TSTP Solution File: SYO413^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO413^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 00:51:22 EDT 2022
% Result : Timeout 288.59s 288.91s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO413^1 : TPTP v7.5.0. Released v4.0.0.
% 0.00/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % RAMPerCPU : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Sat Mar 12 13:33:34 EST 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.33 Python 2.7.5
% 0.44/0.60 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.44/0.60 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.44/0.60 FOF formula (<kernel.Constant object at 0x2ae984efd518>, <kernel.Type object at 0x2ae984efd320>) of role type named mu_type
% 0.44/0.60 Using role type
% 0.44/0.60 Declaring mu:Type
% 0.44/0.60 FOF formula (<kernel.Constant object at 0x2ae984efd2d8>, <kernel.DependentProduct object at 0xe152d8>) of role type named meq_ind_type
% 0.44/0.60 Using role type
% 0.44/0.60 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.44/0.60 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
% 0.44/0.60 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.44/0.60 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.44/0.60 FOF formula (<kernel.Constant object at 0xe12d40>, <kernel.DependentProduct object at 0xe152d8>) of role type named meq_prop_type
% 0.44/0.60 Using role type
% 0.44/0.60 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.60 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
% 0.44/0.60 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))))
% 0.44/0.60 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.44/0.60 FOF formula (<kernel.Constant object at 0x2ae984efd518>, <kernel.DependentProduct object at 0xe157a0>) of role type named mnot_type
% 0.44/0.60 Using role type
% 0.44/0.60 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.44/0.60 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.44/0.60 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.44/0.60 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.44/0.60 FOF formula (<kernel.Constant object at 0xe157a0>, <kernel.DependentProduct object at 0xe15ea8>) of role type named mor_type
% 0.44/0.60 Using role type
% 0.44/0.60 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.60 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
% 0.44/0.60 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))))
% 0.44/0.60 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.44/0.60 FOF formula (<kernel.Constant object at 0xe15ea8>, <kernel.DependentProduct object at 0xe15560>) of role type named mand_type
% 0.44/0.60 Using role type
% 0.44/0.60 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.60 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
% 0.44/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.44/0.60 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.44/0.60 FOF formula (<kernel.Constant object at 0xe15560>, <kernel.DependentProduct object at 0xe153f8>) of role type named mimplies_type
% 0.44/0.60 Using role type
% 0.44/0.60 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.60 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
% 0.44/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.44/0.60 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0xe153f8>, <kernel.DependentProduct object at 0xe15488>) of role type named mimplied_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 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
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.44/0.61 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0xe15488>, <kernel.DependentProduct object at 0xe157a0>) of role type named mequiv_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 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
% 0.44/0.61 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))))
% 0.44/0.61 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0xe157a0>, <kernel.DependentProduct object at 0xe15ea8>) of role type named mxor_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 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
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.44/0.61 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0xe15248>, <kernel.DependentProduct object at 0xe15488>) of role type named mforall_ind_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.44/0.61 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
% 0.44/0.61 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.44/0.61 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0xe15488>, <kernel.DependentProduct object at 0xe15320>) of role type named mforall_prop_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.44/0.61 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.44/0.61 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.44/0.61 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0xe15320>, <kernel.DependentProduct object at 0xe15128>) of role type named mexists_ind_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.44/0.61 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
% 0.44/0.61 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)))))))
% 0.44/0.62 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0xe15128>, <kernel.DependentProduct object at 0xe151b8>) of role type named mexists_prop_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.44/0.62 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
% 0.44/0.62 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)))))))
% 0.44/0.62 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0xe159e0>, <kernel.DependentProduct object at 0xe15ab8>) of role type named mtrue_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mtrue:(fofType->Prop)
% 0.44/0.62 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.44/0.62 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.44/0.62 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.44/0.62 FOF formula (<kernel.Constant object at 0xe15dd0>, <kernel.DependentProduct object at 0xe15248>) of role type named mfalse_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mfalse:(fofType->Prop)
% 0.44/0.62 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.44/0.62 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.44/0.62 Defined: mfalse:=(mnot mtrue)
% 0.44/0.62 FOF formula (<kernel.Constant object at 0xe15e18>, <kernel.DependentProduct object at 0xe15dd0>) of role type named mbox_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 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
% 0.44/0.62 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)))))
% 0.44/0.62 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0xe159e0>, <kernel.DependentProduct object at 0xdf5a28>) of role type named mdia_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 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
% 0.44/0.62 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)))))
% 0.44/0.62 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0xe15248>, <kernel.DependentProduct object at 0xdf5c68>) of role type named mreflexive_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.44/0.62 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.44/0.62 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.44/0.62 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0xe15e18>, <kernel.DependentProduct object at 0xdf5638>) of role type named msymmetric_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.48/0.63 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
% 0.48/0.63 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)))))
% 0.48/0.63 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xdf5b48>, <kernel.DependentProduct object at 0xdf5638>) of role type named mserial_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.48/0.63 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
% 0.48/0.63 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))))))
% 0.48/0.63 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xdf5a28>, <kernel.DependentProduct object at 0xe17200>) of role type named mtransitive_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.48/0.63 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
% 0.48/0.63 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)))))
% 0.48/0.63 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xdf5a70>, <kernel.DependentProduct object at 0xe17b00>) of role type named meuclidean_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.48/0.63 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
% 0.48/0.63 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)))))
% 0.48/0.63 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xdf5a70>, <kernel.DependentProduct object at 0xe17dd0>) of role type named mpartially_functional_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.63 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
% 0.48/0.63 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)))))
% 0.48/0.63 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))))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xdf5b48>, <kernel.DependentProduct object at 0xe173b0>) of role type named mfunctional_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.49/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.49/0.64 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0xe173b0>, <kernel.DependentProduct object at 0xe17b90>) of role type named mweakly_dense_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.49/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.49/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.49/0.64 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0xe17b90>, <kernel.DependentProduct object at 0xe179e0>) of role type named mweakly_connected_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.49/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.49/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.49/0.64 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0xe17b00>, <kernel.DependentProduct object at 0xe179e0>) of role type named mweakly_directed_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.49/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.49/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.49/0.64 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0xe17ab8>, <kernel.DependentProduct object at 0xf887e8>) of role type named mvalid_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mvalid:((fofType->Prop)->Prop)
% 0.49/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.49/0.64 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.49/0.64 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0xe17ab8>, <kernel.DependentProduct object at 0xf88638>) of role type named minvalid_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring minvalid:((fofType->Prop)->Prop)
% 0.49/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.49/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.49/0.65 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0xf88290>, <kernel.DependentProduct object at 0xf88488>) of role type named msatisfiable_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.49/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.49/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.49/0.65 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0xf88638>, <kernel.DependentProduct object at 0xf88680>) of role type named mcountersatisfiable_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.49/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.49/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.49/0.65 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.49/0.65 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^1.ax, trying next directory
