TSTP Solution File: SYO471^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO471^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:47 EDT 2022
% Result : Timeout 293.26s 293.59s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYO471^1 : TPTP v7.5.0. Released v4.0.0.
% 0.00/0.08 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.26 % Computer : n032.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % RAMPerCPU : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % DateTime : Sun Mar 13 05:33:18 EDT 2022
% 0.08/0.26 % CPUTime :
% 0.08/0.27 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.08/0.27 Python 2.7.5
% 0.13/0.51 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.13/0.51 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.13/0.51 FOF formula (<kernel.Constant object at 0x1c96680>, <kernel.Type object at 0x1c96518>) of role type named mu_type
% 0.13/0.51 Using role type
% 0.13/0.51 Declaring mu:Type
% 0.13/0.51 FOF formula (<kernel.Constant object at 0x1c96908>, <kernel.DependentProduct object at 0x1c96680>) of role type named meq_ind_type
% 0.13/0.51 Using role type
% 0.13/0.51 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.13/0.51 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
% 0.13/0.51 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.13/0.51 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.13/0.51 FOF formula (<kernel.Constant object at 0x1c96680>, <kernel.DependentProduct object at 0x1c966c8>) of role type named meq_prop_type
% 0.13/0.51 Using role type
% 0.13/0.51 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.13/0.51 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
% 0.13/0.51 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))))
% 0.13/0.51 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.13/0.51 FOF formula (<kernel.Constant object at 0x1c967e8>, <kernel.DependentProduct object at 0x1c96908>) of role type named mnot_type
% 0.13/0.51 Using role type
% 0.13/0.51 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.13/0.51 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.13/0.51 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.13/0.51 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.13/0.51 FOF formula (<kernel.Constant object at 0x1c96908>, <kernel.DependentProduct object at 0x1c96200>) of role type named mor_type
% 0.13/0.51 Using role type
% 0.13/0.51 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.13/0.51 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
% 0.13/0.51 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))))
% 0.13/0.51 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.13/0.51 FOF formula (<kernel.Constant object at 0x1c96200>, <kernel.DependentProduct object at 0x1c96758>) of role type named mand_type
% 0.13/0.51 Using role type
% 0.13/0.51 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.13/0.51 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
% 0.13/0.51 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.13/0.51 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.13/0.51 FOF formula (<kernel.Constant object at 0x1c96758>, <kernel.DependentProduct object at 0x1c965f0>) of role type named mimplies_type
% 0.13/0.51 Using role type
% 0.13/0.51 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.13/0.51 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
% 0.13/0.51 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.13/0.51 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.13/0.52 FOF formula (<kernel.Constant object at 0x1c965f0>, <kernel.DependentProduct object at 0x1c96878>) of role type named mimplied_type
% 0.13/0.52 Using role type
% 0.13/0.52 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.13/0.52 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
% 0.13/0.52 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.13/0.52 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.13/0.52 FOF formula (<kernel.Constant object at 0x1c96878>, <kernel.DependentProduct object at 0x1c96908>) of role type named mequiv_type
% 0.13/0.52 Using role type
% 0.13/0.52 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.13/0.52 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
% 0.13/0.52 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))))
% 0.13/0.52 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.13/0.52 FOF formula (<kernel.Constant object at 0x1c96908>, <kernel.DependentProduct object at 0x1c96200>) of role type named mxor_type
% 0.13/0.52 Using role type
% 0.13/0.52 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.13/0.52 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
% 0.13/0.52 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.13/0.52 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.13/0.52 FOF formula (<kernel.Constant object at 0x1c96680>, <kernel.DependentProduct object at 0x1c96878>) of role type named mforall_ind_type
% 0.13/0.52 Using role type
% 0.13/0.52 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.13/0.52 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
% 0.13/0.52 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.13/0.52 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.13/0.52 FOF formula (<kernel.Constant object at 0x1c96878>, <kernel.DependentProduct object at 0x1c96518>) of role type named mforall_prop_type
% 0.13/0.52 Using role type
% 0.13/0.52 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.13/0.52 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
% 0.13/0.52 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))))
% 0.13/0.52 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.13/0.52 FOF formula (<kernel.Constant object at 0x1c96518>, <kernel.DependentProduct object at 0x1c96758>) of role type named mexists_ind_type
% 0.13/0.52 Using role type
% 0.13/0.52 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.13/0.52 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
% 0.13/0.52 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)))))))
% 0.13/0.53 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.13/0.53 FOF formula (<kernel.Constant object at 0x1c96758>, <kernel.DependentProduct object at 0x1c96ef0>) of role type named mexists_prop_type
% 0.13/0.53 Using role type
% 0.13/0.53 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.13/0.53 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
% 0.13/0.53 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)))))))
% 0.13/0.53 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.13/0.53 FOF formula (<kernel.Constant object at 0x1c96ef0>, <kernel.DependentProduct object at 0x1c96e60>) of role type named mtrue_type
% 0.13/0.53 Using role type
% 0.13/0.53 Declaring mtrue:(fofType->Prop)
% 0.13/0.53 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.13/0.53 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.13/0.53 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.13/0.53 FOF formula (<kernel.Constant object at 0x1c96518>, <kernel.DependentProduct object at 0x1c96680>) of role type named mfalse_type
% 0.13/0.53 Using role type
% 0.13/0.53 Declaring mfalse:(fofType->Prop)
% 0.13/0.53 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.13/0.53 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.13/0.53 Defined: mfalse:=(mnot mtrue)
% 0.13/0.53 FOF formula (<kernel.Constant object at 0x1c96248>, <kernel.DependentProduct object at 0x1c96638>) of role type named mbox_type
% 0.13/0.53 Using role type
% 0.13/0.53 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.13/0.53 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
% 0.13/0.53 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)))))
% 0.13/0.53 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.13/0.53 FOF formula (<kernel.Constant object at 0x1c96ef0>, <kernel.DependentProduct object at 0x1c96758>) of role type named mdia_type
% 0.13/0.53 Using role type
% 0.13/0.53 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.13/0.53 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
% 0.13/0.53 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)))))
% 0.13/0.53 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.13/0.53 FOF formula (<kernel.Constant object at 0x1c96518>, <kernel.DependentProduct object at 0x1c9aa28>) of role type named mreflexive_type
% 0.13/0.53 Using role type
