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))))
% 0.17/0.56 Defined: inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))
% 0.17/0.56 FOF formula (<kernel.Constant object at 0x14c7680>, <kernel.DependentProduct object at 0x14c7f80>) of role type named itrue_type
% 0.17/0.56 Using role type
% 0.17/0.56 Declaring itrue:(fofType->Prop)
% 0.17/0.56 FOF formula (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True)) of role definition named itrue
% 0.17/0.56 A new definition: (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True))
% 0.17/0.56 Defined: itrue:=(fun (W:fofType)=> True)
% 0.17/0.56 FOF formula (<kernel.Constant object at 0x14c7f80>, <kernel.DependentProduct object at 0x14c7098>) of role type named ifalse_type
% 0.17/0.56 Using role type
% 0.17/0.56 Declaring ifalse:(fofType->Prop)
% 0.17/0.56 FOF formula (((eq (fofType->Prop)) ifalse) (inot itrue)) of role definition named ifalse
% 0.17/0.56 A new definition: (((eq (fofType->Prop)) ifalse) (inot itrue))
% 0.17/0.56 Defined: ifalse:=(inot itrue)
% 0.17/0.56 FOF formula (<kernel.Constant object at 0x14c7d40>, <kernel.DependentProduct object at 0x14c7dd0>) of role type named iand_type
% 0.17/0.56 Using role type
% 0.17/0.56 Declaring iand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.17/0.56 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iand) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q))) of role definition named iand
% 0.17/0.56 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iand) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)))
% 0.17/0.56 Defined: iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q))
% 0.17/0.56 FOF formula (<kernel.Constant object at 0x14c7f80>, <kernel.DependentProduct object at 0x14c71b8>) of role type named ior_type
% 0.17/0.56 Using role type
% 0.17/0.56 Declaring ior:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.17/0.56 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ior) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q)))) of role definition named ior
% 0.17/0.56 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ior) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q))))
% 0.17/0.56 Defined: ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q)))
% 0.17/0.56 FOF formula (<kernel.Constant object at 0x14c7f80>, <kernel.DependentProduct object at 0x14c45a8>) of role type named iimplies_type
% 0.17/0.56 Using role type
% 0.17/0.56 Declaring iimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.17/0.56 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplies) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q)))) of role definition named iimplies
% 0.17/0.56 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplies) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q))))
% 0.17/0.56 Defined: iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q)))
% 0.17/0.56 FOF formula (<kernel.Constant object at 0x14c72d8>, <kernel.DependentProduct object at 0x14c44d0>) of role type named iimplied_type
% 0.17/0.56 Using role type
% 0.17/0.56 Declaring iimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.17/0.56 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplied) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P))) of role definition named iimplied
% 0.17/0.56 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplied) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)))
% 0.17/0.57 Defined: iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P))
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x14c43f8>, <kernel.DependentProduct object at 0x14c4710>) of role type named iequiv_type
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring iequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.17/0.57 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iequiv) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P)))) of role definition named iequiv
% 0.17/0.57 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iequiv) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P))))
% 0.17/0.57 Defined: iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P)))
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x14c45f0>, <kernel.DependentProduct object at 0x14c45a8>) of role type named ixor_type
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring ixor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.17/0.57 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ixor) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q)))) of role definition named ixor
% 0.17/0.57 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ixor) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))))
% 0.17/0.57 Defined: ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q)))
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x14c43f8>, <kernel.DependentProduct object at 0x162f170>) of role type named ivalid_type
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring ivalid:((fofType->Prop)->Prop)
% 0.17/0.57 FOF formula (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named ivalid
% 0.17/0.57 A new definition: (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.17/0.57 Defined: ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x14c48c0>, <kernel.DependentProduct object at 0x162f128>) of role type named isatisfiable_type
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring isatisfiable:((fofType->Prop)->Prop)
% 0.17/0.57 FOF formula (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named isatisfiable
% 0.17/0.57 A new definition: (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.17/0.57 Defined: isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x162f128>, <kernel.DependentProduct object at 0x162f2d8>) of role type named icountersatisfiable_type
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring icountersatisfiable:((fofType->Prop)->Prop)
% 0.17/0.57 FOF formula (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named icountersatisfiable
% 0.17/0.57 A new definition: (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.17/0.57 Defined: icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x162f050>, <kernel.DependentProduct object at 0x162f518>) of role type named iinvalid_type
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring iinvalid:((fofType->Prop)->Prop)
% 0.17/0.57 FOF formula (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named iinvalid
% 0.17/0.57 A new definition: (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.17/0.57 Defined: iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x14a2638>, <kernel.DependentProduct object at 0x14c2dd0>) of role type named a_type
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring a:(fofType->Prop)
% 0.17/0.57 FOF formula (ivalid (inot (inot ((ior (iatom a)) (inot (iatom a)))))) of role conjecture named con
% 2.26/2.49 Conjecture to prove = (ivalid (inot (inot ((ior (iatom a)) (inot (iatom a)))))):Prop
% 2.26/2.49 Parameter fofType_DUMMY:fofType.
