TSTP Solution File: SYO418^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO418^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:23 EDT 2022
% Result : Timeout 294.39s 294.78s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO418^1 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n001.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 13:56:58 EST 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.33 Python 2.7.5
% 0.38/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.38/0.61 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2100908>, <kernel.Type object at 0x2100440>) of role type named mu_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mu:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2100518>, <kernel.DependentProduct object at 0x2100908>) of role type named meq_ind_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.38/0.61 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
% 0.38/0.61 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.38/0.61 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2100908>, <kernel.DependentProduct object at 0x2100290>) of role type named meq_prop_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61 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
% 0.38/0.61 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))))
% 0.38/0.61 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x21008c0>, <kernel.DependentProduct object at 0x2100518>) of role type named mnot_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.38/0.61 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.38/0.61 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.38/0.61 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2100518>, <kernel.DependentProduct object at 0x2100098>) of role type named mor_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61 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
% 0.38/0.61 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))))
% 0.38/0.61 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2100098>, <kernel.DependentProduct object at 0x2100200>) of role type named mand_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61 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
% 0.38/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.38/0.61 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2100200>, <kernel.DependentProduct object at 0x2100ab8>) of role type named mimplies_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61 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
% 0.38/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.38/0.61 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2100ab8>, <kernel.DependentProduct object at 0x2100680>) of role type named mimplied_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.62 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
% 0.46/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.46/0.62 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2100680>, <kernel.DependentProduct object at 0x2100518>) of role type named mequiv_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.62 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
% 0.46/0.62 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))))
% 0.46/0.62 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2100518>, <kernel.DependentProduct object at 0x2100098>) of role type named mxor_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.62 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
% 0.46/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.46/0.62 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2100908>, <kernel.DependentProduct object at 0x2100680>) of role type named mforall_ind_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.46/0.62 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
% 0.46/0.62 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.46/0.62 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2100680>, <kernel.DependentProduct object at 0x21009e0>) of role type named mforall_prop_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.46/0.62 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
% 0.46/0.62 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))))
% 0.46/0.62 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x21009e0>, <kernel.DependentProduct object at 0x2100200>) of role type named mexists_ind_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.46/0.62 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
% 0.46/0.62 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)))))))
% 0.46/0.63 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2100200>, <kernel.DependentProduct object at 0x21006c8>) of role type named mexists_prop_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.46/0.63 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
% 0.46/0.63 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)))))))
% 0.46/0.63 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x21006c8>, <kernel.DependentProduct object at 0x2100f38>) of role type named mtrue_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mtrue:(fofType->Prop)
% 0.46/0.63 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.46/0.63 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.46/0.63 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x239f908>, <kernel.DependentProduct object at 0x2100dd0>) of role type named mfalse_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mfalse:(fofType->Prop)
% 0.46/0.63 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.46/0.63 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.46/0.63 Defined: mfalse:=(mnot mtrue)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2100f38>, <kernel.DependentProduct object at 0x21005f0>) of role type named mbox_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.63 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
% 0.46/0.63 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)))))
% 0.46/0.63 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x239fb00>, <kernel.DependentProduct object at 0x2b349e50e5a8>) of role type named mdia_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.63 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
% 0.46/0.63 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)))))
% 0.46/0.63 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b349e50e440>, <kernel.DependentProduct object at 0x21001b8>) of role type named mreflexive_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.46/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.46/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.46/0.63 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b349e50e440>, <kernel.DependentProduct object at 0x2100710>) of role type named msymmetric_type
% 0.46/0.63 Using role type
% 0.46/0.65 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.46/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.46/0.65 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2100440>, <kernel.DependentProduct object at 0x2100710>) of role type named mserial_type
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.46/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.46/0.65 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x21009e0>, <kernel.DependentProduct object at 0x2100f38>) of role type named mtransitive_type
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.46/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.46/0.65 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2100710>, <kernel.DependentProduct object at 0x20fbbd8>) of role type named meuclidean_type
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.46/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.46/0.65 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2100440>, <kernel.DependentProduct object at 0x20fbfc8>) of role type named mpartially_functional_type
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.46/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.46/0.65 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2100440>, <kernel.DependentProduct object at 0x20fbf38>) of role type named mfunctional_type
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65 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
% 0.46/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.46/0.66 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21009e0>, <kernel.DependentProduct object at 0x20fbbd8>) of role type named mweakly_dense_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.46/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.46/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.46/0.66 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x20fbbd8>, <kernel.DependentProduct object at 0x20fbea8>) of role type named mweakly_connected_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.46/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.46/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.46/0.66 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2104b90>, <kernel.DependentProduct object at 0x20fb1b8>) of role type named mweakly_directed_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.46/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.46/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.46/0.66 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2104170>, <kernel.DependentProduct object at 0x20fbcf8>) of role type named mvalid_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring mvalid:((fofType->Prop)->Prop)
% 0.46/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.46/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.46/0.66 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x20fb1b8>, <kernel.DependentProduct object at 0x2b3496a3b200>) of role type named minvalid_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring minvalid:((fofType->Prop)->Prop)
% 0.46/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.46/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.46/0.66 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x20fbbd8>, <kernel.DependentProduct object at 0x2b3496a3b5f0>) of role type named msatisfiable_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.46/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.46/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.46/0.66 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x20fbf38>, <kernel.DependentProduct object at 0x2b3496a3b5f0>) of role type named mcountersatisfiable_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.46/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.46/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.46/0.66 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.46/0.66 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^2.ax, trying next directory
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x239f9e0>, <kernel.DependentProduct object at 0x2b349e50e710>) of role type named rel_d_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring rel_d:(fofType->(fofType->Prop))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x239f9e0>, <kernel.DependentProduct object at 0x2100f80>) of role type named mbox_d_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring mbox_d:((fofType->Prop)->(fofType->Prop))
% 0.46/0.66 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
% 0.46/0.66 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)))))
% 0.46/0.66 Defined: mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2b349e50efc8>, <kernel.DependentProduct object at 0x2100830>) of role type named mdia_d_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring mdia_d:((fofType->Prop)->(fofType->Prop))
% 0.46/0.66 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))) of role definition named mdia_d
% 0.46/0.66 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))))
% 0.46/0.66 Defined: mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))
% 0.46/0.66 FOF formula (mserial rel_d) of role axiom named a1
% 0.46/0.66 A new axiom: (mserial rel_d)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2101d40>, <kernel.DependentProduct object at 0x21015f0>) of role type named p_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring p:(fofType->Prop)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21014d0>, <kernel.DependentProduct object at 0x2101440>) of role type named q_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring q:(fofType->Prop)
% 0.46/0.66 FOF formula (mvalid ((mimplies (mbox_d p)) (mdia_d ((mimplies q) p)))) of role conjecture named prove
% 0.46/0.66 Conjecture to prove = (mvalid ((mimplies (mbox_d p)) (mdia_d ((mimplies q) p)))):Prop
% 0.46/0.66 Parameter mu_DUMMY:mu.
% 0.46/0.66 Parameter fofType_DUMMY:fofType.
% 0.46/0.66 We need to prove ['(mvalid ((mimplies (mbox_d p)) (mdia_d ((mimplies q) p))))']
% 0.46/0.66 Parameter mu:Type.
% 0.46/0.66 Parameter fofType:Type.
% 0.46/0.66 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.46/0.66 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.46/0.67 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.67 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.67 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.67 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.67 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.46/0.67 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.46/0.67 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 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).
% 20.80/21.04 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 20.80/21.04 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 20.80/21.04 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 20.80/21.04 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 20.80/21.04 Parameter rel_d:(fofType->(fofType->Prop)).
% 20.80/21.04 Definition mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 20.80/21.04 Definition mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 20.80/21.04 Axiom a1:(mserial rel_d).
% 20.80/21.04 Parameter p:(fofType->Prop).
% 20.80/21.04 Parameter q:(fofType->Prop).
