TSTP Solution File: SYO063^4 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO063^4 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 300.06s 300.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO063^4 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n013.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % RAMPerCPU : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Fri Mar 11 11:32:37 EST 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.41/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.41/0.61 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL010^0.ax, trying next directory
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x269e290>, <kernel.DependentProduct object at 0x269e830>) of role type named irel_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring irel:(fofType->(fofType->Prop))
% 0.41/0.61 FOF formula (forall (X:fofType), ((irel X) X)) of role axiom named refl_axiom
% 0.41/0.61 A new axiom: (forall (X:fofType), ((irel X) X))
% 0.41/0.61 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
% 0.41/0.61 A new axiom: (forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x269e488>, <kernel.DependentProduct object at 0x269e908>) of role type named mnot_decl_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.41/0.61 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))) of role definition named mnot
% 0.41/0.61 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)))
% 0.41/0.61 Defined: mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x269e8c0>, <kernel.DependentProduct object at 0x269e7e8>) of role type named mor_decl_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.61 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
% 0.41/0.61 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))))
% 0.41/0.61 Defined: mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x269e488>, <kernel.DependentProduct object at 0x269e6c8>) of role type named mand_decl_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.61 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
% 0.41/0.61 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))))
% 0.41/0.61 Defined: mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x269e8c0>, <kernel.DependentProduct object at 0x269e998>) of role type named mimplies_decl_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.61 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
% 0.41/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)))
% 0.41/0.61 Defined: mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x269e8c0>, <kernel.DependentProduct object at 0x2699518>) of role type named mbox_s4_decl_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.41/0.61 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
% 0.41/0.61 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))))
% 0.41/0.61 Defined: mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y))))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x269e5a8>, <kernel.DependentProduct object at 0x2699a70>) of role type named iatom_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring iatom:((fofType->Prop)->(fofType->Prop))
% 0.41/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P)) of role definition named iatom
% 0.41/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P))
% 0.41/0.62 Defined: iatom:=(fun (P:(fofType->Prop))=> P)
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2699a70>, <kernel.DependentProduct object at 0x2699368>) of role type named inot_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring inot:((fofType->Prop)->(fofType->Prop))
% 0.41/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))) of role definition named inot
% 0.41/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))))
% 0.41/0.62 Defined: inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2699a28>, <kernel.DependentProduct object at 0x26994d0>) of role type named itrue_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring itrue:(fofType->Prop)
% 0.41/0.62 FOF formula (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True)) of role definition named itrue
% 0.41/0.62 A new definition: (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True))
% 0.41/0.62 Defined: itrue:=(fun (W:fofType)=> True)
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x26994d0>, <kernel.DependentProduct object at 0x2699098>) of role type named ifalse_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring ifalse:(fofType->Prop)
% 0.41/0.62 FOF formula (((eq (fofType->Prop)) ifalse) (inot itrue)) of role definition named ifalse
% 0.41/0.62 A new definition: (((eq (fofType->Prop)) ifalse) (inot itrue))
% 0.41/0.62 Defined: ifalse:=(inot itrue)
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2699368>, <kernel.DependentProduct object at 0x2699b90>) of role type named iand_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring iand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.62 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
% 0.41/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iand) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)))
% 0.41/0.62 Defined: iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x26994d0>, <kernel.DependentProduct object at 0x2699ab8>) of role type named ior_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring ior:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.62 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
% 0.41/0.62 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))))
% 0.41/0.62 Defined: ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q)))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x26994d0>, <kernel.DependentProduct object at 0x2699ea8>) of role type named iimplies_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring iimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.62 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
% 0.41/0.62 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))))