% 2.26/2.49 We need to prove ['(ivalid (inot (inot ((ior (iatom a)) (inot (iatom a))))))']
% 2.26/2.49 Parameter fofType:Type.
% 2.26/2.49 Parameter irel:(fofType->(fofType->Prop)).
% 2.26/2.49 Axiom refl_axiom:(forall (X:fofType), ((irel X) X)).
% 2.26/2.49 Axiom trans_axiom:(forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z))).
% 2.26/2.49 Definition mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)):((fofType->Prop)->(fofType->Prop)).
% 2.26/2.49 Definition mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 2.26/2.49 Definition mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 2.26/2.49 Definition mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 2.26/2.49 Definition mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))):((fofType->Prop)->(fofType->Prop)).
% 2.26/2.49 Definition iatom:=(fun (P:(fofType->Prop))=> P):((fofType->Prop)->(fofType->Prop)).
% 2.26/2.49 Definition inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))):((fofType->Prop)->(fofType->Prop)).
% 2.26/2.49 Definition itrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 2.26/2.49 Definition ifalse:=(inot itrue):(fofType->Prop).
% 2.26/2.49 Definition iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 2.26/2.49 Definition ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 2.26/2.49 Definition iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 2.26/2.49 Definition iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 2.26/2.49 Definition iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 2.26/2.49 Definition ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 2.26/2.49 Definition ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 2.26/2.49 Definition isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 2.26/2.49 Definition icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 2.26/2.49 Definition iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 2.26/2.49 Parameter a:(fofType->Prop).
% 2.26/2.49 Trying to prove (ivalid (inot (inot ((ior (iatom a)) (inot (iatom a))))))
% 2.26/2.49 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found (refl_axiom W) as proof of ((irel W) Y)
% 2.26/2.49 Found x1:((irel Y) Y0)
% 2.26/2.49 Found x1 as proof of ((irel W) Y0)
% 2.26/2.49 Found x1:((irel Y) Y0)
% 2.26/2.49 Found x1 as proof of ((irel W) Y0)
% 2.26/2.49 Found x1:((irel Y) Y0)
% 2.26/2.49 Found x1 as proof of ((irel W) Y0)
% 2.26/2.49 Found x1:((irel Y) Y0)
% 2.26/2.49 Found x1 as proof of ((irel W) Y0)
% 2.26/2.49 Found x1:((irel Y) Y0)
% 2.26/2.49 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 20.42/20.65 Found (refl_axiom W) as proof of ((irel W) Y)
% 20.42/20.65 Found (refl_axiom W) as proof of ((irel W) Y)
% 20.42/20.65 Found (refl_axiom W) as proof of ((irel W) Y)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y2)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Instantiate: Y4:=Y0:fofType
% 20.42/20.65 Found x1 as proof of ((irel W) Y4)
% 20.42/20.65 Found x1:((irel Y) Y0)
% 20.42/20.65 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y4:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y4)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y4:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y4)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y4:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y4)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Found x1 as proof of ((irel W) Y0)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y4:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y4)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y4:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y4)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y4:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y4)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y4:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y4)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y4:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y4)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y4:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y4)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y4:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y4)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y4:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y4)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y4:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y4)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 37.10/37.29 Found x1 as proof of ((irel W) Y2)
% 37.10/37.29 Found x1:((irel Y) Y0)