% 0.13/0.53 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.13/0.53 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.13/0.53 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.13/0.53 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.13/0.53 FOF formula (<kernel.Constant object at 0x1c96518>, <kernel.DependentProduct object at 0x1c9a128>) of role type named msymmetric_type
% 0.13/0.53 Using role type
% 0.13/0.53 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.13/0.54 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
% 0.13/0.54 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)))))
% 0.13/0.54 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.13/0.54 FOF formula (<kernel.Constant object at 0x1c9a128>, <kernel.DependentProduct object at 0x1c9aea8>) of role type named mserial_type
% 0.13/0.54 Using role type
% 0.13/0.54 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.13/0.54 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
% 0.13/0.54 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))))))
% 0.13/0.54 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.13/0.54 FOF formula (<kernel.Constant object at 0x1c9aea8>, <kernel.DependentProduct object at 0x1c9aab8>) of role type named mtransitive_type
% 0.13/0.54 Using role type
% 0.13/0.54 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.13/0.54 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
% 0.13/0.54 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)))))
% 0.13/0.54 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.13/0.54 FOF formula (<kernel.Constant object at 0x1c9aab8>, <kernel.DependentProduct object at 0x1c9a8c0>) of role type named meuclidean_type
% 0.13/0.54 Using role type
% 0.13/0.54 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.13/0.54 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
% 0.13/0.54 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)))))
% 0.13/0.54 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.13/0.54 FOF formula (<kernel.Constant object at 0x1c9a320>, <kernel.DependentProduct object at 0x1c9a8c0>) of role type named mpartially_functional_type
% 0.13/0.54 Using role type
% 0.13/0.54 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.13/0.54 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
% 0.13/0.54 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)))))
% 0.13/0.54 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))))
% 0.13/0.54 FOF formula (<kernel.Constant object at 0x1c9a098>, <kernel.DependentProduct object at 0x2b438f899320>) of role type named mfunctional_type
% 0.13/0.54 Using role type
% 0.13/0.54 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.13/0.54 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
% 0.13/0.55 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)))))))))
% 0.13/0.55 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))))))))
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x1c9aea8>, <kernel.DependentProduct object at 0x2b438f899638>) of role type named mweakly_dense_type
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.13/0.55 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
% 0.13/0.55 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)))))))))
% 0.13/0.55 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))))))))
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x1c9aea8>, <kernel.DependentProduct object at 0x2b438f899320>) of role type named mweakly_connected_type
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.13/0.55 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
% 0.13/0.55 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))))))
% 0.13/0.55 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)))))
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x1c9aea8>, <kernel.DependentProduct object at 0x2b438f899a28>) of role type named mweakly_directed_type
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.13/0.55 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
% 0.13/0.55 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))))))))
% 0.13/0.55 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)))))))
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x2b438f899ef0>, <kernel.DependentProduct object at 0x2b438f899b48>) of role type named mvalid_type
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring mvalid:((fofType->Prop)->Prop)
% 0.13/0.55 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.13/0.55 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.13/0.55 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x2b438f899170>, <kernel.DependentProduct object at 0x2b4387dc6200>) of role type named minvalid_type
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring minvalid:((fofType->Prop)->Prop)
% 0.13/0.56 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.13/0.56 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.13/0.56 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x2b438f899170>, <kernel.DependentProduct object at 0x2b4387dc6560>) of role type named msatisfiable_type
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.13/0.56 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.13/0.56 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.13/0.56 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x2b4387dc63f8>, <kernel.DependentProduct object at 0x2b4387dc6638>) of role type named mcountersatisfiable_type
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.13/0.56 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.13/0.56 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.13/0.56 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.13/0.56 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^1.ax, trying next directory
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x1c968c0>, <kernel.DependentProduct object at 0x1c96950>) of role type named rel_k_type
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring rel_k:(fofType->(fofType->Prop))
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x1c96320>, <kernel.DependentProduct object at 0x1c967a0>) of role type named mbox_k_type
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring mbox_k:((fofType->Prop)->(fofType->Prop))
% 0.13/0.56 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
% 0.13/0.56 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)))))
% 0.13/0.56 Defined: mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V))))
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x1c967a0>, <kernel.DependentProduct object at 0x1c96cb0>) of role type named mdia_k_type
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring mdia_k:((fofType->Prop)->(fofType->Prop))
% 0.13/0.56 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))) of role definition named mdia_k
% 0.13/0.56 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))))
% 0.13/0.56 Defined: mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x2b438f89b248>, <kernel.DependentProduct object at 0x2b438f89bdd0>) of role type named p_type
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring p:(fofType->Prop)
% 0.13/0.56 FOF formula (mvalid ((mimplies (mdia_k (mdia_k p))) (mbox_k (mdia_k p)))) of role conjecture named prove
% 0.13/0.56 Conjecture to prove = (mvalid ((mimplies (mdia_k (mdia_k p))) (mbox_k (mdia_k p)))):Prop
% 0.13/0.56 Parameter mu_DUMMY:mu.
% 0.13/0.56 Parameter fofType_DUMMY:fofType.
% 0.13/0.56 We need to prove ['(mvalid ((mimplies (mdia_k (mdia_k p))) (mbox_k (mdia_k p))))']
% 0.13/0.56 Parameter mu:Type.
% 0.13/0.56 Parameter fofType:Type.
% 0.13/0.56 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.13/0.56 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.13/0.56 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.13/0.56 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.13/0.56 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.13/0.56 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.13/0.56 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.13/0.56 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.13/0.56 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.13/0.56 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.13/0.56 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.13/0.56 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.13/0.56 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)).
