TSTP Solution File: SYO419^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO419^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:23 EDT 2022
% Result : Timeout 300.08s 300.46s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYO419^1 : TPTP v7.5.0. Released v4.0.0.
% 0.06/0.07 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n032.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % RAMPerCPU : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % DateTime : Sat Mar 12 13:50:18 EST 2022
% 0.06/0.26 % CPUTime :
% 0.06/0.26 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.06/0.26 Python 2.7.5
% 0.10/0.45 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.10/0.45 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.10/0.45 FOF formula (<kernel.Constant object at 0x2b1f2e73bf38>, <kernel.Type object at 0x2b1f2e73bd40>) of role type named mu_type
% 0.10/0.45 Using role type
% 0.10/0.45 Declaring mu:Type
% 0.10/0.45 FOF formula (<kernel.Constant object at 0x2b1f2e73bef0>, <kernel.DependentProduct object at 0x2b1f2e73bf38>) of role type named meq_ind_type
% 0.10/0.45 Using role type
% 0.10/0.45 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.10/0.45 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
% 0.10/0.45 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.10/0.45 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.10/0.45 FOF formula (<kernel.Constant object at 0x2b1f2e73bf38>, <kernel.DependentProduct object at 0x2b1f2e73bdd0>) of role type named meq_prop_type
% 0.10/0.45 Using role type
% 0.10/0.45 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.10/0.45 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
% 0.10/0.45 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))))
% 0.10/0.45 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.10/0.45 FOF formula (<kernel.Constant object at 0x2b1f2e73be60>, <kernel.DependentProduct object at 0x2b1f2e73bef0>) of role type named mnot_type
% 0.10/0.45 Using role type
% 0.10/0.45 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.10/0.45 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.10/0.45 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.10/0.45 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.10/0.45 FOF formula (<kernel.Constant object at 0x2b1f2e73bef0>, <kernel.DependentProduct object at 0x2b1f2e73b6c8>) of role type named mor_type
% 0.10/0.45 Using role type
% 0.10/0.45 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.10/0.45 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
% 0.10/0.45 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))))
% 0.10/0.45 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.10/0.45 FOF formula (<kernel.Constant object at 0x2b1f2e73b6c8>, <kernel.DependentProduct object at 0x2b1f2e73b8c0>) of role type named mand_type
% 0.10/0.45 Using role type
% 0.10/0.45 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.10/0.45 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
% 0.10/0.45 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.10/0.45 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.10/0.45 FOF formula (<kernel.Constant object at 0x2b1f2e73b8c0>, <kernel.DependentProduct object at 0x2b1f2e73b7e8>) of role type named mimplies_type
% 0.10/0.45 Using role type
% 0.10/0.45 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.10/0.45 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
% 0.10/0.45 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.10/0.46 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.10/0.46 FOF formula (<kernel.Constant object at 0x2b1f2e73b7e8>, <kernel.DependentProduct object at 0x2b1f2e73ba70>) of role type named mimplied_type
% 0.10/0.46 Using role type
% 0.10/0.46 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.10/0.46 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
% 0.10/0.46 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.10/0.46 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.10/0.46 FOF formula (<kernel.Constant object at 0x2b1f2e73ba70>, <kernel.DependentProduct object at 0x2b1f2e73bef0>) of role type named mequiv_type
% 0.10/0.46 Using role type
% 0.10/0.46 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.10/0.46 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
% 0.10/0.46 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))))
% 0.10/0.46 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.10/0.46 FOF formula (<kernel.Constant object at 0x2b1f2e73bef0>, <kernel.DependentProduct object at 0x2b1f2e73b6c8>) of role type named mxor_type
% 0.10/0.46 Using role type
% 0.10/0.46 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.10/0.46 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
% 0.10/0.46 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.10/0.46 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.10/0.46 FOF formula (<kernel.Constant object at 0x2b1f2e73bf38>, <kernel.DependentProduct object at 0x2b1f2e73ba70>) of role type named mforall_ind_type
% 0.10/0.46 Using role type
% 0.10/0.46 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.10/0.46 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
% 0.10/0.46 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.10/0.46 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.10/0.46 FOF formula (<kernel.Constant object at 0x2b1f2e73ba70>, <kernel.DependentProduct object at 0x2b1f2e73b290>) of role type named mforall_prop_type
% 0.10/0.46 Using role type
% 0.10/0.46 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.10/0.46 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
% 0.10/0.46 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))))
% 0.10/0.46 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.10/0.46 FOF formula (<kernel.Constant object at 0x2b1f2e73b290>, <kernel.DependentProduct object at 0x2b1f2e73b2d8>) of role type named mexists_ind_type
% 0.10/0.46 Using role type
% 0.10/0.46 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.10/0.46 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
% 0.10/0.47 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)))))))
% 0.10/0.47 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.10/0.47 FOF formula (<kernel.Constant object at 0x2b1f2e73b2d8>, <kernel.DependentProduct object at 0x2b1f2e73b128>) of role type named mexists_prop_type
% 0.10/0.47 Using role type
% 0.10/0.47 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.10/0.47 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
% 0.10/0.47 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)))))))
% 0.10/0.47 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.10/0.47 FOF formula (<kernel.Constant object at 0x2b1f361ea830>, <kernel.DependentProduct object at 0x2b1f2e73b0e0>) of role type named mtrue_type
% 0.10/0.47 Using role type
% 0.10/0.47 Declaring mtrue:(fofType->Prop)
% 0.10/0.47 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.10/0.47 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.10/0.47 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.10/0.47 FOF formula (<kernel.Constant object at 0x2b1f361ea830>, <kernel.DependentProduct object at 0x2b1f2e73b0e0>) of role type named mfalse_type
% 0.10/0.47 Using role type
% 0.10/0.47 Declaring mfalse:(fofType->Prop)
% 0.10/0.47 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.10/0.47 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.10/0.47 Defined: mfalse:=(mnot mtrue)
% 0.10/0.47 FOF formula (<kernel.Constant object at 0x2b1f361ea830>, <kernel.DependentProduct object at 0x2b1f2e73bef0>) of role type named mbox_type
% 0.10/0.47 Using role type
% 0.10/0.47 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.10/0.47 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
% 0.10/0.47 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)))))
% 0.10/0.47 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.10/0.47 FOF formula (<kernel.Constant object at 0x2b1f2e73bef0>, <kernel.DependentProduct object at 0x2b1f2e73b290>) of role type named mdia_type
% 0.10/0.47 Using role type
% 0.10/0.47 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.10/0.47 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
% 0.10/0.47 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)))))
% 0.10/0.47 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.10/0.47 FOF formula (<kernel.Constant object at 0x2b1f2e73b128>, <kernel.DependentProduct object at 0x2b1f2e73bf38>) of role type named mreflexive_type
% 0.10/0.47 Using role type
% 0.10/0.47 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.10/0.47 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.10/0.47 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.10/0.47 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.10/0.48 FOF formula (<kernel.Constant object at 0x2b1f2e73bf38>, <kernel.DependentProduct object at 0x2b1f2e73b098>) of role type named msymmetric_type
% 0.10/0.48 Using role type
% 0.10/0.48 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.10/0.48 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
% 0.10/0.48 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)))))
% 0.10/0.48 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.10/0.48 FOF formula (<kernel.Constant object at 0x2b1f2e73b098>, <kernel.DependentProduct object at 0x2b1f2e73bb90>) of role type named mserial_type
% 0.10/0.48 Using role type
% 0.10/0.48 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.10/0.48 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
% 0.10/0.48 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))))))
% 0.10/0.48 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.10/0.48 FOF formula (<kernel.Constant object at 0x2b1f2e73bb90>, <kernel.DependentProduct object at 0x2b1f2e73b7e8>) of role type named mtransitive_type
% 0.10/0.48 Using role type
% 0.10/0.48 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.10/0.48 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
% 0.10/0.48 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)))))
% 0.10/0.48 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.10/0.48 FOF formula (<kernel.Constant object at 0x2b1f2e73b7e8>, <kernel.DependentProduct object at 0x2b1f2e73b098>) of role type named meuclidean_type
% 0.10/0.48 Using role type
% 0.10/0.48 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.10/0.48 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
% 0.10/0.48 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)))))
% 0.10/0.48 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.10/0.48 FOF formula (<kernel.Constant object at 0x2b1f2e73b098>, <kernel.DependentProduct object at 0x2b1f2e73bb90>) of role type named mpartially_functional_type
% 0.10/0.48 Using role type
% 0.10/0.48 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.10/0.48 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
% 0.10/0.48 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)))))
% 0.10/0.48 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))))
% 0.10/0.48 FOF formula (<kernel.Constant object at 0xf4be18>, <kernel.DependentProduct object at 0x2b1f2e73bf38>) of role type named mfunctional_type
% 0.10/0.48 Using role type
% 0.10/0.48 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.10/0.49 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
% 0.10/0.49 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)))))))))
% 0.10/0.49 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))))))))
% 0.10/0.49 FOF formula (<kernel.Constant object at 0xf4b908>, <kernel.DependentProduct object at 0x2b1f2e73b098>) of role type named mweakly_dense_type
% 0.10/0.49 Using role type
% 0.10/0.49 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.10/0.49 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
% 0.10/0.49 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)))))))))
% 0.10/0.49 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))))))))
% 0.10/0.49 FOF formula (<kernel.Constant object at 0x2b1f2e73b5f0>, <kernel.DependentProduct object at 0xcaf440>) of role type named mweakly_connected_type
% 0.10/0.49 Using role type
% 0.10/0.49 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.10/0.49 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
% 0.10/0.49 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))))))
% 0.10/0.49 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)))))
% 0.10/0.49 FOF formula (<kernel.Constant object at 0x2b1f2e73b638>, <kernel.DependentProduct object at 0xcaf878>) of role type named mweakly_directed_type
% 0.10/0.49 Using role type
% 0.10/0.49 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.10/0.49 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
% 0.10/0.49 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))))))))
% 0.10/0.49 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)))))))
% 0.10/0.49 FOF formula (<kernel.Constant object at 0x2b1f2e73b7e8>, <kernel.DependentProduct object at 0xcaf368>) of role type named mvalid_type
% 0.10/0.49 Using role type
% 0.10/0.49 Declaring mvalid:((fofType->Prop)->Prop)
% 0.10/0.49 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.10/0.49 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.10/0.49 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.10/0.50 FOF formula (<kernel.Constant object at 0xcaf5a8>, <kernel.DependentProduct object at 0x2b1f2e739200>) of role type named minvalid_type
% 0.10/0.50 Using role type
% 0.10/0.50 Declaring minvalid:((fofType->Prop)->Prop)
% 0.10/0.50 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.10/0.50 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.10/0.50 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.10/0.50 FOF formula (<kernel.Constant object at 0xcafc68>, <kernel.DependentProduct object at 0x2b1f2e7395f0>) of role type named msatisfiable_type
% 0.10/0.50 Using role type
% 0.10/0.50 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.10/0.50 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.10/0.50 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.10/0.50 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.10/0.50 FOF formula (<kernel.Constant object at 0xcaf9e0>, <kernel.DependentProduct object at 0x2b1f2e7395f0>) of role type named mcountersatisfiable_type