% 37.10/37.29 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y2)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y5)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y5:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y5)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y5)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y5:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y5)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y5)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y5)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Found x1 as proof of ((irel W) Y0)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y5:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y5)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y5:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y5)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 74.96/75.20 Instantiate: Y4:=Y0:fofType
% 74.96/75.20 Found x1 as proof of ((irel W) Y4)
% 74.96/75.20 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y5)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y5)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y5:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y5)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y5:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y5)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x6:((irel Y2) Y3)
% 90.30/90.60 Instantiate: Y4:=Y2:fofType
% 90.30/90.60 Found x6 as proof of ((irel Y4) Y3)
% 90.30/90.60 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 90.30/90.60 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 90.30/90.60 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 90.30/90.60 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x6:((irel Y2) Y3)
% 90.30/90.60 Instantiate: Y4:=Y2:fofType
% 90.30/90.60 Found x6 as proof of ((irel Y4) Y3)
% 90.30/90.60 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 90.30/90.60 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 90.30/90.60 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 90.30/90.60 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Found x1 as proof of ((irel W) Y0)
% 90.30/90.60 Found x6:((irel Y2) Y3)
% 90.30/90.60 Instantiate: Y4:=Y2:fofType
% 90.30/90.60 Found x6 as proof of ((irel Y4) Y3)
% 90.30/90.60 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 90.30/90.60 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 90.30/90.60 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 90.30/90.60 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 90.30/90.60 Instantiate: Y4:=Y0:fofType
% 90.30/90.60 Found x1 as proof of ((irel W) Y4)
% 90.30/90.60 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y5)
% 98.99/99.25 Found x6:((irel Y2) Y3)
% 98.99/99.25 Instantiate: Y4:=Y2:fofType
% 98.99/99.25 Found x6 as proof of ((irel Y4) Y3)
% 98.99/99.25 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 98.99/99.25 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 98.99/99.25 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 98.99/99.25 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y2)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y2)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y2)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y5:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y5)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y2)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y2)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y2)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y2)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y2)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 98.99/99.25 Instantiate: Y4:=Y0:fofType
% 98.99/99.25 Found x1 as proof of ((irel W) Y4)
% 98.99/99.25 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y5)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y5:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y5)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y4:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x6:((irel Y2) Y3)
% 126.48/126.80 Instantiate: Y4:=Y2:fofType
% 126.48/126.80 Found x6 as proof of ((irel Y4) Y3)
% 126.48/126.80 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 126.48/126.80 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 126.48/126.80 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 126.48/126.80 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 126.48/126.80 Found x6:((irel Y2) Y3)
% 126.48/126.80 Instantiate: Y4:=Y2:fofType
% 126.48/126.80 Found x6 as proof of ((irel Y4) Y3)
% 126.48/126.80 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 126.48/126.80 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 126.48/126.80 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 126.48/126.80 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 126.48/126.80 Found x1:((irel Y) Y0)
% 126.48/126.80 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 126.48/126.80 Found x1 as proof of ((irel W) Y2)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y2)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x6:((irel Y2) Y3)