% 0.49/0.65 FOF formula (<kernel.Constant object at 0xe12d40>, <kernel.DependentProduct object at 0x2ae984efd2d8>) of role type named rel_k_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring rel_k:(fofType->(fofType->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2ae984efd320>, <kernel.DependentProduct object at 0xe15e60>) of role type named mbox_k_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mbox_k:((fofType->Prop)->(fofType->Prop))
% 0.49/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_k) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V))))) of role definition named mbox_k
% 0.49/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_k) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V)))))
% 0.49/0.65 Defined: mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2ae984efd998>, <kernel.DependentProduct object at 0xe153b0>) of role type named mdia_k_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mdia_k:((fofType->Prop)->(fofType->Prop))
% 0.49/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))) of role definition named mdia_k
% 0.49/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))))
% 0.49/0.65 Defined: mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0xe1b248>, <kernel.DependentProduct object at 0x2ae984edfe18>) of role type named p_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring p:(fofType->Prop)
% 0.49/0.65 FOF formula (<kernel.Constant object at 0xe1b200>, <kernel.DependentProduct object at 0x2ae984edfd40>) of role type named q_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring q:(fofType->Prop)
% 0.49/0.65 FOF formula (mvalid ((mimplies (mdia_k p)) ((mimplies (mbox_k q)) (mdia_k q)))) of role conjecture named prove
% 0.49/0.65 Conjecture to prove = (mvalid ((mimplies (mdia_k p)) ((mimplies (mbox_k q)) (mdia_k q)))):Prop
% 0.49/0.65 Parameter mu_DUMMY:mu.
% 0.49/0.65 Parameter fofType_DUMMY:fofType.
% 0.49/0.65 We need to prove ['(mvalid ((mimplies (mdia_k p)) ((mimplies (mbox_k q)) (mdia_k q))))']
% 0.49/0.65 Parameter mu:Type.
% 0.49/0.65 Parameter fofType:Type.
% 0.49/0.65 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.49/0.65 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.49/0.65 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.65 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.65 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.65 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.65 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.49/0.65 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.49/0.65 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.65 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.65 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.65 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.65 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.65 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.65 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.65 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.65 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).
% 0.49/0.65 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).
% 21.13/21.32 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 21.13/21.32 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 21.13/21.32 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 21.13/21.32 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 21.13/21.32 Parameter rel_k:(fofType->(fofType->Prop)).
% 21.13/21.32 Definition mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 21.13/21.32 Definition mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 21.13/21.32 Parameter p:(fofType->Prop).
% 21.13/21.32 Parameter q:(fofType->Prop).
% 21.13/21.32 Trying to prove (mvalid ((mimplies (mdia_k p)) ((mimplies (mbox_k q)) (mdia_k q))))
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(q V0))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(q V0))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(q V0))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(q V0))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(q V0))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 21.13/21.32 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 21.13/21.32 Found x10:False
% 21.13/21.32 Found (fun (x3:(q V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 35.09/35.35 Found x10:False
% 35.09/35.35 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(q V0))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(q V0))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(q V0))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(q V0))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(q V0))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 44.82/45.04 Found x10:False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 44.82/45.04 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(q V0))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(q V0))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(q V0))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(q V0))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(q V0))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(q V0))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 62.64/62.87 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 62.64/62.87 Found x30:False
% 62.64/62.87 Found (fun (x5:(q V1))=> x30) as proof of False
% 62.64/62.87 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 62.64/62.87 Found x30:False
% 62.64/62.87 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 62.64/62.87 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 62.64/62.87 Found x30:False
% 62.64/62.87 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 62.64/62.87 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 62.64/62.87 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 62.64/62.87 Found x10:False
% 62.64/62.87 Found (fun (x5:(q V1))=> x10) as proof of False
% 62.64/62.87 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 83.65/83.90 Found x30:False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 83.65/83.90 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 83.65/83.90 Found x30:False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 83.65/83.90 Found x30:False
% 83.65/83.90 Found (fun (x5:(q V1))=> x30) as proof of False
% 83.65/83.90 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 83.65/83.90 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 83.65/83.90 Found x30:False
% 83.65/83.90 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 83.65/83.90 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x5:(q V1))=> x10) as proof of False
% 83.65/83.90 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 83.65/83.90 Found x30:False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x3:(q V0))=> x10) as proof of False
% 83.65/83.90 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 83.65/83.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 83.65/83.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 83.65/83.90 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x3:(q V0))=> x10) as proof of False
% 83.65/83.90 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 83.65/83.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x3:(q V0))=> x10) as proof of False
% 83.65/83.90 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 83.65/83.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 83.65/83.90 Found x30:False
% 83.65/83.90 Found (fun (x5:(q V1))=> x30) as proof of False
% 83.65/83.90 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 83.65/83.90 Found x30:False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 83.65/83.90 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 83.65/83.90 Found x30:False
% 83.65/83.90 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 83.65/83.90 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 83.65/83.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 83.65/83.90 Found x30:False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x5:(q V1))=> x10) as proof of False
% 83.65/83.90 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 83.65/83.90 Found x10:False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 83.65/83.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 84.17/84.39 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 84.17/84.39 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 84.17/84.39 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 84.17/84.39 Found x30:False
% 84.17/84.39 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 84.17/84.39 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 84.17/84.39 Found x30:False
% 84.17/84.39 Found (fun (x5:(q V1))=> x30) as proof of False
% 84.17/84.39 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 84.17/84.39 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.17/84.39 Found x30:False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x5:(q V1))=> x10) as proof of False
% 84.17/84.39 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 84.17/84.39 Found x30:False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.17/84.39 Found x30:False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 84.17/84.39 Found x30:False
% 84.17/84.39 Found (fun (x5:(q V1))=> x30) as proof of False
% 84.17/84.39 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 84.17/84.39 Found x30:False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 84.17/84.39 Found x30:False
% 84.17/84.39 Found (fun (x5:(q V1))=> x30) as proof of False
% 84.17/84.39 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x5:(q V1))=> x10) as proof of False
% 84.17/84.39 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 84.17/84.39 Found x30:False
% 84.17/84.39 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 84.17/84.39 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 84.17/84.39 Found x30:False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x5:(q V1))=> x10) as proof of False
% 84.17/84.39 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 84.17/84.39 Found x30:False
% 84.17/84.39 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 84.17/84.39 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 84.17/84.39 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 84.17/84.39 Found x30:False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 84.17/84.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 84.17/84.39 Found x10:False
% 84.17/84.39 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 114.79/115.05 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 114.79/115.05 Found x30:False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 114.79/115.05 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 114.79/115.05 Found x30:False
% 114.79/115.05 Found (fun (x5:(q V1))=> x30) as proof of False
% 114.79/115.05 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 114.79/115.05 Found x30:False
% 114.79/115.05 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 114.79/115.05 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x5:(q V1))=> x10) as proof of False
