TSTP Solution File: SYO403^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO403^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:21 EDT 2022
% Result : Timeout 300.02s 300.46s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO403^1 : TPTP v7.5.0. Released v4.0.0.
% 0.06/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % RAMPerCPU : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Mar 12 12:09:40 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.47/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.47/0.62 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b5ee63cdd88>, <kernel.Type object at 0x2b5ee63cdb00>) of role type named mu_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mu:Type
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b5ee63cdd40>, <kernel.DependentProduct object at 0x2b5ee63cdd88>) of role type named meq_ind_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.47/0.62 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.47/0.62 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.47/0.62 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b5ee63cdd88>, <kernel.DependentProduct object at 0x2b5ee63cdb90>) of role type named meq_prop_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.47/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.47/0.62 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b5ee63cdcb0>, <kernel.DependentProduct object at 0x2b5ee63cdd40>) of role type named mnot_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.47/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.47/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.47/0.62 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b5ee63cdd40>, <kernel.DependentProduct object at 0x2b5ee63cd518>) of role type named mor_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.47/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.47/0.62 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b5ee63cd518>, <kernel.DependentProduct object at 0x2b5ee63cd680>) of role type named mand_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.47/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.47/0.62 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b5ee63cd680>, <kernel.DependentProduct object at 0x2b5ee63cd5a8>) of role type named mimplies_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.47/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.47/0.63 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b5ee63cd5a8>, <kernel.DependentProduct object at 0x2b5ee63cd8c0>) of role type named mimplied_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.47/0.63 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b5ee63cd8c0>, <kernel.DependentProduct object at 0x2b5ee63cdd40>) of role type named mequiv_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.47/0.63 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b5ee63cdd40>, <kernel.DependentProduct object at 0x2b5ee63cd518>) of role type named mxor_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.47/0.63 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b5ee63cdd88>, <kernel.DependentProduct object at 0x2b5ee63cd8c0>) of role type named mforall_ind_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.47/0.63 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.47/0.63 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b5eede9be60>, <kernel.DependentProduct object at 0x2b5ee63cd290>) of role type named mforall_prop_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.47/0.63 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.47/0.63 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b5ee63cd290>, <kernel.DependentProduct object at 0x2b5ee63cd098>) of role type named mexists_ind_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.49/0.63 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.49/0.63 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b5eedea0ab8>, <kernel.DependentProduct object at 0x2b5ee63cdb00>) of role type named mexists_prop_type
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.49/0.63 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.49/0.63 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.49/0.63 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b5eedea0bd8>, <kernel.DependentProduct object at 0x2b5ee63cdb00>) of role type named mtrue_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mtrue:(fofType->Prop)
% 0.49/0.64 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.49/0.64 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.49/0.64 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b5eedea0bd8>, <kernel.DependentProduct object at 0x2b5ee63cd098>) of role type named mfalse_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mfalse:(fofType->Prop)
% 0.49/0.64 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.49/0.64 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.49/0.64 Defined: mfalse:=(mnot mtrue)
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b5ee63cda70>, <kernel.DependentProduct object at 0x2b5ee63cd680>) of role type named mbox_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.49/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.49/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.49/0.64 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x26feea8>, <kernel.DependentProduct object at 0x2b5ee63cd290>) of role type named mdia_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.49/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.49/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.49/0.64 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x26febd8>, <kernel.DependentProduct object at 0x2b5ee63cdb00>) of role type named mreflexive_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.49/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.49/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.49/0.64 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x26fee18>, <kernel.DependentProduct object at 0x2b5ee63cd2d8>) of role type named msymmetric_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.49/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.49/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.49/0.65 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b5ee63cd2d8>, <kernel.DependentProduct object at 0x2b5ee63cd998>) of role type named mserial_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.49/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.49/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.49/0.65 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b5ee63cd998>, <kernel.DependentProduct object at 0x2b5ee63cd128>) of role type named mtransitive_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.49/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.49/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.49/0.65 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2707ab8>, <kernel.DependentProduct object at 0x2b5ee63cdb00>) of role type named meuclidean_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.49/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.49/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.49/0.65 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2707a70>, <kernel.DependentProduct object at 0x2b5ee63cd7a0>) of role type named mpartially_functional_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.49/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.49/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.49/0.65 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2707a70>, <kernel.DependentProduct object at 0x2b5ee63cdb00>) of role type named mfunctional_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.49/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.49/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.49/0.66 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.49/0.66 FOF formula (<kernel.Constant object at 0x2707a70>, <kernel.DependentProduct object at 0x2b5ee63cd440>) of role type named mweakly_dense_type
% 0.49/0.66 Using role type
% 0.49/0.66 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.49/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.49/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.49/0.66 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.49/0.66 FOF formula (<kernel.Constant object at 0x2b5ee63cd440>, <kernel.DependentProduct object at 0x2b5ee63cdd40>) of role type named mweakly_connected_type
% 0.49/0.66 Using role type
% 0.49/0.66 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.49/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.49/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.49/0.66 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.49/0.66 FOF formula (<kernel.Constant object at 0x2b5ee63cdd40>, <kernel.DependentProduct object at 0x2b5ee63cd290>) of role type named mweakly_directed_type
% 0.49/0.66 Using role type
% 0.49/0.66 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.49/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.49/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.49/0.66 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.49/0.66 FOF formula (<kernel.Constant object at 0x2b5ee63cd098>, <kernel.DependentProduct object at 0x2b5ee63cd7e8>) of role type named mvalid_type
% 0.49/0.66 Using role type
% 0.49/0.66 Declaring mvalid:((fofType->Prop)->Prop)
% 0.49/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.49/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.49/0.66 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2b5ee63cdd40>, <kernel.DependentProduct object at 0x2b5ee63cb200>) of role type named minvalid_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring minvalid:((fofType->Prop)->Prop)
% 0.49/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.49/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.49/0.67 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2b5ee63cd2d8>, <kernel.DependentProduct object at 0x2b5ee63cb5f0>) of role type named msatisfiable_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.49/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.49/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.49/0.67 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2b5ee63cda70>, <kernel.DependentProduct object at 0x2b5ee63cb5f0>) of role type named mcountersatisfiable_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.49/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.49/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.49/0.67 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.49/0.67 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^1.ax, trying next directory
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2b5eedea0c68>, <kernel.DependentProduct object at 0x26fed88>) of role type named rel_k_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring rel_k:(fofType->(fofType->Prop))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2b5eedea0c68>, <kernel.DependentProduct object at 0x26fec68>) of role type named mbox_k_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring mbox_k:((fofType->Prop)->(fofType->Prop))
% 0.49/0.67 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_k) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V))))) of role definition named mbox_k
% 0.49/0.67 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_k) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V)))))
% 0.49/0.67 Defined: mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x26fed88>, <kernel.DependentProduct object at 0x2707b00>) of role type named mdia_k_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring mdia_k:((fofType->Prop)->(fofType->Prop))
% 0.49/0.67 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))) of role definition named mdia_k
% 0.49/0.67 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))))
% 0.49/0.67 Defined: mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2704518>, <kernel.DependentProduct object at 0x2b5eede9ed40>) of role type named p_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring p:(fofType->Prop)
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2704e18>, <kernel.DependentProduct object at 0x2b5eede9e5a8>) of role type named q_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring q:(fofType->Prop)
% 0.49/0.67 FOF formula (mvalid ((mimplies ((mor (mbox_k p)) (mbox_k q))) (mbox_k ((mor p) q)))) of role conjecture named prove
% 0.49/0.67 Conjecture to prove = (mvalid ((mimplies ((mor (mbox_k p)) (mbox_k q))) (mbox_k ((mor p) q)))):Prop
% 0.49/0.67 Parameter mu_DUMMY:mu.
% 0.49/0.67 Parameter fofType_DUMMY:fofType.