% 0.41/0.62 Defined: iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q)))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x26995a8>, <kernel.DependentProduct object at 0x2699830>) of role type named iimplied_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring iimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.62 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
% 0.41/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplied) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)))
% 0.41/0.62 Defined: iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x26995a8>, <kernel.DependentProduct object at 0x2699fc8>) of role type named iequiv_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring iequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 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))))
% 0.47/0.63 Defined: iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x26995f0>, <kernel.DependentProduct object at 0x2699908>) of role type named ixor_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring ixor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ixor) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))))
% 0.47/0.63 Defined: ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x26995a8>, <kernel.DependentProduct object at 0x2810170>) of role type named ivalid_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring ivalid:((fofType->Prop)->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named ivalid
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.47/0.63 Defined: ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x26991b8>, <kernel.DependentProduct object at 0x2810128>) of role type named isatisfiable_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring isatisfiable:((fofType->Prop)->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named isatisfiable
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.47/0.63 Defined: isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2810128>, <kernel.DependentProduct object at 0x28102d8>) of role type named icountersatisfiable_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring icountersatisfiable:((fofType->Prop)->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named icountersatisfiable
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.47/0.63 Defined: icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2810050>, <kernel.DependentProduct object at 0x2810518>) of role type named iinvalid_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring iinvalid:((fofType->Prop)->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named iinvalid
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.47/0.63 Defined: iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2696fc8>, <kernel.DependentProduct object at 0x2679e18>) of role type named p_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x269b128>, <kernel.DependentProduct object at 0x2679c68>) of role type named q_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring q:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x269b128>, <kernel.DependentProduct object at 0x2679b48>) of role type named r_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring r:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2696248>, <kernel.DependentProduct object at 0x2679b00>) of role type named s_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring s:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2696cb0>, <kernel.DependentProduct object at 0x297bcf8>) of role type named t_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring t:(fofType->Prop)
% 0.47/0.63 FOF formula (ivalid (iatom s)) of role axiom named axiom1
% 0.47/0.63 A new axiom: (ivalid (iatom s))
% 0.47/0.63 FOF formula (ivalid ((iimplies (inot ((iimplies (iatom t)) (iatom r)))) (iatom p))) of role axiom named axiom2
% 0.47/0.63 A new axiom: (ivalid ((iimplies (inot ((iimplies (iatom t)) (iatom r)))) (iatom p)))
% 0.47/0.63 FOF formula (ivalid ((iimplies (inot ((iand ((iimplies (iatom p)) (iatom q))) ((iimplies (iatom t)) (iatom r))))) ((iand (inot (inot (iatom p)))) ((iand (iatom s)) (iatom s))))) of role conjecture named con
% 0.47/0.63 Conjecture to prove = (ivalid ((iimplies (inot ((iand ((iimplies (iatom p)) (iatom q))) ((iimplies (iatom t)) (iatom r))))) ((iand (inot (inot (iatom p)))) ((iand (iatom s)) (iatom s))))):Prop
% 0.47/0.63 Parameter fofType_DUMMY:fofType.
% 0.47/0.63 We need to prove ['(ivalid ((iimplies (inot ((iand ((iimplies (iatom p)) (iatom q))) ((iimplies (iatom t)) (iatom r))))) ((iand (inot (inot (iatom p)))) ((iand (iatom s)) (iatom s)))))']
% 0.47/0.63 Parameter fofType:Type.
% 0.47/0.63 Parameter irel:(fofType->(fofType->Prop)).
% 0.47/0.63 Axiom refl_axiom:(forall (X:fofType), ((irel X) X)).
% 0.47/0.63 Axiom trans_axiom:(forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z))).
% 0.47/0.63 Definition mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.63 Definition mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.63 Definition mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.63 Definition mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.63 Definition mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.63 Definition iatom:=(fun (P:(fofType->Prop))=> P):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.63 Definition inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.63 Definition itrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.47/0.63 Definition ifalse:=(inot itrue):(fofType->Prop).
% 0.47/0.63 Definition iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.63 Definition ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.63 Definition iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.63 Definition iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.63 Definition iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.63 Definition ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.63 Definition ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 0.47/0.63 Definition isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 0.47/0.63 Definition icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 0.47/0.63 Definition iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 0.47/0.63 Parameter p:(fofType->Prop).