% 114.79/115.05 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 114.79/115.05 Found x30:False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 114.79/115.05 Found x30:False
% 114.79/115.05 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 114.79/115.05 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x5:(q V1))=> x10) as proof of False
% 114.79/115.05 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 114.79/115.05 Found x30:False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 114.79/115.05 Found x30:False
% 114.79/115.05 Found (fun (x5:(q V1))=> x30) as proof of False
% 114.79/115.05 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 114.79/115.05 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 114.79/115.05 Found x30:False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 114.79/115.05 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 114.79/115.05 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x3:(q V0))=> x10) as proof of False
% 114.79/115.05 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 114.79/115.05 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 114.79/115.05 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x3:(q V0))=> x10) as proof of False
% 114.79/115.05 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 114.79/115.05 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 114.79/115.05 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 114.79/115.05 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 114.79/115.05 Found x10:False
% 114.79/115.05 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 114.79/115.05 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 114.79/115.05 Found x10:False
% 117.65/117.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 117.65/117.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x3:(q V0))=> x10) as proof of False
% 117.65/117.90 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 117.65/117.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 117.65/117.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 117.65/117.90 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 117.65/117.90 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x3:(q V0))=> x10) as proof of False
% 117.65/117.90 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 117.65/117.90 Found x30:False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 117.65/117.90 Found x30:False
% 117.65/117.90 Found (fun (x5:(q V1))=> x30) as proof of False
% 117.65/117.90 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 117.65/117.90 Found x30:False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 117.65/117.90 Found x30:False
% 117.65/117.90 Found (fun (x5:(q V1))=> x30) as proof of False
% 117.65/117.90 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x5:(q V1))=> x10) as proof of False
% 117.65/117.90 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 117.65/117.90 Found x30:False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 117.65/117.90 Found x30:False
% 117.65/117.90 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 117.65/117.90 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 117.65/117.90 Found x30:False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 117.65/117.90 Found x30:False
% 117.65/117.90 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 117.65/117.90 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 117.65/117.90 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x5:(q V1))=> x10) as proof of False
% 117.65/117.90 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 117.65/117.90 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 117.65/117.90 Found x30:False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 117.65/117.90 Found x30:False
% 117.65/117.90 Found (fun (x5:(q V1))=> x30) as proof of False
% 117.65/117.90 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 117.65/117.90 Found x30:False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 117.65/117.90 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 117.65/117.90 Found x10:False
% 117.65/117.90 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 117.65/117.90 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 120.23/120.48 Found x30:False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:(q V1))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 120.23/120.48 Found x30:False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:(q V1))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 120.23/120.48 Found x30:False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 120.23/120.48 Found x30:False
% 120.23/120.48 Found (fun (x5:(q V1))=> x30) as proof of False
% 120.23/120.48 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 120.23/120.48 Found x30:False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 120.23/120.48 Found x30:False
% 120.23/120.48 Found (fun (x5:(q V1))=> x30) as proof of False
% 120.23/120.48 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 120.23/120.48 Found x30:False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 120.23/120.48 Found x30:False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 120.23/120.48 Found x30:False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:(q V1))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:(q V1))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 120.23/120.48 Found x30:False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 120.23/120.48 Found x30:False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 120.23/120.48 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 120.23/120.48 Found x30:False
% 120.23/120.48 Found (fun (x5:(q V1))=> x30) as proof of False
% 120.23/120.48 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 120.23/120.48 Found x10:False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 120.23/120.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 142.46/142.72 Found x30:False
% 142.46/142.72 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 142.46/142.72 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 142.46/142.72 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 142.46/142.72 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 142.46/142.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 142.46/142.72 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 142.46/142.72 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot q) V1)->((rel_k W) V))
% 142.46/142.72 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 142.46/142.72 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 142.46/142.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 142.46/142.72 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 142.46/142.72 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 142.46/142.72 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 142.46/142.72 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 142.46/142.72 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 142.46/142.72 Found False_rect00:=(False_rect0 (q V)):(q V)
% 142.46/142.72 Found (False_rect0 (q V)) as proof of (q V)
% 142.46/142.72 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 142.46/142.72 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 142.46/142.72 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 142.46/142.72 Found False_rect00:=(False_rect0 (q V)):(q V)
% 142.46/142.72 Found (False_rect0 (q V)) as proof of (q V)
% 142.46/142.72 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 142.46/142.72 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 142.46/142.72 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_k W) V1)->False)->(q V))
% 142.46/142.72 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 142.46/142.72 Found (((or_ind2 (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 142.46/142.72 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 142.46/142.72 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 142.46/142.72 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 142.46/142.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 142.46/142.72 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 142.46/142.72 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 142.46/142.72 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 142.46/142.72 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 142.46/142.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 142.46/142.72 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 149.72/149.94 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 149.72/149.94 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 149.72/149.94 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 149.72/149.94 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 149.72/149.94 Found False_rect00:=(False_rect0 (q V)):(q V)
% 149.72/149.94 Found (False_rect0 (q V)) as proof of (q V)
% 149.72/149.94 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 149.72/149.94 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 149.72/149.94 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 149.72/149.94 Found False_rect00:=(False_rect0 (q V)):(q V)
% 149.72/149.94 Found (False_rect0 (q V)) as proof of (q V)
% 149.72/149.94 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 149.72/149.94 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 149.72/149.94 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_k W) V1)->False)->(q V))
% 149.72/149.94 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 149.72/149.94 Found (((or_ind2 (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 149.72/149.94 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 149.72/149.94 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 149.72/149.94 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 149.72/149.94 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 149.72/149.94 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 149.72/149.94 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot q) V1)->((rel_k W) V))
% 149.72/149.94 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 149.72/149.94 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 149.72/149.94 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 149.72/149.94 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 149.72/149.94 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 149.72/149.94 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 149.72/149.94 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 149.72/149.94 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 149.72/149.95 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 149.72/149.95 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 149.72/149.95 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 149.72/149.95 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 149.72/149.95 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 149.72/149.95 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 149.72/149.95 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 149.72/149.95 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 149.72/149.95 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 149.72/149.95 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 149.72/149.95 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 149.72/149.95 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 149.72/149.95 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 149.72/149.95 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 149.72/149.95 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 149.72/149.95 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 149.72/149.95 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 149.72/149.95 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 149.72/149.95 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 149.72/149.95 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 149.72/149.95 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 149.72/149.95 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 149.72/149.95 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 149.72/149.95 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 149.72/149.95 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 149.72/149.95 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 149.72/149.95 Found False_rect00:=(False_rect0 (q V0)):(q V0)