% 0.49/0.67 We need to prove ['(mvalid ((mimplies ((mor (mbox_k p)) (mbox_k q))) (mbox_k ((mor p) q))))']
% 0.49/0.67 Parameter mu:Type.
% 0.49/0.67 Parameter fofType:Type.
% 0.49/0.67 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.49/0.67 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.49/0.67 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.67 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.67 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.67 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.67 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.49/0.67 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.49/0.67 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.67 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.67 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.67 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.67 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.67 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.67 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.67 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.67 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 15.98/16.14 Definition mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))):((fofType->(fofType->Prop))->Prop).
% 15.98/16.14 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 15.98/16.14 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 15.98/16.14 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 15.98/16.14 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 15.98/16.14 Parameter rel_k:(fofType->(fofType->Prop)).
% 15.98/16.14 Definition mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 15.98/16.14 Definition mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 15.98/16.14 Parameter p:(fofType->Prop).
% 15.98/16.14 Parameter q:(fofType->Prop).
% 15.98/16.14 Trying to prove (mvalid ((mimplies ((mor (mbox_k p)) (mbox_k q))) (mbox_k ((mor p) q))))
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(p V0))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(q V0))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(q V0))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(p V0))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(q V0))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(p V0))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(q V0))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(p V0))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(p V0))=> x10) as proof of False
% 15.98/16.14 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 15.98/16.14 Found x10:False
% 15.98/16.14 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of False
% 20.75/20.94 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 20.75/20.94 Found x10:False
% 20.75/20.94 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.70/35.85 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x2:(q V0))=> x10) as proof of False
% 35.70/35.85 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.70/35.85 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x2:(q V0))=> x10) as proof of False
% 35.70/35.85 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.70/35.85 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x2:(p V0))=> x10) as proof of False
% 35.70/35.85 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 35.70/35.85 Found x20:False
% 35.70/35.85 Found (fun (x3:(p V1))=> x20) as proof of False
% 35.70/35.85 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 35.70/35.85 Found x20:False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 35.70/35.85 Found x20:False
% 35.70/35.85 Found (fun (x3:(q V1))=> x20) as proof of False
% 35.70/35.85 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 35.70/35.85 Found x20:False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x3:(q V1))=> x10) as proof of False
% 35.70/35.85 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x3:(p V1))=> x10) as proof of False
% 35.70/35.85 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 35.70/35.85 Found x20:False
% 35.70/35.85 Found (fun (x3:(p V1))=> x20) as proof of False
% 35.70/35.85 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x3:(p V1))=> x10) as proof of False
% 35.70/35.85 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 35.70/35.85 Found x20:False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 35.70/35.85 Found x20:False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 35.70/35.85 Found x20:False
% 35.70/35.85 Found (fun (x3:(q V1))=> x20) as proof of False
% 35.70/35.85 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 35.70/35.85 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x3:(q V1))=> x10) as proof of False
% 35.70/35.85 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x2:(p V0))=> x10) as proof of False
% 35.70/35.85 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x2:(q V0))=> x10) as proof of False
% 35.70/35.85 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.70/35.85 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.70/35.85 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.70/35.85 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.70/35.85 Found x10:False
% 35.70/35.85 Found (fun (x2:(p V0))=> x10) as proof of False
% 35.70/35.85 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 35.70/35.85 Found x10:False
% 42.52/42.71 Found (fun (x2:(q V0))=> x10) as proof of False
% 42.52/42.71 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 42.52/42.71 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 42.52/42.71 Found x20:False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 42.52/42.71 Found x20:False
% 42.52/42.71 Found (fun (x3:(q V1))=> x20) as proof of False
% 42.52/42.71 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 42.52/42.71 Found x20:False
% 42.52/42.71 Found (fun (x3:(p V1))=> x20) as proof of False
% 42.52/42.71 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 42.52/42.71 Found x20:False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x3:(q V1))=> x10) as proof of False
% 42.52/42.71 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x3:(p V1))=> x10) as proof of False
% 42.52/42.71 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 42.52/42.71 Found x20:False
% 42.52/42.71 Found (fun (x3:(q V1))=> x20) as proof of False
% 42.52/42.71 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 42.52/42.71 Found x20:False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x3:(p V1))=> x10) as proof of False
% 42.52/42.71 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 42.52/42.71 Found x20:False
% 42.52/42.71 Found (fun (x3:(p V1))=> x20) as proof of False
% 42.52/42.71 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 42.52/42.71 Found x20:False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x3:(q V1))=> x10) as proof of False
% 42.52/42.71 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x2:(q V0))=> x10) as proof of False
% 42.52/42.71 Found (fun (x2:(q V0))=> x10) as proof of ((q V0)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 42.52/42.71 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of False
% 42.52/42.71 Found (fun (x2:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x2:(p V0))=> x10) as proof of False
% 42.52/42.71 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 42.52/42.71 Found x20:False
% 42.52/42.71 Found (fun (x3:(p V1))=> x20) as proof of False
% 42.52/42.71 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 42.52/42.71 Found x20:False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 42.52/42.71 Found x20:False
% 42.52/42.71 Found (fun (x3:(q V1))=> x20) as proof of False
% 42.52/42.71 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 42.52/42.71 Found x20:False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x3:(p V1))=> x10) as proof of False
% 42.52/42.71 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 42.52/42.71 Found x10:False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 42.52/42.71 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.47 Found x10:False
% 71.26/71.47 Found (fun (x3:(q V1))=> x10) as proof of False
% 71.26/71.47 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 71.26/71.47 Found x10:False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.47 Found x20:False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.47 Found x20:False
% 71.26/71.47 Found (fun (x3:(p V1))=> x20) as proof of False
% 71.26/71.47 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 71.26/71.47 Found x20:False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.47 Found x20:False
% 71.26/71.47 Found (fun (x3:(q V1))=> x20) as proof of False
% 71.26/71.47 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 71.26/71.47 Found x10:False
% 71.26/71.47 Found (fun (x3:(q V1))=> x10) as proof of False
% 71.26/71.47 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 71.26/71.47 Found x10:False
% 71.26/71.47 Found (fun (x3:(p V1))=> x10) as proof of False
% 71.26/71.47 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 71.26/71.47 Found x10:False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.47 Found x10:False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.47 Found x20:False
% 71.26/71.47 Found (fun (x3:(p V1))=> x20) as proof of False
% 71.26/71.47 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 71.26/71.47 Found x20:False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.47 Found x20:False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.47 Found x20:False
% 71.26/71.47 Found (fun (x3:(q V1))=> x20) as proof of False
% 71.26/71.47 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 71.26/71.47 Found x10:False
% 71.26/71.47 Found (fun (x3:(q V1))=> x10) as proof of False
% 71.26/71.47 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 71.26/71.47 Found x10:False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.47 Found x10:False
% 71.26/71.47 Found (fun (x3:(p V1))=> x10) as proof of False
% 71.26/71.47 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 71.26/71.47 Found x10:False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.47 Found x10:False
% 71.26/71.47 Found (fun (x3:(q V1))=> x10) as proof of False
% 71.26/71.47 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 71.26/71.47 Found x20:False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 71.26/71.47 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.47 Found x20:False
% 71.26/71.47 Found (fun (x3:(p V1))=> x20) as proof of False
% 71.26/71.47 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 71.26/71.48 Found x10:False
% 71.26/71.48 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 71.26/71.48 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.48 Found x20:False
% 71.26/71.48 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 71.26/71.48 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.48 Found x10:False
% 71.26/71.48 Found (fun (x3:(p V1))=> x10) as proof of False
% 71.26/71.48 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 71.26/71.48 Found x20:False
% 71.26/71.48 Found (fun (x3:(q V1))=> x20) as proof of False
% 71.26/71.48 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 71.26/71.48 Found x10:False
% 71.26/71.48 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 71.26/71.48 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 71.26/71.48 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 71.26/71.48 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 71.26/71.48 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 71.26/71.48 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 72.58/72.76 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 72.58/72.76 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 72.58/72.76 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.58/72.76 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.58/72.76 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 72.58/72.76 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 72.58/72.76 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 72.58/72.76 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 72.58/72.76 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 72.58/72.76 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 72.58/72.76 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.58/72.76 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.58/72.76 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 72.58/72.76 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 72.58/72.76 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 72.58/72.76 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.58/72.76 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.58/72.76 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 72.58/72.76 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 72.58/72.76 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 72.58/72.76 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 72.58/72.76 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 72.58/72.76 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 72.58/72.76 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 72.58/72.76 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 72.58/72.76 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 72.58/72.76 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 72.58/72.76 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 72.58/72.76 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 72.58/72.76 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 72.58/72.76 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 72.58/72.76 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 72.58/72.76 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 72.58/72.76 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 72.58/72.76 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 72.58/72.76 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 72.58/72.76 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.58/72.76 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.58/72.76 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 72.58/72.76 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 72.58/72.76 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 72.58/72.76 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.58/72.76 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.58/72.76 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 72.58/72.76 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 72.58/72.76 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 72.58/72.76 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 72.58/72.76 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 72.58/72.76 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 72.58/72.76 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 72.58/72.76 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 72.58/72.76 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 72.58/72.76 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 72.58/72.76 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 72.58/72.76 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 72.58/72.76 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 72.58/72.76 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 72.58/72.76 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 72.58/72.76 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 72.58/72.76 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 72.58/72.76 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 72.68/72.86 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 72.68/72.86 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.68/72.86 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.68/72.86 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 72.68/72.86 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 72.68/72.86 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 72.68/72.86 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.68/72.86 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 72.68/72.86 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 72.68/72.86 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 72.68/72.86 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 72.68/72.86 Found x20:False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 72.68/72.86 Found x20:False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 72.68/72.86 Found x20:False
% 72.68/72.86 Found (fun (x3:(q V1))=> x20) as proof of False
