TSTP Solution File: SYO457^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO457^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 00:51:34 EDT 2022
% Result : Timeout 295.69s 296.09s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO457^1 : TPTP v7.5.0. Released v4.0.0.
% 0.06/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % RAMPerCPU : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Sat Mar 12 20:59:47 EST 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.33 Python 2.7.5
% 0.18/0.60 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.18/0.60 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x16bad88>, <kernel.Type object at 0x16bab00>) of role type named mu_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring mu:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x16bad40>, <kernel.DependentProduct object at 0x16bad88>) of role type named meq_ind_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.18/0.60 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.18/0.60 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.18/0.60 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x16bad88>, <kernel.DependentProduct object at 0x16bab90>) of role type named meq_prop_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.18/0.60 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.18/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.18/0.60 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x16bac20>, <kernel.DependentProduct object at 0x16bad40>) of role type named mnot_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.18/0.60 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.18/0.60 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.18/0.60 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x16bad40>, <kernel.DependentProduct object at 0x16ba518>) of role type named mor_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.18/0.60 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.18/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.18/0.60 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x16ba518>, <kernel.DependentProduct object at 0x16ba680>) of role type named mand_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.18/0.60 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.18/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.18/0.60 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x16ba680>, <kernel.DependentProduct object at 0x16ba5a8>) of role type named mimplies_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.18/0.60 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.18/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.18/0.60 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x16ba5a8>, <kernel.DependentProduct object at 0x16ba8c0>) of role type named mimplied_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.44/0.61 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x16ba8c0>, <kernel.DependentProduct object at 0x16bad40>) of role type named mequiv_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.44/0.61 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x16bad40>, <kernel.DependentProduct object at 0x16ba518>) of role type named mxor_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.44/0.61 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x16bad88>, <kernel.DependentProduct object at 0x16ba8c0>) of role type named mforall_ind_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.44/0.61 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.44/0.61 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.44/0.61 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2b0fb14cc248>, <kernel.DependentProduct object at 0x16ba290>) of role type named mforall_prop_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.44/0.61 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.44/0.61 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.44/0.61 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2b0fb8fb1ea8>, <kernel.DependentProduct object at 0x16ba2d8>) of role type named mexists_ind_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.44/0.61 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.44/0.61 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.44/0.62 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x16ba2d8>, <kernel.DependentProduct object at 0x16ba680>) of role type named mexists_prop_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.44/0.62 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.44/0.62 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.44/0.62 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x154dc68>, <kernel.DependentProduct object at 0x16ba998>) of role type named mtrue_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mtrue:(fofType->Prop)
% 0.44/0.62 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.44/0.62 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.44/0.62 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x154df80>, <kernel.DependentProduct object at 0x16ba758>) of role type named mfalse_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mfalse:(fofType->Prop)
% 0.44/0.62 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.44/0.62 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.44/0.62 Defined: mfalse:=(mnot mtrue)
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x154de18>, <kernel.DependentProduct object at 0x16ba1b8>) of role type named mbox_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.44/0.62 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.44/0.62 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x16ba1b8>, <kernel.DependentProduct object at 0x16ba098>) of role type named mdia_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.44/0.62 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.44/0.62 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x16ba9e0>, <kernel.DependentProduct object at 0x16ba998>) of role type named mreflexive_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.44/0.62 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.44/0.62 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.44/0.62 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x16ba998>, <kernel.DependentProduct object at 0x16ba5a8>) of role type named msymmetric_type
% 0.44/0.62 Using role type