% 0.10/0.50 Using role type
% 0.10/0.50 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.10/0.50 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.10/0.50 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.10/0.50 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.10/0.50 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^2.ax, trying next directory
% 0.10/0.50 FOF formula (<kernel.Constant object at 0x2b1f361f14d0>, <kernel.DependentProduct object at 0xf4be18>) of role type named rel_d_type
% 0.10/0.50 Using role type
% 0.10/0.50 Declaring rel_d:(fofType->(fofType->Prop))
% 0.10/0.50 FOF formula (<kernel.Constant object at 0x2b1f361f14d0>, <kernel.DependentProduct object at 0xf4be18>) of role type named mbox_d_type
% 0.10/0.50 Using role type
% 0.10/0.50 Declaring mbox_d:((fofType->Prop)->(fofType->Prop))
% 0.10/0.50 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_d) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))) of role definition named mbox_d
% 0.10/0.50 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_d) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))))
% 0.10/0.50 Defined: mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))
% 0.10/0.50 FOF formula (<kernel.Constant object at 0xf4be18>, <kernel.DependentProduct object at 0x2b1f2e73bcf8>) of role type named mdia_d_type
% 0.10/0.50 Using role type
% 0.10/0.50 Declaring mdia_d:((fofType->Prop)->(fofType->Prop))
% 0.10/0.50 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))) of role definition named mdia_d
% 0.10/0.50 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))))
% 0.10/0.50 Defined: mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))
% 0.10/0.50 FOF formula (mserial rel_d) of role axiom named a1
% 0.10/0.50 A new axiom: (mserial rel_d)
% 0.10/0.50 FOF formula (<kernel.Constant object at 0xcac2d8>, <kernel.DependentProduct object at 0xcac170>) of role type named p_type
% 0.10/0.50 Using role type
% 0.10/0.50 Declaring p:(fofType->Prop)
% 0.10/0.50 FOF formula (mvalid (mnot (mbox_d ((mand p) (mnot p))))) of role conjecture named prove
% 0.10/0.50 Conjecture to prove = (mvalid (mnot (mbox_d ((mand p) (mnot p))))):Prop
% 0.10/0.50 Parameter mu_DUMMY:mu.
% 0.10/0.50 Parameter fofType_DUMMY:fofType.
% 0.10/0.50 We need to prove ['(mvalid (mnot (mbox_d ((mand p) (mnot p)))))']
% 0.10/0.50 Parameter mu:Type.
% 0.10/0.50 Parameter fofType:Type.
% 0.10/0.50 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.10/0.50 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.10/0.50 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.10/0.50 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.10/0.50 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.10/0.50 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.10/0.50 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.10/0.50 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.10/0.50 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.10/0.50 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.10/0.50 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.10/0.50 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.10/0.50 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)).
% 0.10/0.50 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.10/0.50 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.10/0.50 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))).
% 0.10/0.50 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.10/0.50 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.10/0.50 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.10/0.50 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.10/0.50 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).
% 0.10/0.50 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).
% 0.10/0.50 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).
% 0.10/0.50 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).
% 0.10/0.50 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).
% 0.10/0.50 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).
% 0.10/0.50 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).
% 2.37/2.56 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 2.37/2.56 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 2.37/2.56 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 2.37/2.56 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 2.37/2.56 Parameter rel_d:(fofType->(fofType->Prop)).
% 2.37/2.56 Definition mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 2.37/2.56 Definition mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 2.37/2.56 Axiom a1:(mserial rel_d).
% 2.37/2.56 Parameter p:(fofType->Prop).
% 2.37/2.56 Trying to prove (mvalid (mnot (mbox_d ((mand p) (mnot p)))))
% 2.37/2.56 Found classic0:=(classic ((mnot p) V)):((or ((mnot p) V)) (not ((mnot p) V)))
% 2.37/2.56 Found (classic ((mnot p) V)) as proof of ((or ((mnot p) V)) ((mnot (mnot p)) V))
% 2.37/2.56 Found (classic ((mnot p) V)) as proof of ((or ((mnot p) V)) ((mnot (mnot p)) V))
% 2.37/2.56 Found (classic ((mnot p) V)) as proof of (((mor (mnot p)) (mnot (mnot p))) V)
% 2.37/2.56 Found (x1 (classic ((mnot p) V))) as proof of False
% 2.37/2.56 Found (fun (x1:(((mand p) (mnot p)) V))=> (x1 (classic ((mnot p) V)))) as proof of False
% 2.37/2.56 Found (fun (x1:(((mand p) (mnot p)) V))=> (x1 (classic ((mnot p) V)))) as proof of ((((mand p) (mnot p)) V)->False)
% 2.37/2.56 Found classic0:=(classic ((mnot p) V)):((or ((mnot p) V)) (not ((mnot p) V)))
% 2.37/2.56 Found (classic ((mnot p) V)) as proof of ((or ((mnot p) V)) ((mnot (mnot p)) V))
% 2.37/2.56 Found (classic ((mnot p) V)) as proof of ((or ((mnot p) V)) ((mnot (mnot p)) V))
% 2.37/2.56 Found (classic ((mnot p) V)) as proof of (((mor (mnot p)) (mnot (mnot p))) V)
% 2.37/2.56 Found (x1 (classic ((mnot p) V))) as proof of False
% 2.37/2.56 Found (fun (x1:((mnot ((mor (mnot p)) (mnot (mnot p)))) V))=> (x1 (classic ((mnot p) V)))) as proof of False
% 2.37/2.56 Found (fun (x1:((mnot ((mor (mnot p)) (mnot (mnot p)))) V))=> (x1 (classic ((mnot p) V)))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V)->False)
% 2.37/2.56 Found x10:False
% 2.37/2.56 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 2.37/2.56 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 2.37/2.56 Found x10:False
% 2.37/2.56 Found (fun (x3:(((mand p) (mnot p)) V0))=> x10) as proof of False
% 2.37/2.56 Found (fun (x3:(((mand p) (mnot p)) V0))=> x10) as proof of ((((mand p) (mnot p)) V0)->False)
% 2.37/2.56 Found x10:False
% 2.37/2.56 Found (fun (x3:((mnot ((mor (mnot p)) (mnot (mnot p)))) V0))=> x10) as proof of False
% 2.37/2.56 Found (fun (x3:((mnot ((mor (mnot p)) (mnot (mnot p)))) V0))=> x10) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V0)->False)
% 2.37/2.56 Found x10:False
% 2.37/2.56 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 2.37/2.56 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 2.37/2.56 Found classic0:=(classic ((mnot p) V0)):((or ((mnot p) V0)) (not ((mnot p) V0)))
% 2.37/2.56 Found (classic ((mnot p) V0)) as proof of ((or ((mnot p) V0)) ((mnot (mnot p)) V0))
% 2.37/2.56 Found (classic ((mnot p) V0)) as proof of ((or ((mnot p) V0)) ((mnot (mnot p)) V0))
% 2.37/2.56 Found (classic ((mnot p) V0)) as proof of (((mor (mnot p)) (mnot (mnot p))) V0)
% 2.37/2.56 Found (x3 (classic ((mnot p) V0))) as proof of False
% 2.37/2.56 Found (fun (x3:(((mand p) (mnot p)) V0))=> (x3 (classic ((mnot p) V0)))) as proof of False
% 2.37/2.56 Found (fun (x3:(((mand p) (mnot p)) V0))=> (x3 (classic ((mnot p) V0)))) as proof of ((((mand p) (mnot p)) V0)->False)
% 2.37/2.56 Found classic0:=(classic ((mnot p) V0)):((or ((mnot p) V0)) (not ((mnot p) V0)))
% 2.37/2.56 Found (classic ((mnot p) V0)) as proof of ((or ((mnot p) V0)) ((mnot (mnot p)) V0))
% 2.37/2.56 Found (classic ((mnot p) V0)) as proof of ((or ((mnot p) V0)) ((mnot (mnot p)) V0))
% 2.37/2.56 Found (classic ((mnot p) V0)) as proof of (((mor (mnot p)) (mnot (mnot p))) V0)
% 2.37/2.56 Found (x3 (classic ((mnot p) V0))) as proof of False
% 2.37/2.56 Found (fun (x3:((mnot ((mor (mnot p)) (mnot (mnot p)))) V0))=> (x3 (classic ((mnot p) V0)))) as proof of False
% 6.53/6.76 Found (fun (x3:((mnot ((mor (mnot p)) (mnot (mnot p)))) V0))=> (x3 (classic ((mnot p) V0)))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V0)->False)
% 6.53/6.76 Found classic0:=(classic ((mnot p) V)):((or ((mnot p) V)) (not ((mnot p) V)))
% 6.53/6.76 Found (classic ((mnot p) V)) as proof of ((or ((mnot p) V)) ((mnot (mnot p)) V))
% 6.53/6.76 Found (classic ((mnot p) V)) as proof of ((or ((mnot p) V)) ((mnot (mnot p)) V))
% 6.53/6.76 Found (classic ((mnot p) V)) as proof of (((mor (mnot p)) (mnot (mnot p))) V)
% 6.53/6.76 Found (x1 (classic ((mnot p) V))) as proof of False
% 6.53/6.76 Found (fun (x1:(((mand p) (mnot p)) V))=> (x1 (classic ((mnot p) V)))) as proof of False
% 6.53/6.76 Found (fun (x1:(((mand p) (mnot p)) V))=> (x1 (classic ((mnot p) V)))) as proof of ((((mand p) (mnot p)) V)->False)
% 6.53/6.76 Found classic0:=(classic ((mnot p) V)):((or ((mnot p) V)) (not ((mnot p) V)))
% 6.53/6.76 Found (classic ((mnot p) V)) as proof of ((or ((mnot p) V)) ((mnot (mnot p)) V))
% 6.53/6.76 Found (classic ((mnot p) V)) as proof of ((or ((mnot p) V)) ((mnot (mnot p)) V))
% 6.53/6.76 Found (classic ((mnot p) V)) as proof of (((mor (mnot p)) (mnot (mnot p))) V)
% 6.53/6.76 Found (x1 (classic ((mnot p) V))) as proof of False
% 6.53/6.76 Found (fun (x1:(((mand p) (mnot p)) V))=> (x1 (classic ((mnot p) V)))) as proof of False
% 6.53/6.76 Found (fun (x1:(((mand p) (mnot p)) V))=> (x1 (classic ((mnot p) V)))) as proof of ((((mand p) (mnot p)) V)->False)
% 6.53/6.76 Found classic0:=(classic ((mnot p) V)):((or ((mnot p) V)) (not ((mnot p) V)))
% 6.53/6.76 Found (classic ((mnot p) V)) as proof of ((or ((mnot p) V)) ((mnot (mnot p)) V))
% 6.53/6.76 Found (classic ((mnot p) V)) as proof of ((or ((mnot p) V)) ((mnot (mnot p)) V))
% 6.53/6.76 Found (classic ((mnot p) V)) as proof of (((mor (mnot p)) (mnot (mnot p))) V)
% 6.53/6.76 Found (x1 (classic ((mnot p) V))) as proof of False
% 6.53/6.76 Found (fun (x1:((mnot ((mor (mnot p)) (mnot (mnot p)))) V))=> (x1 (classic ((mnot p) V)))) as proof of False
% 6.53/6.76 Found (fun (x1:((mnot ((mor (mnot p)) (mnot (mnot p)))) V))=> (x1 (classic ((mnot p) V)))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V)->False)
% 6.53/6.76 Found x10:False
% 6.53/6.76 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 6.53/6.76 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 6.53/6.76 Found x10:False
% 6.53/6.76 Found (fun (x3:(((mand p) (mnot p)) V0))=> x10) as proof of False
% 6.53/6.76 Found (fun (x3:(((mand p) (mnot p)) V0))=> x10) as proof of ((((mand p) (mnot p)) V0)->False)
% 6.53/6.76 Found x10:False
% 6.53/6.76 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 6.53/6.76 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 6.53/6.76 Found x10:False
% 6.53/6.76 Found (fun (x3:(((mand p) (mnot p)) V0))=> x10) as proof of False
% 6.53/6.76 Found (fun (x3:(((mand p) (mnot p)) V0))=> x10) as proof of ((((mand p) (mnot p)) V0)->False)
% 6.53/6.76 Found x10:False
% 6.53/6.76 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 6.53/6.76 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 6.53/6.76 Found x10:False
% 6.53/6.76 Found (fun (x3:((mnot ((mor (mnot p)) (mnot (mnot p)))) V0))=> x10) as proof of False
% 6.53/6.76 Found (fun (x3:((mnot ((mor (mnot p)) (mnot (mnot p)))) V0))=> x10) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V0)->False)
% 6.53/6.76 Found x10:False
% 6.53/6.76 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 6.53/6.76 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 6.53/6.76 Found x10:False
% 6.53/6.76 Found (fun (x5:(((mand p) (mnot p)) V1))=> x10) as proof of False
% 6.53/6.76 Found (fun (x5:(((mand p) (mnot p)) V1))=> x10) as proof of ((((mand p) (mnot p)) V1)->False)
% 6.53/6.76 Found x30:False
% 6.53/6.76 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 6.53/6.76 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 6.53/6.76 Found x30:False
% 6.53/6.76 Found (fun (x5:(((mand p) (mnot p)) V1))=> x30) as proof of False
% 6.53/6.76 Found (fun (x5:(((mand p) (mnot p)) V1))=> x30) as proof of ((((mand p) (mnot p)) V1)->False)
% 6.53/6.76 Found x10:False
% 6.53/6.76 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> x10) as proof of False
% 6.53/6.76 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> x10) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->False)
% 6.53/6.76 Found x30:False
% 11.26/11.45 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 11.26/11.45 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 11.26/11.45 Found x10:False
% 11.26/11.45 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 11.26/11.45 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 11.26/11.45 Found x30:False
% 11.26/11.45 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> x30) as proof of False
% 11.26/11.45 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> x30) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->False)
% 11.26/11.45 Found classic0:=(classic ((mnot p) V0)):((or ((mnot p) V0)) (not ((mnot p) V0)))
% 11.26/11.45 Found (classic ((mnot p) V0)) as proof of ((or ((mnot p) V0)) ((mnot (mnot p)) V0))
% 11.26/11.45 Found (classic ((mnot p) V0)) as proof of ((or ((mnot p) V0)) ((mnot (mnot p)) V0))
% 11.26/11.45 Found (classic ((mnot p) V0)) as proof of (((mor (mnot p)) (mnot (mnot p))) V0)
% 11.26/11.45 Found (x3 (classic ((mnot p) V0))) as proof of False
% 11.26/11.45 Found (fun (x3:(((mand p) (mnot p)) V0))=> (x3 (classic ((mnot p) V0)))) as proof of False
% 11.26/11.45 Found (fun (x3:(((mand p) (mnot p)) V0))=> (x3 (classic ((mnot p) V0)))) as proof of ((((mand p) (mnot p)) V0)->False)
% 11.26/11.45 Found classic0:=(classic ((mnot p) V0)):((or ((mnot p) V0)) (not ((mnot p) V0)))