% 143.78/144.03 Instantiate: Y4:=Y2:fofType
% 143.78/144.03 Found x6 as proof of ((irel Y4) Y3)
% 143.78/144.03 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found x6:((irel Y2) Y3)
% 143.78/144.03 Instantiate: Y4:=Y2:fofType
% 143.78/144.03 Found x6 as proof of ((irel Y4) Y3)
% 143.78/144.03 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found x6:((irel Y2) Y3)
% 143.78/144.03 Instantiate: Y4:=Y2:fofType
% 143.78/144.03 Found x6 as proof of ((irel Y4) Y3)
% 143.78/144.03 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found x6:((irel Y2) Y3)
% 143.78/144.03 Instantiate: Y4:=Y2:fofType
% 143.78/144.03 Found x6 as proof of ((irel Y4) Y3)
% 143.78/144.03 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y4:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y4)
% 143.78/144.03 Found x6:((irel Y2) Y3)
% 143.78/144.03 Instantiate: Y4:=Y2:fofType
% 143.78/144.03 Found x6 as proof of ((irel Y4) Y3)
% 143.78/144.03 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found x6:((irel Y2) Y3)
% 143.78/144.03 Instantiate: Y4:=Y2:fofType
% 143.78/144.03 Found x6 as proof of ((irel Y4) Y3)
% 143.78/144.03 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y2)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y2)
% 143.78/144.03 Found x1:((irel Y) Y0)
% 143.78/144.03 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 143.78/144.03 Found x1 as proof of ((irel W) Y2)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y2)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y4:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y4)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y4:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y4)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y4:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y4)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y4:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y4)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y4:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y4)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y4:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y4)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y4:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y4)
% 212.51/212.81 Found x6:((irel Y2) Y3)
% 212.51/212.81 Instantiate: Y4:=Y2:fofType
% 212.51/212.81 Found x6 as proof of ((irel Y4) Y3)
% 212.51/212.81 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 212.51/212.81 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 212.51/212.81 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 212.51/212.81 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 212.51/212.81 Found x6:((irel Y2) Y3)
% 212.51/212.81 Instantiate: Y4:=Y2:fofType
% 212.51/212.81 Found x6 as proof of ((irel Y4) Y3)
% 212.51/212.81 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 212.51/212.81 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 212.51/212.81 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 212.51/212.81 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 212.51/212.81 Found x6:((irel Y2) Y3)
% 212.51/212.81 Instantiate: Y4:=Y2:fofType
% 212.51/212.81 Found x6 as proof of ((irel Y4) Y3)
% 212.51/212.81 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 212.51/212.81 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 212.51/212.81 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 212.51/212.81 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 212.51/212.81 Found x6:((irel Y2) Y3)
% 212.51/212.81 Instantiate: Y4:=Y2:fofType
% 212.51/212.81 Found x6 as proof of ((irel Y4) Y3)
% 212.51/212.81 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 212.51/212.81 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 212.51/212.81 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 212.51/212.81 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 212.51/212.81 Found x1:((irel Y) Y0)
% 212.51/212.81 Instantiate: Y5:=Y0:fofType
% 212.51/212.81 Found x1 as proof of ((irel W) Y5)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y5:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y5)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y5:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y5)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y5:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y5)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y5:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y5)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y5:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y5)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y5:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y5)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Found x1 as proof of ((irel W) Y0)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Found x1 as proof of ((irel W) Y0)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Found x1 as proof of ((irel W) Y0)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Found x1 as proof of ((irel W) Y0)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Found x1 as proof of ((irel W) Y0)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y:=Y1:fofType;Y5:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel Y1) Y5)