% 0.47/0.63 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.47/0.63 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1555128>, <kernel.DependentProduct object at 0x16bad40>) of role type named mserial_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.47/0.63 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x15557a0>, <kernel.DependentProduct object at 0x16ba5a8>) of role type named mtransitive_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.47/0.63 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x15557a0>, <kernel.DependentProduct object at 0x16bad40>) of role type named meuclidean_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.47/0.63 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x15557a0>, <kernel.DependentProduct object at 0x16ba1b8>) of role type named mpartially_functional_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.47/0.63 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x16ba1b8>, <kernel.DependentProduct object at 0x16ba8c0>) of role type named mfunctional_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.47/0.64 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x16ba8c0>, <kernel.DependentProduct object at 0x16bad88>) of role type named mweakly_dense_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.47/0.64 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x16ba128>, <kernel.DependentProduct object at 0x16bad88>) of role type named mweakly_connected_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.47/0.64 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x16ba680>, <kernel.DependentProduct object at 0x16bad88>) of role type named mweakly_directed_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.47/0.64 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x16ba2d8>, <kernel.DependentProduct object at 0x16c3098>) of role type named mvalid_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mvalid:((fofType->Prop)->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.47/0.64 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.47/0.64 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x16ba128>, <kernel.DependentProduct object at 0x16c33b0>) of role type named minvalid_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring minvalid:((fofType->Prop)->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.47/0.65 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x16c34d0>, <kernel.DependentProduct object at 0x16c3638>) of role type named msatisfiable_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.47/0.65 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x16c33b0>, <kernel.DependentProduct object at 0x16c3200>) of role type named mcountersatisfiable_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.47/0.65 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.47/0.65 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^1.ax, trying next directory
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x154dea8>, <kernel.DependentProduct object at 0x1555a28>) of role type named rel_k_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring rel_k:(fofType->(fofType->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x154de18>, <kernel.DependentProduct object at 0x1555830>) of role type named mbox_k_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mbox_k:((fofType->Prop)->(fofType->Prop))
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_k) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V))))) of role definition named mbox_k
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_k) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V)))))
% 0.47/0.65 Defined: mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x154de18>, <kernel.DependentProduct object at 0x1555fc8>) of role type named mdia_k_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mdia_k:((fofType->Prop)->(fofType->Prop))
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))) of role definition named mdia_k
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))))
% 0.47/0.65 Defined: mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1552d40>, <kernel.DependentProduct object at 0x2b0fb8fc5c68>) of role type named p_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring p:(fofType->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1552b48>, <kernel.DependentProduct object at 0x2b0fb8fc5680>) of role type named q_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring q:(fofType->Prop)
% 0.47/0.65 FOF formula (mvalid ((mimplies (mdia_k (mbox_k p))) (mdia_k ((mimplies q) p)))) of role conjecture named prove
% 0.47/0.65 Conjecture to prove = (mvalid ((mimplies (mdia_k (mbox_k p))) (mdia_k ((mimplies q) p)))):Prop
% 0.47/0.65 Parameter mu_DUMMY:mu.
% 0.47/0.65 Parameter fofType_DUMMY:fofType.
% 0.47/0.65 We need to prove ['(mvalid ((mimplies (mdia_k (mbox_k p))) (mdia_k ((mimplies q) p))))']
% 0.47/0.65 Parameter mu:Type.
% 0.47/0.65 Parameter fofType:Type.
% 0.47/0.65 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.47/0.65 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.65 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.65 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.65 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.65 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.65 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.47/0.65 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.47/0.65 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))):((fofType->(fofType->Prop))->Prop).
% 28.22/28.42 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 28.22/28.42 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 28.22/28.42 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 28.22/28.42 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 28.22/28.42 Parameter rel_k:(fofType->(fofType->Prop)).
% 28.22/28.42 Definition mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 28.22/28.42 Definition mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 28.22/28.42 Parameter p:(fofType->Prop).
% 28.22/28.42 Parameter q:(fofType->Prop).
% 28.22/28.42 Trying to prove (mvalid ((mimplies (mdia_k (mbox_k p))) (mdia_k ((mimplies q) p))))
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V0)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V0)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 28.22/28.42 Found x10:False
% 28.22/28.42 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of False
% 28.22/28.42 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V0)->False)
% 52.13/52.41 Found x10:False
% 52.13/52.41 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 52.13/52.41 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 52.13/52.41 Found x10:False
% 52.13/52.41 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of False
% 52.13/52.41 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V0)->False)
% 52.13/52.41 Found x10:False
% 52.13/52.41 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 52.13/52.41 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 52.13/52.41 Found x10:False
% 52.13/52.41 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 52.13/52.41 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 52.13/52.41 Found x10:False
% 52.13/52.41 Found (fun (x2:(p V00))=> x10) as proof of False
% 52.13/52.41 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 52.13/52.41 Found x10:False
% 52.13/52.41 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 52.13/52.41 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 52.13/52.41 Found x10:False
% 52.13/52.41 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of False
% 52.13/52.41 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V0)->False)
% 52.13/52.41 Found x10:False
% 52.13/52.41 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of False