% 11.26/11.45 Found (classic ((mnot p) V0)) as proof of ((or ((mnot p) V0)) ((mnot (mnot p)) V0))
% 11.26/11.45 Found (classic ((mnot p) V0)) as proof of ((or ((mnot p) V0)) ((mnot (mnot p)) V0))
% 11.26/11.45 Found (classic ((mnot p) V0)) as proof of (((mor (mnot p)) (mnot (mnot p))) V0)
% 11.26/11.45 Found (x3 (classic ((mnot p) V0))) as proof of False
% 11.26/11.45 Found (fun (x3:(((mand p) (mnot p)) V0))=> (x3 (classic ((mnot p) V0)))) as proof of False
% 11.26/11.45 Found (fun (x3:(((mand p) (mnot p)) V0))=> (x3 (classic ((mnot p) V0)))) as proof of ((((mand p) (mnot p)) V0)->False)
% 11.26/11.45 Found classic0:=(classic ((mnot p) V0)):((or ((mnot p) V0)) (not ((mnot p) V0)))
% 11.26/11.45 Found (classic ((mnot p) V0)) as proof of ((or ((mnot p) V0)) ((mnot (mnot p)) V0))
% 11.26/11.45 Found (classic ((mnot p) V0)) as proof of ((or ((mnot p) V0)) ((mnot (mnot p)) V0))
% 11.26/11.45 Found (classic ((mnot p) V0)) as proof of (((mor (mnot p)) (mnot (mnot p))) V0)
% 11.26/11.45 Found (x3 (classic ((mnot p) V0))) as proof of False
% 11.26/11.45 Found (fun (x3:((mnot ((mor (mnot p)) (mnot (mnot p)))) V0))=> (x3 (classic ((mnot p) V0)))) as proof of False
% 11.26/11.45 Found (fun (x3:((mnot ((mor (mnot p)) (mnot (mnot p)))) V0))=> (x3 (classic ((mnot p) V0)))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V0)->False)
% 11.26/11.45 Found classic0:=(classic ((mnot p) V)):((or ((mnot p) V)) (not ((mnot p) V)))
% 11.26/11.45 Found (classic ((mnot p) V)) as proof of ((or ((mnot p) V)) ((mnot (mnot p)) V))
% 11.26/11.45 Found (classic ((mnot p) V)) as proof of ((or ((mnot p) V)) ((mnot (mnot p)) V))
% 11.26/11.45 Found (classic ((mnot p) V)) as proof of (((mor (mnot p)) (mnot (mnot p))) V)
% 11.26/11.45 Found (x1 (classic ((mnot p) V))) as proof of False
% 11.26/11.45 Found (fun (x1:(((mand p) (mnot p)) V))=> (x1 (classic ((mnot p) V)))) as proof of False
% 11.26/11.45 Found (fun (x1:(((mand p) (mnot p)) V))=> (x1 (classic ((mnot p) V)))) as proof of ((((mand p) (mnot p)) V)->False)
% 11.26/11.45 Found classic0:=(classic ((mnot p) V1)):((or ((mnot p) V1)) (not ((mnot p) V1)))
% 11.26/11.45 Found (classic ((mnot p) V1)) as proof of ((or ((mnot p) V1)) ((mnot (mnot p)) V1))
% 11.26/11.45 Found (classic ((mnot p) V1)) as proof of ((or ((mnot p) V1)) ((mnot (mnot p)) V1))
% 11.26/11.45 Found (classic ((mnot p) V1)) as proof of (((mor (mnot p)) (mnot (mnot p))) V1)
% 11.26/11.45 Found (x5 (classic ((mnot p) V1))) as proof of False
% 11.26/11.45 Found (fun (x5:(((mand p) (mnot p)) V1))=> (x5 (classic ((mnot p) V1)))) as proof of False
% 11.26/11.45 Found (fun (x5:(((mand p) (mnot p)) V1))=> (x5 (classic ((mnot p) V1)))) as proof of ((((mand p) (mnot p)) V1)->False)
% 11.26/11.45 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 11.26/11.45 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 11.26/11.45 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 11.26/11.45 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 11.26/11.45 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V))
% 11.26/11.45 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 12.77/12.99 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 12.77/12.99 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 12.77/12.99 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 12.77/12.99 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 12.77/12.99 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 12.77/12.99 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 12.77/12.99 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 12.77/12.99 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 12.77/12.99 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 12.77/12.99 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 12.77/12.99 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 12.77/12.99 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V0))
% 12.77/12.99 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 12.77/12.99 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 12.77/12.99 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 12.77/12.99 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 12.77/12.99 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 12.77/12.99 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 12.77/12.99 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 12.77/12.99 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 12.77/12.99 Found classic0:=(classic ((mnot p) V1)):((or ((mnot p) V1)) (not ((mnot p) V1)))
% 12.77/12.99 Found (classic ((mnot p) V1)) as proof of ((or ((mnot p) V1)) ((mnot (mnot p)) V1))
% 12.77/12.99 Found (classic ((mnot p) V1)) as proof of ((or ((mnot p) V1)) ((mnot (mnot p)) V1))
% 12.77/12.99 Found (classic ((mnot p) V1)) as proof of (((mor (mnot p)) (mnot (mnot p))) V1)
% 12.77/12.99 Found (x5 (classic ((mnot p) V1))) as proof of False
% 12.77/12.99 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> (x5 (classic ((mnot p) V1)))) as proof of False
% 12.77/12.99 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> (x5 (classic ((mnot p) V1)))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->False)
% 12.77/12.99 Found x10:False
% 12.77/12.99 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 12.77/12.99 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 12.77/12.99 Found x10:False
% 12.77/12.99 Found (fun (x3:(((mand p) (mnot p)) V0))=> x10) as proof of False
% 12.77/12.99 Found (fun (x3:(((mand p) (mnot p)) V0))=> x10) as proof of ((((mand p) (mnot p)) V0)->False)
% 12.77/13.00 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 12.77/13.00 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 12.77/13.00 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 12.77/13.00 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 12.77/13.00 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->((rel_d W) V0))
% 12.77/13.00 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 12.77/13.00 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 12.77/13.00 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 12.77/13.00 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 12.77/13.00 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 12.77/13.00 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 12.77/13.00 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 12.77/13.00 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 12.77/13.00 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 12.77/13.00 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 12.77/13.00 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 12.77/13.00 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 12.77/13.00 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->((rel_d W) V))
% 12.77/13.00 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 12.77/13.00 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 12.77/13.00 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 12.77/13.00 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 12.77/13.00 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 12.77/13.00 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 12.77/13.00 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 12.77/13.00 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 17.89/18.12 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 17.89/18.12 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 17.89/18.12 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 17.89/18.12 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 17.89/18.12 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V))
% 17.89/18.12 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 17.89/18.12 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 17.89/18.12 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 17.89/18.12 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 17.89/18.12 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 17.89/18.12 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 17.89/18.12 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 17.89/18.12 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 17.89/18.12 Found x10:False
% 17.89/18.12 Found (fun (x5:(((mand p) (mnot p)) V1))=> x10) as proof of False
% 17.89/18.12 Found (fun (x5:(((mand p) (mnot p)) V1))=> x10) as proof of ((((mand p) (mnot p)) V1)->False)
% 17.89/18.12 Found x10:False
% 17.89/18.12 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 17.89/18.12 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 17.89/18.12 Found x30:False
% 17.89/18.12 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 17.89/18.12 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 17.89/18.12 Found x30:False
% 17.89/18.12 Found (fun (x5:(((mand p) (mnot p)) V1))=> x30) as proof of False
% 17.89/18.12 Found (fun (x5:(((mand p) (mnot p)) V1))=> x30) as proof of ((((mand p) (mnot p)) V1)->False)
% 17.89/18.12 Found x30:False
% 17.89/18.12 Found (fun (x5:(((mand p) (mnot p)) V1))=> x30) as proof of False
% 17.89/18.12 Found (fun (x5:(((mand p) (mnot p)) V1))=> x30) as proof of ((((mand p) (mnot p)) V1)->False)
% 17.89/18.12 Found x30:False
% 17.89/18.12 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 17.89/18.12 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 17.89/18.12 Found x10:False
% 17.89/18.12 Found (fun (x5:(((mand p) (mnot p)) V1))=> x10) as proof of False
% 17.89/18.12 Found (fun (x5:(((mand p) (mnot p)) V1))=> x10) as proof of ((((mand p) (mnot p)) V1)->False)
% 17.89/18.12 Found x10:False
% 17.89/18.12 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 17.89/18.12 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 17.89/18.12 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 17.89/18.12 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 17.89/18.12 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 17.89/18.12 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 17.89/18.12 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->((rel_d W) V))
% 17.89/18.12 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 17.89/18.12 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 17.89/18.12 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 17.89/18.12 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 26.85/27.07 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 26.85/27.07 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 26.85/27.07 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 26.85/27.07 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 26.85/27.07 Found x10:False
% 26.85/27.07 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 26.85/27.07 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 26.85/27.07 Found x10:False
% 26.85/27.07 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> x10) as proof of False
% 26.85/27.07 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> x10) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->False)
% 26.85/27.07 Found x30:False
% 26.85/27.07 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> x30) as proof of False
% 26.85/27.07 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> x30) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->False)
% 26.85/27.07 Found x30:False
% 26.85/27.07 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 26.85/27.07 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 26.85/27.07 Found classic0:=(classic ((mnot p) V0)):((or ((mnot p) V0)) (not ((mnot p) V0)))
% 26.85/27.07 Found (classic ((mnot p) V0)) as proof of ((or ((mnot p) V0)) ((mnot (mnot p)) V0))
% 26.85/27.07 Found (classic ((mnot p) V0)) as proof of ((or ((mnot p) V0)) ((mnot (mnot p)) V0))
% 26.85/27.07 Found (classic ((mnot p) V0)) as proof of (((mor (mnot p)) (mnot (mnot p))) V0)
% 26.85/27.07 Found (x3 (classic ((mnot p) V0))) as proof of False
% 26.85/27.07 Found (fun (x3:(((mand p) (mnot p)) V0))=> (x3 (classic ((mnot p) V0)))) as proof of False
% 26.85/27.07 Found (fun (x3:(((mand p) (mnot p)) V0))=> (x3 (classic ((mnot p) V0)))) as proof of ((((mand p) (mnot p)) V0)->False)
% 26.85/27.07 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 26.85/27.07 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 26.85/27.07 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 26.85/27.07 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 26.85/27.07 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V))
% 26.85/27.07 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 26.85/27.07 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 26.85/27.07 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 26.85/27.07 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 26.85/27.07 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 26.85/27.07 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 26.85/27.07 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 26.85/27.07 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 32.56/32.79 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 32.56/32.79 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 32.56/32.79 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 32.56/32.79 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 32.56/32.79 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V0))
% 32.56/32.79 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 32.56/32.79 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 32.56/32.79 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 32.56/32.79 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 32.56/32.79 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 32.56/32.79 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 32.56/32.79 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 32.56/32.79 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 32.56/32.79 Found classic0:=(classic ((mnot p) V1)):((or ((mnot p) V1)) (not ((mnot p) V1)))
% 32.56/32.79 Found (classic ((mnot p) V1)) as proof of ((or ((mnot p) V1)) ((mnot (mnot p)) V1))