% 0.13/0.56 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.13/0.56 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.13/0.56 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))).
% 0.13/0.56 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.13/0.56 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.13/0.56 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.13/0.56 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.13/0.56 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).
% 0.13/0.56 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).
% 0.13/0.56 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).
% 0.13/0.56 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).
% 0.13/0.56 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).
% 0.13/0.56 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 0.13/0.56 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).
% 0.13/0.56 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 31.24/31.45 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 31.24/31.45 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 31.24/31.45 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 31.24/31.45 Parameter rel_k:(fofType->(fofType->Prop)).
% 31.24/31.45 Definition mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 31.24/31.45 Definition mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 31.24/31.45 Parameter p:(fofType->Prop).
% 31.24/31.45 Trying to prove (mvalid ((mimplies (mdia_k (mdia_k p))) (mbox_k (mdia_k p))))
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 31.24/31.45 Found x10:False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 31.24/31.45 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 51.25/51.48 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 51.25/51.48 Found x10:False
% 51.25/51.48 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 76.34/76.57 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 76.34/76.57 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 76.34/76.57 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 76.34/76.57 Found x30:False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 76.34/76.57 Found x30:False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 76.34/76.57 Found x30:False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 76.34/76.57 Found x30:False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 76.34/76.57 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 76.34/76.57 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 76.34/76.57 Found x30:False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 76.34/76.57 Found x30:False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 76.34/76.57 Found x30:False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 76.34/76.57 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 76.34/76.57 Found x30:False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 76.34/76.57 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 76.34/76.57 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 76.34/76.57 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 76.34/76.57 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 76.34/76.57 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 76.34/76.57 Found x10:False
% 76.34/76.57 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 76.34/76.57 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 86.23/86.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 86.23/86.44 Found x30:False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 86.23/86.44 Found x30:False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 86.23/86.44 Found x30:False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 86.23/86.44 Found x30:False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 86.23/86.44 Found x30:False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 86.23/86.44 Found x30:False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 86.23/86.44 Found x30:False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 86.23/86.44 Found x30:False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 86.23/86.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 86.23/86.44 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 86.23/86.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 86.23/86.44 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 86.23/86.44 Found x30:False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 86.23/86.44 Found x30:False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 86.23/86.44 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 86.23/86.44 Found x30:False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 86.23/86.44 Found x10:False
% 86.23/86.44 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 117.39/117.65 Found x30:False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 117.39/117.65 Found x30:False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 117.39/117.65 Found x30:False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 117.39/117.65 Found x30:False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 117.39/117.65 Found x30:False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 117.39/117.65 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 117.39/117.65 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 117.39/117.65 Found x30:False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 117.39/117.65 Found x30:False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 117.39/117.65 Found x30:False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 117.39/117.65 Found x30:False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of False
% 117.39/117.65 Found (fun (x3:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 117.39/117.65 Found x10:False
% 117.39/117.65 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 117.39/117.65 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 117.39/117.65 Found x30:False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 117.39/117.65 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 117.39/117.65 Found x30:False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 117.39/117.65 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 121.49/121.77 Found x10:False
% 121.49/121.77 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 121.49/121.77 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 121.49/121.77 Found x10:False
% 121.49/121.77 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 121.49/121.77 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 121.49/121.77 Found x30:False
% 121.49/121.77 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 121.49/121.77 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 121.49/121.77 Found x10:False
% 121.49/121.77 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 121.49/121.77 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 121.49/121.77 Found x10:False
% 121.49/121.77 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 121.49/121.77 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 121.49/121.77 Found x30:False
% 121.49/121.77 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 121.49/121.77 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 121.49/121.77 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 121.49/121.77 Found (False_rect0 (p V0)) as proof of (p V0)
% 121.49/121.77 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 121.49/121.77 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 121.49/121.77 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 121.49/121.77 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 121.49/121.77 Found (False_rect0 (p V0)) as proof of (p V0)
% 121.49/121.77 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 121.49/121.77 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 121.49/121.77 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 121.49/121.77 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 121.49/121.77 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 121.49/121.77 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 121.49/121.77 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 121.49/121.77 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 121.49/121.77 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 121.49/121.77 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 121.49/121.77 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 121.49/121.77 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 121.49/121.77 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 121.49/121.77 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 121.49/121.77 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 121.49/121.77 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 121.49/121.77 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 121.49/121.77 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 121.49/121.77 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 124.06/124.30 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 124.06/124.30 Found (False_rect0 (p V0)) as proof of (p V0)
% 124.06/124.30 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 124.06/124.30 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 124.06/124.30 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 124.06/124.30 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 124.06/124.30 Found (False_rect0 (p V0)) as proof of (p V0)
% 124.06/124.30 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 124.06/124.30 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 124.06/124.30 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 124.06/124.30 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 124.06/124.30 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 124.06/124.30 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 124.06/124.30 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 124.06/124.30 Found (False_rect0 (p V00)) as proof of (p V00)
% 124.06/124.30 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 124.06/124.30 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 124.06/124.30 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (((mnot p) V01)->(p V00))
% 124.06/124.30 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 124.06/124.30 Found (False_rect0 (p V00)) as proof of (p V00)
% 124.06/124.30 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 124.06/124.30 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 124.06/124.30 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of ((((rel_k V) V01)->False)->(p V00))
% 124.06/124.30 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 124.06/124.30 Found (((or_ind2 (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 124.06/124.30 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 124.06/124.30 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 124.06/124.30 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 124.06/124.30 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 124.06/124.30 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 124.06/124.30 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 124.06/124.30 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 124.06/124.30 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 124.06/124.30 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 124.06/124.30 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 138.43/138.68 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 138.43/138.68 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 138.43/138.68 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 138.43/138.68 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 138.43/138.68 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 138.43/138.68 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 138.43/138.68 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 138.43/138.68 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 138.43/138.68 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of (((mnot p) V01)->((rel_k V) V00))