% 52.13/52.41 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V0)->False)
% 52.13/52.41 Found x10:False
% 52.13/52.41 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 52.13/52.41 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 52.13/52.41 Found x30:False
% 52.13/52.41 Found (fun (x4:(q V))=> x30) as proof of False
% 52.13/52.41 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 52.13/52.41 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 52.13/52.41 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 52.13/52.41 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 52.13/52.41 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 52.13/52.41 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 52.13/52.41 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 52.13/52.41 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 52.13/52.41 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 52.13/52.41 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 52.13/52.41 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 52.13/52.41 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 52.13/52.41 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 52.13/52.41 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 52.13/52.41 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 52.13/52.41 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplies q) p) V0)
% 52.13/52.41 Found x30:False
% 52.13/52.41 Found (fun (x4:(q V))=> x30) as proof of False
% 52.13/52.41 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 52.13/52.41 Found x30:False
% 52.13/52.41 Found (fun (x4:(q V))=> x30) as proof of False
% 52.13/52.41 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 52.13/52.41 Found x30:False
% 52.13/52.41 Found (fun (x4:(q V))=> x30) as proof of False
% 52.13/52.41 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 52.13/52.41 Found x10:False
% 52.13/52.41 Found (fun (x4:(q V0))=> x10) as proof of False
% 52.13/52.41 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 52.13/52.41 Found x30:False
% 52.13/52.41 Found (fun (x4:(q V))=> x30) as proof of False
% 52.13/52.41 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 52.13/52.41 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 52.13/52.41 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 52.13/52.41 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 58.30/58.53 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 58.30/58.53 Found x30:False
% 58.30/58.53 Found (fun (x4:(q V))=> x30) as proof of False
% 58.30/58.53 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 58.30/58.53 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 58.30/58.53 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 58.30/58.53 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 58.30/58.53 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 58.30/58.53 Found x10:False
% 58.30/58.53 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 58.30/58.53 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 58.30/58.53 Found x10:False
% 58.30/58.53 Found (fun (x2:(p V00))=> x10) as proof of False
% 58.30/58.53 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 58.30/58.53 Found x10:False
% 58.30/58.53 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 58.30/58.53 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 58.30/58.53 Found x10:False
% 58.30/58.53 Found (fun (x2:(p V00))=> x10) as proof of False
% 58.30/58.53 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 58.30/58.53 Found x30:False
% 58.30/58.53 Found (fun (x4:(q V))=> x30) as proof of False
% 58.30/58.53 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 58.30/58.53 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 58.30/58.53 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 58.30/58.53 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 58.30/58.53 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 58.30/58.53 Found x10:False
% 58.30/58.53 Found (fun (x4:(q V0))=> x10) as proof of False
% 58.30/58.53 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 58.30/58.53 Found (or_introl00 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 58.30/58.53 Found ((or_introl0 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 58.30/58.53 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 58.30/58.53 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 58.30/58.53 Found x10:False
% 58.30/58.53 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 58.30/58.53 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 58.30/58.53 Found x10:False
% 58.30/58.53 Found (fun (x2:(p V00))=> x10) as proof of False
% 58.30/58.53 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 58.30/58.53 Found x30:False
% 58.30/58.53 Found (fun (x4:(q V))=> x30) as proof of False
% 58.30/58.53 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 58.30/58.53 Found x30:False
% 58.30/58.53 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 58.30/58.53 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 58.30/58.53 Found x30:False
% 58.30/58.53 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 58.30/58.53 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 58.30/58.53 Found x10:False
% 58.30/58.53 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 58.30/58.53 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 58.30/58.53 Found x10:False
% 58.30/58.53 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 58.30/58.53 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 58.30/58.53 Found x10:False
% 58.30/58.53 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 58.30/58.53 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 58.30/58.53 Found x30:False
% 58.30/58.53 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 58.30/58.53 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 58.30/58.53 Found x30:False
% 58.30/58.53 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 58.30/58.53 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 58.30/58.53 Found x10:False
% 58.30/58.53 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 58.30/58.53 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 58.30/58.53 Found x30:False
% 58.30/58.53 Found (fun (x4:(q V))=> x30) as proof of False
% 71.19/71.43 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 71.19/71.43 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 71.19/71.43 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 71.19/71.43 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 71.19/71.43 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mor (mnot q)) p) V)
% 71.19/71.43 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 71.19/71.43 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 71.19/71.43 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 71.19/71.43 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplies q) p) V0)
% 71.19/71.43 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 71.19/71.43 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mor (mnot q)) p) V)
