TSTP Solution File: SYO416^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO416^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:22 EDT 2022
% Result : Timeout 291.79s 292.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SYO416^1 : TPTP v7.5.0. Released v4.0.0.
% 0.04/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n004.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % RAMPerCPU : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Sat Mar 12 13:20:10 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.40/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.40/0.61 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xa4ab00>, <kernel.Type object at 0xa4a7e8>) of role type named mu_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mu:Type
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xa4ab48>, <kernel.DependentProduct object at 0xa4ab00>) of role type named meq_ind_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.40/0.61 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
% 0.40/0.61 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.40/0.61 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xa4ab00>, <kernel.DependentProduct object at 0xa4a758>) of role type named meq_prop_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.61 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
% 0.40/0.61 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))))
% 0.40/0.61 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xa4a5a8>, <kernel.DependentProduct object at 0xa4ab48>) of role type named mnot_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.40/0.61 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.40/0.61 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.40/0.61 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xa4ab48>, <kernel.DependentProduct object at 0xa4abd8>) of role type named mor_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.61 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
% 0.40/0.61 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))))
% 0.40/0.61 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xa4abd8>, <kernel.DependentProduct object at 0xa4ac20>) of role type named mand_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.61 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
% 0.40/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.40/0.61 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xa4ac20>, <kernel.DependentProduct object at 0xa4a320>) of role type named mimplies_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.61 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
% 0.40/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.40/0.61 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xa4a320>, <kernel.DependentProduct object at 0xa4aa28>) of role type named mimplied_type
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.62 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
% 0.40/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.40/0.62 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xa4aa28>, <kernel.DependentProduct object at 0xa4ab48>) of role type named mequiv_type
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.62 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
% 0.40/0.62 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))))
% 0.40/0.62 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xa4ab48>, <kernel.DependentProduct object at 0xa4a368>) of role type named mxor_type
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.62 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
% 0.40/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.40/0.62 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xa4acf8>, <kernel.DependentProduct object at 0xa4a320>) of role type named mforall_ind_type
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.40/0.62 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
% 0.40/0.62 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.40/0.62 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xa4a320>, <kernel.DependentProduct object at 0xa4a8c0>) of role type named mforall_prop_type
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.40/0.62 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
% 0.40/0.62 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))))
% 0.40/0.62 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xa4a248>, <kernel.DependentProduct object at 0xa4a0e0>) of role type named mexists_ind_type
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.40/0.62 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
% 0.40/0.62 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)))))))
% 0.40/0.63 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xa4acf8>, <kernel.DependentProduct object at 0xa4da28>) of role type named mexists_prop_type
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.40/0.63 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.40/0.63 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.40/0.63 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xa4ac20>, <kernel.DependentProduct object at 0xa4da28>) of role type named mtrue_type
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring mtrue:(fofType->Prop)
% 0.40/0.63 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.40/0.63 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.40/0.63 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xa4ac20>, <kernel.DependentProduct object at 0xa4da28>) of role type named mfalse_type
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring mfalse:(fofType->Prop)
% 0.40/0.63 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.40/0.63 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.40/0.63 Defined: mfalse:=(mnot mtrue)
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xa4a248>, <kernel.DependentProduct object at 0xa4d3f8>) of role type named mbox_type
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.63 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
% 0.40/0.63 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)))))
% 0.40/0.63 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xa4d3f8>, <kernel.DependentProduct object at 0xa4db00>) of role type named mdia_type
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.63 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
% 0.40/0.63 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)))))
% 0.40/0.63 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xa4d560>, <kernel.DependentProduct object at 0xa4d950>) of role type named mreflexive_type
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.40/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.40/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.40/0.63 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xa4d950>, <kernel.DependentProduct object at 0xa4d6c8>) of role type named msymmetric_type
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 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
% 0.47/0.64 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)))))
% 0.47/0.64 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0xa4d6c8>, <kernel.DependentProduct object at 0xa4d4d0>) of role type named mserial_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 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
% 0.47/0.64 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))))))
% 0.47/0.64 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0xa4d4d0>, <kernel.DependentProduct object at 0xa4df80>) of role type named mtransitive_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 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
% 0.47/0.64 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)))))
% 0.47/0.64 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0xa4d950>, <kernel.DependentProduct object at 0xa4df80>) of role type named meuclidean_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 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
% 0.47/0.64 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)))))
% 0.47/0.64 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0xa4d320>, <kernel.DependentProduct object at 0xa4df80>) of role type named mpartially_functional_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 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
% 0.47/0.64 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)))))
% 0.47/0.64 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))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0xa4d4d0>, <kernel.DependentProduct object at 0xa493b0>) of role type named mfunctional_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 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
% 0.47/0.65 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)))))))))
% 0.47/0.65 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))))))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xa4d950>, <kernel.DependentProduct object at 0xa49b90>) of role type named mweakly_dense_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 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
% 0.47/0.65 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)))))))))
% 0.47/0.65 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))))))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xa4d950>, <kernel.DependentProduct object at 0xa49908>) of role type named mweakly_connected_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 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
% 0.47/0.65 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))))))
% 0.47/0.65 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)))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xa4d320>, <kernel.DependentProduct object at 0xa49170>) of role type named mweakly_directed_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 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
% 0.47/0.65 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))))))))
% 0.47/0.65 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)))))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xa493b0>, <kernel.DependentProduct object at 0xa499e0>) of role type named mvalid_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mvalid:((fofType->Prop)->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.47/0.65 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xa49680>, <kernel.DependentProduct object at 0x2ae6a3a56200>) of role type named minvalid_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring minvalid:((fofType->Prop)->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.47/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.47/0.66 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xa49908>, <kernel.DependentProduct object at 0x2ae6a3a565f0>) of role type named msatisfiable_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.47/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.47/0.66 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xa49950>, <kernel.DependentProduct object at 0x2ae6a3a565f0>) of role type named mcountersatisfiable_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.47/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.47/0.66 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.47/0.66 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^2.ax, trying next directory
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xa4aa70>, <kernel.DependentProduct object at 0xa4af38>) of role type named rel_d_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring rel_d:(fofType->(fofType->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xa4a998>, <kernel.DependentProduct object at 0xa4a710>) of role type named mbox_d_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mbox_d:((fofType->Prop)->(fofType->Prop))
% 0.47/0.66 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
% 0.47/0.66 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)))))
% 0.47/0.66 Defined: mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xa4a710>, <kernel.DependentProduct object at 0xa4a518>) of role type named mdia_d_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mdia_d:((fofType->Prop)->(fofType->Prop))
% 0.47/0.66 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))) of role definition named mdia_d
% 0.47/0.66 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))))
% 0.47/0.66 Defined: mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))
% 0.47/0.66 FOF formula (mserial rel_d) of role axiom named a1
% 0.47/0.66 A new axiom: (mserial rel_d)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xa27b48>, <kernel.DependentProduct object at 0xa44cf8>) of role type named p_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring p:(fofType->Prop)
% 0.47/0.66 FOF formula (mvalid ((mimplies (mbox_d (mbox_d p))) (mbox_d (mdia_d p)))) of role conjecture named prove
% 0.47/0.66 Conjecture to prove = (mvalid ((mimplies (mbox_d (mbox_d p))) (mbox_d (mdia_d p)))):Prop
% 0.47/0.66 Parameter mu_DUMMY:mu.