% 138.43/138.68 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 138.43/138.68 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 138.43/138.68 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 138.43/138.68 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 138.43/138.68 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V00))
% 138.43/138.68 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 138.43/138.68 Found (((or_ind2 ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 138.43/138.68 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 138.43/138.68 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 138.43/138.68 Found (False_rect0 (p V0)) as proof of (p V0)
% 138.43/138.68 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 138.43/138.68 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 138.43/138.68 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 138.43/138.68 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 138.43/138.68 Found (False_rect0 (p V0)) as proof of (p V0)
% 138.43/138.68 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 138.43/138.68 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 138.43/138.68 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 138.43/138.68 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 138.43/138.68 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 139.39/139.67 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 139.39/139.67 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 139.39/139.67 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 139.39/139.67 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 139.39/139.67 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 139.39/139.67 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 139.39/139.67 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 139.39/139.67 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 139.39/139.67 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 139.39/139.67 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 139.39/139.67 Found x30:False
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 139.39/139.67 Found x30:False
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 139.39/139.67 Found x10:False
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 139.39/139.67 Found x10:False
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 139.39/139.67 Found x30:False
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 139.39/139.67 Found x10:False
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 139.39/139.67 Found x30:False
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 139.39/139.67 Found x10:False
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 139.39/139.67 Found x30:False
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 139.39/139.67 Found x30:False
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 139.39/139.67 Found x10:False
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 139.39/139.67 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 139.39/139.67 Found x10:False
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 139.39/139.67 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 139.39/139.67 Found x10:False
% 141.26/141.54 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 141.26/141.54 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 141.26/141.54 Found x30:False
% 141.26/141.54 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 141.26/141.54 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 141.26/141.54 Found x30:False
% 141.26/141.54 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 141.26/141.54 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 141.26/141.54 Found x10:False
% 141.26/141.54 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 141.26/141.54 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 141.26/141.54 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 141.26/141.54 Found (False_rect0 (p V0)) as proof of (p V0)
% 141.26/141.54 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 141.26/141.54 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 141.26/141.54 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 141.26/141.54 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 141.26/141.54 Found (False_rect0 (p V0)) as proof of (p V0)
% 141.26/141.54 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 141.26/141.54 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 141.26/141.54 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 141.26/141.54 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 141.26/141.54 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 141.26/141.54 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 141.26/141.54 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 141.26/141.54 Found (False_rect0 (p V00)) as proof of (p V00)
% 141.26/141.54 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 141.26/141.54 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 141.26/141.54 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (((mnot p) V01)->(p V00))
% 141.26/141.54 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 141.26/141.54 Found (False_rect0 (p V00)) as proof of (p V00)
% 141.26/141.54 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 141.26/141.54 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 141.26/141.54 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of ((((rel_k V) V01)->False)->(p V00))
% 141.26/141.54 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 141.26/141.54 Found (((or_ind2 (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 141.26/141.54 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 141.26/141.54 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 141.26/141.54 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 141.26/141.54 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 141.26/141.54 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 152.86/153.11 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 152.86/153.11 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 152.86/153.11 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 152.86/153.11 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 152.86/153.11 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 152.86/153.11 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 152.86/153.11 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 152.86/153.11 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 152.86/153.11 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 152.86/153.11 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 152.86/153.11 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 152.86/153.11 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 152.86/153.11 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 152.86/153.11 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of (((mnot p) V01)->((rel_k V) V00))
% 152.86/153.11 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 152.86/153.11 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 152.86/153.11 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 152.86/153.11 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 152.86/153.11 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V00))
% 152.86/153.11 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 152.86/153.11 Found (((or_ind2 ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 152.86/153.11 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 152.86/153.11 Found x30:False
% 152.86/153.11 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 152.86/153.11 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 152.86/153.11 Found x30:False
% 152.86/153.11 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 152.86/153.11 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 152.86/153.11 Found x10:False
% 152.86/153.11 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 152.86/153.11 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 152.86/153.11 Found x10:False
% 152.86/153.11 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 152.86/153.11 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 152.86/153.11 Found x10:False
% 152.86/153.11 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 152.86/153.11 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 165.85/166.17 Found x30:False
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 165.85/166.17 Found x10:False
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 165.85/166.17 Found x30:False
% 165.85/166.17 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 165.85/166.17 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 165.85/166.17 Found x30:False
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 165.85/166.17 Found x30:False
% 165.85/166.17 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 165.85/166.17 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 165.85/166.17 Found x10:False
% 165.85/166.17 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 165.85/166.17 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 165.85/166.17 Found x10:False
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 165.85/166.17 Found x10:False
% 165.85/166.17 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 165.85/166.17 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 165.85/166.17 Found x30:False
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 165.85/166.17 Found x30:False
% 165.85/166.17 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 165.85/166.17 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 165.85/166.17 Found x10:False
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 165.85/166.17 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 165.85/166.17 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 165.85/166.17 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 165.85/166.17 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 165.85/166.17 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 165.85/166.17 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 165.85/166.17 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 165.85/166.17 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 165.85/166.17 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 165.85/166.17 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 165.85/166.17 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 165.85/166.17 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 165.85/166.17 Found (False_rect0 (p V0)) as proof of (p V0)
% 165.85/166.17 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 165.85/166.17 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 165.85/166.17 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 165.85/166.17 Found (False_rect0 (p V0)) as proof of (p V0)
% 165.85/166.17 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 165.94/166.19 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 165.94/166.19 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 165.94/166.19 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 165.94/166.19 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 165.94/166.19 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 165.94/166.19 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 165.94/166.19 Found (False_rect0 (p V0)) as proof of (p V0)
% 165.94/166.19 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 165.94/166.19 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 165.94/166.19 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 165.94/166.19 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 165.94/166.19 Found (False_rect0 (p V0)) as proof of (p V0)