% 0.47/0.63 Parameter q:(fofType->Prop).
% 5.63/5.82 Parameter r:(fofType->Prop).
% 5.63/5.82 Parameter s:(fofType->Prop).
% 5.63/5.82 Parameter t:(fofType->Prop).
% 5.63/5.82 Axiom axiom1:(ivalid (iatom s)).
% 5.63/5.82 Axiom axiom2:(ivalid ((iimplies (inot ((iimplies (iatom t)) (iatom r)))) (iatom p))).
% 5.63/5.82 Trying to prove (ivalid ((iimplies (inot ((iand ((iimplies (iatom p)) (iatom q))) ((iimplies (iatom t)) (iatom r))))) ((iand (inot (inot (iatom p)))) ((iand (iatom s)) (iatom s)))))
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 5.63/5.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 5.63/5.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 5.63/5.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 5.63/5.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 5.63/5.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 5.63/5.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 5.63/5.82 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 5.63/5.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 5.63/5.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 5.63/5.82 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 5.63/5.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 5.63/5.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 5.63/5.82 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 5.63/5.82 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 5.63/5.82 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 5.63/5.82 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 5.63/5.82 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 12.60/12.82 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 12.60/12.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 12.60/12.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 12.60/12.82 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 12.60/12.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 12.60/12.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 12.60/12.82 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 12.60/12.82 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 12.60/12.82 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 12.60/12.82 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 12.60/12.82 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 12.60/12.82 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 12.60/12.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 12.60/12.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 12.60/12.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 12.60/12.82 Found x1:((irel Y) Y0)
% 12.60/12.82 Found x1 as proof of ((irel W) Y0)
% 12.60/12.82 Found x1:((irel Y) Y0)
% 12.60/12.82 Found x1 as proof of ((irel W) Y0)
% 12.60/12.82 Found refl_axiom0:=(refl_axiom W):((irel W) W)
% 12.60/12.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 12.60/12.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 12.60/12.82 Found (refl_axiom W) as proof of ((irel W) Y)
% 12.60/12.82 Found x1:((irel Y) Y0)
% 12.60/12.82 Found x1 as proof of ((irel W) Y0)
% 12.60/12.82 Found x1:((irel Y) Y0)
% 12.60/12.82 Found x1 as proof of ((irel W) Y0)
% 12.60/12.82 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 12.60/12.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 12.60/12.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 12.60/12.82 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 12.60/12.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 12.60/12.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 12.60/12.82 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 12.60/12.82 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 12.60/12.82 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 12.60/12.82 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 12.60/12.82 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 12.60/12.82 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 12.60/12.82 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 12.60/12.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 12.60/12.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 12.60/12.82 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 12.60/12.82 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 15.04/15.25 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 15.04/15.25 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 15.04/15.25 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 15.04/15.25 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found x1:((irel Y) Y0)
% 15.04/15.25 Found x1 as proof of ((irel W) Y0)
% 15.04/15.25 Found x1:((irel Y) Y0)
% 15.04/15.25 Found x1 as proof of ((irel W) Y0)
% 15.04/15.25 Found x1:((irel Y) Y0)
% 15.04/15.25 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 15.04/15.25 Found x1 as proof of ((irel W) Y1)
% 15.04/15.25 Found x1:((irel Y) Y0)
% 15.04/15.25 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 15.04/15.25 Found x1 as proof of ((irel W) Y1)
% 15.04/15.25 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 15.04/15.25 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 15.04/15.25 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 15.04/15.25 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 15.04/15.25 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 15.04/15.25 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 15.04/15.25 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found (axiom1 Y) as proof of ((iatom s) Y)
% 15.04/15.25 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 15.04/15.25 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 31.59/31.75 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 31.59/31.75 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 31.59/31.75 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 31.59/31.75 Found (axiom1 Y) as proof of ((iatom s) Y)