% 20.80/21.04 Trying to prove (mvalid ((mimplies (mbox_d p)) (mdia_d ((mimplies q) p))))
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(p V0))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(p V0))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of (((mnot ((mimplied p) q)) V0)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(p V0))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of (((mnot ((mimplied p) q)) V0)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(p V0))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:(p V0))=> x10) as proof of False
% 20.80/21.04 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 20.80/21.04 Found x10:False
% 20.80/21.04 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(p V0))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(p V0))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of (((mnot ((mimplied p) q)) V0)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of (((mnot ((mimplied p) q)) V0)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(p V0))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(p V0))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(p V0))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(p V0))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 36.83/37.09 Found x10:False
% 36.83/37.09 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 36.83/37.09 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 36.83/37.09 Found x10:False
% 58.80/59.07 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of False
% 58.80/59.07 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of (((mnot ((mimplied p) q)) V0)->False)
% 58.80/59.07 Found x10:False
% 58.80/59.07 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 58.80/59.07 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 58.80/59.07 Found x10:False
% 58.80/59.07 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 58.80/59.07 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 58.80/59.07 Found x10:False
% 58.80/59.07 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of False
% 58.80/59.07 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of (((mnot ((mimplied p) q)) V0)->False)
% 58.80/59.07 Found x10:False
% 58.80/59.07 Found (fun (x3:(p V0))=> x10) as proof of False
% 58.80/59.07 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 58.80/59.07 Found x30:False
% 58.80/59.07 Found (fun (x4:(q V))=> x30) as proof of False
% 58.80/59.07 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 58.80/59.07 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 58.80/59.07 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 58.80/59.07 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 58.80/59.07 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 58.80/59.07 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 58.80/59.07 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplies q) p) V0)
% 58.80/59.07 Found x30:False
% 58.80/59.07 Found (fun (x4:(q V))=> x30) as proof of False
% 58.80/59.07 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 58.80/59.07 Found x30:False
% 58.80/59.07 Found (fun (x4:(q V))=> x30) as proof of False
% 58.80/59.07 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 58.80/59.07 Found x30:False
% 58.80/59.07 Found (fun (x4:(q V))=> x30) as proof of False
% 58.80/59.07 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 58.80/59.07 Found x30:False
% 58.80/59.07 Found (fun (x4:(q V))=> x30) as proof of False
% 58.80/59.07 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 58.80/59.07 Found x10:False
% 58.80/59.07 Found (fun (x4:(q V0))=> x10) as proof of False
% 58.80/59.07 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 58.80/59.07 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 58.80/59.07 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplied p) q) V)
% 58.80/59.07 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 58.80/59.07 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 58.80/59.07 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplied p) q) V)
% 58.80/59.07 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 66.17/66.44 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 66.17/66.44 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 66.17/66.44 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 66.17/66.44 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplied p) q) V0)
% 66.17/66.44 Found x30:False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 66.17/66.44 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 66.17/66.44 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 66.17/66.44 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 66.17/66.44 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 66.17/66.44 Found x30:False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 66.17/66.44 Found x30:False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 66.17/66.44 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 66.17/66.44 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 66.17/66.44 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 66.17/66.44 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 66.17/66.44 Found x30:False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 66.17/66.44 Found x30:False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 66.17/66.44 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 66.17/66.44 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 66.17/66.44 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 66.17/66.44 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 66.17/66.44 Found x10:False
% 66.17/66.44 Found (fun (x4:(q V0))=> x10) as proof of False
% 66.17/66.44 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 66.17/66.44 Found (or_introl00 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 66.17/66.44 Found ((or_introl0 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 66.17/66.44 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 66.17/66.44 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 66.17/66.44 Found x30:False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 66.17/66.44 Found x10:False
% 66.17/66.44 Found (fun (x4:(q V0))=> x10) as proof of False
% 66.17/66.44 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 66.17/66.44 Found x30:False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of False
% 66.17/66.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 66.17/66.44 Found x30:False
% 66.17/66.44 Found (fun (x5:(p V1))=> x30) as proof of False
% 66.17/66.44 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 66.17/66.44 Found x30:False
% 66.17/66.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 66.17/66.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 66.17/66.44 Found x10:False
% 66.17/66.44 Found (fun (x5:(p V1))=> x10) as proof of False
% 66.17/66.44 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 66.17/66.44 Found x30:False
% 66.17/66.44 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 66.17/66.44 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 66.17/66.44 Found x30:False
% 66.17/66.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 66.17/66.44 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 66.17/66.44 Found x10:False
% 66.17/66.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 66.17/66.44 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 66.17/66.44 Found x10:False
% 66.17/66.44 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 66.17/66.44 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 70.39/70.67 Found x10:False
% 70.39/70.67 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 70.39/70.67 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 70.39/70.67 Found x10:False
% 70.39/70.67 Found (fun (x5:(p V1))=> x10) as proof of False
% 70.39/70.67 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 70.39/70.67 Found x30:False
% 70.39/70.67 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 70.39/70.67 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 70.39/70.67 Found x30:False
% 70.39/70.67 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 70.39/70.67 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 70.39/70.67 Found x10:False
% 70.39/70.67 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 70.39/70.67 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 70.39/70.67 Found x30:False
% 70.39/70.67 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 70.39/70.67 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 70.39/70.67 Found x30:False
% 70.39/70.67 Found (fun (x5:(p V1))=> x30) as proof of False
% 70.39/70.67 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 70.39/70.67 Found x10:False
% 70.39/70.67 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 70.39/70.67 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 70.39/70.67 Found x10:False
% 70.39/70.67 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 70.39/70.67 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 70.39/70.67 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 70.39/70.67 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 70.39/70.67 Found x30:False
% 70.39/70.67 Found (fun (x4:(q V))=> x30) as proof of False
% 70.39/70.67 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 70.39/70.67 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found x30:False
% 70.39/70.67 Found (fun (x4:(q V))=> x30) as proof of False
% 70.39/70.67 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 70.39/70.67 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 70.39/70.67 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 70.39/70.67 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 70.39/70.67 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 70.39/70.67 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 70.39/70.67 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 70.39/70.67 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 70.39/70.67 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplies q) p) V0)
% 70.39/70.67 Found x30:False
% 70.39/70.67 Found (fun (x4:(q V))=> x30) as proof of False
% 70.39/70.67 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 76.20/76.50 Found x30:False
% 76.20/76.50 Found (fun (x4:(q V))=> x30) as proof of False
% 76.20/76.50 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 76.20/76.50 Found x30:False
% 76.20/76.50 Found (fun (x4:(q V))=> x30) as proof of False
% 76.20/76.50 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 76.20/76.50 Found x30:False
% 76.20/76.50 Found (fun (x4:(q V))=> x30) as proof of False
% 76.20/76.50 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 76.20/76.50 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 76.20/76.50 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 76.20/76.50 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 76.20/76.50 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 76.20/76.50 Found x10:False
% 76.20/76.50 Found (fun (x4:(q V0))=> x10) as proof of False
% 76.20/76.50 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 76.20/76.50 Found (or_introl00 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 76.20/76.50 Found ((or_introl0 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 76.20/76.50 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 76.20/76.50 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 76.20/76.50 Found x10:False
% 76.20/76.50 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 76.20/76.50 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 76.20/76.50 Found x10:False
% 76.20/76.50 Found (fun (x3:(p V0))=> x10) as proof of False
% 76.20/76.50 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 76.20/76.50 Found x10:False
% 76.20/76.50 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 76.20/76.50 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 76.20/76.50 Found x10:False
% 76.20/76.50 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 76.20/76.50 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 76.20/76.50 Found x30:False
% 76.20/76.50 Found (fun (x4:(q V))=> x30) as proof of False
% 76.20/76.50 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 76.20/76.50 Found x30:False
% 76.20/76.50 Found (fun (x4:(q V))=> x30) as proof of False
% 76.20/76.50 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 76.20/76.50 Found x10:False
% 76.20/76.50 Found (fun (x4:(q V0))=> x10) as proof of False
% 76.20/76.50 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 76.20/76.50 Found x30:False
% 76.20/76.50 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 76.20/76.50 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 76.20/76.50 Found x30:False
% 76.20/76.50 Found (fun (x5:(p V1))=> x30) as proof of False
% 76.20/76.50 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 76.20/76.50 Found x10:False
% 76.20/76.50 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 76.20/76.50 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 76.20/76.50 Found x30:False
% 76.20/76.50 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 76.20/76.50 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 76.20/76.50 Found x10:False