% 32.56/32.79 Found (classic ((mnot p) V1)) as proof of ((or ((mnot p) V1)) ((mnot (mnot p)) V1))
% 32.56/32.79 Found (classic ((mnot p) V1)) as proof of (((mor (mnot p)) (mnot (mnot p))) V1)
% 32.56/32.79 Found (x5 (classic ((mnot p) V1))) as proof of False
% 32.56/32.79 Found (fun (x5:(((mand p) (mnot p)) V1))=> (x5 (classic ((mnot p) V1)))) as proof of False
% 32.56/32.79 Found (fun (x5:(((mand p) (mnot p)) V1))=> (x5 (classic ((mnot p) V1)))) as proof of ((((mand p) (mnot p)) V1)->False)
% 32.56/32.79 Found classic0:=(classic ((mnot p) V1)):((or ((mnot p) V1)) (not ((mnot p) V1)))
% 32.56/32.79 Found (classic ((mnot p) V1)) as proof of ((or ((mnot p) V1)) ((mnot (mnot p)) V1))
% 32.56/32.79 Found (classic ((mnot p) V1)) as proof of ((or ((mnot p) V1)) ((mnot (mnot p)) V1))
% 32.56/32.79 Found (classic ((mnot p) V1)) as proof of (((mor (mnot p)) (mnot (mnot p))) V1)
% 32.56/32.79 Found (x5 (classic ((mnot p) V1))) as proof of False
% 32.56/32.79 Found (fun (x5:(((mand p) (mnot p)) V1))=> (x5 (classic ((mnot p) V1)))) as proof of False
% 32.56/32.79 Found (fun (x5:(((mand p) (mnot p)) V1))=> (x5 (classic ((mnot p) V1)))) as proof of ((((mand p) (mnot p)) V1)->False)
% 32.56/32.79 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 32.56/32.79 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 32.56/32.79 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 32.56/32.79 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 32.56/32.79 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->((rel_d W) V))
% 32.56/32.79 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 32.56/32.79 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 32.56/32.79 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 34.14/34.37 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 34.14/34.37 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 34.14/34.37 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 34.14/34.37 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 34.14/34.37 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 34.14/34.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 34.14/34.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 34.14/34.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 34.14/34.37 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 34.14/34.37 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->((rel_d W) V0))
% 34.14/34.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 34.14/34.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 34.14/34.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 34.14/34.37 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 34.14/34.37 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 34.14/34.37 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 34.14/34.37 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 34.14/34.37 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 34.14/34.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 34.14/34.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 34.14/34.37 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 34.14/34.37 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 34.14/34.37 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V0))
% 34.14/34.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 34.14/34.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 34.14/34.37 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 34.14/34.37 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 34.54/34.76 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 34.54/34.76 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 34.54/34.76 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 34.54/34.76 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 34.54/34.76 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 34.54/34.76 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 34.54/34.76 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 34.54/34.76 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 34.54/34.76 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V))
% 34.54/34.76 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 34.54/34.76 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 34.54/34.76 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 34.54/34.76 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 34.54/34.76 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 34.54/34.76 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 34.54/34.76 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 34.54/34.76 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 34.54/34.76 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 34.54/34.76 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 34.54/34.76 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 34.54/34.76 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 34.54/34.76 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V))
% 34.54/34.76 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 34.54/34.76 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 34.54/34.76 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 34.54/34.76 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 34.54/34.76 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 34.54/34.76 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 34.54/34.76 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 37.26/37.46 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 37.26/37.46 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 37.26/37.46 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 37.26/37.46 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 37.26/37.46 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 37.26/37.46 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V0))
% 37.26/37.46 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 37.26/37.46 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 37.26/37.46 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 37.26/37.46 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 37.26/37.46 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 37.26/37.46 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 37.26/37.46 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 37.26/37.46 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 37.26/37.46 Found classic0:=(classic ((mnot p) V1)):((or ((mnot p) V1)) (not ((mnot p) V1)))
% 37.26/37.46 Found (classic ((mnot p) V1)) as proof of ((or ((mnot p) V1)) ((mnot (mnot p)) V1))
% 37.26/37.46 Found (classic ((mnot p) V1)) as proof of ((or ((mnot p) V1)) ((mnot (mnot p)) V1))
% 37.26/37.46 Found (classic ((mnot p) V1)) as proof of (((mor (mnot p)) (mnot (mnot p))) V1)
% 37.26/37.46 Found (x5 (classic ((mnot p) V1))) as proof of False
% 37.26/37.46 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> (x5 (classic ((mnot p) V1)))) as proof of False
% 37.26/37.46 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> (x5 (classic ((mnot p) V1)))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->False)
% 37.26/37.46 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 37.26/37.46 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 37.26/37.46 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 37.26/37.46 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 37.26/37.46 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->((rel_d W) V0))
% 37.26/37.46 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 37.26/37.46 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 37.26/37.46 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 37.26/37.46 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 37.26/37.46 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 41.35/41.54 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 41.35/41.54 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 41.35/41.54 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 41.35/41.54 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 41.35/41.54 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 41.35/41.54 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 41.35/41.54 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 41.35/41.54 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->((rel_d W) V))
% 41.35/41.54 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 41.35/41.54 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 41.35/41.54 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 41.35/41.54 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 41.35/41.54 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 41.35/41.54 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 41.35/41.54 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 41.35/41.54 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 41.35/41.54 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 41.35/41.54 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 41.35/41.54 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 41.35/41.54 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 41.35/41.54 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V0))
% 41.35/41.54 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 41.35/41.54 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 41.35/41.54 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 41.35/41.54 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 41.35/41.54 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 41.35/41.54 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 47.25/47.48 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 47.25/47.48 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 47.25/47.48 Found x30:False
% 47.25/47.48 Found (fun (x7:(((mand p) (mnot p)) V2))=> x30) as proof of False
% 47.25/47.48 Found (fun (x7:(((mand p) (mnot p)) V2))=> x30) as proof of ((((mand p) (mnot p)) V2)->False)
% 47.25/47.48 Found x10:False
% 47.25/47.48 Found (fun (x7:(((mand p) (mnot p)) V2))=> x10) as proof of False
% 47.25/47.48 Found (fun (x7:(((mand p) (mnot p)) V2))=> x10) as proof of ((((mand p) (mnot p)) V2)->False)
% 47.25/47.48 Found x30:False
% 47.25/47.48 Found (fun (x7:(((rel_d W) V2)->False))=> x30) as proof of False
% 47.25/47.48 Found (fun (x7:(((rel_d W) V2)->False))=> x30) as proof of ((((rel_d W) V2)->False)->False)
% 47.25/47.48 Found x10:False
% 47.25/47.48 Found (fun (x7:(((rel_d W) V2)->False))=> x10) as proof of False
% 47.25/47.48 Found (fun (x7:(((rel_d W) V2)->False))=> x10) as proof of ((((rel_d W) V2)->False)->False)
% 47.25/47.48 Found x50:False
% 47.25/47.48 Found (fun (x7:(((rel_d W) V2)->False))=> x50) as proof of False
% 47.25/47.48 Found (fun (x7:(((rel_d W) V2)->False))=> x50) as proof of ((((rel_d W) V2)->False)->False)
% 47.25/47.48 Found x50:False
% 47.25/47.48 Found (fun (x7:(((mand p) (mnot p)) V2))=> x50) as proof of False
% 47.25/47.48 Found (fun (x7:(((mand p) (mnot p)) V2))=> x50) as proof of ((((mand p) (mnot p)) V2)->False)
% 47.25/47.48 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 47.25/47.48 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 47.25/47.48 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 47.25/47.48 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 47.25/47.48 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V))
% 47.25/47.48 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 47.25/47.48 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 47.25/47.48 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 47.25/47.48 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 47.25/47.48 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 47.25/47.48 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 47.25/47.48 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 47.25/47.48 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 47.25/47.48 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 47.25/47.48 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 47.25/47.48 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 47.25/47.48 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 47.25/47.48 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V))
% 55.06/55.28 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 55.06/55.28 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 55.06/55.28 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 55.06/55.28 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 55.06/55.28 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 55.06/55.28 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 55.06/55.28 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 55.06/55.28 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 55.06/55.28 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 55.06/55.28 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 55.06/55.28 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 55.06/55.28 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 55.06/55.28 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->((rel_d W) V0))
% 55.06/55.28 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 55.06/55.28 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 55.06/55.28 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 55.06/55.28 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 55.06/55.28 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 55.06/55.28 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 55.06/55.28 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 55.06/55.28 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 55.06/55.28 Found x30:False
% 55.06/55.28 Found (fun (x5:(((mand p) (mnot p)) V1))=> x30) as proof of False
% 55.06/55.28 Found (fun (x5:(((mand p) (mnot p)) V1))=> x30) as proof of ((((mand p) (mnot p)) V1)->False)
% 55.06/55.28 Found x30:False
% 55.06/55.28 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 55.06/55.28 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 55.06/55.28 Found x10:False
% 55.06/55.28 Found (fun (x5:(((mand p) (mnot p)) V1))=> x10) as proof of False