% 72.68/72.86 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 72.68/72.86 Found x20:False
% 72.68/72.86 Found (fun (x3:(p V1))=> x20) as proof of False
% 72.68/72.86 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 72.68/72.86 Found x10:False
% 72.68/72.86 Found (fun (x3:(p V1))=> x10) as proof of False
% 72.68/72.86 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 72.68/72.86 Found x20:False
% 72.68/72.86 Found (fun (x3:(q V1))=> x20) as proof of False
% 72.68/72.86 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 72.68/72.86 Found x10:False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 72.68/72.86 Found x10:False
% 72.68/72.86 Found (fun (x3:(q V1))=> x10) as proof of False
% 72.68/72.86 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 72.68/72.86 Found x10:False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 72.68/72.86 Found x20:False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 72.68/72.86 Found x20:False
% 72.68/72.86 Found (fun (x3:(p V1))=> x20) as proof of False
% 72.68/72.86 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 72.68/72.86 Found x20:False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 72.68/72.86 Found x10:False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 72.68/72.86 Found x10:False
% 72.68/72.86 Found (fun (x3:(q V1))=> x10) as proof of False
% 72.68/72.86 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 72.68/72.86 Found x10:False
% 72.68/72.86 Found (fun (x3:(p V1))=> x10) as proof of False
% 72.68/72.86 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 72.68/72.86 Found x10:False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 72.68/72.86 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 82.90/83.08 Found x10:False
% 82.90/83.08 Found (fun (x3:(q V1))=> x10) as proof of False
% 82.90/83.08 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 82.90/83.08 Found x20:False
% 82.90/83.08 Found (fun (x3:(q V1))=> x20) as proof of False
% 82.90/83.08 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 82.90/83.08 Found x10:False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 82.90/83.08 Found x10:False
% 82.90/83.08 Found (fun (x3:(p V1))=> x10) as proof of False
% 82.90/83.08 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 82.90/83.08 Found x20:False
% 82.90/83.08 Found (fun (x3:(p V1))=> x20) as proof of False
% 82.90/83.08 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 82.90/83.08 Found x20:False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 82.90/83.08 Found x10:False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 82.90/83.08 Found x20:False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 82.90/83.08 Found x10:False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 82.90/83.08 Found x10:False
% 82.90/83.08 Found (fun (x3:(q V1))=> x10) as proof of False
% 82.90/83.08 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 82.90/83.08 Found x20:False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 82.90/83.08 Found x20:False
% 82.90/83.08 Found (fun (x3:(p V1))=> x20) as proof of False
% 82.90/83.08 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 82.90/83.08 Found x20:False
% 82.90/83.08 Found (fun (x3:(q V1))=> x20) as proof of False
% 82.90/83.08 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 82.90/83.08 Found x10:False
% 82.90/83.08 Found (fun (x3:(p V1))=> x10) as proof of False
% 82.90/83.08 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 82.90/83.08 Found x10:False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 82.90/83.08 Found x20:False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 82.90/83.08 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 82.90/83.08 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 82.90/83.08 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 82.90/83.08 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 82.90/83.08 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 82.90/83.08 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 82.90/83.08 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 82.90/83.08 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 82.90/83.08 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 82.90/83.08 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 82.90/83.08 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 82.90/83.08 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 84.07/84.28 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 84.07/84.28 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 84.07/84.28 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 84.07/84.28 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 84.07/84.28 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 84.07/84.28 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 84.07/84.28 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 84.07/84.28 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 84.07/84.28 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 84.07/84.28 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 84.07/84.28 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 84.07/84.28 Found x20:False
% 84.07/84.28 Found (fun (x3:(q V1))=> x20) as proof of False
% 84.07/84.28 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 84.07/84.28 Found x20:False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 84.07/84.28 Found x20:False
% 84.07/84.28 Found (fun (x3:(p V1))=> x20) as proof of False
% 84.07/84.28 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 84.07/84.28 Found x20:False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 84.07/84.28 Found x10:False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.07/84.28 Found x10:False
% 84.07/84.28 Found (fun (x3:(q V1))=> x10) as proof of False
% 84.07/84.28 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 84.07/84.28 Found x10:False
% 84.07/84.28 Found (fun (x3:(p V1))=> x10) as proof of False
% 84.07/84.28 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 84.07/84.28 Found x20:False
% 84.07/84.28 Found (fun (x3:(q V1))=> x20) as proof of False
% 84.07/84.28 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 84.07/84.28 Found x20:False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 84.07/84.28 Found x20:False
% 84.07/84.28 Found (fun (x3:(p V1))=> x20) as proof of False
% 84.07/84.28 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 84.07/84.28 Found x10:False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.07/84.28 Found x20:False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 84.07/84.28 Found x10:False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.07/84.28 Found x10:False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.07/84.28 Found x10:False
% 84.07/84.28 Found (fun (x3:(p V1))=> x10) as proof of False
% 84.07/84.28 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 84.07/84.28 Found x10:False
% 84.07/84.28 Found (fun (x3:(q V1))=> x10) as proof of False
% 84.07/84.28 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 84.07/84.28 Found x10:False
% 84.07/84.28 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.61/84.78 Found x10:False
% 84.61/84.78 Found (fun (x3:(p V1))=> x10) as proof of False
% 84.61/84.78 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 84.61/84.78 Found x20:False
% 84.61/84.78 Found (fun (x3:(q V1))=> x20) as proof of False
% 84.61/84.78 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 84.61/84.78 Found x10:False
% 84.61/84.78 Found (fun (x3:(q V1))=> x10) as proof of False
% 84.61/84.78 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 84.61/84.78 Found x20:False
% 84.61/84.78 Found (fun (x3:(p V1))=> x20) as proof of False
% 84.61/84.78 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 84.61/84.78 Found x20:False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 84.61/84.78 Found x20:False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 84.61/84.78 Found x10:False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.61/84.78 Found x10:False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.61/84.78 Found x20:False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 84.61/84.78 Found x20:False
% 84.61/84.78 Found (fun (x3:(p V1))=> x20) as proof of False
% 84.61/84.78 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 84.61/84.78 Found x20:False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 84.61/84.78 Found x10:False
% 84.61/84.78 Found (fun (x3:(q V1))=> x10) as proof of False
% 84.61/84.78 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 84.61/84.78 Found x10:False
% 84.61/84.78 Found (fun (x3:(p V1))=> x10) as proof of False
% 84.61/84.78 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 84.61/84.78 Found x10:False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.61/84.78 Found x20:False
% 84.61/84.78 Found (fun (x3:(q V1))=> x20) as proof of False
% 84.61/84.78 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 84.61/84.78 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 84.61/84.78 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 84.61/84.78 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 84.61/84.78 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 84.61/84.78 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 84.61/84.78 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 84.61/84.78 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 84.61/84.78 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 84.61/84.78 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 84.61/84.78 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 84.61/84.78 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 84.61/84.78 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 84.61/84.78 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 84.61/84.81 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 84.61/84.81 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 84.61/84.81 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 84.61/84.81 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 84.61/84.81 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 84.61/84.81 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 84.61/84.81 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 84.61/84.81 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 84.61/84.81 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 84.61/84.81 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 84.61/84.81 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 84.61/84.81 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 84.61/84.81 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 84.61/84.81 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 84.61/84.81 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 84.61/84.81 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 84.61/84.81 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 84.61/84.81 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 84.61/84.81 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 84.61/84.81 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 84.61/84.81 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 84.61/84.81 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 84.61/84.81 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 84.61/84.81 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 84.61/84.81 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 84.61/84.81 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 84.61/84.81 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 84.61/84.81 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 84.61/84.81 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 84.61/84.81 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 84.61/84.81 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 84.61/84.81 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 84.61/84.81 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 84.61/84.81 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 98.04/98.23 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 98.04/98.23 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 98.04/98.23 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 98.04/98.23 Found x20:False
% 98.04/98.23 Found (fun (x3:(q V1))=> x20) as proof of False
% 98.04/98.23 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 98.04/98.23 Found x20:False
% 98.04/98.23 Found (fun (x3:(p V1))=> x20) as proof of False
% 98.04/98.23 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 98.04/98.23 Found x20:False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 98.04/98.23 Found x20:False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 98.04/98.23 Found x20:False
% 98.04/98.23 Found (fun (x3:(q V1))=> x20) as proof of False
% 98.04/98.23 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 98.04/98.23 Found x20:False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 98.04/98.23 Found x20:False
% 98.04/98.23 Found (fun (x3:(p V1))=> x20) as proof of False
% 98.04/98.23 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 98.04/98.23 Found x20:False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 98.04/98.23 Found x10:False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 98.04/98.23 Found x10:False
% 98.04/98.23 Found (fun (x3:(p V1))=> x10) as proof of False
% 98.04/98.23 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 98.04/98.23 Found x10:False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 98.04/98.23 Found x10:False
% 98.04/98.23 Found (fun (x3:(q V1))=> x10) as proof of False
% 98.04/98.23 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 98.04/98.23 Found x10:False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 98.04/98.23 Found x10:False
% 98.04/98.23 Found (fun (x3:(q V1))=> x10) as proof of False
% 98.04/98.23 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 98.04/98.23 Found x10:False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 98.04/98.23 Found x10:False
% 98.04/98.23 Found (fun (x3:(p V1))=> x10) as proof of False
% 98.04/98.23 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 98.04/98.23 Found x20:False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 98.04/98.23 Found x10:False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 98.04/98.23 Found x20:False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 98.04/98.23 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 98.04/98.23 Found x10:False
% 98.04/98.23 Found (fun (x3:(p V1))=> x10) as proof of False
% 98.04/98.23 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 98.04/98.23 Found x10:False
% 98.04/98.23 Found (fun (x3:(q V1))=> x10) as proof of False
% 98.04/98.23 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 98.15/98.37 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 98.15/98.37 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 98.15/98.37 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 98.15/98.37 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 98.15/98.37 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 98.15/98.37 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 98.15/98.37 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 98.15/98.37 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 98.15/98.37 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 98.15/98.37 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 98.15/98.37 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 98.15/98.37 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 98.15/98.37 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 98.15/98.37 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 98.15/98.37 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 98.15/98.37 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 98.15/98.37 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 98.15/98.37 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 98.15/98.37 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 98.15/98.37 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 98.15/98.37 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 98.15/98.37 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 98.15/98.37 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 98.15/98.37 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 98.15/98.37 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 98.15/98.37 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 98.15/98.37 Found x20:False
% 98.15/98.37 Found (fun (x3:(p V1))=> x20) as proof of False