% 76.20/76.50 Found (fun (x5:(p V1))=> x10) as proof of False
% 76.20/76.50 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 76.20/76.50 Found x30:False
% 76.20/76.50 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of False
% 76.20/76.50 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 76.20/76.50 Found x10:False
% 76.20/76.50 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of False
% 76.20/76.50 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 76.20/76.50 Found x10:False
% 76.20/76.50 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 76.20/76.50 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 76.20/76.50 Found x30:False
% 76.20/76.50 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 76.20/76.50 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 76.20/76.50 Found x10:False
% 76.20/76.50 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of False
% 76.20/76.50 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 76.20/76.50 Found x10:False
% 76.20/76.50 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 76.20/76.50 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 87.40/87.70 Found x30:False
% 87.40/87.70 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 87.40/87.70 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 87.40/87.70 Found x30:False
% 87.40/87.70 Found (fun (x5:(p V1))=> x30) as proof of False
% 87.40/87.70 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 87.40/87.70 Found x30:False
% 87.40/87.70 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of False
% 87.40/87.70 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 87.40/87.70 Found x10:False
% 87.40/87.70 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 87.40/87.70 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 87.40/87.70 Found x10:False
% 87.40/87.70 Found (fun (x5:(p V1))=> x10) as proof of False
% 87.40/87.70 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 87.40/87.70 Found x30:False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 87.40/87.70 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 87.40/87.70 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplied p) q) V)
% 87.40/87.70 Found x30:False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 87.40/87.70 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found x30:False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 87.40/87.70 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 87.40/87.70 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplied p) q) V)
% 87.40/87.70 Found x30:False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 87.40/87.70 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 87.40/87.70 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 87.40/87.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 87.40/87.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 87.40/87.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplied p) q) V0)
% 87.40/87.70 Found x30:False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 87.40/87.70 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 87.40/87.70 Found x30:False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 87.40/87.70 Found x30:False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 87.40/87.70 Found x30:False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 87.40/87.70 Found x30:False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of False
% 87.40/87.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 97.22/97.51 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 97.22/97.51 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 97.22/97.51 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 97.22/97.51 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 97.22/97.51 Found x10:False
% 97.22/97.51 Found (fun (x4:(q V0))=> x10) as proof of False
% 97.22/97.51 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 97.22/97.51 Found (or_introl10 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 97.22/97.51 Found ((or_introl1 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 97.22/97.51 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 97.22/97.51 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 97.22/97.51 Found x10:False
% 97.22/97.51 Found (fun (x3:(p V0))=> x10) as proof of False
% 97.22/97.51 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 97.22/97.51 Found x10:False
% 97.22/97.51 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 97.22/97.51 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 97.22/97.51 Found x30:False
% 97.22/97.51 Found (fun (x4:(q V))=> x30) as proof of False
% 97.22/97.51 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 97.22/97.51 Found x30:False
% 97.22/97.51 Found (fun (x4:(q V))=> x30) as proof of False
% 97.22/97.51 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 97.22/97.51 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 97.22/97.51 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 97.22/97.51 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 97.22/97.51 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 97.22/97.51 Found x10:False
% 97.22/97.51 Found (fun (x4:(q V0))=> x10) as proof of False
% 97.22/97.51 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 97.22/97.51 Found x10:False
% 97.22/97.51 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of False
% 97.22/97.51 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of (((mnot ((mimplied p) q)) V0)->False)
% 97.22/97.51 Found x10:False
% 97.22/97.51 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 97.22/97.51 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 97.22/97.51 Found x30:False
% 97.22/97.51 Found (fun (x4:(q V))=> x30) as proof of False
% 97.22/97.51 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 97.22/97.51 Found x30:False
% 97.22/97.51 Found (fun (x4:(q V))=> x30) as proof of False
% 97.22/97.51 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 97.22/97.51 Found x10:False
% 97.22/97.51 Found (fun (x4:(q V0))=> x10) as proof of False
% 97.22/97.51 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 97.22/97.51 Found x30:False
% 97.22/97.51 Found (fun (x5:(p V1))=> x30) as proof of False
% 97.22/97.51 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 97.22/97.51 Found x30:False
% 97.22/97.51 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 97.22/97.51 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 97.22/97.51 Found x30:False
% 97.22/97.51 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 97.22/97.51 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 97.22/97.51 Found x30:False
% 97.22/97.51 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 97.22/97.51 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 97.22/97.51 Found x10:False
% 97.22/97.51 Found (fun (x5:(p V1))=> x10) as proof of False
% 97.22/97.51 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 97.22/97.51 Found x10:False
% 97.22/97.51 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 97.22/97.51 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 97.22/97.51 Found x10:False
% 97.22/97.51 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 97.22/97.51 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 97.22/97.51 Found x10:False
% 97.22/97.51 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 97.22/97.51 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 97.22/97.51 Found x30:False
% 97.22/97.51 Found (fun (x4:(q V))=> x30) as proof of False
% 97.22/97.51 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 97.22/97.51 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 105.35/105.63 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 105.35/105.63 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 105.35/105.63 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 105.35/105.63 Found x10:False
% 105.35/105.63 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 105.35/105.63 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 105.35/105.63 Found x30:False
% 105.35/105.63 Found (fun (x5:(p V1))=> x30) as proof of False
% 105.35/105.63 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 105.35/105.63 Found x30:False
% 105.35/105.63 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 105.35/105.63 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 105.35/105.63 Found x30:False
% 105.35/105.63 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 105.35/105.63 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 105.35/105.63 Found x10:False
% 105.35/105.63 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 105.35/105.63 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 105.35/105.63 Found x10:False
% 105.35/105.63 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 105.35/105.63 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 105.35/105.63 Found x30:False
% 105.35/105.63 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 105.35/105.63 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 105.35/105.63 Found x10:False
% 105.35/105.63 Found (fun (x5:(p V1))=> x10) as proof of False
% 105.35/105.63 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 105.35/105.63 Found x30:False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 105.35/105.63 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 105.35/105.63 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 105.35/105.63 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 105.35/105.63 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 105.35/105.63 Found x30:False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 105.35/105.63 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 105.35/105.63 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 105.35/105.63 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 105.35/105.63 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 105.35/105.63 Found x30:False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 105.35/105.63 Found x30:False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 105.35/105.63 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 105.35/105.63 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 105.35/105.63 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 105.35/105.63 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 105.35/105.63 Found x30:False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 105.35/105.63 Found x10:False
% 105.35/105.63 Found (fun (x3:(p V0))=> x10) as proof of False
% 105.35/105.63 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 105.35/105.63 Found x10:False
% 105.35/105.63 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 105.35/105.63 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 105.35/105.63 Found x30:False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 105.35/105.63 Found x30:False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of False
% 105.35/105.63 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 105.35/105.63 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 105.35/105.63 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 105.35/105.63 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 114.31/114.60 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 114.31/114.60 Found x10:False
% 114.31/114.60 Found (fun (x4:(q V0))=> x10) as proof of False
% 114.31/114.60 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 114.31/114.60 Found (or_introl10 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 114.31/114.60 Found ((or_introl1 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 114.31/114.60 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 114.31/114.60 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 114.31/114.60 Found x10:False
% 114.31/114.60 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 114.31/114.60 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 114.31/114.60 Found x10:False
% 114.31/114.60 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 114.31/114.60 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 114.31/114.60 Found x30:False
% 114.31/114.60 Found (fun (x4:(q V))=> x30) as proof of False
% 114.31/114.60 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 114.31/114.60 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 114.31/114.60 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 114.31/114.60 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 114.31/114.60 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 114.31/114.60 Found x30:False
% 114.31/114.60 Found (fun (x4:(q V))=> x30) as proof of False
% 114.31/114.60 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 114.31/114.60 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 114.31/114.60 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 114.31/114.60 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 114.31/114.60 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 114.31/114.60 Found x10:False
% 114.31/114.60 Found (fun (x4:(q V0))=> x10) as proof of False