% 31.59/31.75 Found (axiom1 Y) as proof of ((iatom s) Y)
% 31.59/31.75 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 31.59/31.75 Found (axiom1 Y) as proof of ((iatom s) Y)
% 31.59/31.75 Found (axiom1 Y) as proof of ((iatom s) Y)
% 31.59/31.75 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 31.59/31.75 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 31.59/31.75 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 31.59/31.75 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 31.59/31.75 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 31.59/31.75 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 31.59/31.75 Found x1 as proof of ((irel W) Y1)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 31.59/31.75 Found x1 as proof of ((irel W) Y1)
% 31.59/31.75 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 31.59/31.75 Found x1 as proof of ((irel W) Y1)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 31.59/31.75 Found x1 as proof of ((irel W) Y1)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 31.59/31.75 Found x1 as proof of ((irel W) Y1)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 31.59/31.75 Found x1 as proof of ((irel W) Y1)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found x1:((irel Y) Y0)
% 31.59/31.75 Found x1 as proof of ((irel W) Y0)
% 31.59/31.75 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 31.59/31.75 Found (axiom1 Y) as proof of ((iatom s) Y)
% 31.59/31.75 Found (axiom1 Y) as proof of ((iatom s) Y)
% 31.59/31.75 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 31.59/31.75 Found (axiom1 Y) as proof of ((iatom s) Y)
% 35.13/35.34 Found (axiom1 Y) as proof of ((iatom s) Y)
% 35.13/35.34 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 35.13/35.34 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 35.13/35.34 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 35.13/35.34 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 35.13/35.34 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 35.13/35.34 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 35.13/35.34 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 35.13/35.34 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 35.13/35.34 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 35.13/35.34 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 35.13/35.34 Found (axiom1 Y) as proof of ((iatom s) Y)
% 35.13/35.34 Found (axiom1 Y) as proof of ((iatom s) Y)
% 35.13/35.34 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 35.13/35.34 Found (axiom1 Y) as proof of ((iatom s) Y)
% 35.13/35.34 Found (axiom1 Y) as proof of ((iatom s) Y)
% 35.13/35.34 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 35.13/35.34 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 35.13/35.34 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 35.13/35.34 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 35.13/35.34 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 35.13/35.34 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 35.13/35.34 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 35.13/35.34 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 35.13/35.34 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 35.13/35.34 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 35.13/35.34 Found (axiom1 Y) as proof of ((iatom s) Y)
% 35.13/35.34 Found (axiom1 Y) as proof of ((iatom s) Y)
% 35.13/35.34 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 35.13/35.34 Found (axiom1 Y) as proof of ((iatom s) Y)
% 35.13/35.34 Found (axiom1 Y) as proof of ((iatom s) Y)
% 35.13/35.34 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 35.13/35.34 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 35.13/35.34 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 35.13/35.34 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 35.13/35.34 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 35.13/35.34 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 35.13/35.34 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 35.13/35.34 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 35.13/35.34 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 35.13/35.34 Found x1 as proof of ((irel W) Y1)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 35.13/35.34 Found x1 as proof of ((irel W) Y1)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 35.13/35.34 Found x1 as proof of ((irel W) Y1)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 35.13/35.34 Found x1 as proof of ((irel W) Y1)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Found x1 as proof of ((irel W) Y0)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 35.13/35.34 Found x1 as proof of ((irel W) Y1)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Found x1 as proof of ((irel W) Y0)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Found x1 as proof of ((irel W) Y0)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 35.13/35.34 Found x1 as proof of ((irel W) Y1)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Found x1 as proof of ((irel W) Y0)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 35.13/35.34 Found x1 as proof of ((irel W) Y1)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Found x1 as proof of ((irel W) Y0)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 35.13/35.34 Found x1 as proof of ((irel W) Y1)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Found x1 as proof of ((irel W) Y0)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Found x1 as proof of ((irel W) Y0)