% 98.15/98.37 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 98.15/98.37 Found x10:False
% 98.15/98.37 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 98.15/98.37 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 98.15/98.37 Found x20:False
% 98.15/98.37 Found (fun (x3:(q V1))=> x20) as proof of False
% 98.15/98.37 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 98.15/98.37 Found x10:False
% 98.15/98.37 Found (fun (x3:(p V1))=> x10) as proof of False
% 98.15/98.37 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 98.15/98.37 Found x10:False
% 98.15/98.37 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 98.15/98.37 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 102.01/102.25 Found x10:False
% 102.01/102.25 Found (fun (x3:(q V1))=> x10) as proof of False
% 102.01/102.25 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 102.01/102.25 Found x20:False
% 102.01/102.25 Found (fun (x3:(p V1))=> x20) as proof of False
% 102.01/102.25 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 102.01/102.25 Found x10:False
% 102.01/102.25 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 102.01/102.25 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 102.01/102.25 Found x20:False
% 102.01/102.25 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 102.01/102.25 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 102.01/102.25 Found x20:False
% 102.01/102.25 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 102.01/102.25 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 102.01/102.25 Found x20:False
% 102.01/102.25 Found (fun (x3:(q V1))=> x20) as proof of False
% 102.01/102.25 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 102.01/102.25 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 102.01/102.25 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 102.01/102.25 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 102.01/102.25 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 102.01/102.25 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 102.01/102.25 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 102.01/102.25 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 102.01/102.25 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 102.01/102.25 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 102.01/102.25 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 102.01/102.25 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 102.01/102.25 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 102.01/102.25 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 102.01/102.25 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 102.01/102.25 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 102.01/102.25 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 102.01/102.25 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 102.01/102.25 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 102.01/102.25 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 102.01/102.25 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 102.01/102.25 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 102.01/102.25 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 102.01/102.25 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 102.01/102.25 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 102.01/102.25 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 102.01/102.25 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 114.81/115.06 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 114.81/115.06 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 114.81/115.06 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 114.81/115.06 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 114.81/115.06 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 114.81/115.06 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 114.81/115.06 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 114.81/115.06 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 114.81/115.06 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 114.81/115.06 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 114.81/115.06 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 114.81/115.06 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 114.81/115.06 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 114.81/115.06 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 114.81/115.06 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 114.81/115.06 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 114.81/115.06 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 114.81/115.06 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 114.81/115.06 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 114.81/115.06 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 114.81/115.06 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 114.81/115.06 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 114.81/115.06 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 114.81/115.06 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 114.81/115.06 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 114.81/115.06 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 114.81/115.06 Found x20:False
% 114.81/115.06 Found (fun (x3:(q V1))=> x20) as proof of False
% 114.81/115.06 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 114.81/115.06 Found x20:False
% 114.81/115.06 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 114.81/115.06 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 114.81/115.06 Found x20:False
% 114.81/115.06 Found (fun (x3:(p V1))=> x20) as proof of False
% 114.81/115.06 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 114.81/115.06 Found x20:False
% 114.81/115.06 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x20:False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(q V1))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 115.34/115.56 Found x20:False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x20:False
% 115.34/115.56 Found (fun (x3:(q V1))=> x20) as proof of False
% 115.34/115.56 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(p V1))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 115.34/115.56 Found x20:False
% 115.34/115.56 Found (fun (x3:(p V1))=> x20) as proof of False
% 115.34/115.56 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(q V1))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(p V1))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(q V1))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(p V1))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 115.34/115.56 Found x20:False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x20:False
% 115.34/115.56 Found (fun (x3:(p V1))=> x20) as proof of False
% 115.34/115.56 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 115.34/115.56 Found x20:False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x20:False
% 115.34/115.56 Found (fun (x3:(q V1))=> x20) as proof of False
% 115.34/115.56 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 115.34/115.56 Found x20:False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x20:False
% 115.34/115.56 Found (fun (x3:(q V1))=> x20) as proof of False
% 115.34/115.56 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(q V1))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(p V1))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 115.34/115.56 Found x20:False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x20:False
% 115.34/115.56 Found (fun (x3:(p V1))=> x20) as proof of False
% 115.34/115.56 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 115.34/115.56 Found x10:False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 115.34/115.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 115.34/115.56 Found x10:False
% 121.32/121.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 121.32/121.56 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 121.32/121.56 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 121.32/121.56 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 121.32/121.56 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 121.32/121.56 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 121.32/121.56 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 121.32/121.56 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 121.32/121.56 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 121.32/121.56 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 121.32/121.56 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 121.32/121.56 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 121.32/121.56 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 121.32/121.56 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 121.32/121.56 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 121.32/121.56 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 121.32/121.56 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 121.32/121.56 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 121.32/121.56 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 121.32/121.56 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 121.32/121.56 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 121.32/121.56 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 121.32/121.56 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 121.32/121.56 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 121.32/121.56 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 121.32/121.56 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 121.32/121.56 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 121.32/121.56 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 121.32/121.56 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 121.32/121.56 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 121.32/121.56 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 121.32/121.56 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 121.32/121.56 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 121.32/121.56 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 121.32/121.56 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 121.42/121.60 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 121.42/121.60 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 121.42/121.60 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 121.42/121.60 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 121.42/121.60 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 121.42/121.60 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 121.42/121.60 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 121.42/121.60 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 121.42/121.60 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 121.42/121.60 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 121.42/121.60 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 121.42/121.60 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 121.42/121.60 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 121.42/121.60 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 121.42/121.60 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 121.42/121.60 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 121.42/121.60 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 121.42/121.60 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 121.42/121.60 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 121.42/121.60 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 121.42/121.60 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 121.42/121.60 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 121.42/121.60 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 121.42/121.60 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 121.42/121.60 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 121.42/121.60 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 121.42/121.60 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 121.42/121.60 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 121.42/121.60 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 121.42/121.60 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 121.42/121.60 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 154.53/154.79 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 154.53/154.79 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 154.53/154.79 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.53/154.79 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.53/154.79 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 154.53/154.79 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 154.53/154.79 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 154.53/154.79 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.53/154.79 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.53/154.79 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 154.53/154.79 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 154.53/154.79 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 154.53/154.79 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 154.53/154.79 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 154.53/154.79 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 154.53/154.79 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.53/154.79 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.53/154.79 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 154.53/154.79 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 154.53/154.79 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 154.53/154.79 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.53/154.79 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.53/154.79 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 154.53/154.79 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 154.53/154.79 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 154.53/154.79 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 154.53/154.79 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 154.53/154.79 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 154.53/154.79 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.53/154.79 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.53/154.79 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 154.99/155.21 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 154.99/155.21 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 154.99/155.21 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.99/155.21 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.99/155.21 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 154.99/155.21 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 154.99/155.21 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 154.99/155.21 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 154.99/155.21 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 154.99/155.21 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 154.99/155.21 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.99/155.21 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.99/155.21 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 154.99/155.21 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 154.99/155.21 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 154.99/155.21 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.99/155.21 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.99/155.21 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 154.99/155.21 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 154.99/155.21 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 154.99/155.21 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 154.99/155.21 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 154.99/155.21 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 154.99/155.21 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.99/155.21 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.99/155.21 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 154.99/155.21 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 154.99/155.21 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 154.99/155.21 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.99/155.21 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 154.99/155.21 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 154.99/155.21 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 154.99/155.21 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 158.33/158.54 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 158.33/158.54 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 158.33/158.54 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 158.33/158.54 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 158.33/158.54 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 158.33/158.54 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 158.33/158.54 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 158.33/158.54 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 158.33/158.54 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 158.33/158.54 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 158.33/158.54 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 158.33/158.54 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 158.33/158.54 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 158.33/158.54 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 158.33/158.54 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 158.33/158.54 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 158.33/158.54 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 158.33/158.54 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 158.33/158.54 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 158.33/158.54 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 158.33/158.54 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 158.33/158.54 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 158.33/158.54 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 158.33/158.54 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 158.33/158.54 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 158.33/158.54 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 158.33/158.54 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 158.33/158.54 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 161.99/162.22 Found x20:False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 161.99/162.22 Found x20:False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 161.99/162.22 Found x20:False