% 165.94/166.19 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 165.94/166.19 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 165.94/166.19 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 165.94/166.19 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 165.94/166.19 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 165.94/166.19 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 165.94/166.19 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 165.94/166.19 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 165.94/166.19 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 165.94/166.19 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 165.94/166.19 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 165.94/166.19 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 165.94/166.19 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 165.94/166.19 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 165.94/166.19 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 165.94/166.19 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 165.94/166.19 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 165.94/166.19 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 165.94/166.19 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 170.45/170.75 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 170.45/170.75 Found (False_rect0 (p V0)) as proof of (p V0)
% 170.45/170.75 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 170.45/170.75 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 170.45/170.75 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 170.45/170.75 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 170.45/170.75 Found (False_rect0 (p V0)) as proof of (p V0)
% 170.45/170.75 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 170.45/170.75 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 170.45/170.75 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 170.45/170.75 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 170.45/170.75 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 170.45/170.75 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 170.45/170.75 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 170.45/170.75 Found (False_rect0 (p V0)) as proof of (p V0)
% 170.45/170.75 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 170.45/170.75 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 170.45/170.75 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 170.45/170.75 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 170.45/170.75 Found (False_rect0 (p V0)) as proof of (p V0)
% 170.45/170.75 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 170.45/170.75 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 170.45/170.75 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 170.45/170.75 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 170.45/170.75 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 170.45/170.75 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 170.45/170.75 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 170.45/170.75 Found (False_rect0 (p V00)) as proof of (p V00)
% 170.45/170.75 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 170.45/170.75 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 170.45/170.75 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (((mnot p) V01)->(p V00))
% 170.45/170.75 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 170.45/170.75 Found (False_rect0 (p V00)) as proof of (p V00)
% 170.45/170.75 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 170.45/170.75 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 170.45/170.75 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of ((((rel_k V) V01)->False)->(p V00))
% 170.45/170.76 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 170.45/170.76 Found (((or_ind2 (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 170.45/170.76 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 170.45/170.76 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 170.45/170.76 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 170.45/170.76 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 170.45/170.76 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 170.45/170.76 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 170.45/170.76 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 170.45/170.76 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 170.45/170.76 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 170.45/170.76 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 170.45/170.76 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 170.45/170.76 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 170.45/170.76 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 170.45/170.76 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 170.45/170.76 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 170.45/170.76 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 170.45/170.76 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 170.45/170.76 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 170.45/170.76 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of (((mnot p) V01)->((rel_k V) V00))
% 170.45/170.76 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 170.45/170.76 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 170.45/170.76 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 170.45/170.76 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 170.45/170.76 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V00))
% 170.45/170.76 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 170.45/170.76 Found (((or_ind2 ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 170.45/170.76 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 170.45/170.77 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 170.45/170.77 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 170.45/170.77 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 170.45/170.77 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 170.45/170.77 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of (((mnot p) V01)->((rel_k V) V00))
% 170.45/170.77 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 170.45/170.77 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 170.45/170.77 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 170.45/170.77 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 170.45/170.77 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V00))
% 170.45/170.77 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 170.45/170.77 Found (((or_ind2 ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 170.45/170.77 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 170.45/170.77 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 170.45/170.77 Found (False_rect0 (p V00)) as proof of (p V00)
% 170.45/170.77 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 170.45/170.77 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 170.45/170.77 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (((mnot p) V01)->(p V00))
% 170.45/170.77 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 170.45/170.77 Found (False_rect0 (p V00)) as proof of (p V00)
% 170.45/170.77 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 170.45/170.77 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 170.45/170.77 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of ((((rel_k V) V01)->False)->(p V00))
% 170.45/170.77 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 170.45/170.77 Found (((or_ind2 (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 170.45/170.77 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 170.45/170.77 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 170.45/170.77 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 170.45/170.77 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 170.45/170.77 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 186.70/187.00 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 186.70/187.00 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 186.70/187.00 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 186.70/187.00 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 186.70/187.00 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 186.70/187.00 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 186.70/187.00 Found x30:False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 186.70/187.00 Found x30:False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 186.70/187.00 Found x10:False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 186.70/187.00 Found x30:False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 186.70/187.00 Found x10:False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 186.70/187.00 Found x30:False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 186.70/187.00 Found x10:False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 186.70/187.00 Found x10:False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 186.70/187.00 Found x30:False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 186.70/187.00 Found x10:False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 186.70/187.00 Found x30:False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 186.70/187.00 Found x10:False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 186.70/187.00 Found x30:False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 186.70/187.00 Found x10:False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 186.70/187.00 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 186.70/187.00 Found x30:False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 186.70/187.00 Found x10:False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 186.70/187.00 Found x30:False
% 186.70/187.00 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 192.94/193.26 Found x30:False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 192.94/193.26 Found x30:False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 192.94/193.26 Found x30:False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 192.94/193.26 Found x10:False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 192.94/193.26 Found x10:False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 192.94/193.26 Found x10:False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 192.94/193.26 Found x10:False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 192.94/193.26 Found x10:False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 192.94/193.26 Found x10:False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 192.94/193.26 Found x30:False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 192.94/193.26 Found x30:False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 192.94/193.26 Found x10:False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 192.94/193.26 Found x30:False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 192.94/193.26 Found x10:False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 192.94/193.26 Found x30:False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 192.94/193.26 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 192.94/193.26 Found (False_rect0 (p V0)) as proof of (p V0)
% 192.94/193.26 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 192.94/193.26 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 192.94/193.26 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 192.94/193.26 Found (False_rect0 (p V0)) as proof of (p V0)
% 192.94/193.26 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 192.94/193.26 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 192.94/193.26 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 192.94/193.26 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 192.94/193.26 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 192.94/193.26 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 192.94/193.27 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 192.94/193.27 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 192.94/193.27 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 192.94/193.27 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 192.94/193.27 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 192.94/193.27 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 192.94/193.27 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 192.94/193.27 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 192.94/193.27 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 192.94/193.27 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 192.94/193.27 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 192.94/193.27 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 192.94/193.27 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 192.94/193.27 Found (False_rect0 (p V0)) as proof of (p V0)