% 114.31/114.60 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 114.31/114.60 Found (or_intror10 (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 114.31/114.60 Found ((or_intror1 ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 114.31/114.60 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 114.31/114.60 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 114.31/114.60 Found x30:False
% 114.31/114.60 Found (fun (x4:(q V))=> x30) as proof of False
% 114.31/114.60 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 114.31/114.60 Found x10:False
% 114.31/114.60 Found (fun (x4:(q V0))=> x10) as proof of False
% 114.31/114.60 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 114.31/114.60 Found x30:False
% 114.31/114.60 Found (fun (x4:(q V))=> x30) as proof of False
% 114.31/114.60 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 114.31/114.60 Found x30:False
% 114.31/114.60 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 114.31/114.60 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 114.31/114.60 Found x30:False
% 114.31/114.60 Found (fun (x5:(p V1))=> x30) as proof of False
% 114.31/114.60 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 114.31/114.60 Found x10:False
% 114.31/114.60 Found (fun (x5:(p V1))=> x10) as proof of False
% 114.31/114.60 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 114.31/114.60 Found x30:False
% 114.31/114.60 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 114.31/114.60 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 114.31/114.60 Found x30:False
% 114.31/114.60 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of False
% 114.31/114.60 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 114.31/114.60 Found x10:False
% 114.31/114.60 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 114.31/114.60 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 114.31/114.60 Found x10:False
% 114.31/114.60 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of False
% 114.31/114.60 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 114.31/114.60 Found x10:False
% 114.31/114.60 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 127.57/127.91 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 127.57/127.91 Found x10:False
% 127.57/127.91 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of False
% 127.57/127.91 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 127.57/127.91 Found x10:False
% 127.57/127.91 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 127.57/127.91 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 127.57/127.91 Found x30:False
% 127.57/127.91 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 127.57/127.91 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 127.57/127.91 Found x10:False
% 127.57/127.91 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 127.57/127.91 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 127.57/127.91 Found x30:False
% 127.57/127.91 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 127.57/127.91 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 127.57/127.91 Found x30:False
% 127.57/127.91 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of False
% 127.57/127.91 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 127.57/127.91 Found x30:False
% 127.57/127.91 Found (fun (x5:(p V1))=> x30) as proof of False
% 127.57/127.91 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 127.57/127.91 Found x10:False
% 127.57/127.91 Found (fun (x5:(p V1))=> x10) as proof of False
% 127.57/127.91 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 127.57/127.91 Found x30:False
% 127.57/127.91 Found (fun (x4:(q V))=> x30) as proof of False
% 127.57/127.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 127.57/127.91 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 127.57/127.91 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 127.57/127.91 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 127.57/127.91 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 127.57/127.91 Found x30:False
% 127.57/127.91 Found (fun (x4:(q V))=> x30) as proof of False
% 127.57/127.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 127.57/127.91 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 127.57/127.91 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 127.57/127.91 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 127.57/127.91 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 127.57/127.91 Found x30:False
% 127.57/127.91 Found (fun (x4:(q V))=> x30) as proof of False
% 127.57/127.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 127.57/127.91 Found x10:False
% 127.57/127.91 Found (fun (x3:(p V0))=> x10) as proof of False
% 127.57/127.91 Found (fun (x3:(p V0))=> x10) as proof of ((p V0)->False)
% 127.57/127.91 Found x10:False
% 127.57/127.91 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 127.57/127.91 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 127.57/127.91 Found x30:False
% 127.57/127.91 Found (fun (x4:(q V))=> x30) as proof of False
% 127.57/127.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 127.57/127.91 Found x30:False
% 127.57/127.91 Found (fun (x4:(q V))=> x30) as proof of False
% 127.57/127.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 127.57/127.91 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 127.57/127.91 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 127.57/127.91 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 127.57/127.91 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 127.57/127.91 Found x10:False
% 127.57/127.91 Found (fun (x4:(q V0))=> x10) as proof of False
% 127.57/127.91 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 127.57/127.91 Found (or_intror10 (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 127.57/127.91 Found ((or_intror1 ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 127.57/127.91 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 127.57/127.91 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 127.57/127.91 Found x10:False
% 127.57/127.91 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of False
% 127.57/127.91 Found (fun (x3:((mnot ((mimplied p) q)) V0))=> x10) as proof of (((mnot ((mimplied p) q)) V0)->False)
% 153.71/154.06 Found x10:False
% 153.71/154.06 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 153.71/154.06 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 153.71/154.06 Found x30:False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 153.71/154.06 Found x30:False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 153.71/154.06 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found x30:False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 153.71/154.06 Found x10:False
% 153.71/154.06 Found (fun (x4:(q V0))=> x10) as proof of False
% 153.71/154.06 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 153.71/154.06 Found x30:False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 153.71/154.06 Found x30:False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 153.71/154.06 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found x30:False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 153.71/154.06 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found x30:False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 153.71/154.06 Found x30:False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 153.71/154.06 Found x30:False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 153.71/154.06 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found x10:False
% 153.71/154.06 Found (fun (x4:(q V0))=> x10) as proof of False
% 153.71/154.06 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 153.71/154.06 Found (or_intror00 (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 153.71/154.06 Found ((or_intror0 ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 153.71/154.06 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 153.71/154.06 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 153.71/154.06 Found x30:False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 153.71/154.06 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 153.71/154.06 Found x30:False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of False
% 153.71/154.06 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 153.71/154.06 Found x30:False
% 165.21/165.51 Found (fun (x4:(q V))=> x30) as proof of False
% 165.21/165.51 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 165.21/165.51 Found x10:False
% 165.21/165.51 Found (fun (x4:(q V0))=> x10) as proof of False
% 165.21/165.51 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 165.21/165.51 Found x30:False
% 165.21/165.51 Found (fun (x4:(q V))=> x30) as proof of False
% 165.21/165.51 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 165.21/165.51 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 165.21/165.51 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 165.21/165.51 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 165.21/165.51 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 165.21/165.51 Found x30:False
% 165.21/165.51 Found (fun (x4:(q V))=> x30) as proof of False
% 165.21/165.51 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 165.21/165.51 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 165.21/165.51 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 165.21/165.51 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 165.21/165.51 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplies q) p) V0)
% 165.21/165.51 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 165.21/165.51 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 165.21/165.51 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 165.21/165.51 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 165.21/165.51 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplies q) p) V0)
% 165.21/165.51 Found x30:False
% 165.21/165.51 Found (fun (x4:(q V))=> x30) as proof of False
% 165.21/165.51 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 165.21/165.51 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 165.21/165.51 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 165.21/165.51 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 165.21/165.51 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 165.21/165.51 Found x30:False
% 165.21/165.51 Found (fun (x4:(q V))=> x30) as proof of False
% 165.21/165.51 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 165.21/165.51 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 166.57/166.92 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 166.57/166.92 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 166.57/166.92 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 166.57/166.92 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 166.57/166.92 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 166.57/166.92 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 166.57/166.92 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 166.57/166.92 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)
% 166.57/166.92 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))
% 166.57/166.92 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 166.57/166.92 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:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 166.57/166.92 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (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:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 166.57/166.92 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 166.57/166.92 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 166.57/166.92 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 166.57/166.92 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 166.57/166.92 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mimplies q) p)) V1)->((rel_d W) V))
% 166.57/166.92 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 166.57/166.92 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 166.57/166.92 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 166.57/166.92 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)
% 166.57/166.92 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))
% 166.57/166.92 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 166.57/166.92 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 166.57/166.92 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mimplies q) p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mimplies q) p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 166.57/166.92 Found x30:False
% 166.57/166.92 Found (fun (x4:(q V))=> x30) as proof of False
% 166.57/166.92 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 166.57/166.92 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 166.57/166.92 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 166.57/166.92 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 166.57/166.92 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 166.57/166.92 Found x30:False
% 166.57/166.92 Found (fun (x4:(q V))=> x30) as proof of False
% 172.41/172.73 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 172.41/172.73 Found x30:False
% 172.41/172.73 Found (fun (x4:(q V))=> x30) as proof of False