% 55.06/55.28 Found (fun (x5:(((mand p) (mnot p)) V1))=> x10) as proof of ((((mand p) (mnot p)) V1)->False)
% 55.06/55.28 Found x10:False
% 55.06/55.28 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 55.06/55.28 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 86.71/86.95 Found x50:False
% 86.71/86.95 Found (fun (x7:(((rel_d W) V2)->False))=> x50) as proof of False
% 86.71/86.95 Found (fun (x7:(((rel_d W) V2)->False))=> x50) as proof of ((((rel_d W) V2)->False)->False)
% 86.71/86.95 Found x10:False
% 86.71/86.95 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> x10) as proof of False
% 86.71/86.95 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> x10) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->False)
% 86.71/86.95 Found x10:False
% 86.71/86.95 Found (fun (x7:(((rel_d W) V2)->False))=> x10) as proof of False
% 86.71/86.95 Found (fun (x7:(((rel_d W) V2)->False))=> x10) as proof of ((((rel_d W) V2)->False)->False)
% 86.71/86.95 Found x30:False
% 86.71/86.95 Found (fun (x7:(((rel_d W) V2)->False))=> x30) as proof of False
% 86.71/86.95 Found (fun (x7:(((rel_d W) V2)->False))=> x30) as proof of ((((rel_d W) V2)->False)->False)
% 86.71/86.95 Found x50:False
% 86.71/86.95 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> x50) as proof of False
% 86.71/86.95 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> x50) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->False)
% 86.71/86.95 Found x30:False
% 86.71/86.95 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> x30) as proof of False
% 86.71/86.95 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> x30) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->False)
% 86.71/86.95 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 86.71/86.95 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 86.71/86.95 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 86.71/86.95 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 86.71/86.95 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->((rel_d W) V))
% 86.71/86.95 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 86.71/86.95 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 86.71/86.95 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 86.71/86.95 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 86.71/86.95 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 86.71/86.95 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 86.71/86.95 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 86.71/86.95 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 86.71/86.95 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 86.71/86.95 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 86.71/86.95 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 86.71/86.95 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 86.71/86.95 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V0))
% 86.71/86.95 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 86.71/86.95 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 86.71/86.95 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 86.71/86.95 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 89.53/89.78 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 89.53/89.78 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 89.53/89.78 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 89.53/89.78 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 89.53/89.78 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 89.53/89.78 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 89.53/89.78 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 89.53/89.78 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 89.53/89.78 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V))
% 89.53/89.78 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 89.53/89.78 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 89.53/89.78 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 89.53/89.78 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 89.53/89.78 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 89.53/89.78 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 89.53/89.78 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 89.53/89.78 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 89.53/89.78 Found classic0:=(classic ((mnot p) V2)):((or ((mnot p) V2)) (not ((mnot p) V2)))
% 89.53/89.78 Found (classic ((mnot p) V2)) as proof of ((or ((mnot p) V2)) ((mnot (mnot p)) V2))
% 89.53/89.78 Found (classic ((mnot p) V2)) as proof of ((or ((mnot p) V2)) ((mnot (mnot p)) V2))
% 89.53/89.78 Found (classic ((mnot p) V2)) as proof of (((mor (mnot p)) (mnot (mnot p))) V2)
% 89.53/89.78 Found (x7 (classic ((mnot p) V2))) as proof of False
% 89.53/89.78 Found (fun (x7:(((mand p) (mnot p)) V2))=> (x7 (classic ((mnot p) V2)))) as proof of False
% 89.53/89.78 Found (fun (x7:(((mand p) (mnot p)) V2))=> (x7 (classic ((mnot p) V2)))) as proof of ((((mand p) (mnot p)) V2)->False)
% 89.53/89.78 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 89.53/89.78 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 89.53/89.78 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 89.53/89.78 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 89.53/89.78 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V0))
% 89.53/89.78 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 89.53/89.78 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 99.07/99.30 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 99.07/99.30 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 99.07/99.30 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 99.07/99.30 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 99.07/99.30 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 99.07/99.30 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 99.07/99.30 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 99.07/99.30 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.07/99.30 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.07/99.30 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 99.07/99.30 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V))
% 99.07/99.30 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 99.07/99.30 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.07/99.30 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.07/99.30 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 99.07/99.30 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 99.07/99.30 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 99.07/99.30 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 99.07/99.30 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 99.07/99.30 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 99.07/99.30 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 99.07/99.30 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 99.07/99.30 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 99.07/99.30 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V0))
% 99.07/99.30 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 99.07/99.30 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 99.07/99.30 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 99.07/99.30 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 99.07/99.30 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 99.07/99.32 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 99.07/99.32 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 99.07/99.32 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 99.07/99.32 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 99.07/99.32 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.07/99.32 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.07/99.32 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 99.07/99.32 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V))
% 99.07/99.32 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 99.07/99.32 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.07/99.32 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.07/99.32 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 99.07/99.32 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 99.07/99.32 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 99.07/99.32 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 99.07/99.32 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 99.07/99.32 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 99.07/99.32 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.07/99.32 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.07/99.32 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 99.07/99.32 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V))
% 99.07/99.32 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 99.07/99.32 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.07/99.32 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.07/99.32 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 99.07/99.32 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 99.07/99.32 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 99.07/99.32 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 99.07/99.34 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 99.07/99.34 Found False_rect00:=(False_rect0 ((rel_d W) V1)):((rel_d W) V1)
% 99.07/99.34 Found (False_rect0 ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 99.07/99.34 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 99.07/99.34 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1))) as proof of ((rel_d W) V1)
% 99.07/99.34 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V1))
% 99.07/99.34 Found False_rect00:=(False_rect0 ((rel_d W) V1)):((rel_d W) V1)
% 99.07/99.34 Found (False_rect0 ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 99.07/99.34 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 99.07/99.34 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1))) as proof of ((rel_d W) V1)
% 99.07/99.34 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V1))
% 99.07/99.34 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)))) as proof of ((rel_d W) V1)
% 99.07/99.34 Found (((or_ind3 ((rel_d W) V1)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)))) as proof of ((rel_d W) V1)
% 99.07/99.34 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V1)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)))) as proof of ((rel_d W) V1)
% 99.07/99.34 Found False_rect00:=(False_rect0 ((rel_d W) V1)):((rel_d W) V1)
% 99.07/99.34 Found (False_rect0 ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 99.07/99.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 99.07/99.34 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1))) as proof of ((rel_d W) V1)
% 99.07/99.34 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V1))
% 99.07/99.34 Found False_rect00:=(False_rect0 ((rel_d W) V1)):((rel_d W) V1)
% 99.07/99.34 Found (False_rect0 ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 99.07/99.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 99.07/99.34 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1))) as proof of ((rel_d W) V1)
% 99.07/99.34 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V1))
% 99.07/99.34 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)))) as proof of ((rel_d W) V1)
% 99.07/99.34 Found (((or_ind3 ((rel_d W) V1)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)))) as proof of ((rel_d W) V1)
% 99.07/99.34 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V1)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)))) as proof of ((rel_d W) V1)
% 106.21/106.49 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 106.21/106.49 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 106.21/106.49 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 106.21/106.49 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 106.21/106.49 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V0))
% 106.21/106.49 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 106.21/106.49 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 106.21/106.49 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 106.21/106.49 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 106.21/106.49 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 106.21/106.49 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 106.21/106.49 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 106.21/106.49 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 106.21/106.49 Found classic0:=(classic ((mnot p) V1)):((or ((mnot p) V1)) (not ((mnot p) V1)))
% 106.21/106.49 Found (classic ((mnot p) V1)) as proof of ((or ((mnot p) V1)) ((mnot (mnot p)) V1))
% 106.21/106.49 Found (classic ((mnot p) V1)) as proof of ((or ((mnot p) V1)) ((mnot (mnot p)) V1))
% 106.21/106.49 Found (classic ((mnot p) V1)) as proof of (((mor (mnot p)) (mnot (mnot p))) V1)
% 106.21/106.49 Found (x5 (classic ((mnot p) V1))) as proof of False
% 106.21/106.49 Found (fun (x5:(((mand p) (mnot p)) V1))=> (x5 (classic ((mnot p) V1)))) as proof of False
% 106.21/106.49 Found (fun (x5:(((mand p) (mnot p)) V1))=> (x5 (classic ((mnot p) V1)))) as proof of ((((mand p) (mnot p)) V1)->False)
% 106.21/106.49 Found classic0:=(classic ((mnot p) V2)):((or ((mnot p) V2)) (not ((mnot p) V2)))
% 106.21/106.49 Found (classic ((mnot p) V2)) as proof of ((or ((mnot p) V2)) ((mnot (mnot p)) V2))
% 106.21/106.49 Found (classic ((mnot p) V2)) as proof of ((or ((mnot p) V2)) ((mnot (mnot p)) V2))
% 106.21/106.49 Found (classic ((mnot p) V2)) as proof of (((mor (mnot p)) (mnot (mnot p))) V2)
% 106.21/106.49 Found (x7 (classic ((mnot p) V2))) as proof of False
% 106.21/106.49 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> (x7 (classic ((mnot p) V2)))) as proof of False
% 106.21/106.49 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> (x7 (classic ((mnot p) V2)))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->False)