% 149.72/149.95 Found (False_rect0 (q V0)) as proof of (q V0)
% 149.72/149.95 Found ((fun (P:Type)=> ((False_rect P) x10)) (q V0)) as proof of (q V0)
% 149.72/149.95 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (q V0)
% 149.72/149.95 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (((mnot q) V1)->(q V0))
% 149.72/149.95 Found False_rect00:=(False_rect0 (q V0)):(q V0)
% 149.72/149.95 Found (False_rect0 (q V0)) as proof of (q V0)
% 149.72/149.95 Found ((fun (P:Type)=> ((False_rect P) x10)) (q V0)) as proof of (q V0)
% 168.67/168.93 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (q V0)
% 168.67/168.93 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of ((((rel_k W) V1)->False)->(q V0))
% 168.67/168.93 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 168.67/168.93 Found (((or_ind2 (q V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 168.67/168.93 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 168.67/168.93 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 168.67/168.93 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 168.67/168.93 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 168.67/168.93 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 168.67/168.93 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of (((mnot q) V1)->((rel_k W) V0))
% 168.67/168.93 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 168.67/168.93 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 168.67/168.93 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 168.67/168.93 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 168.67/168.93 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 168.67/168.93 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 168.67/168.93 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 168.67/168.93 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 168.67/168.93 Found x10:False
% 168.67/168.93 Found (fun (x3:(q V0))=> x10) as proof of False
% 168.67/168.93 Found (fun (x3:(q V0))=> x10) as proof of ((q V0)->False)
% 168.67/168.93 Found x10:False
% 168.67/168.93 Found (fun (x3:((mnot q) V0))=> x10) as proof of False
% 168.67/168.93 Found (fun (x3:((mnot q) V0))=> x10) as proof of (((mnot q) V0)->False)
% 168.67/168.93 Found x10:False
% 168.67/168.93 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 168.67/168.93 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 168.67/168.93 Found x10:False
% 168.67/168.93 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 168.67/168.93 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 168.67/168.93 Found x30:False
% 168.67/168.93 Found (fun (x5:(q V1))=> x30) as proof of False
% 168.67/168.93 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 168.67/168.93 Found x30:False
% 168.67/168.93 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 168.67/168.93 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 168.67/168.93 Found x30:False
% 168.67/168.93 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 168.67/168.93 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 168.67/168.93 Found x10:False
% 168.67/168.93 Found (fun (x5:(q V1))=> x10) as proof of False
% 168.67/168.93 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 168.67/168.93 Found x10:False
% 168.67/168.93 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 168.67/168.93 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x30:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x30:False
% 168.80/169.07 Found (fun (x5:(q V1))=> x30) as proof of False
% 168.80/169.07 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 168.80/169.07 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 168.80/169.07 Found x30:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x30:False
% 168.80/169.07 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 168.80/169.07 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 168.80/169.07 Found x30:False
% 168.80/169.07 Found (fun (x5:(q V1))=> x30) as proof of False
% 168.80/169.07 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 168.80/169.07 Found x30:False
% 168.80/169.07 Found (fun (x5:(q V1))=> x30) as proof of False
% 168.80/169.07 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:(q V1))=> x10) as proof of False
% 168.80/169.07 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x30:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:(q V1))=> x10) as proof of False
% 168.80/169.07 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 168.80/169.07 Found x30:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x30:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 168.80/169.07 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 168.80/169.07 Found x30:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:(q V1))=> x10) as proof of False
% 168.80/169.07 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 168.80/169.07 Found x30:False
% 168.80/169.07 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 168.80/169.07 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 168.80/169.07 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 168.80/169.07 Found x30:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x30:False
% 168.80/169.07 Found (fun (x5:(q V1))=> x30) as proof of False
% 168.80/169.07 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:(q V1))=> x10) as proof of False
% 168.80/169.07 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 168.80/169.07 Found x10:False
% 168.80/169.07 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 191.31/191.59 Found x30:False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 191.31/191.59 Found x10:False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 191.31/191.59 Found x10:False
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 191.31/191.59 Found x30:False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 191.31/191.59 Found x10:False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 191.31/191.59 Found x30:False
% 191.31/191.59 Found (fun (x5:(q V1))=> x30) as proof of False
% 191.31/191.59 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 191.31/191.59 Found x30:False
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 191.31/191.59 Found x10:False
% 191.31/191.59 Found (fun (x5:(q V1))=> x10) as proof of False
% 191.31/191.59 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 191.31/191.59 Found x30:False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 191.31/191.59 Found x30:False
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 191.31/191.59 Found x10:False
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 191.31/191.59 Found x10:False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 191.31/191.59 Found x30:False
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 191.31/191.59 Found x30:False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 191.31/191.59 Found x10:False
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 191.31/191.59 Found x10:False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 191.31/191.59 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 191.31/191.59 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 191.31/191.59 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 191.31/191.59 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot q) V1)->((rel_k W) V))
% 191.31/191.59 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 191.31/191.59 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 191.31/191.59 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 191.31/191.59 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 191.31/191.59 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 191.31/191.59 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 191.31/191.59 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 201.39/201.67 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 201.39/201.67 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 201.39/201.67 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 201.39/201.67 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 201.39/201.67 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 201.39/201.67 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 201.39/201.67 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 201.39/201.67 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 201.39/201.67 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 201.39/201.67 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 201.39/201.67 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 201.39/201.67 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 201.39/201.67 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 201.39/201.67 Found False_rect00:=(False_rect0 (q V)):(q V)
% 201.39/201.67 Found (False_rect0 (q V)) as proof of (q V)
% 201.39/201.67 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 201.39/201.67 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 201.39/201.67 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 201.39/201.67 Found False_rect00:=(False_rect0 (q V)):(q V)
% 201.39/201.67 Found (False_rect0 (q V)) as proof of (q V)
% 201.39/201.67 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 201.39/201.67 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 201.39/201.67 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_k W) V1)->False)->(q V))
% 201.39/201.67 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 201.39/201.67 Found (((or_ind2 (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 201.39/201.67 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 201.39/201.67 Found False_rect00:=(False_rect0 (q V)):(q V)
% 201.39/201.67 Found (False_rect0 (q V)) as proof of (q V)
% 201.39/201.67 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 201.39/201.67 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 201.39/201.67 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 201.39/201.67 Found False_rect00:=(False_rect0 (q V)):(q V)
% 201.39/201.67 Found (False_rect0 (q V)) as proof of (q V)
% 201.39/201.67 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 201.39/201.67 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 201.39/201.67 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_k W) V1)->False)->(q V))
% 201.66/202.01 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 201.66/202.01 Found (((or_ind2 (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 201.66/202.01 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 201.66/202.01 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 201.66/202.01 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 201.66/202.01 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 201.66/202.01 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 201.66/202.01 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot q) V1)->((rel_k W) V))