% 0.47/0.66 Parameter fofType_DUMMY:fofType.
% 0.47/0.66 We need to prove ['(mvalid ((mimplies (mbox_d (mbox_d p))) (mbox_d (mdia_d p))))']
% 0.47/0.66 Parameter mu:Type.
% 0.47/0.66 Parameter fofType:Type.
% 0.47/0.66 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.47/0.66 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.66 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.66 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.66 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.66 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)).
% 0.47/0.66 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.47/0.66 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.47/0.66 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))).
% 0.47/0.66 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.66 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.66 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.66 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.66 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).
% 0.47/0.66 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).
% 0.47/0.66 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).
% 0.47/0.66 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).
% 0.47/0.66 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).
% 0.47/0.66 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).
% 0.47/0.66 Definition mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.66 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 19.65/19.83 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 19.65/19.83 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 19.65/19.83 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 19.65/19.83 Parameter rel_d:(fofType->(fofType->Prop)).
% 19.65/19.83 Definition mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 19.65/19.83 Definition mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 19.65/19.83 Axiom a1:(mserial rel_d).
% 19.65/19.83 Parameter p:(fofType->Prop).
% 19.65/19.83 Trying to prove (mvalid ((mimplies (mbox_d (mbox_d p))) (mbox_d (mdia_d p))))
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 19.65/19.83 Found x10:False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 19.65/19.83 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 19.65/19.83 Found x10:False
% 33.76/33.96 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 33.76/33.96 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 33.76/33.96 Found x20:False
% 33.76/33.96 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 33.76/33.96 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 33.76/33.96 Found x20:False
% 33.76/33.96 Found (fun (x3:(p V00))=> x20) as proof of False
% 33.76/33.96 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 33.76/33.96 Found x30:False
% 33.76/33.96 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 33.76/33.96 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 33.76/33.96 Found x30:False
% 33.76/33.96 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 33.76/33.96 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 33.76/33.96 Found x30:False
% 33.76/33.96 Found (fun (x4:(p V00))=> x30) as proof of False
% 33.76/33.96 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 33.76/33.96 Found x30:False
% 33.76/33.96 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 33.76/33.96 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 33.76/33.96 Found x20:False
% 33.76/33.96 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 33.76/33.96 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 33.76/33.96 Found x20:False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 33.76/33.96 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 33.76/33.96 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 33.76/33.96 Found x10:False
% 33.76/33.96 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 33.76/33.96 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 36.07/36.31 Found x10:False
% 36.07/36.31 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 36.07/36.31 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 36.07/36.31 Found x10:False
% 36.07/36.31 Found (fun (x4:(p V1))=> x10) as proof of False
% 36.07/36.31 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 36.07/36.31 Found x10:False
% 36.07/36.31 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 36.07/36.31 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 36.07/36.31 Found x10:False
% 36.07/36.31 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 36.07/36.31 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 36.07/36.31 Found x30:False
% 36.07/36.31 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 36.07/36.31 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 36.07/36.31 Found x30:False
% 36.07/36.31 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 36.07/36.31 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 36.07/36.31 Found x10:False
% 36.07/36.31 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 36.07/36.31 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 36.07/36.31 Found x10:False
% 36.07/36.31 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 36.07/36.31 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 36.07/36.31 Found x30:False
% 36.07/36.31 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 36.07/36.31 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 36.07/36.31 Found x30:False
% 36.07/36.31 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 36.07/36.31 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 36.07/36.31 Found x20:False
% 36.07/36.31 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 36.07/36.31 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 36.07/36.31 Found x30:False
% 36.07/36.31 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 36.07/36.31 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 36.07/36.31 Found x20:False
% 36.07/36.31 Found (fun (x3:(p V00))=> x20) as proof of False
% 36.07/36.31 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 36.07/36.31 Found x20:False
% 36.07/36.31 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 36.07/36.31 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 36.07/36.31 Found x30:False
% 36.07/36.31 Found (fun (x4:(p V00))=> x30) as proof of False
% 36.07/36.31 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 36.07/36.31 Found x20:False
% 36.07/36.31 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 36.07/36.31 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 36.07/36.31 Found x10:False
% 36.07/36.31 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 36.07/36.31 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 36.07/36.31 Found x10:False
% 36.07/36.31 Found (fun (x4:(p V1))=> x10) as proof of False
% 36.07/36.31 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 36.07/36.31 Found x10:False
% 36.07/36.31 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 36.07/36.31 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 36.07/36.31 Found x10:False
% 36.07/36.31 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 36.07/36.32 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 36.07/36.32 Found x10:False
% 36.07/36.32 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 36.07/36.32 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 36.07/36.32 Found x30:False
% 36.07/36.32 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 36.07/36.32 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 36.07/36.32 Found x30:False
% 36.07/36.32 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 36.07/36.32 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 36.07/36.32 Found x10:False
% 36.07/36.32 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 36.07/36.32 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 36.07/36.32 Found x10:False
% 36.07/36.32 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 36.07/36.32 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 36.07/36.32 Found x10:False
% 36.07/36.32 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 36.07/36.32 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 52.57/52.77 Found x10:False
% 52.57/52.77 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 52.57/52.77 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 52.57/52.77 Found x10:False
% 52.57/52.77 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 52.57/52.77 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 52.57/52.77 Found x10:False
% 52.57/52.77 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 52.57/52.77 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 52.57/52.77 Found x10:False
% 52.57/52.77 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 52.57/52.77 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 52.57/52.77 Found x30:False
% 52.57/52.77 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 52.57/52.77 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 52.57/52.77 Found x20:False
% 52.57/52.77 Found (fun (x3:(p V00))=> x20) as proof of False
% 52.57/52.77 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 52.57/52.77 Found x20:False
% 52.57/52.77 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 52.57/52.77 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 52.57/52.77 Found x20:False
% 52.57/52.77 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 52.57/52.77 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 52.57/52.77 Found x30:False
% 52.57/52.77 Found (fun (x4:(p V00))=> x30) as proof of False
% 52.57/52.77 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 52.57/52.77 Found x20:False
% 52.57/52.77 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 52.57/52.77 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 52.57/52.77 Found x30:False
% 52.57/52.77 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 52.57/52.77 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 52.57/52.77 Found x30:False
% 52.57/52.77 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 52.57/52.77 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 52.57/52.77 Found x10:False
% 52.57/52.77 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 52.57/52.77 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 52.57/52.77 Found x10:False
% 52.57/52.77 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 52.57/52.77 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 52.57/52.77 Found x10:False
% 52.57/52.77 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 52.57/52.77 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 52.57/52.77 Found x10:False
% 52.57/52.77 Found (fun (x4:(p V1))=> x10) as proof of False
% 52.57/52.77 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 52.57/52.77 Found x10:False
% 52.57/52.77 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 52.57/52.77 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 52.57/52.77 Found x30:False
% 52.57/52.77 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 52.57/52.77 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 52.57/52.77 Found x30:False
% 52.57/52.77 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 52.57/52.77 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 52.57/52.77 Found x10:False
% 52.57/52.77 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 52.57/52.77 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 52.57/52.77 Found x10:False
% 52.57/52.77 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 52.57/52.77 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 52.57/52.77 Found x10:False
% 52.57/52.77 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 52.57/52.77 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 52.57/52.77 Found x20:False
% 52.57/52.77 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 52.57/52.77 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 52.57/52.77 Found x30:False
% 52.57/52.77 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 52.57/52.77 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 52.57/52.77 Found x20:False