% 172.41/172.73 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 172.41/172.73 Found x30:False
% 172.41/172.73 Found (fun (x4:(q V))=> x30) as proof of False
% 172.41/172.73 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 172.41/172.73 Found x30:False
% 172.41/172.73 Found (fun (x4:(q V))=> x30) as proof of False
% 172.41/172.73 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 172.41/172.73 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 172.41/172.73 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 172.41/172.73 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 172.41/172.73 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 172.41/172.73 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 172.41/172.73 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 172.41/172.73 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 172.41/172.73 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 172.41/172.73 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)
% 172.41/172.73 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))
% 172.41/172.73 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 172.41/172.73 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:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 172.41/172.73 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (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:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 172.41/172.73 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 172.41/172.73 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 172.41/172.73 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 172.41/172.73 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 172.41/172.73 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mimplies q) p)) V1)->((rel_d W) V))
% 172.41/172.73 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 172.41/172.73 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 172.41/172.73 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 172.41/172.73 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)
% 172.41/172.73 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))
% 172.41/172.73 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 172.41/172.73 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 172.41/172.73 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mimplies q) p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mimplies q) p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 172.41/172.73 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 172.41/172.73 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 172.91/173.23 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 172.91/173.23 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 172.91/173.23 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 172.91/173.23 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 172.91/173.23 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 172.91/173.23 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 172.91/173.23 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)
% 172.91/173.23 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))
% 172.91/173.23 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 172.91/173.24 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:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 172.91/173.24 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (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:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 172.91/173.24 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 172.91/173.24 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 172.91/173.24 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 172.91/173.24 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 172.91/173.24 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot ((mimplies q) p)) V1)->((rel_d W) V0))
% 172.91/173.24 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 172.91/173.24 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 172.91/173.24 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 172.91/173.24 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)
% 172.91/173.24 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))
% 172.91/173.24 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 172.91/173.24 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 172.91/173.24 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mimplies q) p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mimplies q) p)) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 172.91/173.24 Found x30:False
% 172.91/173.24 Found (fun (x4:(q V))=> x30) as proof of False
% 172.91/173.24 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 172.91/173.24 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 172.91/173.24 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 172.91/173.24 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 172.91/173.24 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 172.91/173.24 Found x10:False
% 172.91/173.24 Found (fun (x4:(q V0))=> x10) as proof of False
% 172.91/173.24 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 185.05/185.37 Found (or_intror00 (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 185.05/185.37 Found ((or_intror0 ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 185.05/185.37 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 185.05/185.37 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 185.05/185.37 Found x30:False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 185.05/185.37 Found x30:False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 185.05/185.37 Found x10:False
% 185.05/185.37 Found (fun (x4:(q V0))=> x10) as proof of False
% 185.05/185.37 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 185.05/185.37 Found x30:False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 185.05/185.37 Found x30:False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 185.05/185.37 Found x10:False
% 185.05/185.37 Found (fun (x4:(q V0))=> x10) as proof of False
% 185.05/185.37 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 185.05/185.37 Found x30:False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 185.05/185.37 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 185.05/185.37 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 185.05/185.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 185.05/185.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 185.05/185.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplied p) q) V)
% 185.05/185.37 Found x30:False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 185.05/185.37 Found x30:False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 185.05/185.37 Found x10:False
% 185.05/185.37 Found (fun (x4:(q V0))=> x10) as proof of False
% 185.05/185.37 Found (fun (x4:(q V0))=> x10) as proof of ((q V0)->False)
% 185.05/185.37 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 185.05/185.37 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 185.05/185.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 185.05/185.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 185.05/185.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplied p) q) V)
% 185.05/185.37 Found x30:False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of False
% 185.05/185.37 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 185.05/185.37 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 185.05/185.37 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 185.05/185.37 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 185.05/185.37 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 185.05/185.37 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 185.05/185.37 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 185.05/185.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 185.05/185.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 185.05/185.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplied p) q) V)
% 185.05/185.37 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 185.05/185.37 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 185.05/185.37 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 185.05/185.37 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 185.05/185.37 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplied p) q) V0)
% 189.40/189.72 Found x30:False
% 189.40/189.72 Found (fun (x4:(q V))=> x30) as proof of False
% 189.40/189.72 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 189.40/189.72 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 189.40/189.72 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplied p) q) V)
% 189.40/189.72 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 189.40/189.72 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 189.40/189.72 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 189.40/189.72 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 189.40/189.72 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplied p) q) V0)
% 189.40/189.72 Found x30:False
% 189.40/189.72 Found (fun (x4:(q V))=> x30) as proof of False
% 189.40/189.72 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 189.40/189.72 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found x30:False
% 189.40/189.72 Found (fun (x4:(q V))=> x30) as proof of False
% 189.40/189.72 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 189.40/189.72 Found x30:False
% 189.40/189.72 Found (fun (x4:(q V))=> x30) as proof of False
% 189.40/189.72 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 189.40/189.72 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 189.40/189.72 Found False_rect00:=(False_rect0 ((rel_d S) V)):((rel_d S) V)
% 189.40/189.72 Found (False_rect0 ((rel_d S) V)) as proof of ((rel_d S) V)
% 189.40/189.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)) as proof of ((rel_d S) V)
% 189.40/189.72 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((rel_d S) V)
% 189.40/189.72 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((p V1)->((rel_d S) V))
% 189.40/189.72 Found False_rect00:=(False_rect0 ((rel_d S) V)):((rel_d S) V)
% 189.40/189.72 Found (False_rect0 ((rel_d S) V)) as proof of ((rel_d S) V)
% 189.40/189.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)) as proof of ((rel_d S) V)
% 189.40/189.72 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((rel_d S) V)
% 189.40/189.72 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((((rel_d S) V1)->False)->((rel_d S) V))
% 189.40/189.72 Found ((or_ind20 (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 189.40/189.72 Found (((or_ind2 ((rel_d S) V)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 189.40/189.72 Found ((((fun (P:Prop) (x5:((((rel_d S) V1)->False)->P)) (x6:((p V1)->P))=> ((((((or_ind (((rel_d S) V1)->False)) (p V1)) P) x5) x6) x4)) ((rel_d S) V)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 197.56/197.87 Found False_rect00:=(False_rect0 ((rel_d S) V)):((rel_d S) V)
% 197.56/197.87 Found (False_rect0 ((rel_d S) V)) as proof of ((rel_d S) V)
% 197.56/197.87 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)) as proof of ((rel_d S) V)
% 197.56/197.87 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((rel_d S) V)
% 197.56/197.87 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of (((mnot ((mimplied p) q)) V1)->((rel_d S) V))
% 197.56/197.87 Found False_rect00:=(False_rect0 ((rel_d S) V)):((rel_d S) V)
% 197.56/197.87 Found (False_rect0 ((rel_d S) V)) as proof of ((rel_d S) V)
% 197.56/197.87 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)) as proof of ((rel_d S) V)
% 197.56/197.87 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((rel_d S) V)
% 197.56/197.87 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((((rel_d S) V1)->False)->((rel_d S) V))
% 197.56/197.87 Found ((or_ind20 (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 197.56/197.87 Found (((or_ind2 ((rel_d S) V)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 197.56/197.87 Found ((((fun (P:Prop) (x5:((((rel_d S) V1)->False)->P)) (x6:(((mnot ((mimplied p) q)) V1)->P))=> ((((((or_ind (((rel_d S) V1)->False)) ((mnot ((mimplied p) q)) V1)) P) x5) x6) x4)) ((rel_d S) V)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 197.56/197.87 Found x30:False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 197.56/197.87 Found x30:False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 197.56/197.87 Found x30:False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 197.56/197.87 Found x30:False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 197.56/197.87 Found x30:False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 197.56/197.87 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.56/197.87 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.56/197.87 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.56/197.87 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.56/197.87 Found x10:False
% 197.56/197.87 Found (fun (x4:(q V0))=> x10) as proof of False