% 71.19/71.43 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 71.19/71.43 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 71.19/71.43 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mor (mnot q)) p) V0)
% 71.19/71.43 Found x30:False
% 71.19/71.43 Found (fun (x4:(q V))=> x30) as proof of False
% 71.19/71.43 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 71.19/71.43 Found x30:False
% 71.19/71.43 Found (fun (x4:(q V))=> x30) as proof of False
% 71.19/71.43 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 71.19/71.43 Found x30:False
% 71.19/71.43 Found (fun (x4:(q V))=> x30) as proof of False
% 71.19/71.43 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 71.19/71.43 Found x30:False
% 71.19/71.43 Found (fun (x4:(q V))=> x30) as proof of False
% 71.19/71.43 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 71.19/71.43 Found x30:False
% 71.19/71.43 Found (fun (x4:(q V))=> x30) as proof of False
% 71.19/71.43 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 71.19/71.43 Found x10:False
% 71.19/71.43 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 71.19/71.43 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 71.19/71.43 Found x10:False
% 71.19/71.43 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 71.19/71.43 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 71.19/71.43 Found x30:False
% 71.19/71.43 Found (fun (x4:(q V))=> x30) as proof of False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 96.70/97.00 Found x10:False
% 96.70/97.00 Found (fun (x4:(q V0))=> x10) as proof of False
% 96.70/97.00 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 96.70/97.00 Found x30:False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 96.70/97.00 Found x30:False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 96.70/97.00 Found x10:False
% 96.70/97.00 Found (fun (x4:(q V0))=> x10) as proof of False
% 96.70/97.00 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 96.70/97.00 Found x30:False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 96.70/97.00 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found x30:False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 96.70/97.00 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found x30:False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 96.70/97.00 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found x30:False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 96.70/97.00 Found x30:False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 96.70/97.00 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found x10:False
% 96.70/97.00 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 96.70/97.00 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 96.70/97.00 Found x10:False
% 96.70/97.00 Found (fun (x2:(p V00))=> x10) as proof of False
% 96.70/97.00 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 96.70/97.00 Found x30:False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 96.70/97.00 Found x30:False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of False
% 96.70/97.00 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 96.70/97.00 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 96.70/97.00 Found x10:False
% 96.70/97.00 Found (fun (x4:(q V0))=> x10) as proof of False
% 96.70/97.00 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 96.70/97.00 Found (or_introl10 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 96.70/97.00 Found ((or_introl1 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 96.70/97.00 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 96.70/97.00 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 96.70/97.00 Found x10:False
% 96.70/97.00 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 103.35/103.67 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 103.35/103.67 Found x10:False
% 103.35/103.67 Found (fun (x2:(p V00))=> x10) as proof of False
% 103.35/103.67 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 103.35/103.67 Found x10:False
% 103.35/103.67 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 103.35/103.67 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 103.35/103.67 Found x10:False
% 103.35/103.67 Found (fun (x2:(p V00))=> x10) as proof of False
% 103.35/103.67 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 103.35/103.67 Found x30:False
% 103.35/103.67 Found (fun (x4:(q V))=> x30) as proof of False
% 103.35/103.67 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 103.35/103.67 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 103.35/103.67 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 103.35/103.67 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 103.35/103.67 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 103.35/103.67 Found x30:False
% 103.35/103.67 Found (fun (x4:(q V))=> x30) as proof of False
% 103.35/103.67 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 103.35/103.67 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 103.35/103.67 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 103.35/103.67 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 103.35/103.67 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 103.35/103.67 Found x10:False
% 103.35/103.67 Found (fun (x4:(q V0))=> x10) as proof of False
% 103.35/103.67 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 103.35/103.67 Found (or_introl00 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 103.35/103.67 Found ((or_introl0 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 103.35/103.67 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 103.35/103.67 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 103.35/103.67 Found x30:False
% 103.35/103.67 Found (fun (x4:(q V))=> x30) as proof of False
% 103.35/103.67 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 103.35/103.67 Found x10:False
% 103.35/103.67 Found (fun (x4:(q V0))=> x10) as proof of False
% 103.35/103.67 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 103.35/103.67 Found x30:False
% 103.35/103.67 Found (fun (x4:(q V))=> x30) as proof of False
% 103.35/103.67 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 103.35/103.67 Found x30:False
% 103.35/103.67 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 103.35/103.67 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 103.35/103.67 Found x30:False
% 103.35/103.67 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 103.35/103.67 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 103.35/103.67 Found x10:False
% 103.35/103.67 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 103.35/103.67 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 103.35/103.67 Found x10:False
% 103.35/103.67 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 103.35/103.67 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 103.35/103.67 Found x30:False
% 103.35/103.67 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 103.35/103.67 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 103.35/103.67 Found x30:False