% 52.57/52.77 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 52.57/52.77 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 52.57/52.77 Found x30:False
% 52.57/52.77 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 73.22/73.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 73.22/73.44 Found x30:False
% 73.22/73.44 Found (fun (x4:(p V00))=> x30) as proof of False
% 73.22/73.44 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 73.22/73.44 Found x30:False
% 73.22/73.44 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 73.22/73.44 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 73.22/73.44 Found x20:False
% 73.22/73.44 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 73.22/73.44 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 73.22/73.44 Found x20:False
% 73.22/73.44 Found (fun (x3:(p V00))=> x20) as proof of False
% 73.22/73.44 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x4:(p V1))=> x10) as proof of False
% 73.22/73.44 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 73.22/73.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 73.22/73.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 73.22/73.44 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 73.22/73.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 73.22/73.44 Found x30:False
% 73.22/73.44 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 73.22/73.44 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 73.22/73.44 Found x30:False
% 73.22/73.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 73.22/73.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 73.22/73.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of False
% 73.22/73.44 Found (fun (x3:((mbox_d p) V0))=> x10) as proof of (((mbox_d p) V0)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 73.22/73.44 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 73.22/73.44 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 73.22/73.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 73.22/73.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 73.22/73.44 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 73.22/73.44 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 73.22/73.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 73.22/73.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 73.22/73.44 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 73.22/73.44 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 73.22/73.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 73.22/73.44 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 73.22/73.44 Found x10:False
% 73.22/73.44 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 76.37/76.56 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 76.37/76.56 Found x10:False
% 76.37/76.56 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 76.37/76.56 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 76.37/76.56 Found x10:False
% 76.37/76.56 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 76.37/76.56 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 76.37/76.56 Found x10:False
% 76.37/76.56 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 76.37/76.56 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 76.37/76.56 Found x10:False
% 76.37/76.56 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 76.37/76.56 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 76.37/76.56 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 76.37/76.56 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 76.37/76.56 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 76.37/76.56 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)
% 76.37/76.56 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))
% 76.37/76.56 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 76.37/76.56 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 76.37/76.56 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 76.37/76.56 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 76.37/76.56 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 76.37/76.56 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 76.37/76.56 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 76.37/76.56 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 76.37/76.56 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 76.37/76.56 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 76.37/76.56 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 76.37/76.56 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 76.37/76.56 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 76.37/76.56 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 76.37/76.56 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 76.37/76.56 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 76.37/76.56 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)
% 76.37/76.56 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))
% 76.37/76.56 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 76.37/76.56 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 76.37/76.56 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 79.70/79.89 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 79.70/79.89 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 79.70/79.89 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 79.70/79.89 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)
% 79.70/79.89 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))
% 79.70/79.89 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 79.70/79.89 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 79.70/79.89 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 79.70/79.89 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 79.70/79.89 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 79.70/79.89 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 79.70/79.89 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 79.70/79.89 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 79.70/79.89 Found x10:False
% 79.70/79.89 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 79.70/79.89 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 79.70/79.89 Found x10:False
% 79.70/79.89 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 79.70/79.89 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 79.70/79.89 Found x10:False
% 79.70/79.89 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 79.70/79.89 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 79.70/79.89 Found x10:False
% 79.70/79.89 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 79.70/79.89 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 79.70/79.89 Found x10:False
% 79.70/79.89 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 79.70/79.89 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 79.70/79.89 Found x10:False
% 79.70/79.89 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 79.70/79.89 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 79.70/79.89 Found x10:False
% 79.70/79.89 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 79.70/79.89 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 79.70/79.89 Found x10:False
% 79.70/79.89 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 79.70/79.89 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 79.70/79.89 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 79.70/79.89 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 79.70/79.89 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 79.70/79.89 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 79.70/79.89 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 79.70/79.89 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 79.70/79.89 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 79.70/79.89 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 79.70/79.89 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)
% 79.70/79.89 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))
% 83.05/83.28 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 83.05/83.28 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 83.05/83.28 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 83.05/83.28 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 83.05/83.28 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 83.05/83.28 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 83.05/83.28 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 83.05/83.28 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 83.05/83.28 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 83.05/83.28 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 83.05/83.28 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 83.05/83.28 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)
% 83.05/83.28 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))
% 83.05/83.28 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 83.05/83.28 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 83.05/83.28 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 83.05/83.28 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 83.05/83.28 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 83.05/83.28 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 83.05/83.28 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 83.05/83.28 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 83.05/83.28 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 83.05/83.28 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 83.05/83.28 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 83.05/83.28 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)
% 83.05/83.28 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))
% 83.05/83.28 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 83.05/83.28 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 89.07/89.29 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 89.07/89.29 Found x20:False
% 89.07/89.29 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 89.07/89.29 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 89.07/89.29 Found x30:False
% 89.07/89.29 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 89.07/89.29 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 89.07/89.29 Found x20:False
% 89.07/89.29 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 89.07/89.29 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 89.07/89.29 Found x20:False
% 89.07/89.29 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 89.07/89.29 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 89.07/89.29 Found x30:False
% 89.07/89.29 Found (fun (x4:(p V00))=> x30) as proof of False
% 89.07/89.29 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 89.07/89.29 Found x20:False
% 89.07/89.29 Found (fun (x3:(p V00))=> x20) as proof of False
% 89.07/89.29 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 89.07/89.29 Found x30:False
% 89.07/89.29 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 89.07/89.29 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 89.07/89.29 Found x30:False
% 89.07/89.29 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 89.07/89.29 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 89.07/89.29 Found x10:False
% 89.07/89.29 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 89.07/89.29 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 89.07/89.29 Found x10:False
% 89.07/89.29 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 89.07/89.29 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 89.07/89.29 Found x10:False
% 89.07/89.29 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 89.07/89.29 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 89.07/89.29 Found x10:False
% 89.07/89.29 Found (fun (x4:(p V1))=> x10) as proof of False
% 89.07/89.29 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 89.07/89.29 Found x20:False
% 89.07/89.29 Found (fun (x3:(p V00))=> x20) as proof of False
% 89.07/89.29 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 89.07/89.29 Found x20:False
% 89.07/89.29 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 89.07/89.29 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 89.07/89.29 Found x20:False