% 201.66/202.01 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 201.66/202.01 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 201.66/202.01 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 201.66/202.01 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 201.66/202.01 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 201.66/202.01 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 201.66/202.01 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 201.66/202.01 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 201.66/202.01 Found False_rect00:=(False_rect0 (q V0)):(q V0)
% 201.66/202.01 Found (False_rect0 (q V0)) as proof of (q V0)
% 201.66/202.01 Found ((fun (P:Type)=> ((False_rect P) x10)) (q V0)) as proof of (q V0)
% 201.66/202.01 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (q V0)
% 201.66/202.01 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (((mnot q) V1)->(q V0))
% 201.66/202.01 Found False_rect00:=(False_rect0 (q V0)):(q V0)
% 201.66/202.01 Found (False_rect0 (q V0)) as proof of (q V0)
% 201.66/202.01 Found ((fun (P:Type)=> ((False_rect P) x10)) (q V0)) as proof of (q V0)
% 201.66/202.01 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (q V0)
% 201.66/202.01 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of ((((rel_k W) V1)->False)->(q V0))
% 201.66/202.01 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 201.66/202.01 Found (((or_ind2 (q V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 201.66/202.01 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 201.95/202.24 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 201.95/202.24 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 201.95/202.24 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 201.95/202.24 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 201.95/202.24 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 201.95/202.24 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 201.95/202.24 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 201.95/202.24 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 201.95/202.24 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 201.95/202.24 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 201.95/202.24 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 201.95/202.24 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 201.95/202.24 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 201.95/202.24 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 201.95/202.24 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 201.95/202.24 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 201.95/202.24 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 201.95/202.24 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 201.95/202.24 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 201.95/202.24 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 201.95/202.24 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 201.95/202.24 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 201.95/202.24 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 201.95/202.24 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 201.95/202.24 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 201.95/202.24 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 201.95/202.24 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 201.95/202.24 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 201.95/202.24 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 201.95/202.24 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 201.95/202.24 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of (((mnot q) V1)->((rel_k W) V0))
% 201.95/202.24 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 201.95/202.24 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 201.95/202.24 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 203.20/203.48 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 203.20/203.48 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 203.20/203.48 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 203.20/203.48 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 203.20/203.48 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 203.20/203.48 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 203.20/203.48 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 203.20/203.48 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 203.20/203.48 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 203.20/203.48 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 203.20/203.48 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 203.20/203.48 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 203.20/203.48 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 203.20/203.48 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 203.20/203.48 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 203.20/203.48 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 203.20/203.48 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 203.20/203.48 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 203.20/203.48 Found False_rect00:=(False_rect0 (q V)):(q V)
% 203.20/203.48 Found (False_rect0 (q V)) as proof of (q V)
% 203.20/203.48 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 203.20/203.48 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 203.20/203.48 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 203.20/203.48 Found False_rect00:=(False_rect0 (q V)):(q V)
% 203.20/203.48 Found (False_rect0 (q V)) as proof of (q V)
% 203.20/203.48 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 203.20/203.48 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 203.20/203.48 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_k W) V1)->False)->(q V))
% 203.20/203.48 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 203.20/203.48 Found (((or_ind2 (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 203.20/203.48 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 203.38/203.64 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 203.38/203.64 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 203.38/203.64 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 203.38/203.64 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 203.38/203.64 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot q) V1)->((rel_k W) V))
% 203.38/203.64 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 203.38/203.64 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 203.38/203.64 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 203.38/203.64 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 203.38/203.64 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 203.38/203.64 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 203.38/203.64 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 203.38/203.64 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 203.38/203.64 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 203.38/203.64 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 203.38/203.64 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 203.38/203.64 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 203.38/203.64 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 203.38/203.64 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 203.38/203.64 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 203.38/203.64 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 203.38/203.64 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 203.38/203.64 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 203.38/203.64 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 203.38/203.64 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 203.38/203.64 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 203.38/203.64 Found False_rect00:=(False_rect0 (q V)):(q V)
% 203.38/203.64 Found (False_rect0 (q V)) as proof of (q V)
% 203.38/203.64 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 203.38/203.64 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 203.38/203.64 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 203.38/203.64 Found False_rect00:=(False_rect0 (q V)):(q V)
% 203.38/203.64 Found (False_rect0 (q V)) as proof of (q V)
% 210.42/210.70 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 210.42/210.70 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 210.42/210.70 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_k W) V1)->False)->(q V))
% 210.42/210.70 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 210.42/210.70 Found (((or_ind2 (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 210.42/210.70 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 210.42/210.70 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 210.42/210.70 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.42/210.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.42/210.70 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 210.42/210.70 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot q) V1)->((rel_k W) V))
% 210.42/210.70 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 210.42/210.70 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.42/210.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.42/210.70 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 210.42/210.70 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 210.42/210.70 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.42/210.70 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.42/210.70 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.42/210.70 Found False_rect00:=(False_rect0 (q V)):(q V)
% 210.42/210.70 Found (False_rect0 (q V)) as proof of (q V)
% 210.42/210.70 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 210.42/210.70 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 210.42/210.70 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 210.42/210.70 Found False_rect00:=(False_rect0 (q V)):(q V)
% 210.42/210.70 Found (False_rect0 (q V)) as proof of (q V)
% 210.42/210.70 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 210.42/210.70 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 210.42/210.70 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_k W) V1)->False)->(q V))
% 210.42/210.70 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 210.42/210.70 Found (((or_ind2 (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 210.42/210.70 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 210.42/210.71 Found False_rect00:=(False_rect0 (q V)):(q V)
% 210.42/210.71 Found (False_rect0 (q V)) as proof of (q V)
% 210.42/210.71 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 210.42/210.71 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 210.42/210.71 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 210.42/210.71 Found False_rect00:=(False_rect0 (q V)):(q V)
% 210.42/210.71 Found (False_rect0 (q V)) as proof of (q V)
% 210.42/210.71 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 210.42/210.71 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 210.42/210.71 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_k W) V1)->False)->(q V))
% 210.42/210.71 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 210.42/210.71 Found (((or_ind2 (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 210.42/210.71 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 210.42/210.71 Found False_rect00:=(False_rect0 (q V0)):(q V0)