% 106.21/106.49 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 106.21/106.49 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 106.21/106.49 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 106.21/106.49 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 106.21/106.49 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->((rel_d W) V))
% 106.21/106.49 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 106.21/106.49 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 106.21/106.49 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 106.21/106.49 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 106.21/106.49 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 107.80/108.06 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 107.80/108.06 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 107.80/108.06 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 107.80/108.06 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 107.80/108.06 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 107.80/108.06 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 107.80/108.06 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 107.80/108.06 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->((rel_d W) V0))
% 107.80/108.06 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 107.80/108.06 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 107.80/108.06 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 107.80/108.06 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 107.80/108.06 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 107.80/108.06 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 107.80/108.06 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 107.80/108.06 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 107.80/108.06 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 107.80/108.06 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 107.80/108.06 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 107.80/108.06 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 107.80/108.06 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V))
% 107.80/108.06 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 107.80/108.06 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 107.80/108.06 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 107.80/108.06 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 107.80/108.06 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 121.56/121.79 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 121.56/121.79 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 121.56/121.79 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 121.56/121.79 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 121.56/121.79 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 121.56/121.79 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 121.56/121.79 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 121.56/121.79 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V0))
% 121.56/121.79 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 121.56/121.79 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 121.56/121.79 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 121.56/121.79 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 121.56/121.79 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 121.56/121.79 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 121.56/121.79 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 121.56/121.79 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 121.56/121.79 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 121.56/121.79 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 121.56/121.79 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 121.56/121.79 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 121.56/121.79 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V))
% 121.56/121.79 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 121.56/121.79 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 121.56/121.79 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 121.56/121.79 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 121.56/121.79 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 121.56/121.79 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 121.56/121.79 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 121.60/121.82 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 121.60/121.82 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 121.60/121.82 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 121.60/121.82 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 121.60/121.82 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 121.60/121.82 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V))
% 121.60/121.82 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 121.60/121.82 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 121.60/121.82 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 121.60/121.82 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 121.60/121.82 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 121.60/121.82 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 121.60/121.82 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 121.60/121.82 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 121.60/121.82 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 121.60/121.82 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 121.60/121.82 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 121.60/121.82 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 121.60/121.82 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V0))
% 121.60/121.82 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 121.60/121.82 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 121.60/121.82 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 121.60/121.82 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 121.60/121.82 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 121.60/121.82 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 121.60/121.82 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 121.61/121.85 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 121.61/121.85 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 121.61/121.85 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 121.61/121.85 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 121.61/121.85 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 121.61/121.85 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V0))
% 121.61/121.85 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 121.61/121.85 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 121.61/121.85 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 121.61/121.85 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 121.61/121.85 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 121.61/121.85 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 121.61/121.85 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 121.61/121.85 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 121.61/121.85 Found False_rect00:=(False_rect0 ((rel_d W) V1)):((rel_d W) V1)
% 121.61/121.85 Found (False_rect0 ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 121.61/121.85 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 121.61/121.85 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1))) as proof of ((rel_d W) V1)
% 121.61/121.85 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V1))
% 121.61/121.85 Found False_rect00:=(False_rect0 ((rel_d W) V1)):((rel_d W) V1)
% 121.61/121.85 Found (False_rect0 ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 121.61/121.85 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 121.61/121.85 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1))) as proof of ((rel_d W) V1)
% 121.61/121.85 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V1))
% 121.61/121.85 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)))) as proof of ((rel_d W) V1)
% 121.61/121.85 Found (((or_ind3 ((rel_d W) V1)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)))) as proof of ((rel_d W) V1)
% 150.86/151.12 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V1)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V1)))) as proof of ((rel_d W) V1)
% 150.86/151.12 Found False_rect00:=(False_rect0 ((rel_d W) V1)):((rel_d W) V1)
% 150.86/151.12 Found (False_rect0 ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 150.86/151.12 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 150.86/151.12 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1))) as proof of ((rel_d W) V1)
% 150.86/151.12 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V1))
% 150.86/151.12 Found False_rect00:=(False_rect0 ((rel_d W) V1)):((rel_d W) V1)
% 150.86/151.12 Found (False_rect0 ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 150.86/151.12 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)) as proof of ((rel_d W) V1)
% 150.86/151.12 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1))) as proof of ((rel_d W) V1)
% 150.86/151.12 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V1))
% 150.86/151.12 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)))) as proof of ((rel_d W) V1)
% 150.86/151.12 Found (((or_ind3 ((rel_d W) V1)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)))) as proof of ((rel_d W) V1)
% 150.86/151.12 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V1)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V1)))) as proof of ((rel_d W) V1)
% 150.86/151.12 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 150.86/151.12 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 150.86/151.12 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 150.86/151.12 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 150.86/151.12 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V0))
% 150.86/151.12 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 150.86/151.12 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 150.86/151.12 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 150.86/151.12 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 150.86/151.12 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 150.86/151.12 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 150.86/151.12 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 150.86/151.12 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 161.56/161.83 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 161.56/161.83 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 161.56/161.83 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 161.56/161.83 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 161.56/161.83 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V0))
% 161.56/161.83 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 161.56/161.83 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 161.56/161.83 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 161.56/161.83 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 161.56/161.83 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 161.56/161.83 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 161.56/161.83 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 161.56/161.83 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 161.56/161.83 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 161.56/161.83 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 161.56/161.83 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 161.56/161.83 Found (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 161.56/161.83 Found (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V0))
% 161.56/161.83 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 161.56/161.83 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 161.56/161.83 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 161.56/161.83 Found (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 161.56/161.83 Found (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 161.56/161.83 Found ((or_ind30 (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 161.56/161.83 Found (((or_ind3 ((rel_d W) V0)) (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 161.56/161.83 Found ((((fun (P:Prop) (x6:((((rel_d W) V2)->False)->P)) (x7:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x6) x7) x5)) ((rel_d W) V0)) (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 161.56/161.83 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 162.63/162.90 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.63/162.90 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.63/162.90 Found (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 162.63/162.90 Found (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V))
% 162.63/162.90 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 162.63/162.90 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.63/162.90 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.63/162.90 Found (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 162.63/162.90 Found (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 162.63/162.90 Found ((or_ind30 (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 162.63/162.90 Found (((or_ind3 ((rel_d W) V)) (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 162.63/162.90 Found ((((fun (P:Prop) (x6:((((rel_d W) V2)->False)->P)) (x7:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x6) x7) x5)) ((rel_d W) V)) (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 162.63/162.90 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 162.63/162.90 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 162.63/162.90 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 162.63/162.90 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 162.63/162.90 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V0))