% 103.35/103.67 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 103.35/103.67 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 103.35/103.67 Found x10:False
% 103.35/103.67 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 103.35/103.67 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 103.35/103.67 Found x10:False
% 103.35/103.67 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 103.35/103.67 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 103.35/103.67 Found x30:False
% 103.35/103.67 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of False
% 103.35/103.67 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 103.35/103.67 Found x30:False
% 103.35/103.67 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 109.03/109.36 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 109.03/109.36 Found x10:False
% 109.03/109.36 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 109.03/109.36 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 109.03/109.36 Found x10:False
% 109.03/109.36 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of False
% 109.03/109.36 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 109.03/109.36 Found x30:False
% 109.03/109.36 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of False
% 109.03/109.36 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 109.03/109.36 Found x30:False
% 109.03/109.36 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 109.03/109.36 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 109.03/109.36 Found x10:False
% 109.03/109.36 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 109.03/109.36 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 109.03/109.36 Found x10:False
% 109.03/109.36 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of False
% 109.03/109.36 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 109.03/109.36 Found x30:False
% 109.03/109.36 Found (fun (x4:(q V))=> x30) as proof of False
% 109.03/109.36 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 109.03/109.36 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 109.03/109.36 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 109.03/109.36 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 109.03/109.36 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 109.03/109.36 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 109.03/109.36 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 109.03/109.36 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 109.03/109.36 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 109.03/109.36 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mor (mnot q)) p) V)
% 109.03/109.36 Found x30:False
% 109.03/109.36 Found (fun (x4:(q V))=> x30) as proof of False
% 109.03/109.36 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 109.03/109.36 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 109.03/109.36 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 109.03/109.36 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 109.03/109.36 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 109.03/109.36 Found x30:False
% 109.03/109.36 Found (fun (x4:(q V))=> x30) as proof of False
% 109.03/109.36 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 109.03/109.36 Found x10:False
% 109.03/109.36 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 109.03/109.36 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 109.03/109.36 Found x30:False
% 109.03/109.36 Found (fun (x4:(q V))=> x30) as proof of False
% 109.03/109.36 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 109.03/109.36 Found x10:False
% 109.03/109.36 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of False
% 109.03/109.36 Found (fun (x3:((mnot ((mimplies q) p)) V0))=> x10) as proof of (((mnot ((mimplies q) p)) V0)->False)
% 109.03/109.36 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 109.03/109.36 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 109.03/109.36 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 109.03/109.36 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 109.03/109.36 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mor (mnot q)) p) V)
% 109.03/109.36 Found x30:False
% 109.03/109.36 Found (fun (x4:(q V))=> x30) as proof of False
% 109.03/109.36 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 109.03/109.36 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 109.03/109.36 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 130.56/130.91 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 130.56/130.91 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 130.56/130.91 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mor (mnot q)) p) V0)
% 130.56/130.91 Found x30:False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 130.56/130.91 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 130.56/130.91 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 130.56/130.91 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 130.56/130.91 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 130.56/130.91 Found x10:False
% 130.56/130.91 Found (fun (x4:(q V0))=> x10) as proof of False
% 130.56/130.91 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 130.56/130.91 Found (or_intror10 (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 130.56/130.91 Found ((or_intror1 ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 130.56/130.91 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 130.56/130.91 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 130.56/130.91 Found x30:False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 130.56/130.91 Found x10:False
% 130.56/130.91 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of False
% 130.56/130.91 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V0)->False)
% 130.56/130.91 Found x10:False
% 130.56/130.91 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 130.56/130.91 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 130.56/130.91 Found x30:False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 130.56/130.91 Found x10:False
% 130.56/130.91 Found (fun (x4:(q V0))=> x10) as proof of False
% 130.56/130.91 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 130.56/130.91 Found x30:False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 130.56/130.91 Found x30:False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 130.56/130.91 Found x30:False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 130.56/130.91 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 130.56/130.91 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 130.56/130.91 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 130.56/130.91 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 130.56/130.91 Found x30:False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 130.56/130.91 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 130.56/130.91 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 130.56/130.91 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 130.56/130.91 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 130.56/130.91 Found x30:False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 130.56/130.91 Found x30:False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 130.56/130.91 Found x30:False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 130.56/130.91 Found x30:False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 130.56/130.91 Found x30:False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of False