% 234.13/234.46 Found x6:((irel Y3) Y4)
% 234.13/234.46 Instantiate: Y5:=Y3:fofType
% 234.13/234.46 Found x6 as proof of ((irel Y5) Y4)
% 234.13/234.46 Found x6:((irel Y3) Y4)
% 234.13/234.46 Instantiate: Y5:=Y3:fofType
% 234.13/234.46 Found x6 as proof of ((irel Y5) Y4)
% 234.13/234.46 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 234.13/234.46 Found (refl_axiom Y1) as proof of ((irel Y1) Y5)
% 234.13/234.46 Found (refl_axiom Y1) as proof of ((irel Y1) Y5)
% 234.13/234.46 Found (refl_axiom Y1) as proof of ((irel Y1) Y5)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y4:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel W) Y4)
% 234.13/234.46 Found x6:((irel Y3) Y4)
% 234.13/234.46 Instantiate: Y5:=Y3:fofType
% 234.13/234.46 Found x6 as proof of ((irel Y5) Y4)
% 234.13/234.46 Found x1:((irel Y) Y0)
% 234.13/234.46 Instantiate: Y:=Y1:fofType;Y5:=Y0:fofType
% 234.13/234.46 Found x1 as proof of ((irel Y1) Y5)
% 234.13/234.46 Found x5:((irel Y2) Y3)
% 234.13/234.46 Instantiate: Y2:=Y1:fofType
% 234.13/234.46 Found x5 as proof of ((irel Y1) Y5)
% 234.13/234.46 Found ((conj00 x5) x6) as proof of ((and ((irel Y1) Y5)) ((irel Y5) Y4))
% 234.13/234.46 Found (((conj0 ((irel Y5) Y4)) x5) x6) as proof of ((and ((irel Y1) Y5)) ((irel Y5) Y4))
% 235.62/235.98 Found ((((conj ((irel Y1) Y5)) ((irel Y5) Y4)) x5) x6) as proof of ((and ((irel Y1) Y5)) ((irel Y5) Y4))
% 235.62/235.98 Found ((((conj ((irel Y1) Y5)) ((irel Y5) Y4)) x5) x6) as proof of ((and ((irel Y1) Y5)) ((irel Y5) Y4))
% 235.62/235.98 Found (trans_axiom000 ((((conj ((irel Y1) Y5)) ((irel Y5) Y4)) x5) x6)) as proof of ((irel Y1) Y4)
% 235.62/235.98 Found ((trans_axiom00 Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)) as proof of ((irel Y1) Y4)
% 235.62/235.98 Found (((fun (Y5:fofType)=> ((trans_axiom0 Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)) as proof of ((irel Y1) Y4)
% 235.62/235.98 Found (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)) as proof of ((irel Y1) Y4)
% 235.62/235.98 Found (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)) as proof of ((irel Y1) Y4)
% 235.62/235.98 Found (x30 (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6))) as proof of ((iatom a) Y4)
% 235.62/235.98 Found ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6))) as proof of ((iatom a) Y4)
% 235.62/235.98 Found (fun (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)))) as proof of ((iatom a) Y4)
% 235.62/235.98 Found (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)))) as proof of (((irel Y3) Y4)->((iatom a) Y4))
% 235.62/235.98 Found (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)))) as proof of ((mbox_s4 (iatom a)) Y3)
% 235.62/235.98 Found (or_introl00 (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6))))) as proof of ((or ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3))
% 235.62/235.98 Found ((or_introl0 ((mbox_s4 (inot (iatom a))) Y3)) (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6))))) as proof of ((or ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3))
% 235.62/235.98 Found (((or_introl ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3)) (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6))))) as proof of ((or ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3))
% 235.62/235.98 Found (((or_introl ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3)) (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6))))) as proof of ((or ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3))
% 235.62/235.98 Found (fun (x5:((irel Y2) Y3))=> (((or_introl ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3)) (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)))))) as proof of (((mor (mbox_s4 (iatom a))) (mbox_s4 (inot (iatom a)))) Y3)
% 235.62/235.98 Found (fun (Y3:fofType) (x5:((irel Y2) Y3))=> (((or_introl ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3)) (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)))))) as proof of (((irel Y2) Y3)->(((mor (mbox_s4 (iatom a))) (mbox_s4 (inot (iatom a)))) Y3))
% 235.62/235.98 Found (fun (Y3:fofType) (x5:((irel Y2) Y3))=> (((or_introl ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3)) (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)))))) as proof of ((mbox_s4 ((mor (mbox_s4 (iatom a))) (mbox_s4 (inot (iatom a))))) Y2)
% 235.62/235.98 Found x1:((irel Y) Y0)
% 235.62/235.98 Found x1 as proof of ((irel W) Y0)
% 235.62/235.98 Found x1:((irel Y) Y0)