% 89.07/89.29 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 89.07/89.29 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 89.07/89.29 Found x30:False
% 89.07/89.29 Found (fun (x4:(p V00))=> x30) as proof of False
% 89.07/89.29 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 89.07/89.29 Found x30:False
% 89.07/89.29 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 89.07/89.29 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 89.07/89.29 Found x30:False
% 89.07/89.29 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 89.07/89.29 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 89.07/89.29 Found x20:False
% 89.07/89.29 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 89.07/89.29 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 89.07/89.29 Found x30:False
% 89.07/89.29 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 89.07/89.29 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 89.07/89.29 Found x10:False
% 89.07/89.29 Found (fun (x4:(p V1))=> x10) as proof of False
% 89.07/89.29 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 89.07/89.29 Found x30:False
% 89.07/89.29 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 89.07/89.29 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 89.07/89.29 Found x10:False
% 89.07/89.29 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 89.07/89.29 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 89.07/89.29 Found x10:False
% 89.07/89.29 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 89.07/89.29 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 96.54/96.75 Found x10:False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 96.54/96.75 Found x10:False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 96.54/96.75 Found x10:False
% 96.54/96.75 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 96.54/96.75 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 96.54/96.75 Found x30:False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 96.54/96.75 Found x10:False
% 96.54/96.75 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 96.54/96.75 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 96.54/96.75 Found x30:False
% 96.54/96.75 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 96.54/96.75 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 96.54/96.75 Found x30:False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 96.54/96.75 Found x10:False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 96.54/96.75 Found x10:False
% 96.54/96.75 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 96.54/96.75 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 96.54/96.75 Found x10:False
% 96.54/96.75 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 96.54/96.75 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 96.54/96.75 Found x10:False
% 96.54/96.75 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 96.54/96.75 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 96.54/96.75 Found x10:False
% 96.54/96.75 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 96.54/96.75 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 96.54/96.75 Found x20:False
% 96.54/96.75 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 96.54/96.75 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 96.54/96.75 Found x20:False
% 96.54/96.75 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 96.54/96.75 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 96.54/96.75 Found x30:False
% 96.54/96.75 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 96.54/96.75 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 96.54/96.75 Found x30:False
% 96.54/96.75 Found (fun (x4:(p V00))=> x30) as proof of False
% 96.54/96.75 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 96.54/96.75 Found x20:False
% 96.54/96.75 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 96.54/96.75 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 96.54/96.75 Found x20:False
% 96.54/96.75 Found (fun (x3:(p V00))=> x20) as proof of False
% 96.54/96.75 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 96.54/96.75 Found x30:False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 96.54/96.75 Found x30:False
% 96.54/96.75 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 96.54/96.75 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 96.54/96.75 Found x10:False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 96.54/96.75 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 96.54/96.75 Found x10:False
% 96.54/96.75 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 96.54/96.75 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 96.54/96.75 Found x10:False
% 96.54/96.75 Found (fun (x4:(p V1))=> x10) as proof of False
% 96.54/96.75 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 96.54/96.75 Found x10:False
% 96.54/96.75 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 96.54/96.75 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 96.54/96.75 Found x20:False
% 96.54/96.75 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 96.54/96.75 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 96.54/96.75 Found x30:False
% 96.54/96.75 Found (fun (x4:(p V00))=> x30) as proof of False
% 96.54/96.75 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 99.56/99.77 Found x30:False
% 99.56/99.77 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 99.56/99.77 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 99.56/99.77 Found x20:False
% 99.56/99.77 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 99.56/99.77 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 99.56/99.77 Found x30:False
% 99.56/99.77 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 99.56/99.77 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 99.56/99.77 Found x30:False
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 99.56/99.77 Found x20:False
% 99.56/99.77 Found (fun (x3:(p V00))=> x20) as proof of False
% 99.56/99.77 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 99.56/99.77 Found x20:False
% 99.56/99.77 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 99.56/99.77 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 99.56/99.77 Found x10:False
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 99.56/99.77 Found x30:False
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 99.56/99.77 Found x10:False
% 99.56/99.77 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 99.56/99.77 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 99.56/99.77 Found x10:False
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 99.56/99.77 Found x10:False
% 99.56/99.77 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 99.56/99.77 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 99.56/99.77 Found x30:False
% 99.56/99.77 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 99.56/99.77 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 99.56/99.77 Found x10:False
% 99.56/99.77 Found (fun (x4:(p V1))=> x10) as proof of False
% 99.56/99.77 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 99.56/99.77 Found x10:False
% 99.56/99.77 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 99.56/99.77 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 99.56/99.77 Found x10:False
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 99.56/99.77 Found x30:False
% 99.56/99.77 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 99.56/99.77 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 99.56/99.77 Found x10:False
% 99.56/99.77 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 99.56/99.77 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 99.56/99.77 Found x30:False
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 99.56/99.77 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 99.56/99.77 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.56/99.77 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.56/99.77 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)
% 99.56/99.77 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))
% 99.56/99.77 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 99.56/99.77 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.56/99.77 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 99.56/99.77 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 99.56/99.77 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 99.56/99.77 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 103.68/103.87 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 103.68/103.87 Found x10:False
% 103.68/103.87 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 103.68/103.87 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 103.68/103.87 Found x10:False
% 103.68/103.87 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 103.68/103.87 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 103.68/103.87 Found x10:False
% 103.68/103.87 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 103.68/103.87 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 103.68/103.87 Found x10:False
% 103.68/103.87 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 103.68/103.87 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 103.68/103.87 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 103.68/103.87 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 103.68/103.87 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 103.68/103.87 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 103.68/103.87 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 103.68/103.87 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 103.68/103.87 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 103.68/103.87 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 103.68/103.87 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)
% 103.68/103.87 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))
% 103.68/103.87 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 103.68/103.87 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 103.68/103.87 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 103.68/103.87 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 103.68/103.87 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 103.68/103.87 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 103.68/103.87 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 103.68/103.87 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 103.68/103.87 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 103.68/103.87 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 103.68/103.87 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 103.68/103.87 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)
% 103.68/103.87 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))
% 103.68/103.87 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 117.52/117.75 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 117.52/117.75 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 117.52/117.75 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 117.52/117.75 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 117.52/117.75 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 117.52/117.75 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)
% 117.52/117.75 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))
% 117.52/117.75 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 117.52/117.75 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 117.52/117.75 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 117.52/117.75 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 117.52/117.75 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 117.52/117.75 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 117.52/117.75 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 117.52/117.75 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 117.52/117.75 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 117.52/117.75 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 117.52/117.75 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 117.52/117.75 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 117.52/117.75 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 117.52/117.75 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 117.52/117.75 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 117.52/117.75 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 117.52/117.75 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)