% 162.63/162.90 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 162.63/162.90 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 162.63/162.90 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 162.63/162.90 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 162.63/162.90 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 162.63/162.90 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 162.63/162.90 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 162.63/162.90 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 162.63/162.90 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 162.63/162.90 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.63/162.90 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.63/162.90 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 162.63/162.90 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V))
% 162.92/163.18 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 162.92/163.18 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.92/163.18 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.92/163.18 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 162.92/163.18 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 162.92/163.18 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 162.92/163.18 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 162.92/163.18 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 162.92/163.18 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 162.92/163.18 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 162.92/163.18 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 162.92/163.18 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 162.92/163.18 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V0))
% 162.92/163.18 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 162.92/163.18 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 162.92/163.18 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 162.92/163.18 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 162.92/163.18 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 162.92/163.18 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 162.92/163.18 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 162.92/163.18 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 162.92/163.18 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 162.92/163.18 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.92/163.18 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.92/163.18 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 162.92/163.18 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V))
% 162.92/163.18 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 162.92/163.18 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.92/163.18 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.92/163.18 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 162.92/163.18 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 162.95/163.21 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 162.95/163.21 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 162.95/163.21 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 162.95/163.21 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 162.95/163.21 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.95/163.21 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.95/163.21 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 162.95/163.21 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V))
% 162.95/163.21 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 162.95/163.21 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.95/163.21 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 162.95/163.21 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 162.95/163.21 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 162.95/163.21 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 162.95/163.21 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 162.95/163.21 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 162.95/163.21 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 162.95/163.21 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 162.95/163.21 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 162.95/163.21 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 162.95/163.21 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V0))
% 162.95/163.21 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 162.95/163.21 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 162.95/163.21 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 162.95/163.21 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 162.95/163.21 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 162.95/163.21 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 162.95/163.21 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 168.93/169.24 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 168.93/169.24 Found x50:False
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> x50) as proof of False
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> x50) as proof of ((((mand p) (mnot p)) V2)->False)
% 168.93/169.24 Found x10:False
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> x10) as proof of False
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> x10) as proof of ((((mand p) (mnot p)) V2)->False)
% 168.93/169.24 Found x30:False
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> x30) as proof of False
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> x30) as proof of ((((mand p) (mnot p)) V2)->False)
% 168.93/169.24 Found x10:False
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> x10) as proof of False
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> x10) as proof of ((((rel_d W) V2)->False)->False)
% 168.93/169.24 Found x50:False
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> x50) as proof of False
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> x50) as proof of ((((rel_d W) V2)->False)->False)
% 168.93/169.24 Found x30:False
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> x30) as proof of False
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> x30) as proof of ((((rel_d W) V2)->False)->False)
% 168.93/169.24 Found x50:False
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> x50) as proof of False
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> x50) as proof of ((((mand p) (mnot p)) V2)->False)
% 168.93/169.24 Found x50:False
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> x50) as proof of False
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> x50) as proof of ((((rel_d W) V2)->False)->False)
% 168.93/169.24 Found x10:False
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> x10) as proof of False
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> x10) as proof of ((((rel_d W) V2)->False)->False)
% 168.93/169.24 Found x10:False
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> x10) as proof of False
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> x10) as proof of ((((mand p) (mnot p)) V2)->False)
% 168.93/169.24 Found x30:False
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> x30) as proof of False
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> x30) as proof of ((((mand p) (mnot p)) V2)->False)
% 168.93/169.24 Found x30:False
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> x30) as proof of False
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> x30) as proof of ((((rel_d W) V2)->False)->False)
% 168.93/169.24 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 168.93/169.24 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 168.93/169.24 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 168.93/169.24 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V))
% 168.93/169.24 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 168.93/169.24 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 168.93/169.24 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 168.93/169.24 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 168.93/169.24 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 168.93/169.24 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 169.08/169.37 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 169.08/169.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 169.08/169.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.08/169.37 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.08/169.37 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 169.08/169.37 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V0))
% 169.08/169.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 169.08/169.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.08/169.37 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.08/169.37 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 169.08/169.37 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 169.08/169.37 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 169.08/169.37 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 169.08/169.37 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 169.08/169.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 169.08/169.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.08/169.37 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.08/169.37 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 169.08/169.37 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V0))
% 169.08/169.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 169.08/169.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.08/169.37 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.08/169.37 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 169.08/169.37 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 169.08/169.37 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 169.08/169.37 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 169.08/169.37 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 178.65/178.90 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 178.65/178.90 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 178.65/178.90 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 178.65/178.90 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 178.65/178.90 Found (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V))
% 178.65/178.90 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 178.65/178.90 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 178.65/178.90 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 178.65/178.90 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 178.65/178.90 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 178.65/178.90 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 178.65/178.90 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 178.65/178.90 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 178.65/178.90 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 178.65/178.90 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 178.65/178.90 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 178.65/178.90 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 178.65/178.90 Found (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V1)->((rel_d W) V))
% 178.65/178.90 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 178.65/178.90 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 178.65/178.90 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 178.65/178.90 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 178.65/178.90 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 178.65/178.90 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 178.65/178.90 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 178.65/178.90 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand p) (mnot p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand p) (mnot p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand p) (mnot p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 178.65/178.90 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 178.65/178.90 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 178.65/178.90 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 178.65/178.90 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 194.17/194.49 Found (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->((rel_d W) V0))
% 194.17/194.49 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 194.17/194.49 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 194.17/194.49 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 194.17/194.49 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 194.17/194.49 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 194.17/194.49 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 194.17/194.49 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 194.17/194.49 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mnot ((mor (mnot p)) (mnot (mnot p)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 194.17/194.49 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 194.17/194.49 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 194.17/194.49 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 194.17/194.49 Found (fun (x6:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 194.17/194.49 Found (fun (x6:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V))
% 194.17/194.49 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 194.17/194.49 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 194.17/194.49 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 194.17/194.49 Found (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 194.17/194.49 Found (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 194.17/194.49 Found ((or_ind30 (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x6:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 194.17/194.49 Found (((or_ind3 ((rel_d W) V)) (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x6:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 194.17/194.49 Found ((((fun (P:Prop) (x6:((((rel_d W) V2)->False)->P)) (x7:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x6) x7) x5)) ((rel_d W) V)) (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x6:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 194.17/194.49 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 194.17/194.49 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 194.17/194.49 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 194.17/194.49 Found (fun (x6:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 194.17/194.49 Found (fun (x6:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V0))