% 235.62/235.98 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 235.62/235.98 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x6:((irel Y3) Y4)
% 243.61/243.95 Instantiate: Y5:=Y3:fofType
% 243.61/243.95 Found x6 as proof of ((irel Y5) Y4)
% 243.61/243.95 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 243.61/243.95 Found (refl_axiom Y1) as proof of ((irel Y1) Y5)
% 243.61/243.95 Found (refl_axiom Y1) as proof of ((irel Y1) Y5)
% 243.61/243.95 Found (refl_axiom Y1) as proof of ((irel Y1) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y5:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y5)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y4:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y4)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y4:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y4)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y4:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y4)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y4:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y4)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y4:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y4)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y4:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y4)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y4:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y4)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y4:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y4)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y4:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y4)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y4:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y4)
% 243.61/243.95 Found x1:((irel Y) Y0)
% 243.61/243.95 Instantiate: Y4:=Y0:fofType
% 243.61/243.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y4:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y4)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y5)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y5)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y5)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y5)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y5)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y5)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y5)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 251.57/251.95 Found x1 as proof of ((irel W) Y5)
% 251.57/251.95 Found x1:((irel Y) Y0)
% 251.57/251.95 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y5:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y5)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Instantiate: Y4:=Y0:fofType
% 269.67/270.02 Found x1 as proof of ((irel W) Y4)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Found x1 as proof of ((irel W) Y0)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Found x1 as proof of ((irel W) Y0)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Found x1 as proof of ((irel W) Y0)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Found x1 as proof of ((irel W) Y0)
% 269.67/270.02 Found x1:((irel Y) Y0)
% 269.67/270.02 Found x1 as proof of ((irel W) Y0)
% 269.67/270.02 Found x6:((irel Y2) Y3)
% 269.67/270.02 Instantiate: Y4:=Y2:fofType
% 269.67/270.02 Found x6 as proof of ((irel Y4) Y3)
% 269.67/270.02 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 269.67/270.02 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 269.67/270.02 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 269.67/270.02 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 269.67/270.02 Found x6:((irel Y2) Y3)
% 269.67/270.02 Instantiate: Y4:=Y2:fofType
% 269.67/270.02 Found x6 as proof of ((irel Y4) Y3)
% 269.67/270.02 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 269.67/270.02 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 269.67/270.02 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 269.67/270.02 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found x6:((irel Y2) Y3)
% 281.59/281.93 Instantiate: Y4:=Y2:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y4) Y3)
% 281.59/281.93 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found x6:((irel Y2) Y3)
% 281.59/281.93 Instantiate: Y4:=Y2:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y4) Y3)
% 281.59/281.93 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found x6:((irel Y2) Y3)
% 281.59/281.93 Instantiate: Y4:=Y2:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y4) Y3)
% 281.59/281.93 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found x6:((irel Y2) Y3)
% 281.59/281.93 Instantiate: Y4:=Y2:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y4) Y3)
% 281.59/281.93 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found x6:((irel Y2) Y3)
% 281.59/281.93 Instantiate: Y4:=Y2:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y4) Y3)