% 161.99/162.22 Found (fun (x3:(q V1))=> x20) as proof of False
% 161.99/162.22 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 161.99/162.22 Found x20:False
% 161.99/162.22 Found (fun (x3:(p V1))=> x20) as proof of False
% 161.99/162.22 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 161.99/162.22 Found x10:False
% 161.99/162.22 Found (fun (x3:(p V1))=> x10) as proof of False
% 161.99/162.22 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 161.99/162.22 Found x10:False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 161.99/162.22 Found x10:False
% 161.99/162.22 Found (fun (x3:(q V1))=> x10) as proof of False
% 161.99/162.22 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 161.99/162.22 Found x10:False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 161.99/162.22 Found x20:False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 161.99/162.22 Found x10:False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 161.99/162.22 Found x10:False
% 161.99/162.22 Found (fun (x3:(p V1))=> x10) as proof of False
% 161.99/162.22 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 161.99/162.22 Found x10:False
% 161.99/162.22 Found (fun (x3:(q V1))=> x10) as proof of False
% 161.99/162.22 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 161.99/162.22 Found x20:False
% 161.99/162.22 Found (fun (x3:(q V1))=> x20) as proof of False
% 161.99/162.22 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 161.99/162.22 Found x20:False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 161.99/162.22 Found x20:False
% 161.99/162.22 Found (fun (x3:(p V1))=> x20) as proof of False
% 161.99/162.22 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 161.99/162.22 Found x10:False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 161.99/162.22 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 161.99/162.22 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 161.99/162.22 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 161.99/162.22 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 161.99/162.22 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 161.99/162.22 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 161.99/162.22 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 161.99/162.22 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 161.99/162.22 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 161.99/162.22 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 161.99/162.22 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 161.99/162.22 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 162.11/162.32 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 162.11/162.32 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 162.11/162.32 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 162.11/162.32 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 162.11/162.32 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 162.11/162.32 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 162.11/162.32 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 162.11/162.32 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 162.11/162.32 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 162.11/162.32 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 162.11/162.32 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 162.11/162.32 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 162.11/162.32 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 162.11/162.32 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 162.11/162.32 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 162.11/162.32 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 162.11/162.32 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 162.11/162.32 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 162.11/162.32 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 162.11/162.32 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 162.11/162.32 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 162.11/162.32 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 162.11/162.32 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 162.11/162.32 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 162.11/162.32 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 162.11/162.32 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 162.11/162.32 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 162.11/162.32 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 162.11/162.32 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 162.11/162.32 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 162.11/162.32 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 162.11/162.32 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 162.11/162.32 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 162.11/162.32 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 162.57/162.78 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 162.57/162.78 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 162.57/162.78 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 162.57/162.78 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 162.57/162.78 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 162.57/162.78 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 162.57/162.78 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 162.57/162.78 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 162.57/162.78 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 162.57/162.78 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 162.57/162.78 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 162.57/162.78 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 162.57/162.78 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 162.57/162.78 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 162.57/162.78 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 162.57/162.78 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 162.57/162.78 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 162.57/162.78 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 162.57/162.78 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 162.57/162.78 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 162.57/162.78 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 162.57/162.78 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 162.57/162.78 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 162.57/162.78 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 162.57/162.78 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 162.57/162.78 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 162.57/162.78 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 162.57/162.78 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 162.57/162.78 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 162.57/162.78 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 164.96/165.18 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 164.96/165.18 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 164.96/165.18 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 164.96/165.18 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 164.96/165.18 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 164.96/165.18 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 164.96/165.18 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 164.96/165.18 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 164.96/165.18 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 164.96/165.18 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 164.96/165.18 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 164.96/165.18 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 164.96/165.18 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 164.96/165.18 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 164.96/165.18 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 164.96/165.18 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 164.96/165.18 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 164.96/165.18 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 164.96/165.18 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 164.96/165.18 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 164.96/165.18 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 164.96/165.18 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 164.96/165.18 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 164.96/165.18 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 164.96/165.18 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 164.96/165.18 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 164.96/165.18 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 164.96/165.18 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 164.96/165.18 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 164.96/165.18 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 164.96/165.18 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 164.99/165.20 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 164.99/165.20 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 164.99/165.20 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 164.99/165.20 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 164.99/165.20 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 164.99/165.20 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 164.99/165.20 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 164.99/165.20 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 164.99/165.20 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 164.99/165.20 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 164.99/165.20 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 164.99/165.20 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 164.99/165.20 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 164.99/165.20 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 164.99/165.20 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 164.99/165.20 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 164.99/165.20 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 164.99/165.20 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 164.99/165.20 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 164.99/165.20 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 164.99/165.20 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 164.99/165.20 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 164.99/165.20 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 164.99/165.20 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 164.99/165.20 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 164.99/165.20 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 164.99/165.20 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 164.99/165.20 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 164.99/165.20 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 164.99/165.20 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 164.99/165.20 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 164.99/165.20 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 184.96/185.18 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 184.96/185.18 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 184.96/185.18 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 184.96/185.18 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 184.96/185.18 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 184.96/185.18 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 184.96/185.18 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 184.96/185.18 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 184.96/185.18 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 184.96/185.18 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 184.96/185.18 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 184.96/185.18 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 184.96/185.18 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 184.96/185.18 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 184.96/185.18 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 184.96/185.18 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 184.96/185.18 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 184.96/185.18 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 184.96/185.18 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 184.96/185.18 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 184.96/185.18 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 184.96/185.18 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 184.96/185.18 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 184.96/185.18 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 184.96/185.18 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 184.96/185.18 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 184.96/185.18 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 184.96/185.18 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 184.96/185.18 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 185.19/185.41 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 185.19/185.41 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 185.19/185.41 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 185.19/185.41 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 185.19/185.41 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 185.19/185.41 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 185.19/185.41 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 185.19/185.41 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 185.19/185.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 185.19/185.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 185.19/185.41 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 185.19/185.41 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 185.19/185.41 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 185.19/185.41 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 185.19/185.41 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 185.19/185.41 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 185.19/185.41 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 185.19/185.41 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 185.19/185.41 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 185.19/185.41 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 185.19/185.41 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 185.19/185.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 185.19/185.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 185.19/185.41 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 185.19/185.41 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 185.19/185.41 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 185.19/185.41 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 185.19/185.41 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 185.19/185.41 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 185.19/185.41 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 185.19/185.41 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 185.19/185.41 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 185.19/185.41 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 185.19/185.41 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 191.16/191.42 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 191.16/191.42 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 191.16/191.42 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 191.16/191.42 Found x20:False