% 117.52/117.75 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))
% 117.52/117.75 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 117.52/117.75 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 117.52/117.75 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 122.15/122.44 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 122.15/122.44 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 122.15/122.44 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 122.15/122.44 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)
% 122.15/122.44 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))
% 122.15/122.44 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 122.15/122.44 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 122.15/122.44 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 122.15/122.44 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 122.15/122.44 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 122.15/122.44 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 122.15/122.44 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 122.15/122.44 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 122.15/122.44 Found x20:False
% 122.15/122.44 Found (fun (x3:(p V00))=> x20) as proof of False
% 122.15/122.44 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 122.15/122.44 Found x30:False
% 122.15/122.44 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 122.15/122.44 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 122.15/122.44 Found x30:False
% 122.15/122.44 Found (fun (x4:(p V00))=> x30) as proof of False
% 122.15/122.44 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 122.15/122.44 Found x30:False
% 122.15/122.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 122.15/122.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 122.15/122.44 Found x30:False
% 122.15/122.44 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 122.15/122.44 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 122.15/122.44 Found x20:False
% 122.15/122.44 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 122.15/122.44 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 122.15/122.44 Found x20:False
% 122.15/122.44 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 122.15/122.44 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 122.15/122.44 Found x20:False
% 122.15/122.44 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 122.15/122.44 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 122.15/122.44 Found x10:False
% 122.15/122.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 122.15/122.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 122.15/122.44 Found x10:False
% 122.15/122.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 122.15/122.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 122.15/122.44 Found x10:False
% 122.15/122.44 Found (fun (x4:(p V1))=> x10) as proof of False
% 122.15/122.44 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 122.15/122.44 Found x10:False
% 122.15/122.44 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 122.15/122.44 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 122.15/122.44 Found x20:False
% 122.15/122.44 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 122.15/122.44 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 122.15/122.44 Found x30:False
% 122.15/122.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 122.15/122.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 122.15/122.44 Found x30:False
% 132.32/132.54 Found (fun (x4:(p V00))=> x30) as proof of False
% 132.32/132.54 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 132.32/132.54 Found x20:False
% 132.32/132.54 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 132.32/132.54 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 132.32/132.54 Found x30:False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 132.32/132.54 Found x20:False
% 132.32/132.54 Found (fun (x3:(p V00))=> x20) as proof of False
% 132.32/132.54 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 132.32/132.54 Found x30:False
% 132.32/132.54 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 132.32/132.54 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 132.32/132.54 Found x20:False
% 132.32/132.54 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 132.32/132.54 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 132.32/132.54 Found x10:False
% 132.32/132.54 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 132.32/132.54 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 132.32/132.54 Found x10:False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 132.32/132.54 Found x30:False
% 132.32/132.54 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 132.32/132.54 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 132.32/132.54 Found x10:False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 132.32/132.54 Found x10:False
% 132.32/132.54 Found (fun (x4:(p V1))=> x10) as proof of False
% 132.32/132.54 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 132.32/132.54 Found x10:False
% 132.32/132.54 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 132.32/132.54 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 132.32/132.54 Found x30:False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 132.32/132.54 Found x10:False
% 132.32/132.54 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 132.32/132.54 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 132.32/132.54 Found x10:False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 132.32/132.54 Found x10:False
% 132.32/132.54 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 132.32/132.54 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 132.32/132.54 Found x30:False
% 132.32/132.54 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 132.32/132.54 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 132.32/132.54 Found x30:False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 132.32/132.54 Found x20:False
% 132.32/132.54 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 132.32/132.54 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 132.32/132.54 Found x30:False
% 132.32/132.54 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 132.32/132.54 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 132.32/132.54 Found x30:False
% 132.32/132.54 Found (fun (x4:(p V00))=> x30) as proof of False
% 132.32/132.54 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 132.32/132.54 Found x30:False
% 132.32/132.54 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 132.32/132.54 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 132.32/132.54 Found x20:False
% 132.32/132.54 Found (fun (x3:(p V00))=> x20) as proof of False
% 132.32/132.54 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 132.32/132.54 Found x20:False
% 132.32/132.54 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 132.32/132.54 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 132.32/132.54 Found x30:False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 132.32/132.54 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 132.32/132.54 Found x20:False
% 132.32/132.54 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 132.32/132.54 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 132.32/132.54 Found x10:False
% 132.32/132.54 Found (fun (x4:(p V1))=> x10) as proof of False
% 136.21/136.44 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 136.21/136.44 Found x10:False
% 136.21/136.44 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 136.21/136.44 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 136.21/136.44 Found x10:False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 136.21/136.44 Found x10:False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 136.21/136.44 Found x30:False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 136.21/136.44 Found x20:False
% 136.21/136.44 Found (fun (x3:(p V00))=> x20) as proof of False
% 136.21/136.44 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 136.21/136.44 Found x30:False
% 136.21/136.44 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 136.21/136.44 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 136.21/136.44 Found x20:False
% 136.21/136.44 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 136.21/136.44 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 136.21/136.44 Found x30:False
% 136.21/136.44 Found (fun (x4:(p V00))=> x30) as proof of False
% 136.21/136.44 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 136.21/136.44 Found x30:False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 136.21/136.44 Found x20:False
% 136.21/136.44 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 136.21/136.44 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 136.21/136.44 Found x20:False
% 136.21/136.44 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 136.21/136.44 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 136.21/136.44 Found x10:False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 136.21/136.44 Found x10:False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 136.21/136.44 Found x10:False
% 136.21/136.44 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 136.21/136.44 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 136.21/136.44 Found x30:False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 136.21/136.44 Found x30:False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 136.21/136.44 Found x10:False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 136.21/136.44 Found x10:False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 136.21/136.44 Found x10:False
% 136.21/136.44 Found (fun (x4:(p V1))=> x10) as proof of False
% 136.21/136.44 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 136.21/136.44 Found x30:False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 136.21/136.44 Found x30:False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 136.21/136.44 Found x10:False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 136.21/136.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 136.21/136.44 Found x10:False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 136.21/136.44 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 136.21/136.44 Found x30:False
% 136.21/136.44 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 136.21/136.44 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 136.21/136.44 Found x30:False
% 136.21/136.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 136.21/136.44 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 136.21/136.44 Found x10:False
% 136.21/136.44 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 173.16/173.45 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 173.16/173.45 Found x10:False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 173.16/173.45 Found x10:False
% 173.16/173.45 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 173.16/173.45 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 173.16/173.45 Found x30:False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 173.16/173.45 Found x30:False
% 173.16/173.45 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 173.16/173.45 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 173.16/173.45 Found x10:False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 173.16/173.45 Found x10:False
% 173.16/173.45 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 173.16/173.45 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 173.16/173.45 Found x10:False
% 173.16/173.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 173.16/173.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 173.16/173.45 Found x30:False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 173.16/173.45 Found x30:False