% 130.56/130.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 130.56/130.91 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 130.56/130.91 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 130.56/130.91 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 141.32/141.66 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 141.32/141.66 Found x10:False
% 141.32/141.66 Found (fun (x4:(q V0))=> x10) as proof of False
% 141.32/141.66 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 141.32/141.66 Found (or_introl10 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 141.32/141.66 Found ((or_introl1 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 141.32/141.66 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 141.32/141.66 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 141.32/141.66 Found x30:False
% 141.32/141.66 Found (fun (x4:(q V))=> x30) as proof of False
% 141.32/141.66 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 141.32/141.66 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 141.32/141.66 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 141.32/141.66 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 141.32/141.66 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 141.32/141.66 Found x10:False
% 141.32/141.66 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 141.32/141.66 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 141.32/141.66 Found x10:False
% 141.32/141.66 Found (fun (x2:(p V00))=> x10) as proof of False
% 141.32/141.66 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 141.32/141.66 Found x30:False
% 141.32/141.66 Found (fun (x4:(q V))=> x30) as proof of False
% 141.32/141.66 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 141.32/141.66 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 141.32/141.66 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 141.32/141.66 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 141.32/141.66 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 141.32/141.66 Found x30:False
% 141.32/141.66 Found (fun (x4:(q V))=> x30) as proof of False
% 141.32/141.66 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 141.32/141.66 Found x10:False
% 141.32/141.66 Found (fun (x4:(q V0))=> x10) as proof of False
% 141.32/141.66 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 141.32/141.66 Found x30:False
% 141.32/141.66 Found (fun (x4:(q V))=> x30) as proof of False
% 141.32/141.66 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 141.32/141.66 Found x10:False
% 141.32/141.66 Found (fun (x4:(q V0))=> x10) as proof of False
% 141.32/141.66 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 141.32/141.66 Found x30:False
% 141.32/141.66 Found (fun (x4:(q V))=> x30) as proof of False
% 141.32/141.66 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 141.32/141.66 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 141.32/141.66 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 141.32/141.66 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 141.32/141.66 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 141.32/141.66 Found x30:False
% 141.32/141.66 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of False
% 141.32/141.66 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 141.32/141.66 Found x30:False
% 141.32/141.66 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 141.32/141.66 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 141.32/141.66 Found x10:False
% 141.32/141.66 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of False
% 141.32/141.66 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 141.32/141.66 Found x10:False
% 141.32/141.66 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 141.32/141.66 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 141.32/141.66 Found x30:False
% 141.32/141.66 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 141.32/141.66 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 141.32/141.66 Found x10:False
% 141.32/141.66 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 141.32/141.66 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 141.32/141.66 Found x10:False
% 141.32/141.66 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of False
% 141.32/141.66 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 146.55/146.95 Found x30:False
% 146.55/146.95 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of False
% 146.55/146.95 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 146.55/146.95 Found x30:False
% 146.55/146.95 Found (fun (x4:(q V))=> x30) as proof of False
% 146.55/146.95 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 146.55/146.95 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found x10:False
% 146.55/146.95 Found (fun (x2:(p V00))=> x10) as proof of False
% 146.55/146.95 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 146.55/146.95 Found x10:False
% 146.55/146.95 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 146.55/146.95 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 146.55/146.95 Found x10:False
% 146.55/146.95 Found (fun (x2:(p V00))=> x10) as proof of False
% 146.55/146.95 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 146.55/146.95 Found x10:False
% 146.55/146.95 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 146.55/146.95 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 146.55/146.95 Found x30:False
% 146.55/146.95 Found (fun (x4:(q V))=> x30) as proof of False
% 146.55/146.95 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 146.55/146.95 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found x10:False
% 146.55/146.95 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 146.55/146.95 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 146.55/146.95 Found x10:False
% 146.55/146.95 Found (fun (x2:(p V00))=> x10) as proof of False
% 146.55/146.95 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 146.55/146.95 Found x30:False
% 146.55/146.95 Found (fun (x4:(q V))=> x30) as proof of False
% 146.55/146.95 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 146.55/146.95 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found x10:False
% 146.55/146.95 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of False
% 146.55/146.95 Found (fun (x3:((mnot ((mor (mnot q)) p)) V0))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V0)->False)
% 146.55/146.95 Found x10:False
% 146.55/146.95 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 146.55/146.95 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 146.55/146.95 Found x30:False
% 146.55/146.95 Found (fun (x4:(q V))=> x30) as proof of False