% 210.42/210.71 Found (False_rect0 (q V0)) as proof of (q V0)
% 210.42/210.71 Found ((fun (P:Type)=> ((False_rect P) x10)) (q V0)) as proof of (q V0)
% 210.42/210.71 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (q V0)
% 210.42/210.71 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (((mnot q) V1)->(q V0))
% 210.42/210.71 Found False_rect00:=(False_rect0 (q V0)):(q V0)
% 210.42/210.71 Found (False_rect0 (q V0)) as proof of (q V0)
% 210.42/210.71 Found ((fun (P:Type)=> ((False_rect P) x10)) (q V0)) as proof of (q V0)
% 210.42/210.71 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (q V0)
% 210.42/210.71 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of ((((rel_k W) V1)->False)->(q V0))
% 210.42/210.71 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 210.42/210.71 Found (((or_ind2 (q V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 210.42/210.71 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 210.42/210.71 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 210.42/210.71 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 210.42/210.71 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 210.42/210.71 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 210.42/210.71 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of (((mnot q) V1)->((rel_k W) V0))
% 210.42/210.71 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 210.42/210.71 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 210.42/210.71 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 210.42/210.71 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 210.42/210.71 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 210.42/210.72 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 210.42/210.72 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 210.42/210.72 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 210.42/210.72 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 210.42/210.72 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.42/210.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.42/210.72 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 210.42/210.72 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 210.42/210.72 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 210.42/210.72 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.42/210.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.42/210.72 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 210.42/210.72 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 210.42/210.72 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.42/210.72 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.42/210.72 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.42/210.72 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 210.42/210.72 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.42/210.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.42/210.72 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 210.42/210.72 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot q) V1)->((rel_k W) V))
% 210.42/210.72 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 210.42/210.72 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.42/210.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.42/210.72 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 210.42/210.72 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 210.42/210.72 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.42/210.72 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.42/210.72 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.50/210.78 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 210.50/210.78 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 210.50/210.78 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 210.50/210.78 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 210.50/210.78 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 210.50/210.78 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 210.50/210.78 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 210.50/210.78 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 210.50/210.78 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 210.50/210.78 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 210.50/210.78 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 210.50/210.78 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 210.50/210.78 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 210.50/210.78 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 210.50/210.78 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.50/210.78 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.50/210.78 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 210.50/210.78 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 210.50/210.78 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 210.50/210.78 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.50/210.78 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.50/210.78 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 210.50/210.78 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 210.50/210.78 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.50/210.78 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.50/210.78 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.50/210.78 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 210.50/210.78 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 210.50/210.78 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 210.50/210.78 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 210.50/210.78 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of (((mnot q) V1)->((rel_k W) V0))
% 210.50/210.79 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 210.50/210.79 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 210.50/210.79 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 210.50/210.79 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 210.50/210.79 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 210.50/210.79 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 210.50/210.79 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 210.50/210.79 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 210.50/210.79 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 210.50/210.79 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.50/210.79 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.50/210.79 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 210.50/210.79 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot q) V1)->((rel_k W) V))
% 210.50/210.79 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 210.50/210.79 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.50/210.79 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 210.50/210.79 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 210.50/210.79 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 210.50/210.79 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.50/210.79 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.50/210.79 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 210.50/210.79 Found False_rect00:=(False_rect0 (q V0)):(q V0)
% 210.50/210.79 Found (False_rect0 (q V0)) as proof of (q V0)
% 210.50/210.79 Found ((fun (P:Type)=> ((False_rect P) x10)) (q V0)) as proof of (q V0)
% 210.50/210.79 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (q V0)
% 210.50/210.79 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (((mnot q) V1)->(q V0))
% 210.50/210.79 Found False_rect00:=(False_rect0 (q V0)):(q V0)
% 210.50/210.79 Found (False_rect0 (q V0)) as proof of (q V0)
% 210.50/210.79 Found ((fun (P:Type)=> ((False_rect P) x10)) (q V0)) as proof of (q V0)
% 210.50/210.79 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (q V0)
% 210.50/210.79 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of ((((rel_k W) V1)->False)->(q V0))
% 210.50/210.79 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 226.59/226.91 Found (((or_ind2 (q V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 226.59/226.91 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 226.59/226.91 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 226.59/226.91 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 226.59/226.91 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 226.59/226.91 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 226.59/226.91 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 226.59/226.91 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 226.59/226.91 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 226.59/226.91 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 226.59/226.91 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 226.59/226.91 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 226.59/226.91 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 226.59/226.91 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 226.59/226.91 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 226.59/226.91 Found x30:False
% 226.59/226.91 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 226.59/226.91 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 226.59/226.91 Found x30:False
% 226.59/226.91 Found (fun (x5:(q V1))=> x30) as proof of False
% 226.59/226.91 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 226.59/226.91 Found x30:False
% 226.59/226.91 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 226.59/226.91 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 226.59/226.91 Found x30:False
% 226.59/226.91 Found (fun (x5:(q V1))=> x30) as proof of False
% 226.59/226.91 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 226.59/226.91 Found x30:False
% 226.59/226.91 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 226.59/226.91 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 226.59/226.91 Found x10:False
% 226.59/226.91 Found (fun (x5:(q V1))=> x10) as proof of False
% 226.59/226.91 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 226.59/226.91 Found x10:False
% 226.59/226.91 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 226.59/226.91 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 226.59/226.91 Found x30:False
% 226.59/226.91 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 226.59/226.91 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 226.59/226.91 Found x10:False
% 226.59/226.91 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 226.59/226.91 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 226.59/226.91 Found x10:False
% 226.59/226.91 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 226.59/226.91 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 226.59/226.91 Found x10:False
% 226.59/226.91 Found (fun (x5:(q V1))=> x10) as proof of False
% 226.59/226.91 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 226.59/226.91 Found x30:False
% 226.59/226.91 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 226.59/226.91 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 226.59/226.91 Found x10:False
% 226.59/226.91 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x10:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x10:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:(q V1))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x10:False