% 191.16/191.42 Found (fun (x3:(q V1))=> x20) as proof of False
% 191.16/191.42 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 191.16/191.42 Found x20:False
% 191.16/191.42 Found (fun (x3:(p V1))=> x20) as proof of False
% 191.16/191.42 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 191.16/191.42 Found x20:False
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 191.16/191.42 Found x20:False
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 191.16/191.42 Found x10:False
% 191.16/191.42 Found (fun (x3:(q V1))=> x10) as proof of False
% 191.16/191.42 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 191.16/191.42 Found x10:False
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 191.16/191.42 Found x10:False
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 191.16/191.42 Found x10:False
% 191.16/191.42 Found (fun (x3:(p V1))=> x10) as proof of False
% 191.16/191.42 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 191.16/191.42 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 191.16/191.42 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 191.16/191.42 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 191.16/191.42 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 191.16/191.42 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 191.16/191.42 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 191.16/191.42 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 191.16/191.42 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 191.16/191.42 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 191.16/191.42 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 191.16/191.42 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 191.16/191.42 Found x10:False
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 191.16/191.42 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 193.13/193.39 Found x20:False
% 193.13/193.39 Found (fun (x3:(q V1))=> x20) as proof of False
% 193.13/193.39 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 193.13/193.39 Found x20:False
% 193.13/193.39 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 193.13/193.39 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 193.13/193.39 Found x20:False
% 193.13/193.39 Found (fun (x3:(p V1))=> x20) as proof of False
% 193.13/193.39 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 193.13/193.39 Found x10:False
% 193.13/193.39 Found (fun (x3:(q V1))=> x10) as proof of False
% 193.13/193.39 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 193.13/193.39 Found x10:False
% 193.13/193.39 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 193.13/193.39 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 193.13/193.39 Found x10:False
% 193.13/193.39 Found (fun (x3:(p V1))=> x10) as proof of False
% 193.13/193.39 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 193.13/193.39 Found x20:False
% 193.13/193.39 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 193.13/193.39 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 193.13/193.39 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 193.13/193.39 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.13/193.39 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.13/193.39 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 193.13/193.39 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 193.13/193.39 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 193.13/193.39 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.13/193.39 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.13/193.39 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 193.13/193.39 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 193.13/193.39 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.13/193.39 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.13/193.39 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.13/193.39 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 193.13/193.39 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.13/193.39 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.13/193.39 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 193.13/193.39 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 193.13/193.39 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 193.13/193.39 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.13/193.39 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.13/193.39 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 193.13/193.39 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 193.13/193.39 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 193.13/193.39 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 193.13/193.41 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 193.13/193.41 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 193.13/193.41 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.13/193.41 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.13/193.41 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 193.13/193.41 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 193.13/193.41 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 193.13/193.41 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.13/193.41 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.13/193.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 193.13/193.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 193.13/193.41 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.13/193.41 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.13/193.41 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.13/193.41 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 193.13/193.41 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.13/193.41 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.13/193.41 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 193.13/193.41 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 193.13/193.41 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 193.13/193.41 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.13/193.41 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.13/193.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 193.13/193.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 193.13/193.41 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 193.13/193.41 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 193.13/193.41 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 193.13/193.41 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 193.13/193.41 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.13/193.41 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.13/193.41 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 193.23/193.47 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 193.23/193.47 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 193.23/193.47 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.23/193.47 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.23/193.47 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 193.23/193.47 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 193.23/193.47 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.23/193.47 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.23/193.47 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.23/193.47 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 193.23/193.47 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.23/193.47 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.23/193.47 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 193.23/193.47 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 193.23/193.47 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 193.23/193.47 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.23/193.47 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.23/193.47 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 193.23/193.47 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 193.23/193.47 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 193.23/193.47 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 193.23/193.47 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 193.23/193.47 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 193.23/193.47 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.23/193.47 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.23/193.47 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 193.23/193.47 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 193.23/193.47 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 193.23/193.47 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.23/193.47 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.23/193.47 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 193.23/193.47 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 193.23/193.47 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.33/193.55 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.33/193.55 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.33/193.55 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 193.33/193.55 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.33/193.55 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.33/193.55 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 193.33/193.55 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 193.33/193.55 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 193.33/193.55 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.33/193.55 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 193.33/193.55 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 193.33/193.55 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 193.33/193.55 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 193.33/193.55 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 193.33/193.55 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 193.33/193.55 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 193.33/193.55 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.33/193.55 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.33/193.55 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 193.33/193.55 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 193.33/193.55 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 193.33/193.55 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.33/193.55 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 193.33/193.55 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 193.33/193.55 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 193.33/193.55 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.33/193.55 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 193.33/193.55 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 196.17/196.39 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 196.17/196.39 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 196.17/196.39 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 196.17/196.39 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 196.17/196.39 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 196.17/196.39 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 196.17/196.39 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 196.17/196.39 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 196.17/196.39 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 196.17/196.39 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 196.17/196.39 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 196.17/196.39 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 196.17/196.39 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 196.17/196.39 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 196.17/196.39 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 196.17/196.39 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 196.17/196.39 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 196.17/196.39 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 196.17/196.39 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 196.17/196.39 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 196.17/196.39 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 196.17/196.39 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 196.17/196.39 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 196.17/196.39 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 196.17/196.39 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 196.17/196.39 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 196.17/196.39 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 196.17/196.39 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 196.17/196.39 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 196.17/196.39 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 196.17/196.39 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 196.17/196.39 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 196.17/196.39 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 196.17/196.39 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 221.80/222.05 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 221.80/222.05 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 221.80/222.05 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 221.80/222.05 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 221.80/222.05 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 221.80/222.05 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 221.80/222.05 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 221.80/222.05 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 221.80/222.05 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 221.80/222.05 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 221.80/222.05 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 221.80/222.05 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 221.80/222.05 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 221.80/222.05 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 221.80/222.05 Found x20:False
% 221.80/222.05 Found (fun (x3:(q V1))=> x20) as proof of False
% 221.80/222.05 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 221.80/222.05 Found x20:False
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 221.80/222.05 Found x20:False
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 221.80/222.05 Found x20:False
% 221.80/222.05 Found (fun (x3:(p V1))=> x20) as proof of False
% 221.80/222.05 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 221.80/222.05 Found x10:False
% 221.80/222.05 Found (fun (x3:(p V1))=> x10) as proof of False
% 221.80/222.05 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 221.80/222.05 Found x10:False
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 221.80/222.05 Found x10:False
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 221.80/222.05 Found x10:False
% 221.80/222.05 Found (fun (x3:(q V1))=> x10) as proof of False
% 221.80/222.05 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 221.80/222.05 Found x10:False
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 221.80/222.05 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 226.03/226.29 Found x10:False
% 226.03/226.29 Found (fun (x3:(p V1))=> x10) as proof of False
% 226.03/226.29 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 226.03/226.29 Found x20:False