% 146.55/146.95 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 146.55/146.95 Found x30:False
% 146.55/146.95 Found (fun (x4:(q V))=> x30) as proof of False
% 146.55/146.95 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 146.55/146.95 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 146.55/146.95 Found x10:False
% 146.55/146.95 Found (fun (x4:(q V0))=> x10) as proof of False
% 146.55/146.95 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 146.55/146.95 Found (or_intror00 (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 146.55/146.95 Found ((or_intror0 ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 146.55/146.95 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 146.55/146.95 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 155.57/155.91 Found x30:False
% 155.57/155.91 Found (fun (x4:(q V))=> x30) as proof of False
% 155.57/155.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 155.57/155.91 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 155.57/155.91 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 155.57/155.91 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 155.57/155.91 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 155.57/155.91 Found x10:False
% 155.57/155.91 Found (fun (x4:(q V0))=> x10) as proof of False
% 155.57/155.91 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 155.57/155.91 Found (or_intror10 (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 155.57/155.91 Found ((or_intror1 ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 155.57/155.91 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 155.57/155.91 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 155.57/155.91 Found x30:False
% 155.57/155.91 Found (fun (x4:(q V))=> x30) as proof of False
% 155.57/155.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 155.57/155.91 Found x30:False
% 155.57/155.91 Found (fun (x4:(q V))=> x30) as proof of False
% 155.57/155.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 155.57/155.91 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 155.57/155.91 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 155.57/155.91 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 155.57/155.91 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 155.57/155.91 Found x30:False
% 155.57/155.91 Found (fun (x4:(q V))=> x30) as proof of False
% 155.57/155.91 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 155.57/155.91 Found x30:False
% 155.57/155.91 Found (fun (x4:(q V))=> x30) as proof of False
% 155.57/155.91 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 155.57/155.91 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 155.57/155.91 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 155.57/155.91 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 155.57/155.91 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplies q) p) V0)
% 155.57/155.91 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 155.57/155.91 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 155.57/155.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 155.57/155.91 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 167.60/167.98 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 167.60/167.98 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 167.60/167.98 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 167.60/167.98 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplies q) p) V0)
% 167.60/167.98 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 167.60/167.98 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 167.60/167.98 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 167.60/167.98 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 167.60/167.98 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot ((mimplies q) p)) V1)->((rel_k W) V))
% 167.60/167.98 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 167.60/167.98 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 167.60/167.98 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 167.60/167.98 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 167.60/167.98 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 167.60/167.98 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 167.60/167.98 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 167.60/167.98 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot ((mimplies q) p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot ((mimplies q) p)) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 167.60/167.98 Found x30:False
% 167.60/167.98 Found (fun (x4:(q V))=> x30) as proof of False
% 167.60/167.98 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 167.60/167.98 Found x30:False
% 167.60/167.98 Found (fun (x4:(q V))=> x30) as proof of False
% 167.60/167.98 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 167.60/167.98 Found x30:False
% 167.60/167.98 Found (fun (x4:(q V))=> x30) as proof of False
% 167.60/167.98 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 167.60/167.98 Found x30:False
% 167.60/167.98 Found (fun (x4:(q V))=> x30) as proof of False
% 167.60/167.98 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 167.60/167.98 Found x30:False
% 167.60/167.98 Found (fun (x4:(q V))=> x30) as proof of False
% 167.60/167.98 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 167.60/167.98 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 167.60/167.98 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 167.60/167.98 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 167.60/167.98 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 167.60/167.98 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot ((mimplies q) p)) V1)->((rel_k W) V))
% 167.60/167.98 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 167.60/167.98 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 167.60/167.98 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 167.60/167.98 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 167.60/167.98 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 167.60/167.98 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 176.88/177.23 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 176.88/177.23 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot ((mimplies q) p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot ((mimplies q) p)) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 176.88/177.23 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 176.88/177.23 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 176.88/177.23 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 176.88/177.23 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 176.88/177.23 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of (((mnot ((mimplies q) p)) V1)->((rel_k W) V0))