% 173.16/173.45 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 173.16/173.45 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 173.16/173.45 Found x10:False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 173.16/173.45 Found x10:False
% 173.16/173.45 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 173.16/173.45 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 173.16/173.45 Found x10:False
% 173.16/173.45 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 173.16/173.45 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 173.16/173.45 Found x10:False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 173.16/173.45 Found x30:False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 173.16/173.45 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 173.16/173.45 Found x30:False
% 173.16/173.45 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 173.16/173.45 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 173.16/173.45 Found x10:False
% 173.16/173.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 173.16/173.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 173.16/173.45 Found x10:False
% 173.16/173.45 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 173.16/173.45 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 173.16/173.45 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 173.16/173.45 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 173.16/173.45 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 173.16/173.45 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)
% 173.16/173.45 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))
% 173.16/173.45 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 173.16/173.45 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 173.16/173.45 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 173.16/173.45 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 173.16/173.45 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 173.16/173.45 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 173.16/173.45 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 179.66/179.95 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 179.66/179.95 Found x10:False
% 179.66/179.95 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 179.66/179.95 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 179.66/179.95 Found x10:False
% 179.66/179.95 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 179.66/179.95 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 179.66/179.95 Found x10:False
% 179.66/179.95 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 179.66/179.95 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 179.66/179.95 Found x10:False
% 179.66/179.95 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 179.66/179.95 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 179.66/179.95 Found x30:False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 179.66/179.95 Found x30:False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 179.66/179.95 Found x10:False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 179.66/179.95 Found x10:False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 179.66/179.95 Found x30:False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 179.66/179.95 Found x30:False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 179.66/179.95 Found x10:False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 179.66/179.95 Found x10:False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 179.66/179.95 Found x30:False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 179.66/179.95 Found x10:False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 179.66/179.95 Found x30:False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 179.66/179.95 Found x10:False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 179.66/179.95 Found x30:False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 179.66/179.95 Found x10:False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 179.66/179.95 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 179.66/179.95 Found x10:False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 179.66/179.95 Found x30:False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 179.66/179.95 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 179.66/179.95 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 179.66/179.95 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 179.66/179.95 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 179.66/179.95 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)
% 180.43/180.70 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))
% 180.43/180.70 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 180.43/180.70 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 180.43/180.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 180.43/180.70 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 180.43/180.70 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 180.43/180.70 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 180.43/180.70 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 180.43/180.70 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 180.43/180.70 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 180.43/180.70 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 180.43/180.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 180.43/180.70 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 180.43/180.70 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 180.43/180.70 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 180.43/180.70 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 180.43/180.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 180.43/180.70 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)
% 180.43/180.70 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))
% 180.43/180.70 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 180.43/180.70 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 180.43/180.70 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 180.43/180.70 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 180.43/180.70 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 180.43/180.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 180.43/180.70 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)
% 180.43/180.70 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))
% 180.43/180.70 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 180.43/180.70 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 180.43/180.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 180.43/180.70 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 180.43/180.70 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 191.47/191.70 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 191.47/191.70 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 191.47/191.70 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 191.47/191.70 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 191.47/191.70 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 191.47/191.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 191.47/191.70 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)
% 191.47/191.70 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))
% 191.47/191.70 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 191.47/191.70 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 191.47/191.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 191.47/191.70 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 191.47/191.70 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 191.47/191.70 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 191.47/191.70 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 191.47/191.70 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 191.47/191.70 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 191.47/191.70 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 191.47/191.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 191.47/191.70 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)
% 191.47/191.70 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))
% 191.47/191.70 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 191.47/191.70 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 191.47/191.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 191.47/191.70 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 191.47/191.70 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 191.47/191.70 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 191.47/191.70 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 191.47/191.70 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 191.77/192.01 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 191.77/192.01 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 191.77/192.01 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 191.77/192.01 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 191.77/192.01 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 191.77/192.01 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 191.77/192.01 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 191.77/192.01 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 191.77/192.01 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)
% 191.77/192.01 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))
% 191.77/192.01 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 191.77/192.01 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 191.77/192.01 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 191.77/192.01 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 191.77/192.01 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 191.77/192.01 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 191.77/192.01 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 191.77/192.01 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 191.77/192.01 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 191.77/192.01 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 191.77/192.01 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 191.77/192.01 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)
% 191.77/192.01 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))
% 191.77/192.01 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 191.77/192.01 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 191.77/192.01 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 191.77/192.01 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 191.77/192.01 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 191.77/192.01 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 199.23/199.45 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 199.23/199.45 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 199.23/199.45 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 199.23/199.45 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 199.23/199.45 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 199.23/199.45 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)
% 199.23/199.45 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))
% 199.23/199.45 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 199.23/199.45 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 199.23/199.45 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 199.23/199.45 Found x10:False
% 199.23/199.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 199.23/199.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 199.23/199.45 Found x10:False
% 199.23/199.45 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 199.23/199.45 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 199.23/199.45 Found x10:False
% 199.23/199.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 199.23/199.45 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 199.23/199.45 Found x10:False