% 281.59/281.93 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found x6:((irel Y2) Y3)
% 281.59/281.93 Instantiate: Y4:=Y2:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y4) Y3)
% 281.59/281.93 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found x1:((irel Y) Y0)
% 281.59/281.93 Found x1 as proof of ((irel W) Y0)
% 281.59/281.93 Found x1:((irel Y) Y0)
% 281.59/281.93 Instantiate: Y:=Y1:fofType;Y5:=Y0:fofType
% 281.59/281.93 Found x1 as proof of ((irel Y1) Y5)
% 281.59/281.93 Found x6:((irel Y3) Y4)
% 281.59/281.93 Instantiate: Y5:=Y3:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y5) Y4)
% 281.59/281.93 Found x1:((irel Y) Y0)
% 281.59/281.93 Instantiate: Y:=Y1:fofType;Y5:=Y0:fofType
% 281.59/281.93 Found x1 as proof of ((irel Y1) Y5)
% 281.59/281.93 Found x6:((irel Y3) Y4)
% 281.59/281.93 Instantiate: Y5:=Y3:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y5) Y4)
% 281.59/281.93 Found x6:((irel Y2) Y3)
% 281.59/281.93 Instantiate: Y4:=Y2:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y4) Y3)
% 281.59/281.93 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found x6:((irel Y2) Y3)
% 281.59/281.93 Instantiate: Y4:=Y2:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y4) Y3)
% 281.59/281.93 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found x6:((irel Y2) Y3)
% 281.59/281.93 Instantiate: Y4:=Y2:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y4) Y3)
% 281.59/281.93 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found x6:((irel Y2) Y3)
% 281.59/281.93 Instantiate: Y4:=Y2:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y4) Y3)
% 281.59/281.93 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found x6:((irel Y2) Y3)
% 281.59/281.93 Instantiate: Y4:=Y2:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y4) Y3)
% 281.59/281.93 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found x6:((irel Y2) Y3)
% 281.59/281.93 Instantiate: Y4:=Y2:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y4) Y3)
% 281.59/281.93 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found x6:((irel Y2) Y3)
% 281.59/281.93 Instantiate: Y4:=Y2:fofType
% 281.59/281.93 Found x6 as proof of ((irel Y4) Y3)
% 281.59/281.93 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 281.59/281.93 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found x6:((irel Y2) Y3)
% 284.87/285.27 Instantiate: Y4:=Y2:fofType
% 284.87/285.27 Found x6 as proof of ((irel Y4) Y3)
% 284.87/285.27 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found x6:((irel Y2) Y3)
% 284.87/285.27 Instantiate: Y4:=Y2:fofType
% 284.87/285.27 Found x6 as proof of ((irel Y4) Y3)
% 284.87/285.27 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found x6:((irel Y2) Y3)
% 284.87/285.27 Instantiate: Y4:=Y2:fofType
% 284.87/285.27 Found x6 as proof of ((irel Y4) Y3)
% 284.87/285.27 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found x6:((irel Y2) Y3)
% 284.87/285.27 Instantiate: Y4:=Y2:fofType
% 284.87/285.27 Found x6 as proof of ((irel Y4) Y3)
% 284.87/285.27 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found x6:((irel Y2) Y3)
% 284.87/285.27 Instantiate: Y4:=Y2:fofType
% 284.87/285.27 Found x6 as proof of ((irel Y4) Y3)
% 284.87/285.27 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x6:((irel Y2) Y3)
% 284.87/285.27 Instantiate: Y4:=Y2:fofType
% 284.87/285.27 Found x6 as proof of ((irel Y4) Y3)
% 284.87/285.27 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x6:((irel Y2) Y3)
% 284.87/285.27 Instantiate: Y4:=Y2:fofType
% 284.87/285.27 Found x6 as proof of ((irel Y4) Y3)
% 284.87/285.27 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x6:((irel Y2) Y3)
% 284.87/285.27 Instantiate: Y4:=Y2:fofType
% 284.87/285.27 Found x6 as proof of ((irel Y4) Y3)
% 284.87/285.27 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found (refl_axiom Y1) as proof of ((irel Y1) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 284.87/285.27 Instantiate: Y4:=Y0:fofType
% 284.87/285.27 Found x1 as proof of ((irel W) Y4)
% 284.87/285.27 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x6:((irel Y3) Y4)
% 296.04/296.42 Instantiate: Y5:=Y3:fofType
% 296.04/296.42 Found x6 as proof of ((irel Y5) Y4)
% 296.04/296.42 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 296.04/296.42 Found (refl_axiom Y1) as proof of ((irel Y1) Y5)
% 296.04/296.42 Found (refl_axiom Y1) as proof of ((irel Y1) Y5)
% 296.04/296.42 Found (refl_axiom Y1) as proof of ((irel Y1) Y5)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x6:((irel Y3) Y4)
% 296.04/296.42 Instantiate: Y5:=Y3:fofType
% 296.04/296.42 Found x6 as proof of ((irel Y5) Y4)
% 296.04/296.42 Found refl_axiom0:=(refl_axiom Y1):((irel Y1) Y1)
% 296.04/296.42 Found (refl_axiom Y1) as proof of ((irel Y1) Y5)
% 296.04/296.42 Found (refl_axiom Y1) as proof of ((irel Y1) Y5)