% 194.76/195.05 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 194.76/195.05 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 194.76/195.05 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 194.76/195.05 Found (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 194.76/195.05 Found (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 194.76/195.05 Found ((or_ind30 (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x6:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 194.76/195.05 Found (((or_ind3 ((rel_d W) V0)) (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x6:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 194.76/195.05 Found ((((fun (P:Prop) (x6:((((rel_d W) V2)->False)->P)) (x7:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x6) x7) x5)) ((rel_d W) V0)) (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x6:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 194.76/195.05 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 194.76/195.05 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 194.76/195.05 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 194.76/195.05 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 194.76/195.05 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V))
% 194.76/195.05 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 194.76/195.05 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 194.76/195.05 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 194.76/195.05 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 194.76/195.05 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 194.76/195.05 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 194.76/195.05 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 194.76/195.05 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 194.76/195.05 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 194.76/195.05 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 194.76/195.05 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 194.76/195.05 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 194.76/195.05 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V0))
% 195.22/195.49 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 195.22/195.49 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 195.22/195.49 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 195.22/195.49 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 195.22/195.49 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 195.22/195.49 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 195.22/195.49 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 195.22/195.49 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 195.22/195.49 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 195.22/195.49 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 195.22/195.49 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 195.22/195.49 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 195.22/195.49 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V0))
% 195.22/195.49 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 195.22/195.49 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 195.22/195.49 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 195.22/195.49 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 195.22/195.49 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 195.22/195.49 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 195.22/195.49 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 195.22/195.49 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 195.22/195.49 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 195.22/195.49 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 195.22/195.49 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 195.22/195.49 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 195.22/195.49 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V0))
% 195.22/195.51 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 195.22/195.51 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 195.22/195.51 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 195.22/195.51 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 195.22/195.51 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 195.22/195.51 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 195.22/195.51 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 195.22/195.51 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 195.22/195.51 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 195.22/195.51 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 195.22/195.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 195.22/195.51 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 195.22/195.51 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V))
% 195.22/195.51 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 195.22/195.51 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 195.22/195.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 195.22/195.51 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 195.22/195.51 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 195.22/195.51 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 195.22/195.51 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 195.22/195.51 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 195.22/195.51 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 195.22/195.51 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 195.22/195.51 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 195.22/195.51 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 195.22/195.51 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V))
% 195.22/195.51 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 212.03/212.36 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 212.03/212.36 Found ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 212.03/212.36 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 212.03/212.36 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 212.03/212.36 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 212.03/212.36 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 212.03/212.36 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x50)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 212.03/212.36 Found x30:False
% 212.03/212.36 Found (fun (x7:(((rel_d W) V2)->False))=> x30) as proof of False
% 212.03/212.36 Found (fun (x7:(((rel_d W) V2)->False))=> x30) as proof of ((((rel_d W) V2)->False)->False)
% 212.03/212.36 Found x50:False
% 212.03/212.36 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> x50) as proof of False
% 212.03/212.36 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> x50) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->False)
% 212.03/212.36 Found x30:False
% 212.03/212.36 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> x30) as proof of False
% 212.03/212.36 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> x30) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->False)
% 212.03/212.36 Found x10:False
% 212.03/212.36 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> x10) as proof of False
% 212.03/212.36 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> x10) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->False)
% 212.03/212.36 Found x10:False
% 212.03/212.36 Found (fun (x7:(((rel_d W) V2)->False))=> x10) as proof of False
% 212.03/212.36 Found (fun (x7:(((rel_d W) V2)->False))=> x10) as proof of ((((rel_d W) V2)->False)->False)
% 212.03/212.36 Found x50:False
% 212.03/212.36 Found (fun (x7:(((rel_d W) V2)->False))=> x50) as proof of False
% 212.03/212.36 Found (fun (x7:(((rel_d W) V2)->False))=> x50) as proof of ((((rel_d W) V2)->False)->False)
% 212.03/212.36 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 212.03/212.36 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 212.03/212.36 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 212.03/212.36 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 212.03/212.36 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V))
% 212.03/212.36 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 212.03/212.36 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 212.03/212.36 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 212.03/212.36 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 212.03/212.36 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 212.03/212.36 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 212.03/212.36 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 212.33/212.67 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 212.33/212.67 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 212.33/212.67 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 212.33/212.67 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 212.33/212.67 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 212.33/212.67 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V0))
% 212.33/212.67 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 212.33/212.67 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 212.33/212.67 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 212.33/212.67 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 212.33/212.67 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 212.33/212.67 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 212.33/212.67 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 212.33/212.67 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 212.33/212.67 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 212.33/212.67 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 212.33/212.67 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 212.33/212.67 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 212.33/212.67 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V0))
% 212.33/212.67 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 212.33/212.67 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 212.33/212.67 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 212.33/212.67 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 212.33/212.67 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V0))
% 212.33/212.67 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 212.33/212.67 Found (((or_ind3 ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 264.40/264.69 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V0)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 264.40/264.69 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 264.40/264.69 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 264.40/264.69 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 264.40/264.69 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 264.40/264.69 Found (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->((rel_d W) V))
% 264.40/264.69 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 264.40/264.69 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 264.40/264.69 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 264.40/264.69 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 264.40/264.69 Found (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 264.40/264.69 Found ((or_ind30 (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 264.40/264.69 Found (((or_ind3 ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 264.40/264.69 Found ((((fun (P:Prop) (x7:((((rel_d W) V2)->False)->P)) (x8:(((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot ((mor (mnot p)) (mnot (mnot p)))) V2)) P) x7) x8) x6)) ((rel_d W) V)) (fun (x7:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x7:((mnot ((mor (mnot p)) (mnot (mnot p)))) V2))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 264.40/264.69 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 264.40/264.69 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 264.40/264.69 Found ((fun (P:Type)=> ((False_rect P) x40)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 264.40/264.69 Found (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x40)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 264.40/264.69 Found (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x40)) ((rel_d W) V))) as proof of ((((mand p) (mnot p)) V2)->((rel_d W) V))
% 264.40/264.69 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 264.40/264.69 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 264.40/264.69 Found ((fun (P:Type)=> ((False_rect P) x40)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 264.40/264.69 Found (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x40)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 264.40/264.69 Found (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x40)) ((rel_d W) V))) as proof of ((((rel_d W) V2)->False)->((rel_d W) V))
% 264.40/264.69 Found ((or_ind30 (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x40)) ((rel_d W) V)))) (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x40)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 264.40/264.69 Found (((or_ind3 ((rel_d W) V)) (fun (x6:(((rel_d W) V2)->False))=> ((fun (P:Type)=> ((False_rect P) x40)) ((rel_d W) V)))) (fun (x6:(((mand p) (mnot p)) V2))=> ((fun (P:Type)=> ((False_rect P) x40)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 264.40/264.69 Found ((((fun (P:Prop) (x6:((((rel_d W) V2)->False)->P)) (x7:((((mand p) (mnot p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) (((mand p) (mnot p)) V2)) P) x6) x7) x5
%------------------------------------------------------------------------------