% 192.94/193.27 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 192.94/193.27 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 192.94/193.27 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 192.94/193.27 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 192.94/193.27 Found (False_rect0 (p V0)) as proof of (p V0)
% 192.94/193.27 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 192.94/193.27 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 192.94/193.27 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 192.94/193.27 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 192.94/193.27 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 192.94/193.27 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 192.94/193.27 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 192.94/193.27 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 192.94/193.27 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 192.94/193.27 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 192.94/193.27 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 192.94/193.27 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 192.94/193.27 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 192.94/193.27 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 192.94/193.27 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 198.01/198.33 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 198.01/198.33 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 198.01/198.33 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 198.01/198.33 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 198.01/198.33 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 198.01/198.33 Found (False_rect0 (p V0)) as proof of (p V0)
% 198.01/198.33 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 198.01/198.33 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 198.01/198.33 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 198.01/198.33 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 198.01/198.33 Found (False_rect0 (p V0)) as proof of (p V0)
% 198.01/198.33 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 198.01/198.33 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 198.01/198.33 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 198.01/198.33 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 198.01/198.33 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 198.01/198.33 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 198.01/198.33 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 198.01/198.33 Found (False_rect0 (p V0)) as proof of (p V0)
% 198.01/198.33 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 198.01/198.33 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 198.01/198.33 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 198.01/198.33 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 198.01/198.33 Found (False_rect0 (p V0)) as proof of (p V0)
% 198.01/198.33 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 198.01/198.33 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 198.01/198.33 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 198.01/198.33 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 198.01/198.33 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 198.01/198.33 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 198.40/198.67 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 198.40/198.67 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 198.40/198.67 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 198.40/198.67 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 198.40/198.67 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 198.40/198.67 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 198.40/198.67 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 198.40/198.67 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 198.40/198.67 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 198.40/198.67 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 198.40/198.67 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 198.40/198.67 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 198.40/198.67 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 198.40/198.67 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 198.40/198.67 Found (False_rect0 (p V00)) as proof of (p V00)
% 198.40/198.67 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 198.40/198.67 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 198.40/198.67 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (((mnot p) V01)->(p V00))
% 198.40/198.67 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 198.40/198.67 Found (False_rect0 (p V00)) as proof of (p V00)
% 198.40/198.67 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 198.40/198.67 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 198.40/198.67 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of ((((rel_k V) V01)->False)->(p V00))
% 198.40/198.67 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 198.40/198.67 Found (((or_ind2 (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 198.40/198.67 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 198.40/198.67 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 198.40/198.67 Found (False_rect0 (p V00)) as proof of (p V00)
% 198.40/198.67 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 198.40/198.67 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 198.40/198.67 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (((mnot p) V01)->(p V00))
% 198.40/198.67 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 198.40/198.67 Found (False_rect0 (p V00)) as proof of (p V00)
% 198.40/198.67 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 198.40/198.67 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 198.40/198.67 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of ((((rel_k V) V01)->False)->(p V00))
% 198.46/198.73 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 198.46/198.73 Found (((or_ind2 (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 198.46/198.73 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 198.46/198.73 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 198.46/198.73 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 198.46/198.73 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 198.46/198.73 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 198.46/198.73 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of (((mnot p) V01)->((rel_k V) V00))
% 198.46/198.73 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 198.46/198.73 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 198.46/198.73 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 198.46/198.73 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 198.46/198.73 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V00))
% 198.46/198.73 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 198.46/198.73 Found (((or_ind2 ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 198.46/198.73 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 198.46/198.73 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 198.46/198.73 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 198.46/198.73 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 198.46/198.73 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 198.46/198.73 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of (((mnot p) V01)->((rel_k V) V00))
% 198.46/198.73 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 198.46/198.73 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 198.46/198.73 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 198.46/198.73 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 198.46/198.73 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V00))
% 198.46/198.73 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 198.46/198.73 Found (((or_ind2 ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 210.90/211.25 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 210.90/211.25 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 210.90/211.25 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 210.90/211.25 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 210.90/211.25 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 210.90/211.25 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 210.90/211.25 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 210.90/211.25 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 210.90/211.25 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 210.90/211.25 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 210.90/211.25 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 210.90/211.25 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 210.90/211.25 Found x30:False
% 210.90/211.25 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 210.90/211.25 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 210.90/211.25 Found x30:False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 210.90/211.25 Found x30:False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 210.90/211.25 Found x30:False
% 210.90/211.25 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 210.90/211.25 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 210.90/211.25 Found x10:False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 210.90/211.25 Found x10:False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 210.90/211.25 Found x10:False
% 210.90/211.25 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 210.90/211.25 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 210.90/211.25 Found x10:False
% 210.90/211.25 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 210.90/211.25 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 210.90/211.25 Found x30:False
% 210.90/211.25 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 210.90/211.25 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 210.90/211.25 Found x30:False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 210.90/211.25 Found x10:False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 210.90/211.25 Found x10:False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 210.90/211.25 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 237.53/237.87 Found x30:False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 237.53/237.87 Found x10:False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 237.53/237.87 Found x30:False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 237.53/237.87 Found x10:False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 237.53/237.87 Found x30:False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 237.53/237.87 Found x30:False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 237.53/237.87 Found x10:False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 237.53/237.87 Found x10:False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 237.53/237.87 Found x30:False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 237.53/237.87 Found x30:False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 237.53/237.87 Found x10:False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 237.53/237.87 Found x10:False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 237.53/237.87 Found x10:False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 237.53/237.87 Found x30:False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 237.53/237.87 Found x30:False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 237.53/237.87 Found x10:False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 237.53/237.87 Found x30:False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 237.53/237.87 Found x30:False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 237.53/237.87 Found x10:False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 237.53/237.87 Found x10:False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 237.53/237.87 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 237.53/237.87 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 237.53/237.87 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 237.53/237.87 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 237.53/237.87 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 237.53/237.87 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 237.53/237.87 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 237.53/237.87 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 248.10/248.40 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 248.10/248.40 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 248.10/248.40 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 248.10/248.40 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 248.10/248.40 Found (False_rect0 (p V0)) as proof of (p V0)