% 197.56/197.87 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 197.56/197.87 Found (or_introl00 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 197.56/197.87 Found ((or_introl0 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 197.56/197.87 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 197.56/197.87 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 197.56/197.87 Found x30:False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 197.56/197.87 Found x30:False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of False
% 197.56/197.87 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 197.56/197.87 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.56/197.87 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.56/197.87 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.56/197.87 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 199.64/200.01 Found x10:False
% 199.64/200.01 Found (fun (x4:(q V0))=> x10) as proof of False
% 199.64/200.01 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 199.64/200.01 Found (or_introl00 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 199.64/200.01 Found ((or_introl0 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 199.64/200.01 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 199.64/200.01 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 199.64/200.01 Found False_rect00:=(False_rect0 ((rel_d S) V)):((rel_d S) V)
% 199.64/200.01 Found (False_rect0 ((rel_d S) V)) as proof of ((rel_d S) V)
% 199.64/200.01 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)) as proof of ((rel_d S) V)
% 199.64/200.01 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((rel_d S) V)
% 199.64/200.01 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of (((mnot ((mimplied p) q)) V1)->((rel_d S) V))
% 199.64/200.01 Found False_rect00:=(False_rect0 ((rel_d S) V)):((rel_d S) V)
% 199.64/200.01 Found (False_rect0 ((rel_d S) V)) as proof of ((rel_d S) V)
% 199.64/200.01 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)) as proof of ((rel_d S) V)
% 199.64/200.01 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((rel_d S) V)
% 199.64/200.01 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((((rel_d S) V1)->False)->((rel_d S) V))
% 199.64/200.01 Found ((or_ind20 (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 199.64/200.01 Found (((or_ind2 ((rel_d S) V)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 199.64/200.01 Found ((((fun (P:Prop) (x5:((((rel_d S) V1)->False)->P)) (x6:(((mnot ((mimplied p) q)) V1)->P))=> ((((((or_ind (((rel_d S) V1)->False)) ((mnot ((mimplied p) q)) V1)) P) x5) x6) x4)) ((rel_d S) V)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 199.64/200.01 Found False_rect00:=(False_rect0 ((rel_d S) V)):((rel_d S) V)
% 199.64/200.01 Found (False_rect0 ((rel_d S) V)) as proof of ((rel_d S) V)
% 199.64/200.01 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)) as proof of ((rel_d S) V)
% 199.64/200.01 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((rel_d S) V)
% 199.64/200.01 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((p V1)->((rel_d S) V))
% 199.64/200.01 Found False_rect00:=(False_rect0 ((rel_d S) V)):((rel_d S) V)
% 199.64/200.01 Found (False_rect0 ((rel_d S) V)) as proof of ((rel_d S) V)
% 199.64/200.01 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)) as proof of ((rel_d S) V)
% 199.64/200.01 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((rel_d S) V)
% 199.64/200.01 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((((rel_d S) V1)->False)->((rel_d S) V))
% 199.64/200.01 Found ((or_ind20 (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 199.64/200.01 Found (((or_ind2 ((rel_d S) V)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 199.64/200.01 Found ((((fun (P:Prop) (x5:((((rel_d S) V1)->False)->P)) (x6:((p V1)->P))=> ((((((or_ind (((rel_d S) V1)->False)) (p V1)) P) x5) x6) x4)) ((rel_d S) V)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 207.03/207.38 Found False_rect00:=(False_rect0 ((rel_d S) V0)):((rel_d S) V0)
% 207.03/207.38 Found (False_rect0 ((rel_d S) V0)) as proof of ((rel_d S) V0)
% 207.03/207.38 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)) as proof of ((rel_d S) V0)
% 207.03/207.38 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0))) as proof of ((rel_d S) V0)
% 207.03/207.38 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0))) as proof of (((mnot ((mimplied p) q)) V1)->((rel_d S) V0))
% 207.03/207.38 Found False_rect00:=(False_rect0 ((rel_d S) V0)):((rel_d S) V0)
% 207.03/207.38 Found (False_rect0 ((rel_d S) V0)) as proof of ((rel_d S) V0)
% 207.03/207.38 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)) as proof of ((rel_d S) V0)
% 207.03/207.38 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0))) as proof of ((rel_d S) V0)
% 207.03/207.38 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0))) as proof of ((((rel_d S) V1)->False)->((rel_d S) V0))
% 207.03/207.38 Found ((or_ind20 (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)))) (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)))) as proof of ((rel_d S) V0)
% 207.03/207.38 Found (((or_ind2 ((rel_d S) V0)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)))) (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)))) as proof of ((rel_d S) V0)
% 207.03/207.38 Found ((((fun (P:Prop) (x5:((((rel_d S) V1)->False)->P)) (x6:(((mnot ((mimplied p) q)) V1)->P))=> ((((((or_ind (((rel_d S) V1)->False)) ((mnot ((mimplied p) q)) V1)) P) x5) x6) x4)) ((rel_d S) V0)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)))) (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)))) as proof of ((rel_d S) V0)
% 207.03/207.38 Found False_rect00:=(False_rect0 ((rel_d S) V0)):((rel_d S) V0)
% 207.03/207.38 Found (False_rect0 ((rel_d S) V0)) as proof of ((rel_d S) V0)
% 207.03/207.38 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)) as proof of ((rel_d S) V0)
% 207.03/207.38 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0))) as proof of ((rel_d S) V0)
% 207.03/207.38 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0))) as proof of ((p V1)->((rel_d S) V0))
% 207.03/207.38 Found False_rect00:=(False_rect0 ((rel_d S) V0)):((rel_d S) V0)
% 207.03/207.38 Found (False_rect0 ((rel_d S) V0)) as proof of ((rel_d S) V0)
% 207.03/207.38 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)) as proof of ((rel_d S) V0)
% 207.03/207.38 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0))) as proof of ((rel_d S) V0)
% 207.03/207.38 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0))) as proof of ((((rel_d S) V1)->False)->((rel_d S) V0))
% 207.03/207.38 Found ((or_ind20 (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)))) as proof of ((rel_d S) V0)
% 207.03/207.38 Found (((or_ind2 ((rel_d S) V0)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)))) as proof of ((rel_d S) V0)
% 207.03/207.38 Found ((((fun (P:Prop) (x5:((((rel_d S) V1)->False)->P)) (x6:((p V1)->P))=> ((((((or_ind (((rel_d S) V1)->False)) (p V1)) P) x5) x6) x4)) ((rel_d S) V0)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d S) V0)))) as proof of ((rel_d S) V0)
% 207.03/207.38 Found x30:False
% 207.03/207.38 Found (fun (x4:(q V))=> x30) as proof of False
% 207.03/207.38 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 207.03/207.38 Found x10:False
% 207.03/207.38 Found (fun (x4:(q V0))=> x10) as proof of False
% 207.03/207.38 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 207.03/207.38 Found x30:False
% 207.03/207.38 Found (fun (x4:(q V))=> x30) as proof of False
% 207.03/207.38 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 207.03/207.38 Found x30:False
% 207.03/207.38 Found (fun (x4:(q V))=> x30) as proof of False
% 207.03/207.38 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x4:(q V0))=> x10) as proof of False
% 209.78/210.16 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 209.78/210.16 Found x30:False
% 209.78/210.16 Found (fun (x4:(q V))=> x30) as proof of False
% 209.78/210.16 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 209.78/210.16 Found x30:False
% 209.78/210.16 Found (fun (x5:(p V1))=> x30) as proof of False
% 209.78/210.16 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 209.78/210.16 Found x30:False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 209.78/210.16 Found x30:False
% 209.78/210.16 Found (fun (x4:(q V))=> x30) as proof of False
% 209.78/210.16 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 209.78/210.16 Found x30:False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 209.78/210.16 Found x30:False
% 209.78/210.16 Found (fun (x5:(p V1))=> x30) as proof of False
% 209.78/210.16 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x5:(p V1))=> x10) as proof of False
% 209.78/210.16 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x4:(q V0))=> x10) as proof of False
% 209.78/210.16 Found (fun (x4:(q V0))=> x10) as proof of ((q V0)->False)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x5:(p V1))=> x10) as proof of False
% 209.78/210.16 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 209.78/210.16 Found x30:False
% 209.78/210.16 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 209.78/210.16 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 209.78/210.16 Found x30:False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 209.78/210.16 Found x30:False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 209.78/210.16 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 209.78/210.16 Found x30:False
% 209.78/210.16 Found (fun (x5:(p V1))=> x30) as proof of False
% 209.78/210.16 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x5:(p V1))=> x10) as proof of False
% 209.78/210.16 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x5:(p V1))=> x10) as proof of False
% 209.78/210.16 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 209.78/210.16 Found x30:False
% 209.78/210.16 Found (fun (x5:(p V1))=> x30) as proof of False
% 209.78/210.16 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 209.78/210.16 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 209.78/210.16 Found x10:False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 209.78/210.16 Found x30:False
% 209.78/210.16 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 209.78/210.16 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 209.78/210.16 Found x30:False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 209.78/210.16 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 218.34/218.72 Found x30:False
% 218.34/218.72 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 218.34/218.72 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 218.34/218.72 Found x30:False
% 218.34/218.72 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 218.34/218.72 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 218.34/218.72 Found x30:False
% 218.34/218.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 218.34/218.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 218.34/218.72 Found x10:False
% 218.34/218.72 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 218.34/218.72 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 218.34/218.72 Found x10:False
% 218.34/218.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 218.34/218.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 218.34/218.72 Found x30:False
% 218.34/218.72 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 218.34/218.72 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 218.34/218.72 Found x10:False
% 218.34/218.72 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 218.34/218.72 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 218.34/218.72 Found x30:False
% 218.34/218.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 218.34/218.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 218.34/218.72 Found x10:False
% 218.34/218.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 218.34/218.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 218.34/218.72 Found x30:False
% 218.34/218.72 Found (fun (x4:(q V))=> x30) as proof of False
% 218.34/218.72 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 218.34/218.72 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 218.34/218.72 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 218.34/218.72 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 218.34/218.72 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 218.34/218.72 Found x30:False
% 218.34/218.72 Found (fun (x4:(q V))=> x30) as proof of False
% 218.34/218.72 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 218.34/218.72 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found x30:False
% 218.34/218.72 Found (fun (x4:(q V))=> x30) as proof of False
% 218.34/218.72 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 218.34/218.72 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found x30:False
% 218.34/218.72 Found (fun (x4:(q V))=> x30) as proof of False