% 35.13/35.34 Found x1:((irel Y) Y0)
% 35.13/35.34 Found x1 as proof of ((irel W) Y0)
% 35.13/35.34 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 35.13/35.34 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 42.21/42.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 42.21/42.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 42.21/42.38 Found x1:((irel Y) Y0)
% 42.21/42.38 Found x1 as proof of ((irel W) Y0)
% 42.21/42.38 Found x1:((irel Y) Y0)
% 42.21/42.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 42.21/42.38 Found x1 as proof of ((irel W) Y1)
% 42.21/42.38 Found x1:((irel Y) Y0)
% 42.21/42.38 Found x1 as proof of ((irel W) Y0)
% 42.21/42.38 Found x1:((irel Y) Y0)
% 42.21/42.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 42.21/42.38 Found x1 as proof of ((irel W) Y1)
% 42.21/42.38 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 42.21/42.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 42.21/42.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 42.21/42.38 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 42.21/42.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 42.21/42.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 42.21/42.38 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 42.21/42.38 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 42.21/42.38 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 42.21/42.38 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 42.21/42.38 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 42.21/42.38 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 42.21/42.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 42.21/42.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 42.21/42.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 42.21/42.38 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 42.21/42.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 42.21/42.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 42.21/42.38 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 42.21/42.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 42.21/42.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 42.21/42.38 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 42.21/42.38 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 42.21/42.38 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 42.21/42.38 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 42.21/42.38 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 42.21/42.38 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 42.21/42.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 42.21/42.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 42.21/42.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 42.21/42.38 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 42.21/42.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 42.21/42.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 42.21/42.38 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 42.21/42.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 42.21/42.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 42.21/42.38 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 42.21/42.38 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 42.21/42.38 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 42.21/42.38 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 42.21/42.38 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 42.21/42.38 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 42.21/42.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 42.21/42.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 42.21/42.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 42.21/42.38 Found x1:((irel Y) Y0)
% 42.21/42.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 42.21/42.38 Found x1 as proof of ((irel W) Y1)
% 42.21/42.38 Found x1:((irel Y) Y0)
% 42.21/42.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 42.21/42.38 Found x1 as proof of ((irel W) Y1)
% 42.21/42.38 Found x1:((irel Y) Y0)
% 42.21/42.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 42.21/42.38 Found x1 as proof of ((irel W) Y1)
% 42.21/42.38 Found x1:((irel Y) Y0)
% 42.21/42.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 42.21/42.38 Found x1 as proof of ((irel W) Y1)
% 42.21/42.38 Found x1:((irel Y) Y0)
% 42.21/42.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 42.21/42.38 Found x1 as proof of ((irel W) Y1)
% 42.21/42.38 Found x1:((irel Y) Y0)
% 42.21/42.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 42.21/42.38 Found x1 as proof of ((irel W) Y1)
% 42.21/42.38 Found x1:((irel Y) Y0)
% 42.21/42.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 42.21/42.38 Found x1 as proof of ((irel W) Y1)
% 42.21/42.38 Found x1:((irel Y) Y0)
% 42.21/42.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 65.19/65.37 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 65.19/65.37 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 65.19/65.37 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 65.19/65.37 Found x1 as proof of ((irel W) Y1)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 65.19/65.37 Found x1:((irel Y) Y0)
% 65.19/65.37 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 80.72/80.93 Found (axiom1 Y) as proof of ((iatom s) Y)
% 80.72/80.93 Found (axiom1 Y) as proof of ((iatom s) Y)
% 80.72/80.93 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 80.72/80.93 Found (axiom1 Y) as proof of ((iatom s) Y)
% 80.72/80.93 Found (axiom1 Y) as proof of ((iatom s) Y)