% 248.10/248.40 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 248.10/248.40 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 248.10/248.40 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 248.10/248.40 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 248.10/248.40 Found (False_rect0 (p V0)) as proof of (p V0)
% 248.10/248.40 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 248.10/248.40 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 248.10/248.40 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 248.10/248.40 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 248.10/248.40 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 248.10/248.40 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 248.10/248.40 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 248.10/248.40 Found (False_rect0 (p V0)) as proof of (p V0)
% 248.10/248.40 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 248.10/248.40 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 248.10/248.40 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 248.10/248.40 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 248.10/248.40 Found (False_rect0 (p V0)) as proof of (p V0)
% 248.10/248.40 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 248.10/248.40 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 248.10/248.40 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 248.10/248.40 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 248.10/248.40 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 248.10/248.40 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 248.10/248.40 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 248.10/248.41 Found (False_rect0 (p V00)) as proof of (p V00)
% 248.10/248.41 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 248.10/248.41 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 248.10/248.41 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (((mnot p) V01)->(p V00))
% 248.10/248.41 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 248.10/248.41 Found (False_rect0 (p V00)) as proof of (p V00)
% 248.10/248.41 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 248.10/248.41 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 248.10/248.41 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of ((((rel_k V) V01)->False)->(p V00))
% 248.10/248.41 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 248.10/248.41 Found (((or_ind2 (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 248.10/248.41 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 248.10/248.41 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 248.10/248.41 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 248.10/248.41 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 248.10/248.41 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 248.10/248.41 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 248.10/248.41 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 248.10/248.41 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 248.10/248.41 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 248.10/248.41 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 248.10/248.41 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 248.10/248.41 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 248.10/248.41 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 248.10/248.41 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 248.10/248.41 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 248.10/248.41 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 248.10/248.41 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 248.10/248.41 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 248.10/248.41 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of (((mnot p) V01)->((rel_k V) V00))
% 248.10/248.41 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 248.10/248.41 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 248.10/248.41 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 248.10/248.41 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V00))
% 268.79/269.16 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 268.79/269.16 Found (((or_ind2 ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 268.79/269.16 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 268.79/269.16 Found x30:False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 268.79/269.16 Found x30:False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 268.79/269.16 Found x10:False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 268.79/269.16 Found x10:False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 268.79/269.16 Found x30:False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 268.79/269.16 Found x10:False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 268.79/269.16 Found x30:False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 268.79/269.16 Found x10:False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 268.79/269.16 Found x30:False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 268.79/269.16 Found x30:False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 268.79/269.16 Found x10:False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 268.79/269.16 Found x10:False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 268.79/269.16 Found x10:False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 268.79/269.16 Found x30:False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 268.79/269.16 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 268.79/269.16 Found x30:False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 268.79/269.16 Found x10:False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 268.79/269.16 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 268.79/269.16 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 268.79/269.16 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 268.79/269.16 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 280.05/280.37 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 280.05/280.37 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 280.05/280.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 280.05/280.37 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 280.05/280.37 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 280.05/280.37 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 280.05/280.37 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 280.05/280.37 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 280.05/280.37 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 280.05/280.37 Found (False_rect0 (p V0)) as proof of (p V0)
% 280.05/280.37 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 280.05/280.37 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 280.05/280.37 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 280.05/280.37 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 280.05/280.37 Found (False_rect0 (p V0)) as proof of (p V0)
% 280.05/280.37 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 280.05/280.37 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 280.05/280.37 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 280.05/280.37 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 280.05/280.37 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 280.05/280.37 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 280.05/280.37 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 280.05/280.37 Found (False_rect0 (p V0)) as proof of (p V0)
% 280.05/280.37 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 280.05/280.37 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 280.05/280.37 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 280.05/280.37 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 280.05/280.37 Found (False_rect0 (p V0)) as proof of (p V0)
% 280.05/280.37 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 280.05/280.37 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 280.05/280.37 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 280.05/280.37 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 280.05/280.37 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 280.58/280.91 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 280.58/280.91 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 280.58/280.91 Found (False_rect0 (p V00)) as proof of (p V00)
% 280.58/280.91 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 280.58/280.91 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 280.58/280.91 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (((mnot p) V01)->(p V00))
% 280.58/280.91 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 280.58/280.91 Found (False_rect0 (p V00)) as proof of (p V00)
% 280.58/280.91 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V00)) as proof of (p V00)
% 280.58/280.91 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of (p V00)
% 280.58/280.91 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00))) as proof of ((((rel_k V) V01)->False)->(p V00))
% 280.58/280.91 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 280.58/280.91 Found (((or_ind2 (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 280.58/280.91 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V00)))) as proof of (p V00)
% 280.58/280.91 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 280.58/280.91 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 280.58/280.91 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 280.58/280.91 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 280.58/280.91 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of (((mnot p) V01)->((rel_k V) V00))
% 280.58/280.91 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 280.58/280.91 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 280.58/280.91 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 280.58/280.91 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 280.58/280.91 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V00))
% 280.58/280.91 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 280.58/280.91 Found (((or_ind2 ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 280.58/280.91 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 280.58/280.91 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 280.58/280.91 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 280.58/280.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 280.58/280.91 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 280.58/280.91 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 285.27/285.62 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 285.27/285.62 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 285.27/285.62 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 285.27/285.62 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 285.27/285.62 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 285.27/285.62 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 285.27/285.62 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 285.27/285.62 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 285.27/285.62 Found x30:False
% 285.27/285.62 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 285.27/285.62 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 285.27/285.62 Found x30:False