% 218.34/218.72 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 218.34/218.72 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 218.34/218.72 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 228.55/228.92 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 228.55/228.92 Found x30:False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 228.55/228.92 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 228.55/228.92 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 228.55/228.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 228.55/228.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 228.55/228.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplies q) p) V0)
% 228.55/228.92 Found x30:False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 228.55/228.92 Found x30:False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 228.55/228.92 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 228.55/228.92 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 228.55/228.92 Found x30:False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 228.55/228.92 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 228.55/228.92 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 228.55/228.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 228.55/228.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 228.55/228.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplies q) p) V0)
% 228.55/228.92 Found x30:False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 228.55/228.92 Found x30:False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 228.55/228.92 Found x30:False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of False
% 228.55/228.92 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 228.55/228.92 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 228.55/228.92 Found x10:False
% 228.55/228.92 Found (fun (x4:(q V0))=> x10) as proof of False
% 228.55/228.92 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 228.55/228.92 Found (or_introl00 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 228.55/228.92 Found ((or_introl0 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 228.55/228.92 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 243.82/244.18 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 243.82/244.18 Found x30:False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 243.82/244.18 Found x30:False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 243.82/244.18 Found x30:False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 243.82/244.18 Found x30:False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 243.82/244.18 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 243.82/244.18 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 243.82/244.18 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 243.82/244.18 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 243.82/244.18 Found x10:False
% 243.82/244.18 Found (fun (x4:(q V0))=> x10) as proof of False
% 243.82/244.18 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 243.82/244.18 Found (or_introl00 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 243.82/244.18 Found ((or_introl0 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 243.82/244.18 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 243.82/244.18 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 243.82/244.18 Found x30:False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 243.82/244.18 Found x30:False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 243.82/244.18 Found x10:False
% 243.82/244.18 Found (fun (x4:(q V0))=> x10) as proof of False
% 243.82/244.18 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 243.82/244.18 Found x30:False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 243.82/244.18 Found x30:False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 243.82/244.18 Found x10:False
% 243.82/244.18 Found (fun (x4:(q V0))=> x10) as proof of False
% 243.82/244.18 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 243.82/244.18 Found x30:False
% 243.82/244.18 Found (fun (x5:(p V1))=> x30) as proof of False
% 243.82/244.18 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 243.82/244.18 Found x30:False
% 243.82/244.18 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 243.82/244.18 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 243.82/244.18 Found x10:False
% 243.82/244.18 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 243.82/244.18 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 243.82/244.18 Found x10:False
% 243.82/244.18 Found (fun (x5:(p V1))=> x10) as proof of False
% 243.82/244.18 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 243.82/244.18 Found x30:False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of False
% 243.82/244.18 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 243.82/244.18 Found x30:False
% 243.82/244.18 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 243.82/244.18 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 243.82/244.18 Found x10:False
% 243.82/244.18 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 243.82/244.18 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 243.82/244.18 Found x30:False
% 243.82/244.18 Found (fun (x5:(p V1))=> x30) as proof of False
% 243.82/244.18 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 243.82/244.18 Found x10:False
% 243.82/244.18 Found (fun (x5:(p V1))=> x10) as proof of False
% 243.82/244.18 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 243.82/244.18 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 243.82/244.18 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 243.82/244.18 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 243.82/244.18 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 243.82/244.18 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mimplies q) p)) V1)->((rel_d W) V))
% 243.82/244.18 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 243.82/244.18 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 245.46/245.85 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 245.46/245.85 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)
% 245.46/245.85 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))
% 245.46/245.85 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 245.46/245.85 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 245.46/245.85 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mimplies q) p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mimplies q) p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 245.46/245.85 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 245.46/245.85 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 245.46/245.85 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 245.46/245.85 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 245.46/245.85 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 245.46/245.85 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 245.46/245.85 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 245.46/245.85 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 245.46/245.85 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)
% 245.46/245.85 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))
% 245.46/245.85 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 245.46/245.85 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:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 245.46/245.85 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (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:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 245.46/245.85 Found x30:False
% 245.46/245.85 Found (fun (x4:(q V))=> x30) as proof of False
% 245.46/245.85 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 245.46/245.85 Found x30:False
% 245.46/245.85 Found (fun (x4:(q V))=> x30) as proof of False
% 245.46/245.85 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 245.46/245.85 Found x30:False
% 245.46/245.85 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 245.46/245.85 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 245.46/245.85 Found x30:False
% 245.46/245.85 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of False
% 245.46/245.85 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 245.46/245.85 Found x10:False
% 245.46/245.85 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 245.46/245.85 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 245.46/245.85 Found x10:False
% 245.46/245.85 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of False
% 245.46/245.85 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 245.46/245.85 Found x30:False
% 245.46/245.85 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 245.46/245.85 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 245.46/245.85 Found x10:False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 253.17/253.59 Found x10:False
% 253.17/253.59 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of False
% 253.17/253.59 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 253.17/253.59 Found x30:False
% 253.17/253.59 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of False
% 253.17/253.59 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 253.17/253.59 Found x30:False
% 253.17/253.59 Found (fun (x4:(q V))=> x30) as proof of False
% 253.17/253.59 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 253.17/253.59 Found x30:False
% 253.17/253.59 Found (fun (x4:(q V))=> x30) as proof of False
% 253.17/253.59 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 253.17/253.59 Found x10:False
% 253.17/253.59 Found (fun (x4:(q V0))=> x10) as proof of False
% 253.17/253.59 Found (fun (x4:(q V0))=> x10) as proof of ((q V0)->False)
% 253.17/253.59 Found x30:False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 253.17/253.59 Found x30:False
% 253.17/253.59 Found (fun (x5:(p V1))=> x30) as proof of False
% 253.17/253.59 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 253.17/253.59 Found x10:False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 253.17/253.59 Found x10:False
% 253.17/253.59 Found (fun (x5:(p V1))=> x10) as proof of False
% 253.17/253.59 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 253.17/253.59 Found x30:False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 253.17/253.59 Found x30:False
% 253.17/253.59 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of False
% 253.17/253.59 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 253.17/253.59 Found x10:False
% 253.17/253.59 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of False
% 253.17/253.59 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 253.17/253.59 Found x10:False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 253.17/253.59 Found x10:False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 253.17/253.59 Found x30:False
% 253.17/253.59 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of False
% 253.17/253.59 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x30) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 253.17/253.59 Found x10:False
% 253.17/253.59 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of False
% 253.17/253.59 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> x10) as proof of (((mnot ((mimplied p) q)) V1)->False)
% 253.17/253.59 Found x30:False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 253.17/253.59 Found x30:False
% 253.17/253.59 Found (fun (x5:(p V1))=> x30) as proof of False
% 253.17/253.59 Found (fun (x5:(p V1))=> x30) as proof of ((p V1)->False)
% 253.17/253.59 Found x10:False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 253.17/253.59 Found x10:False
% 253.17/253.59 Found (fun (x5:(p V1))=> x10) as proof of False
% 253.17/253.59 Found (fun (x5:(p V1))=> x10) as proof of ((p V1)->False)
% 253.17/253.59 Found x30:False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 253.17/253.59 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 253.17/253.59 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 253.17/253.59 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 253.17/253.59 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 253.17/253.59 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 253.17/253.59 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplied p) q) V)
% 253.17/253.59 Found x30:False
% 253.17/253.59 Found (fun (x4:(q V))=> x30) as proof of False
% 253.17/253.59 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 256.78/257.22 Found x30:False
% 256.78/257.22 Found (fun (x4:(q V))=> x30) as proof of False
% 256.78/257.22 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 256.78/257.22 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 256.78/257.22 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 256.78/257.22 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 256.78/257.22 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 256.78/257.22 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 256.78/257.22 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 256.78/257.22 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 256.78/257.22 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 256.78/257.22 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot ((mimplies q) p)) V1)->((rel_d W) V0))