% 296.04/296.42 Found (refl_axiom Y1) as proof of ((irel Y1) Y5)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y4:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y4)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y5)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y5)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y5)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 296.04/296.42 Found x1 as proof of ((irel W) Y5)
% 296.04/296.42 Found x1:((irel Y) Y0)
% 296.04/296.42 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 297.63/298.04 Found x1 as proof of ((irel W) Y5)
% 297.63/298.04 Found x1:((irel Y) Y0)
% 297.63/298.04 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 297.63/298.04 Found x1 as proof of ((irel W) Y5)
% 297.63/298.04 Found x1:((irel Y) Y0)
% 297.63/298.04 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 297.63/298.04 Found x1 as proof of ((irel W) Y5)
% 297.63/298.04 Found x1:((irel Y) Y0)
% 297.63/298.04 Instantiate: Y:=W:fofType;Y5:=Y0:fofType
% 297.63/298.04 Found x1 as proof of ((irel W) Y5)
% 297.63/298.04 Found x1:((irel Y) Y0)
% 297.63/298.04 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 297.63/298.04 Found x1 as proof of ((irel W) Y2)
% 297.63/298.04 Found x1:((irel Y) Y0)
% 297.63/298.04 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 297.63/298.04 Found x1 as proof of ((irel W) Y2)
% 297.63/298.04 Found x1:((irel Y) Y0)
% 297.63/298.04 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 297.63/298.04 Found x1 as proof of ((irel W) Y2)
% 297.63/298.04 Found x1:((irel Y) Y0)
% 297.63/298.04 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 297.63/298.04 Found x1 as proof of ((irel W) Y2)
% 297.63/298.04 Found x1:((irel Y) Y0)
% 297.63/298.04 Instantiate: Y:=W:fofType;Y2:=Y0:fofType
% 297.63/298.04 Found x1 as proof of ((irel W) Y2)
% 297.63/298.04 Found x6:((irel Y3) Y4)
% 297.63/298.04 Instantiate: Y5:=Y3:fofType
% 297.63/298.04 Found x6 as proof of ((irel Y5) Y4)
% 297.63/298.04 Found x1:((irel Y) Y0)
% 297.63/298.04 Instantiate: Y:=Y1:fofType;Y5:=Y0:fofType
% 297.63/298.04 Found x1 as proof of ((irel Y1) Y5)
% 297.63/298.04 Found x5:((irel Y2) Y3)
% 297.63/298.04 Instantiate: Y2:=Y1:fofType
% 297.63/298.04 Found x5 as proof of ((irel Y1) Y5)
% 297.63/298.04 Found ((conj00 x5) x6) as proof of ((and ((irel Y1) Y5)) ((irel Y5) Y4))
% 297.63/298.04 Found (((conj0 ((irel Y5) Y4)) x5) x6) as proof of ((and ((irel Y1) Y5)) ((irel Y5) Y4))
% 297.63/298.04 Found ((((conj ((irel Y1) Y5)) ((irel Y5) Y4)) x5) x6) as proof of ((and ((irel Y1) Y5)) ((irel Y5) Y4))
% 297.63/298.04 Found ((((conj ((irel Y1) Y5)) ((irel Y5) Y4)) x5) x6) as proof of ((and ((irel Y1) Y5)) ((irel Y5) Y4))
% 297.63/298.04 Found (trans_axiom000 ((((conj ((irel Y1) Y5)) ((irel Y5) Y4)) x5) x6)) as proof of ((irel Y1) Y4)
% 297.63/298.04 Found ((trans_axiom00 Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)) as proof of ((irel Y1) Y4)
% 297.63/298.04 Found (((fun (Y5:fofType)=> ((trans_axiom0 Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)) as proof of ((irel Y1) Y4)
% 297.63/298.04 Found (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)) as proof of ((irel Y1) Y4)
% 297.63/298.04 Found (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)) as proof of ((irel Y1) Y4)
% 297.63/298.04 Found (x30 (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6))) as proof of ((iatom a) Y4)
% 297.63/298.04 Found ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6))) as proof of ((iatom a) Y4)
% 297.63/298.04 Found (fun (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)))) as proof of ((iatom a) Y4)
% 297.63/298.04 Found (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)))) as proof of (((irel Y3) Y4)->((iatom a) Y4))
% 297.63/298.04 Found (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6)))) as proof of ((mbox_s4 (iatom a)) Y3)
% 297.63/298.04 Found (or_introl10 (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6))))) as proof of ((or ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3))
% 297.63/298.04 Found ((or_introl1 ((mbox_s4 (inot (iatom a))) Y3)) (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6))))) as proof of ((or ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3))
% 297.63/298.04 Found (((or_introl ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3)) (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6))))) as proof of ((or ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3))
% 297.63/298.04 Found (((or_introl ((mbox_s4 (iatom a)) Y3)) ((mbox_s4 (inot (iatom a))) Y3)) (fun (Y4:fofType) (x6:((irel Y3) Y4))=> ((x3 Y4) (((fun (Y5:fofType)=> (((trans_axiom Y1) Y5) Y4)) Y3) ((((conj ((irel Y1) Y3)) ((irel Y3) Y4)) x5) x6))))) as proof of ((or ((mbox_s4 (iatom a))
%------------------------------------------------------------------------------