% 226.03/226.29 Found (fun (x3:(q V1))=> x20) as proof of False
% 226.03/226.29 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 226.03/226.29 Found x10:False
% 226.03/226.29 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 226.03/226.29 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 226.03/226.29 Found x20:False
% 226.03/226.29 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 226.03/226.29 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 226.03/226.29 Found x20:False
% 226.03/226.29 Found (fun (x3:(p V1))=> x20) as proof of False
% 226.03/226.29 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 226.03/226.29 Found x20:False
% 226.03/226.29 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 226.03/226.29 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 226.03/226.29 Found x10:False
% 226.03/226.29 Found (fun (x3:(q V1))=> x10) as proof of False
% 226.03/226.29 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 226.03/226.29 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 226.03/226.29 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 226.03/226.29 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 226.03/226.29 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 226.03/226.29 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 226.03/226.29 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 226.03/226.29 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 226.03/226.29 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 226.03/226.29 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 226.03/226.29 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 226.03/226.29 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 226.03/226.29 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 226.03/226.29 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 226.03/226.29 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 226.03/226.29 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 226.03/226.29 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 226.03/226.29 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 226.03/226.29 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 226.03/226.29 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 226.03/226.29 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 226.03/226.29 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 226.03/226.29 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 226.03/226.29 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 226.03/226.29 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 226.03/226.29 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 232.42/232.72 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 232.42/232.72 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 232.42/232.72 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 232.42/232.72 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 232.42/232.72 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 232.42/232.72 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 232.42/232.72 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 232.42/232.72 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 232.42/232.72 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 232.42/232.72 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 232.42/232.72 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 232.42/232.72 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 232.42/232.72 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 232.42/232.72 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 232.42/232.72 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 232.42/232.72 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 232.42/232.72 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 232.42/232.72 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 232.42/232.72 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 232.42/232.72 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 232.42/232.72 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 232.42/232.72 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 232.42/232.72 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 232.42/232.72 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 232.42/232.72 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 232.42/232.72 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 232.42/232.72 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 232.42/232.72 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 232.42/232.72 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 232.42/232.72 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 232.42/232.72 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 232.42/232.72 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 233.19/233.45 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 233.19/233.45 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.19/233.45 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.19/233.45 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 233.19/233.45 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 233.19/233.45 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.19/233.45 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.19/233.45 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.19/233.45 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 233.19/233.45 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.19/233.45 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.19/233.45 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 233.19/233.45 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 233.19/233.45 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 233.19/233.45 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.19/233.45 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.19/233.45 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 233.19/233.45 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 233.19/233.45 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.19/233.45 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.19/233.45 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.19/233.45 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 233.19/233.45 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.19/233.45 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.19/233.45 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 233.19/233.45 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 233.19/233.45 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 233.19/233.45 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.19/233.45 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.19/233.45 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 233.19/233.45 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 233.19/233.45 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 233.19/233.46 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 233.19/233.46 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 233.19/233.46 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 233.19/233.46 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.19/233.46 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.19/233.46 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 233.19/233.46 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 233.19/233.46 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 233.19/233.46 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.19/233.46 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.19/233.46 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 233.19/233.46 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 233.19/233.46 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 233.19/233.46 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 233.19/233.46 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 233.19/233.46 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 233.19/233.46 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.19/233.46 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.19/233.46 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 233.19/233.46 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 233.19/233.46 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 233.19/233.46 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.19/233.46 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.19/233.46 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 233.19/233.46 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 233.19/233.46 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.19/233.46 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.19/233.46 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.30/233.57 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 233.30/233.57 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.30/233.57 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.30/233.57 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 233.30/233.57 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 233.30/233.57 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 233.30/233.57 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.30/233.57 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.30/233.57 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 233.30/233.57 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 233.30/233.57 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.30/233.57 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.30/233.57 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.30/233.57 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 233.30/233.57 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.30/233.57 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.30/233.57 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 233.30/233.57 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 233.30/233.57 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 233.30/233.57 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.30/233.57 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.30/233.57 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 233.30/233.57 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 233.30/233.57 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.30/233.57 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.30/233.57 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.30/233.57 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 233.30/233.57 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.30/233.57 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.30/233.57 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 233.30/233.57 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 233.30/233.57 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 233.30/233.57 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.30/233.57 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.35/233.61 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 233.35/233.61 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 233.35/233.61 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 233.35/233.61 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 233.35/233.61 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 233.35/233.61 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 233.35/233.61 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.35/233.61 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.35/233.61 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 233.35/233.61 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 233.35/233.61 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 233.35/233.61 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.35/233.61 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 233.35/233.61 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 233.35/233.61 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 233.35/233.61 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.35/233.61 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.35/233.61 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 233.35/233.61 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 233.35/233.61 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.35/233.61 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.35/233.61 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 233.35/233.61 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 233.35/233.61 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 233.35/233.61 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.35/233.61 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 233.35/233.61 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 233.35/233.61 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 233.35/233.61 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 233.35/233.61 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 238.22/238.47 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 238.22/238.47 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 238.22/238.47 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 238.22/238.47 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 238.22/238.47 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 238.22/238.47 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 238.22/238.47 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 238.22/238.47 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 238.22/238.47 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 238.22/238.47 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 238.22/238.47 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 238.22/238.47 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 238.22/238.47 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 238.22/238.47 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 238.22/238.47 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 238.22/238.47 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 238.22/238.47 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 238.22/238.47 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 238.22/238.47 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 238.22/238.47 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 238.22/238.47 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 238.22/238.47 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 238.22/238.47 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 238.22/238.47 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 238.22/238.47 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 238.22/238.47 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 238.22/238.47 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 238.22/238.47 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 238.22/238.47 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 238.22/238.47 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 238.22/238.47 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 258.68/258.97 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 258.68/258.97 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 258.68/258.97 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 258.68/258.97 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 258.68/258.97 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 258.68/258.97 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 258.68/258.97 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 258.68/258.97 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 258.68/258.97 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 258.68/258.97 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 258.68/258.97 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 258.68/258.97 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 258.68/258.97 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 258.68/258.97 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 258.68/258.97 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 258.68/258.97 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 258.68/258.97 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 258.68/258.97 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 258.68/258.97 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 258.68/258.97 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 258.68/258.97 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 258.68/258.97 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 258.68/258.97 Found x20:False