% 256.78/257.22 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 256.78/257.22 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 256.78/257.22 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 256.78/257.22 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)
% 256.78/257.22 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))
% 256.78/257.22 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 256.78/257.22 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 256.78/257.22 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mimplies q) p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mimplies q) p)) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 256.78/257.22 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 256.78/257.22 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 256.78/257.22 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 256.78/257.22 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 256.78/257.22 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 256.78/257.22 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 256.78/257.22 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 256.78/257.22 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 256.78/257.22 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)
% 256.78/257.22 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))
% 256.78/257.22 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 256.78/257.22 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:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 256.78/257.22 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (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:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 257.40/257.81 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 257.40/257.81 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 257.40/257.81 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 257.40/257.81 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 257.40/257.81 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 257.40/257.81 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 257.40/257.81 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 257.40/257.81 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 257.40/257.81 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)
% 257.40/257.81 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))
% 257.40/257.81 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 257.40/257.81 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:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 257.40/257.81 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (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:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 257.40/257.81 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 257.40/257.81 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 257.40/257.81 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 257.40/257.81 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 257.40/257.81 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mimplies q) p)) V1)->((rel_d W) V))
% 257.40/257.81 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 257.40/257.81 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 257.40/257.81 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 257.40/257.81 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)
% 257.40/257.81 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))
% 257.40/257.81 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 257.40/257.81 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 257.40/257.81 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mimplies q) p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mimplies q) p)) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 257.40/257.81 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 257.40/257.81 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 257.40/257.81 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 257.40/257.81 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 257.40/257.81 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplied p) q) V)
% 271.61/272.04 Found x30:False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 271.61/272.04 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found x30:False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 271.61/272.04 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found x30:False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 271.61/272.04 Found x30:False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 271.61/272.04 Found x30:False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 271.61/272.04 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 271.61/272.04 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplied p) q) V)
% 271.61/272.04 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 271.61/272.04 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 271.61/272.04 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 271.61/272.04 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 271.61/272.04 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplied p) q) V0)
% 271.61/272.04 Found x30:False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 271.61/272.04 Found x30:False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 271.61/272.04 Found x30:False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 271.61/272.04 Found x30:False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of False
% 271.61/272.04 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 271.61/272.04 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 271.61/272.04 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 271.61/272.04 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplied p) q) V)
% 271.61/272.04 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 271.61/272.04 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 271.61/272.04 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 271.61/272.04 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 283.02/283.44 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplied p) q) V0)
% 283.02/283.44 Found x30:False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 283.02/283.44 Found x30:False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 283.02/283.44 Found x30:False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 283.02/283.44 Found x30:False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 283.02/283.44 Found x30:False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 283.02/283.44 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 283.02/283.44 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 283.02/283.44 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 283.02/283.44 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 283.02/283.44 Found x10:False
% 283.02/283.44 Found (fun (x4:(q V0))=> x10) as proof of False
% 283.02/283.44 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 283.02/283.44 Found (or_introl10 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 283.02/283.44 Found ((or_introl1 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 283.02/283.44 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 283.02/283.44 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 283.02/283.44 Found x30:False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 283.02/283.44 Found x30:False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 283.02/283.44 Found x30:False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 283.02/283.44 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 283.02/283.44 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 283.02/283.44 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 283.02/283.44 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 283.02/283.44 Found x10:False
% 283.02/283.44 Found (fun (x4:(q V0))=> x10) as proof of False
% 283.02/283.44 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 283.02/283.44 Found (or_introl10 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 283.02/283.44 Found ((or_introl1 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 283.02/283.44 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 283.02/283.44 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 283.02/283.44 Found x30:False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 283.02/283.44 Found x30:False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 283.02/283.44 Found x30:False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 283.02/283.44 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 283.02/283.44 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 283.02/283.44 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 283.02/283.44 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 283.02/283.44 Found x30:False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 283.02/283.44 Found x30:False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of False
% 283.02/283.44 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 283.02/283.44 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 283.02/283.44 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 283.02/283.44 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 283.02/283.44 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 294.39/294.78 Found x10:False
% 294.39/294.78 Found (fun (x4:(q V0))=> x10) as proof of False
% 294.39/294.78 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 294.39/294.78 Found x30:False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 294.39/294.78 Found x30:False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 294.39/294.78 Found x10:False
% 294.39/294.78 Found (fun (x4:(q V0))=> x10) as proof of False
% 294.39/294.78 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 294.39/294.78 Found x30:False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 294.39/294.78 Found x10:False
% 294.39/294.78 Found (fun (x4:(q V0))=> x10) as proof of False
% 294.39/294.78 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 294.39/294.78 Found x30:False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 294.39/294.78 Found x30:False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 294.39/294.78 Found x10:False
% 294.39/294.78 Found (fun (x4:(q V0))=> x10) as proof of False
% 294.39/294.78 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 294.39/294.78 Found x30:False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 294.39/294.78 Found x10:False
% 294.39/294.78 Found (fun (x4:(q V0))=> x10) as proof of False
% 294.39/294.78 Found (fun (x4:(q V0))=> x10) as proof of ((q V0)->False)
% 294.39/294.78 Found False_rect00:=(False_rect0 ((rel_d S) V)):((rel_d S) V)
% 294.39/294.78 Found (False_rect0 ((rel_d S) V)) as proof of ((rel_d S) V)
% 294.39/294.78 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)) as proof of ((rel_d S) V)
% 294.39/294.78 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((rel_d S) V)
% 294.39/294.78 Found (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((p V1)->((rel_d S) V))
% 294.39/294.78 Found False_rect00:=(False_rect0 ((rel_d S) V)):((rel_d S) V)
% 294.39/294.78 Found (False_rect0 ((rel_d S) V)) as proof of ((rel_d S) V)
% 294.39/294.78 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)) as proof of ((rel_d S) V)
% 294.39/294.78 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((rel_d S) V)
% 294.39/294.78 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((((rel_d S) V1)->False)->((rel_d S) V))
% 294.39/294.78 Found ((or_ind20 (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 294.39/294.78 Found (((or_ind2 ((rel_d S) V)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 294.39/294.78 Found ((((fun (P:Prop) (x5:((((rel_d S) V1)->False)->P)) (x6:((p V1)->P))=> ((((((or_ind (((rel_d S) V1)->False)) (p V1)) P) x5) x6) x4)) ((rel_d S) V)) (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) (fun (x5:(p V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)))) as proof of ((rel_d S) V)
% 294.39/294.78 Found x30:False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of False
% 294.39/294.78 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 294.39/294.78 Found False_rect00:=(False_rect0 ((rel_d S) V)):((rel_d S) V)
% 294.39/294.78 Found (False_rect0 ((rel_d S) V)) as proof of ((rel_d S) V)
% 294.39/294.78 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)) as proof of ((rel_d S) V)
% 294.39/294.78 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((rel_d S) V)
% 294.39/294.78 Found (fun (x5:((mnot ((mimplied p) q)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of (((mnot ((mimplied p) q)) V1)->((rel_d S) V))
% 294.39/294.78 Found False_rect00:=(False_rect0 ((rel_d S) V)):((rel_d S) V)
% 294.39/294.78 Found (False_rect0 ((rel_d S) V)) as proof of ((rel_d S) V)
% 294.39/294.78 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V)) as proof of ((rel_d S) V)
% 294.39/294.78 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d S) V))) as proof of ((rel_d S) V)
% 294.39/294.78 Found (fun (x5:(((rel_d S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (
%------------------------------------------------------------------------------