% 229.12/229.40 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 229.12/229.40 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 229.12/229.40 Found x10:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x10:False
% 229.12/229.40 Found (fun (x5:(q V1))=> x10) as proof of False
% 229.12/229.40 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 229.12/229.40 Found x10:False
% 229.12/229.40 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 229.12/229.40 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 229.12/229.40 Found x10:False
% 229.12/229.40 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 229.12/229.40 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 229.12/229.40 Found x10:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:(q V1))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 229.12/229.40 Found x10:False
% 229.12/229.40 Found (fun (x5:(q V1))=> x10) as proof of False
% 229.12/229.40 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 229.12/229.40 Found x10:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:(q V1))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:(q V1))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:(q V1))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 229.12/229.40 Found x10:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 229.12/229.40 Found x30:False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 229.12/229.40 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(q V1))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 233.20/233.48 Found x30:False
% 233.20/233.48 Found (fun (x5:(q V1))=> x30) as proof of False
% 233.20/233.48 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(q V1))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x30:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x30:False
% 233.20/233.48 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 233.20/233.48 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 233.20/233.48 Found x30:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(q V1))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 233.20/233.48 Found x30:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x30:False
% 233.20/233.48 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 233.20/233.48 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(q V1))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(q V1))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 233.20/233.48 Found x30:False
% 233.20/233.48 Found (fun (x5:(q V1))=> x30) as proof of False
% 233.20/233.48 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x30:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 233.20/233.48 Found x30:False
% 233.20/233.48 Found (fun (x5:(q V1))=> x30) as proof of False
% 233.20/233.48 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(q V1))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x30:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 233.20/233.48 Found x10:False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 233.20/233.48 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 234.25/234.62 Found x10:False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 234.25/234.62 Found x10:False
% 234.25/234.62 Found (fun (x5:(q V1))=> x10) as proof of False
% 234.25/234.62 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:(q V1))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:(q V1))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:(q V1))=> x30) as proof of ((q V1)->False)
% 234.25/234.62 Found x10:False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 234.25/234.62 Found x10:False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 234.25/234.62 Found x10:False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 234.25/234.62 Found x10:False
% 234.25/234.62 Found (fun (x5:(q V1))=> x10) as proof of False
% 234.25/234.62 Found (fun (x5:(q V1))=> x10) as proof of ((q V1)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 234.25/234.62 Found x10:False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 234.25/234.62 Found x10:False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 234.25/234.62 Found x10:False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 234.25/234.62 Found x10:False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 234.25/234.62 Found x10:False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 234.25/234.62 Found x10:False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 234.25/234.62 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 234.25/234.62 Found x30:False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x30) as proof of False
% 234.25/234.62 Found (fun (x5:((mnot q) V1))=> x30) as proof of (((mnot q) V1)->False)
% 281.05/281.39 Found x30:False
% 281.05/281.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 281.05/281.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 281.05/281.39 Found x10:False
% 281.05/281.39 Found (fun (x5:((mnot q) V1))=> x10) as proof of False
% 281.05/281.39 Found (fun (x5:((mnot q) V1))=> x10) as proof of (((mnot q) V1)->False)
% 281.05/281.39 Found x10:False
% 281.05/281.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 281.05/281.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 281.05/281.39 Found False_rect00:=(False_rect0 (q V)):(q V)
% 281.05/281.39 Found (False_rect0 (q V)) as proof of (q V)
% 281.05/281.39 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 281.05/281.39 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 281.05/281.39 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 281.05/281.39 Found False_rect00:=(False_rect0 (q V)):(q V)
% 281.05/281.39 Found (False_rect0 (q V)) as proof of (q V)
% 281.05/281.39 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 281.05/281.39 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 281.05/281.39 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_k W) V1)->False)->(q V))
% 281.05/281.39 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 281.05/281.39 Found (((or_ind2 (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 281.05/281.39 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 281.05/281.39 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 281.05/281.39 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 281.05/281.39 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 281.05/281.39 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 281.05/281.39 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot q) V1)->((rel_k W) V))
% 281.05/281.39 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 281.05/281.39 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 281.05/281.39 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 281.05/281.39 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 281.05/281.39 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 281.05/281.39 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 281.05/281.39 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 281.05/281.39 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 281.05/281.39 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 281.05/281.39 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 281.05/281.39 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 281.05/281.39 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 281.11/281.44 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 281.11/281.44 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 281.11/281.44 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 281.11/281.44 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 281.11/281.44 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 281.11/281.44 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 281.11/281.44 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 281.11/281.44 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 281.11/281.44 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 281.11/281.44 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 281.11/281.44 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 281.11/281.44 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 281.11/281.44 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 281.11/281.44 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 281.11/281.44 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 281.11/281.44 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 281.11/281.44 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 281.11/281.44 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 281.11/281.44 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 281.11/281.44 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 281.11/281.44 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 281.11/281.44 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 281.11/281.44 Found False_rect00:=(False_rect0 (q V)):(q V)
% 281.11/281.44 Found (False_rect0 (q V)) as proof of (q V)
% 281.11/281.44 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 281.11/281.44 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 281.11/281.44 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 281.11/281.44 Found False_rect00:=(False_rect0 (q V)):(q V)
% 281.11/281.44 Found (False_rect0 (q V)) as proof of (q V)
% 281.11/281.44 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 281.11/281.44 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 281.11/281.44 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_k W) V1)->False)->(q V))
% 281.11/281.44 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 281.11/281.44 Found (((or_ind2 (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 288.59/288.91 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 288.59/288.91 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 288.59/288.91 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.91 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 288.59/288.91 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot q) V1)->((rel_k W) V))
% 288.59/288.91 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 288.59/288.91 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.91 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 288.59/288.91 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 288.59/288.91 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.91 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.91 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.91 Found False_rect00:=(False_rect0 (q V)):(q V)
% 288.59/288.91 Found (False_rect0 (q V)) as proof of (q V)
% 288.59/288.91 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 288.59/288.91 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 288.59/288.91 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 288.59/288.91 Found False_rect00:=(False_rect0 (q V)):(q V)
% 288.59/288.91 Found (False_rect0 (q V)) as proof of (q V)
% 288.59/288.91 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 288.59/288.91 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 288.59/288.91 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_k W) V1)->False)->(q V))
% 288.59/288.91 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 288.59/288.91 Found (((or_ind2 (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 288.59/288.91 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 288.59/288.91 Found False_rect00:=(False_rect0 (q V0)):(q V0)
% 288.59/288.91 Found (False_rect0 (q V0)) as proof of (q V0)
% 288.59/288.91 Found ((fun (P:Type)=> ((False_rect P) x10)) (q V0)) as proof of (q V0)