% 80.72/80.93 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 80.72/80.93 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 80.72/80.93 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 80.72/80.93 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 80.72/80.93 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 80.72/80.93 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 80.72/80.93 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 80.72/80.93 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 80.72/80.93 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 80.72/80.93 Found x1 as proof of ((irel W) Y1)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 80.72/80.93 Found x1 as proof of ((irel W) Y1)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 80.72/80.93 Found x1 as proof of ((irel W) Y1)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 80.72/80.93 Found x1 as proof of ((irel W) Y1)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 80.72/80.93 Found x1 as proof of ((irel W) Y1)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 80.72/80.93 Found x1 as proof of ((irel W) Y1)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 80.72/80.93 Found x1 as proof of ((irel W) Y1)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 80.72/80.93 Found x1 as proof of ((irel W) Y1)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 80.72/80.93 Found x1 as proof of ((irel W) Y1)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 80.72/80.93 Found x1 as proof of ((irel W) Y1)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 80.72/80.93 Found x1 as proof of ((irel W) Y1)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 80.72/80.93 Found x1 as proof of ((irel W) Y1)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 80.72/80.93 Found x1 as proof of ((irel W) Y0)
% 80.72/80.93 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 96.16/96.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 96.16/96.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 96.16/96.38 Found axiom10:=(axiom1 Y):((iatom s) Y)
% 96.16/96.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 96.16/96.38 Found (axiom1 Y) as proof of ((iatom s) Y)
% 96.16/96.38 Found ((conj10 (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 96.16/96.38 Found (((conj1 ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 96.16/96.38 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 96.16/96.38 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of ((and ((iatom s) Y)) ((iatom s) Y))
% 96.16/96.38 Found ((((conj ((iatom s) Y)) ((iatom s) Y)) (axiom1 Y)) (axiom1 Y)) as proof of (((iand (iatom s)) (iatom s)) Y)
% 96.16/96.38 Found refl_axiom0:=(refl_axiom Y):((irel Y) Y)
% 96.16/96.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 96.16/96.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 96.16/96.38 Found (refl_axiom Y) as proof of ((irel Y) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 96.16/96.38 Found x1 as proof of ((irel W) Y1)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 96.16/96.38 Found x1:((irel Y) Y0)
% 96.16/96.38 Found x1 as proof of ((irel W) Y0)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Found x1 as proof of ((irel W) Y0)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Found x1 as proof of ((irel W) Y0)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Found x1 as proof of ((irel W) Y0)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Found x1 as proof of ((irel W) Y0)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Found x1 as proof of ((irel W) Y0)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Found x1 as proof of ((irel W) Y0)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Found x1 as proof of ((irel W) Y0)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Found x1 as proof of ((irel W) Y0)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 125.19/125.42 Found x1 as proof of ((irel W) Y1)
% 125.19/125.42 Found x1:((irel Y) Y0)
% 125.19/125.42 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Found x1 as proof of ((irel W) Y0)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 160.11/160.31 Found x1 as proof of ((irel W) Y1)
% 160.11/160.31 Found x1:((irel Y) Y0)
% 160.11/160.31 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Found x1 as proof of ((irel W) Y0)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 189.36/189.57 Found x1 as proof of ((irel W) Y1)
% 189.36/189.57 Found x1:((irel Y) Y0)
% 189.36/189.57 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Found x1 as proof of ((irel W) Y0)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Found x1 as proof of ((irel W) Y0)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Found x1 as proof of ((irel W) Y0)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Found x1 as proof of ((irel W) Y0)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Found x1 as proof of ((irel W) Y0)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Found x1 as proof of ((irel W) Y0)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Found x1 as proof of ((irel W) Y0)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Found x1 as proof of ((irel W) Y0)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Found x1 as proof of ((irel W) Y0)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Found x1 as proof of ((irel W) Y0)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Found x1 as proof of ((irel W) Y0)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Found x1 as proof of ((irel W) Y0)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((irel W) Y1)
% 236.36/236.60 Found x1:((irel Y) Y0)
% 236.36/236.60 Instantiate: Y:=W:fofType;Y1:=Y0:fofType
% 236.36/236.60 Found x1 as proof of ((ir
%------------------------------------------------------------------------------