% 258.68/258.97 Found (fun (x3:(p V1))=> x20) as proof of False
% 258.68/258.97 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 258.68/258.97 Found x20:False
% 258.68/258.97 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 258.68/258.97 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 258.68/258.97 Found x20:False
% 258.68/258.97 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 258.68/258.97 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 258.68/258.97 Found x20:False
% 258.68/258.97 Found (fun (x3:(q V1))=> x20) as proof of False
% 258.68/258.97 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 258.68/258.97 Found x10:False
% 258.68/258.97 Found (fun (x3:(p V1))=> x10) as proof of False
% 258.68/258.97 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 258.68/258.97 Found x10:False
% 258.68/258.97 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 258.68/258.97 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 258.68/258.97 Found x10:False
% 258.68/258.97 Found (fun (x3:(q V1))=> x10) as proof of False
% 258.68/258.97 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 267.69/268.03 Found x10:False
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 267.69/268.03 Found x10:False
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 267.69/268.03 Found x10:False
% 267.69/268.03 Found (fun (x3:(q V1))=> x10) as proof of False
% 267.69/268.03 Found (fun (x3:(q V1))=> x10) as proof of ((q V1)->False)
% 267.69/268.03 Found x10:False
% 267.69/268.03 Found (fun (x3:(p V1))=> x10) as proof of False
% 267.69/268.03 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 267.69/268.03 Found x20:False
% 267.69/268.03 Found (fun (x3:(q V1))=> x20) as proof of False
% 267.69/268.03 Found (fun (x3:(q V1))=> x20) as proof of ((q V1)->False)
% 267.69/268.03 Found x20:False
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 267.69/268.03 Found x20:False
% 267.69/268.03 Found (fun (x3:(p V1))=> x20) as proof of False
% 267.69/268.03 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 267.69/268.03 Found x10:False
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of False
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 267.69/268.03 Found x20:False
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of False
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> x20) as proof of ((((rel_k W) V1)->False)->False)
% 267.69/268.03 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 267.69/268.03 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 267.69/268.03 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 267.69/268.03 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 267.69/268.03 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 267.69/268.03 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 267.69/268.03 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 267.69/268.03 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 267.69/268.03 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 267.69/268.03 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 267.69/268.03 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 267.69/268.03 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 267.69/268.03 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 267.69/268.03 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 267.69/268.03 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 267.69/268.03 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 267.69/268.03 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 267.69/268.03 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 267.69/268.03 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 267.69/268.03 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 267.69/268.03 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 273.94/274.25 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 273.94/274.25 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 273.94/274.25 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 273.94/274.25 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 273.94/274.25 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 273.94/274.25 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 273.94/274.25 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 273.94/274.25 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 273.94/274.25 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 273.94/274.25 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 273.94/274.25 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 273.94/274.25 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 273.94/274.25 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 273.94/274.25 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 273.94/274.25 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 273.94/274.25 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 273.94/274.25 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 273.94/274.25 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 273.94/274.25 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 273.94/274.25 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 273.94/274.25 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 273.94/274.25 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 273.94/274.25 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 273.94/274.25 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 273.94/274.25 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 273.94/274.25 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 273.94/274.25 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 273.94/274.25 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 273.94/274.25 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 275.00/275.34 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.00/275.34 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.00/275.34 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 275.00/275.34 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 275.00/275.34 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 275.00/275.34 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.00/275.34 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.00/275.34 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 275.00/275.34 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 275.00/275.34 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.00/275.34 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.00/275.34 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.00/275.34 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 275.00/275.34 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.00/275.34 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.00/275.34 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 275.00/275.34 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 275.00/275.34 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 275.00/275.34 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.00/275.34 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.00/275.34 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 275.00/275.34 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 275.00/275.34 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.00/275.34 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.00/275.34 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.00/275.34 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 275.00/275.34 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.00/275.34 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.00/275.34 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 275.00/275.34 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 275.00/275.34 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 275.00/275.34 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.00/275.34 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.00/275.34 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 275.06/275.35 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 275.06/275.35 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.06/275.35 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.06/275.35 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.06/275.35 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 275.06/275.35 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.06/275.35 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.06/275.35 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 275.06/275.35 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 275.06/275.35 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 275.06/275.35 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.06/275.35 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.06/275.35 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 275.06/275.35 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 275.06/275.35 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 275.06/275.35 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 275.06/275.35 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 275.06/275.35 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 275.06/275.35 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.06/275.35 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.06/275.35 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 275.06/275.35 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 275.06/275.35 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 275.06/275.35 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.06/275.35 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.06/275.35 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 275.06/275.35 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 275.06/275.35 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 275.06/275.35 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 275.06/275.35 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 275.09/275.40 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 275.09/275.40 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.09/275.40 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.09/275.40 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 275.09/275.40 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 275.09/275.40 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 275.09/275.40 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.09/275.40 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.09/275.40 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 275.09/275.40 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 275.09/275.40 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.09/275.40 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.09/275.40 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.09/275.40 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 275.09/275.40 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.09/275.40 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.09/275.40 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 275.09/275.40 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 275.09/275.40 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 275.09/275.40 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.09/275.40 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.09/275.40 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 275.09/275.40 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 275.09/275.40 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 275.09/275.40 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 275.09/275.40 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 275.09/275.40 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 275.09/275.40 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.09/275.40 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.09/275.40 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 275.09/275.40 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 275.09/275.41 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 275.09/275.41 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.09/275.41 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.09/275.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 275.09/275.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 275.09/275.41 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.09/275.41 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.09/275.41 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.09/275.41 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 275.09/275.41 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.09/275.41 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.09/275.41 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 275.09/275.41 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 275.09/275.41 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 275.09/275.41 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.09/275.41 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 275.09/275.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 275.09/275.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 275.09/275.41 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.09/275.41 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.09/275.41 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 275.09/275.41 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 275.09/275.41 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.09/275.41 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.09/275.41 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 275.09/275.41 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((p V1)->((rel_k W) V))
% 275.09/275.41 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 275.09/275.41 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.09/275.41 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 275.09/275.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 275.09/275.41 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 275.09/275.41 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 280.76/281.07 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 280.76/281.07 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 280.76/281.07 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 280.76/281.07 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 280.76/281.07 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 280.76/281.07 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 280.76/281.07 Found (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 280.76/281.07 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 280.76/281.07 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 280.76/281.07 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 280.76/281.07 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 280.76/281.07 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 280.76/281.07 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 280.76/281.07 Found (((or_ind3 ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 280.76/281.07 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x3) x4) x02)) ((rel_k W) V)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) (fun (x3:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 280.76/281.07 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 280.76/281.07 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 280.76/281.07 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 280.76/281.07 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 280.76/281.07 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((p V1)->((rel_k W) V0))
% 280.76/281.07 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 280.76/281.07 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 280.76/281.07 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 280.76/281.07 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 280.76/281.07 Found (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 280.76/281.07 Found ((or_ind30 (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 280.76/281.07 Found (((or_ind3 ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 280.76/281.07 Found ((((fun (P:Prop) (x3:((((rel_k W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_k W) V0)) (fun (x3:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_k W) V0)))) as
%------------------------------------------------------------------------------