% 285.27/285.62 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 285.27/285.62 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 285.27/285.62 Found x10:False
% 285.27/285.62 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 285.27/285.62 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 285.27/285.62 Found x10:False
% 285.27/285.62 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 285.27/285.62 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 285.27/285.62 Found x30:False
% 285.27/285.62 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 285.27/285.62 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 285.27/285.62 Found x10:False
% 285.27/285.62 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 285.27/285.62 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 285.27/285.62 Found x10:False
% 285.27/285.62 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 285.27/285.62 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 285.27/285.62 Found x30:False
% 285.27/285.62 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 285.27/285.62 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 285.27/285.62 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 285.27/285.62 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 285.27/285.62 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 285.27/285.62 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 285.27/285.62 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of (((mnot p) V01)->((rel_k V) V00))
% 285.27/285.62 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 285.27/285.62 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 285.27/285.62 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 285.27/285.62 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 285.27/285.62 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V00))
% 285.27/285.62 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 285.27/285.62 Found (((or_ind2 ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 293.26/293.59 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 293.26/293.59 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 293.26/293.59 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 293.26/293.59 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 293.26/293.59 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 293.26/293.59 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of (((mnot p) V01)->((rel_k V) V00))
% 293.26/293.59 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 293.26/293.59 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 293.26/293.59 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 293.26/293.59 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 293.26/293.59 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V00))
% 293.26/293.59 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 293.26/293.59 Found (((or_ind2 ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 293.26/293.59 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 293.26/293.59 Found x30:False
% 293.26/293.59 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 293.26/293.59 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 293.26/293.59 Found x30:False
% 293.26/293.59 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 293.26/293.59 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 293.26/293.59 Found x10:False
% 293.26/293.59 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 293.26/293.59 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 293.26/293.59 Found x10:False
% 293.26/293.59 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 293.26/293.59 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 293.26/293.59 Found x10:False
% 293.26/293.59 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of False
% 293.26/293.59 Found (fun (x5:(((rel_k V) V01)->False))=> x10) as proof of ((((rel_k V) V01)->False)->False)
% 293.26/293.59 Found x30:False
% 293.26/293.59 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of False
% 293.26/293.59 Found (fun (x5:(((rel_k V) V01)->False))=> x30) as proof of ((((rel_k V) V01)->False)->False)
% 293.26/293.59 Found x30:False
% 293.26/293.59 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 293.26/293.59 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 293.26/293.59 Found x10:False
% 293.26/293.59 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 293.26/293.59 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 293.26/293.59 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 293.26/293.59 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 293.26/293.59 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 293.26/293.59 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 293.26/293.59 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 293.26/293.59 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 294.95/295.34 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 294.95/295.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 294.95/295.34 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 294.95/295.34 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 294.95/295.34 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 294.95/295.34 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 294.95/295.34 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 294.95/295.34 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 294.95/295.34 Found (False_rect0 (p V0)) as proof of (p V0)
% 294.95/295.34 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 294.95/295.34 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 294.95/295.34 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 294.95/295.34 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 294.95/295.34 Found (False_rect0 (p V0)) as proof of (p V0)
% 294.95/295.34 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 294.95/295.34 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 294.95/295.34 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 294.95/295.34 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 294.95/295.34 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 294.95/295.34 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 294.95/295.34 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 294.95/295.34 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 294.95/295.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 294.95/295.34 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 294.95/295.34 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 294.95/295.34 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 294.95/295.34 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 294.95/295.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 294.95/295.34 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 294.95/295.34 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 294.95/295.34 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 294.95/295.34 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 295.78/296.11 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 295.78/296.11 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 295.78/296.11 Found (False_rect0 (p V0)) as proof of (p V0)
% 295.78/296.11 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 295.78/296.11 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 295.78/296.11 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 295.78/296.11 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 295.78/296.11 Found (False_rect0 (p V0)) as proof of (p V0)
% 295.78/296.11 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 295.78/296.11 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 295.78/296.11 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_k V) V01)->False)->(p V0))
% 295.78/296.11 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 295.78/296.11 Found (((or_ind2 (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 295.78/296.11 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 295.78/296.11 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 295.78/296.11 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 295.78/296.11 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 295.78/296.11 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 295.78/296.11 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of (((mnot p) V01)->((rel_k V) V00))
% 295.78/296.11 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 295.78/296.11 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 295.78/296.11 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 295.78/296.11 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 295.78/296.11 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V00))
% 295.78/296.11 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 295.78/296.11 Found (((or_ind2 ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 295.78/296.11 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V00)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)))) as proof of ((rel_k V) V00)
% 295.78/296.11 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 295.78/296.11 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 295.78/296.11 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 295.84/296.20 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 295.84/296.20 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 295.84/296.20 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 295.84/296.20 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 295.84/296.20 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 295.84/296.20 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 295.84/296.20 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 295.84/296.20 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 295.84/296.20 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 295.84/296.20 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 295.84/296.20 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 295.84/296.20 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 295.84/296.20 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 295.84/296.20 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 295.84/296.20 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0))) as proof of (((mnot p) V01)->((rel_k V) V0))
% 295.84/296.20 Found False_rect00:=(False_rect0 ((rel_k V) V0)):((rel_k V) V0)
% 295.84/296.20 Found (False_rect0 ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 295.84/296.20 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)) as proof of ((rel_k V) V0)
% 295.84/296.20 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0))) as proof of ((rel_k V) V0)
% 295.84/296.20 Found (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0))) as proof of ((((rel_k V) V01)->False)->((rel_k V) V0))
% 295.84/296.20 Found ((or_ind20 (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 295.84/296.20 Found (((or_ind2 ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 295.84/296.20 Found ((((fun (P:Prop) (x5:((((rel_k V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_k V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_k V) V0)) (fun (x5:(((rel_k V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k V) V0)))) as proof of ((rel_k V) V0)
% 295.84/296.20 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 295.84/296.20 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 295.84/296.20 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 295.84/296.20 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of ((rel_k V) V00)
% 295.84/296.20 Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00))) as proof of (((mnot p) V01)->((rel_k V) V00))
% 295.84/296.20 Found False_rect00:=(False_rect0 ((rel_k V) V00)):((rel_k V) V00)
% 295.84/296.20 Found (False_rect0 ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 295.84/296.20 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k V) V00)) as proof of ((rel_k V) V00)
% 295.84/296.20 Found
%------------------------------------------------------------------------------