% 199.23/199.45 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 199.23/199.45 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 199.23/199.45 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 199.23/199.45 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 199.23/199.45 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 199.23/199.45 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 199.23/199.45 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 199.23/199.45 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 199.23/199.45 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 199.23/199.45 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 199.23/199.45 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)
% 199.23/199.45 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))
% 199.23/199.45 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 199.23/199.45 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 199.23/199.45 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 199.23/199.45 Found x30:False
% 199.23/199.45 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 200.82/201.12 Found x30:False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 200.82/201.12 Found x10:False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 200.82/201.12 Found x30:False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 200.82/201.12 Found x30:False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 200.82/201.12 Found x10:False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 200.82/201.12 Found x10:False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 200.82/201.12 Found x10:False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 200.82/201.12 Found x10:False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 200.82/201.12 Found x30:False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 200.82/201.12 Found x10:False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 200.82/201.12 Found x30:False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 200.82/201.12 Found x30:False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 200.82/201.12 Found x30:False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 200.82/201.12 Found x10:False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 200.82/201.12 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 200.82/201.12 Found x10:False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 200.82/201.12 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 200.82/201.12 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 200.82/201.12 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 200.82/201.12 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 200.82/201.12 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)
% 200.82/201.12 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))
% 200.82/201.12 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 200.82/201.12 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 200.82/201.12 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 200.82/201.12 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 200.82/201.12 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 200.82/201.12 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 200.82/201.12 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 200.82/201.12 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 203.57/203.80 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 203.57/203.80 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 203.57/203.80 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 203.57/203.80 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)
% 203.57/203.80 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))
% 203.57/203.80 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 203.57/203.80 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 203.57/203.80 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 203.57/203.80 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 203.57/203.80 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 203.57/203.80 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 203.57/203.80 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 203.57/203.80 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 203.57/203.80 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 203.57/203.80 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 203.57/203.80 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 203.57/203.80 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)
% 203.57/203.80 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))
% 203.57/203.80 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 203.57/203.80 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 203.57/203.80 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 203.57/203.80 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 203.57/203.80 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 203.57/203.80 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 203.57/203.80 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 203.57/203.80 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 203.57/203.80 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 203.57/203.80 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 203.57/203.80 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 203.57/203.80 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 203.57/203.80 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 216.38/216.62 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 216.38/216.62 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 216.38/216.62 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 216.38/216.62 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)
% 216.38/216.62 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))
% 216.38/216.62 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 216.38/216.62 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 216.38/216.62 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 216.38/216.62 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 216.38/216.62 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 216.38/216.62 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 216.38/216.62 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)
% 216.38/216.62 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))
% 216.38/216.62 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 216.38/216.62 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 216.38/216.62 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 216.38/216.62 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 216.38/216.62 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 216.38/216.62 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 216.38/216.62 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 216.38/216.62 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 216.38/216.62 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 216.38/216.62 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 216.38/216.62 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 216.38/216.62 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 216.38/216.62 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 216.38/216.62 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 216.38/216.62 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 216.38/216.62 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 216.38/216.62 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)
% 216.38/216.62 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))
% 216.44/216.68 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 216.44/216.68 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 216.44/216.68 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 216.44/216.68 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 216.44/216.68 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 216.44/216.68 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 216.44/216.68 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 216.44/216.68 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 216.44/216.68 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 216.44/216.68 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 216.44/216.68 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 216.44/216.68 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)
% 216.44/216.68 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))
% 216.44/216.68 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 216.44/216.68 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 216.44/216.68 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 216.44/216.68 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 216.44/216.68 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 216.44/216.68 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 216.44/216.68 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)
% 216.44/216.68 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))
% 216.44/216.68 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 216.44/216.68 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 216.44/216.68 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 216.44/216.68 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 216.44/216.68 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 216.44/216.68 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 216.44/216.68 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 216.44/216.68 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 262.32/262.58 Found x30:False
% 262.32/262.58 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 262.32/262.58 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 262.32/262.58 Found x30:False
% 262.32/262.58 Found (fun (x4:(p V00))=> x30) as proof of False
% 262.32/262.58 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 262.32/262.58 Found x30:False
% 262.32/262.58 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 262.32/262.58 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 262.32/262.58 Found x20:False
% 262.32/262.58 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 262.32/262.58 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 262.32/262.58 Found x30:False
% 262.32/262.58 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 262.32/262.58 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 262.32/262.58 Found x20:False
% 262.32/262.58 Found (fun (x3:(p V00))=> x20) as proof of False
% 262.32/262.58 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 262.32/262.58 Found x20:False
% 262.32/262.58 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 262.32/262.58 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 262.32/262.58 Found x20:False
% 262.32/262.58 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 262.32/262.58 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 262.32/262.58 Found x10:False
% 262.32/262.58 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 262.32/262.58 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 262.32/262.58 Found x10:False
% 262.32/262.58 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 262.32/262.58 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 262.32/262.58 Found x10:False
% 262.32/262.58 Found (fun (x4:(p V1))=> x10) as proof of False
% 262.32/262.58 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 262.32/262.58 Found x10:False
% 262.32/262.58 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 262.32/262.58 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 262.32/262.58 Found x30:False
% 262.32/262.58 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 262.32/262.58 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 262.32/262.58 Found x10:False
% 262.32/262.58 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 262.32/262.58 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 262.32/262.58 Found x30:False
% 262.32/262.58 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 262.32/262.58 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 262.32/262.58 Found x10:False
% 262.32/262.58 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 262.32/262.58 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 262.32/262.58 Found x10:False
% 262.32/262.58 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 262.32/262.58 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 262.32/262.58 Found x10:False