% 288.59/288.91 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (q V0)
% 288.59/288.91 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (((mnot q) V1)->(q V0))
% 288.59/288.92 Found False_rect00:=(False_rect0 (q V0)):(q V0)
% 288.59/288.92 Found (False_rect0 (q V0)) as proof of (q V0)
% 288.59/288.92 Found ((fun (P:Type)=> ((False_rect P) x10)) (q V0)) as proof of (q V0)
% 288.59/288.92 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (q V0)
% 288.59/288.92 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of ((((rel_k W) V1)->False)->(q V0))
% 288.59/288.92 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 288.59/288.92 Found (((or_ind2 (q V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 288.59/288.92 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 288.59/288.92 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 288.59/288.92 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 288.59/288.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 288.59/288.92 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 288.59/288.92 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of (((mnot q) V1)->((rel_k W) V0))
% 288.59/288.92 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 288.59/288.92 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 288.59/288.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 288.59/288.92 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 288.59/288.92 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 288.59/288.92 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 288.59/288.92 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 288.59/288.92 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 288.59/288.92 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 288.59/288.92 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 288.59/288.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 288.59/288.92 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 288.59/288.92 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 288.59/288.92 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 288.59/288.92 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 288.59/288.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 288.59/288.92 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 288.59/288.92 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 288.59/288.92 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 288.59/288.92 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 288.59/288.93 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 288.59/288.93 Found False_rect00:=(False_rect0 (q V)):(q V)
% 288.59/288.93 Found (False_rect0 (q V)) as proof of (q V)
% 288.59/288.93 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 288.59/288.93 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 288.59/288.93 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 288.59/288.93 Found False_rect00:=(False_rect0 (q V)):(q V)
% 288.59/288.93 Found (False_rect0 (q V)) as proof of (q V)
% 288.59/288.93 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 288.59/288.93 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 288.59/288.93 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_k W) V1)->False)->(q V))
% 288.59/288.93 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 288.59/288.93 Found (((or_ind2 (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 288.59/288.93 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 288.59/288.93 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 288.59/288.93 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.93 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.93 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 288.59/288.93 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 288.59/288.93 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 288.59/288.93 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.93 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.93 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 288.59/288.93 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 288.59/288.93 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.93 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.93 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.93 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 288.59/288.93 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.93 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.93 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 288.59/288.93 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot q) V1)->((rel_k W) V))
% 288.59/288.94 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 288.59/288.94 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.94 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.94 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 288.59/288.94 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 288.59/288.94 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.94 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.94 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.94 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 288.59/288.94 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 288.59/288.94 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 288.59/288.94 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 288.59/288.94 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of (((mnot q) V1)->((rel_k W) V0))
% 288.59/288.94 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 288.59/288.94 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 288.59/288.94 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 288.59/288.94 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 288.59/288.94 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 288.59/288.94 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 288.59/288.94 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 288.59/288.94 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 288.59/288.94 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 288.59/288.94 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.94 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.94 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 288.59/288.94 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((q V1)->((rel_k W) V))
% 288.59/288.94 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 288.59/288.94 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.94 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.94 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 288.59/288.94 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 288.59/288.95 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.95 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.95 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.95 Found False_rect00:=(False_rect0 (q V0)):(q V0)
% 288.59/288.95 Found (False_rect0 (q V0)) as proof of (q V0)
% 288.59/288.95 Found ((fun (P:Type)=> ((False_rect P) x10)) (q V0)) as proof of (q V0)
% 288.59/288.95 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (q V0)
% 288.59/288.95 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (((mnot q) V1)->(q V0))
% 288.59/288.95 Found False_rect00:=(False_rect0 (q V0)):(q V0)
% 288.59/288.95 Found (False_rect0 (q V0)) as proof of (q V0)
% 288.59/288.95 Found ((fun (P:Type)=> ((False_rect P) x10)) (q V0)) as proof of (q V0)
% 288.59/288.95 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of (q V0)
% 288.59/288.95 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0))) as proof of ((((rel_k W) V1)->False)->(q V0))
% 288.59/288.95 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 288.59/288.95 Found (((or_ind2 (q V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 288.59/288.95 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (q V0)))) as proof of (q V0)
% 288.59/288.95 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 288.59/288.95 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.95 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.95 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 288.59/288.95 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot q) V1)->((rel_k W) V))
% 288.59/288.95 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 288.59/288.95 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.95 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 288.59/288.95 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 288.59/288.95 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 288.59/288.95 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.95 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.95 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 288.59/288.95 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 293.01/293.35 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 293.01/293.35 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 293.01/293.35 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 293.01/293.35 Found (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((q V1)->((rel_k W) V0))
% 293.01/293.35 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 293.01/293.35 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 293.01/293.35 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 293.01/293.35 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 293.01/293.35 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 293.01/293.35 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 293.01/293.35 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 293.01/293.35 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:((q V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) (q V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:(q V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 293.01/293.35 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 293.01/293.35 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 293.01/293.35 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 293.01/293.35 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 293.01/293.35 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot q) V1)->((rel_k W) V))
% 293.01/293.35 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 293.01/293.35 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 293.01/293.35 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 293.01/293.35 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 293.01/293.35 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 293.01/293.35 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 293.01/293.35 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 293.01/293.35 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 293.01/293.35 Found False_rect00:=(False_rect0 (q V)):(q V)
% 293.01/293.35 Found (False_rect0 (q V)) as proof of (q V)
% 293.01/293.35 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 293.01/293.35 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 293.01/293.35 Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 293.01/293.35 Found False_rect00:=(False_rect0 (q V)):(q V)
% 293.01/293.35 Found (False_rect0 (q V)) as proof of (q V)
% 293.01/293.35 Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 293.01/293.35 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 293.01/293.35 Found (fun
%------------------------------------------------------------------------------