% 262.32/262.58 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 262.32/262.58 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 262.32/262.58 Found x20:False
% 262.32/262.58 Found (fun (x3:(p V00))=> x20) as proof of False
% 262.32/262.58 Found (fun (x3:(p V00))=> x20) as proof of ((p V00)->False)
% 262.32/262.58 Found x20:False
% 262.32/262.58 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of False
% 262.32/262.58 Found (fun (x4:((mbox_d p) V1))=> x20) as proof of (((mbox_d p) V1)->False)
% 262.32/262.58 Found x20:False
% 262.32/262.58 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of False
% 262.32/262.58 Found (fun (x4:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 262.32/262.58 Found x20:False
% 262.32/262.58 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of False
% 262.32/262.58 Found (fun (x3:(((rel_d V) V00)->False))=> x20) as proof of ((((rel_d V) V00)->False)->False)
% 262.32/262.58 Found x30:False
% 262.32/262.58 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of False
% 262.32/262.58 Found (fun (x4:(((rel_d V) V00)->False))=> x30) as proof of ((((rel_d V) V00)->False)->False)
% 262.32/262.58 Found x30:False
% 262.32/262.58 Found (fun (x4:(p V00))=> x30) as proof of False
% 262.32/262.58 Found (fun (x4:(p V00))=> x30) as proof of ((p V00)->False)
% 262.32/262.58 Found x30:False
% 275.65/275.91 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 275.65/275.91 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 275.65/275.91 Found x30:False
% 275.65/275.91 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 275.65/275.91 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 275.65/275.91 Found x10:False
% 275.65/275.91 Found (fun (x4:(p V1))=> x10) as proof of False
% 275.65/275.91 Found (fun (x4:(p V1))=> x10) as proof of ((p V1)->False)
% 275.65/275.91 Found x10:False
% 275.65/275.91 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of False
% 275.65/275.91 Found (fun (x4:(((rel_d V0) V1)->False))=> x10) as proof of ((((rel_d V0) V1)->False)->False)
% 275.65/275.91 Found x10:False
% 275.65/275.91 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 275.65/275.91 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 275.65/275.91 Found x10:False
% 275.65/275.91 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 275.65/275.91 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 275.65/275.91 Found x10:False
% 275.65/275.91 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 275.65/275.91 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 275.65/275.91 Found x10:False
% 275.65/275.91 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of False
% 275.65/275.91 Found (fun (x5:((mbox_d p) V1))=> x10) as proof of (((mbox_d p) V1)->False)
% 275.65/275.91 Found x30:False
% 275.65/275.91 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 275.65/275.91 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 275.65/275.91 Found x30:False
% 275.65/275.91 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of False
% 275.65/275.91 Found (fun (x5:((mbox_d p) V1))=> x30) as proof of (((mbox_d p) V1)->False)
% 275.65/275.91 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 275.65/275.91 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 275.65/275.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 275.65/275.91 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 275.65/275.91 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 275.65/275.91 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 275.65/275.91 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 275.65/275.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 275.65/275.91 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)
% 275.65/275.91 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))
% 275.65/275.91 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 275.65/275.91 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 275.65/275.91 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 275.65/275.91 Found x30:False
% 275.65/275.91 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 275.65/275.91 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 275.65/275.91 Found x30:False
% 275.65/275.91 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 275.65/275.91 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 275.65/275.91 Found x10:False
% 275.65/275.91 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 275.65/275.91 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 275.65/275.91 Found x10:False
% 275.65/275.91 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 275.65/275.91 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 275.65/275.91 Found x10:False
% 275.65/275.91 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of False
% 279.95/280.20 Found (fun (x5:(((rel_d V) V01)->False))=> x10) as proof of ((((rel_d V) V01)->False)->False)
% 279.95/280.20 Found x10:False
% 279.95/280.20 Found (fun (x5:((mnot p) V01))=> x10) as proof of False
% 279.95/280.20 Found (fun (x5:((mnot p) V01))=> x10) as proof of (((mnot p) V01)->False)
% 279.95/280.20 Found x30:False
% 279.95/280.20 Found (fun (x5:((mnot p) V01))=> x30) as proof of False
% 279.95/280.20 Found (fun (x5:((mnot p) V01))=> x30) as proof of (((mnot p) V01)->False)
% 279.95/280.20 Found x30:False
% 279.95/280.20 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of False
% 279.95/280.20 Found (fun (x5:(((rel_d V) V01)->False))=> x30) as proof of ((((rel_d V) V01)->False)->False)
% 279.95/280.20 Found x10:False
% 279.95/280.20 Found (fun (x3:((mnot p) V00))=> x10) as proof of False
% 279.95/280.20 Found (fun (x3:((mnot p) V00))=> x10) as proof of (((mnot p) V00)->False)
% 279.95/280.20 Found x10:False
% 279.95/280.20 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of False
% 279.95/280.20 Found (fun (x3:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 279.95/280.20 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 279.95/280.20 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.95/280.20 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.95/280.20 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 279.95/280.20 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 279.95/280.20 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 279.95/280.20 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.95/280.20 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.95/280.20 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)
% 279.95/280.20 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))
% 279.95/280.20 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 279.95/280.20 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 279.95/280.20 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 279.95/280.20 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 279.95/280.20 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.95/280.20 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.95/280.20 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 279.95/280.20 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 279.95/280.20 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 279.95/280.20 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.95/280.20 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.95/280.20 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)
% 279.95/280.20 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))
% 279.95/280.20 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 279.95/280.20 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 279.95/280.20 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.79/292.05 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 291.79/292.05 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.79/292.05 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.79/292.05 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 291.79/292.05 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 291.79/292.05 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 291.79/292.05 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.79/292.05 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.79/292.05 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)
% 291.79/292.05 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))
% 291.79/292.05 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 291.79/292.05 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 291.79/292.05 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 291.79/292.05 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 291.79/292.05 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.79/292.05 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.79/292.05 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)
% 291.79/292.05 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))
% 291.79/292.05 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 291.79/292.05 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.79/292.05 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.79/292.05 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 291.79/292.05 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 291.79/292.05 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.79/292.05 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.79/292.05 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.79/292.05 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 291.79/292.05 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.79/292.05 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.79/292.05 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)
% 293.29/293.58 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))
% 293.29/293.58 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 293.29/293.58 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 293.29/293.58 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 293.29/293.58 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 293.29/293.58 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mbox_d p) V1)->((rel_d W) V))
% 293.29/293.58 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 293.29/293.58 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 293.29/293.58 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 293.29/293.58 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 293.29/293.58 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 293.29/293.58 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 293.29/293.58 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 293.29/293.58 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mbox_d p) V1)->((rel_d W) V0))
% 293.29/293.58 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 293.29/293.58 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 293.29/293.58 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 293.29/293.58 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)
% 293.29/293.58 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))
% 293.29/293.58 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 293.29/293.58 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 293.29/293.58 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mbox_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mbox_d 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:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 293.29/293.58 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 293.29/293.58 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 293.29/293.58 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 293.29/293.58 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)
% 293.29/293.58 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))
% 293.29/293.58 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 293.29/293.58 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 293.29/293.58 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 293.29/293.58 Found (fun (x5:((mbox_d p) V1))=> ((fun (P:Type)=> ((False_rect P) x
%------------------------------------------------------------------------------