% 176.88/177.23 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 176.88/177.23 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 176.88/177.23 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 176.88/177.23 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 176.88/177.23 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 176.88/177.23 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 176.88/177.23 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 176.88/177.23 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot ((mimplies q) p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot ((mimplies q) p)) V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 176.88/177.23 Found x30:False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 176.88/177.23 Found x30:False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 176.88/177.23 Found x30:False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 176.88/177.23 Found x10:False
% 176.88/177.23 Found (fun (x4:(q V0))=> x10) as proof of False
% 176.88/177.23 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 176.88/177.23 Found x30:False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 176.88/177.23 Found x30:False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 176.88/177.23 Found x10:False
% 176.88/177.23 Found (fun (x4:(q V0))=> x10) as proof of False
% 176.88/177.23 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 176.88/177.23 Found x30:False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 176.88/177.23 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 176.88/177.23 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 176.88/177.23 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 176.88/177.23 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 176.88/177.23 Found x30:False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of False
% 176.88/177.23 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 176.88/177.23 Found x10:False
% 176.88/177.23 Found (fun (x4:(q V0))=> x10) as proof of False
% 187.62/187.96 Found (fun (x4:(q V0))=> x10) as proof of ((q V0)->False)
% 187.62/187.96 Found x30:False
% 187.62/187.96 Found (fun (x4:(q V))=> x30) as proof of False
% 187.62/187.96 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 187.62/187.96 Found x10:False
% 187.62/187.96 Found (fun (x4:(q V0))=> x10) as proof of False
% 187.62/187.96 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 187.62/187.96 Found x30:False
% 187.62/187.96 Found (fun (x4:(q V))=> x30) as proof of False
% 187.62/187.96 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 187.62/187.96 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found x30:False
% 187.62/187.96 Found (fun (x4:(q V))=> x30) as proof of False
% 187.62/187.96 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 187.62/187.96 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found x30:False
% 187.62/187.96 Found (fun (x4:(q V))=> x30) as proof of False
% 187.62/187.96 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 187.62/187.96 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found x30:False
% 187.62/187.96 Found (fun (x4:(q V))=> x30) as proof of False
% 187.62/187.96 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 187.62/187.96 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 187.62/187.96 Found x10:False
% 187.62/187.96 Found (fun (x2:(p V00))=> x10) as proof of False
% 187.62/187.96 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 187.62/187.96 Found x10:False
% 187.62/187.96 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 187.62/187.96 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 187.62/187.96 Found x10:False
% 187.62/187.96 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 187.62/187.96 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 187.62/187.96 Found x10:False
% 187.62/187.96 Found (fun (x2:(p V00))=> x10) as proof of False
% 187.62/187.96 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 187.62/187.96 Found x10:False
% 187.62/187.96 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 187.62/187.96 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 187.62/187.96 Found x10:False
% 187.62/187.96 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 187.62/187.96 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 187.62/187.96 Found x10:False
% 187.62/187.96 Found (fun (x2:(p V00))=> x10) as proof of False
% 187.62/187.96 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 187.62/187.96 Found x10:False
% 187.62/187.96 Found (fun (x2:(p V00))=> x10) as proof of False
% 187.62/187.96 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 187.62/187.96 Found x10:False
% 187.62/187.96 Found (fun (x2:(p V00))=> x10) as proof of False
% 187.62/187.96 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 187.62/187.96 Found x10:False
% 187.62/187.96 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 187.62/187.96 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 187.62/187.96 Found x10:False
% 187.62/187.96 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 187.62/187.96 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 187.62/187.96 Found x10:False
% 187.62/187.96 Found (fun (x2:(p V00))=> x10) as proof of False
% 187.62/187.96 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 187.62/187.96 Found x30:False
% 197.93/198.29 Found (fun (x4:(q V))=> x30) as proof of False
% 197.93/198.29 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 197.93/198.29 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 197.93/198.29 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 197.93/198.29 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 197.93/198.29 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 197.93/198.29 Found x30:False
% 197.93/198.29 Found (fun (x4:(q V))=> x30) as proof of False
% 197.93/198.29 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 197.93/198.29 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.93/198.29 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.93/198.29 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.93/198.29 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.93/198.29 Found x10:False
% 197.93/198.29 Found (fun (x4:(q V0))=> x10) as proof of False
% 197.93/198.29 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 197.93/198.29 Found (or_introl00 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 197.93/198.29 Found ((or_introl0 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 197.93/198.29 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 197.93/198.29 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 197.93/198.29 Found x30:False
% 197.93/198.29 Found (fun (x4:(q V))=> x30) as proof of False
% 197.93/198.29 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 197.93/198.29 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 197.93/198.29 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 197.93/198.29 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 197.93/198.29 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 197.93/198.29 Found x10:False
% 197.93/198.29 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 197.93/198.29 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 197.93/198.29 Found x10:False
% 197.93/198.29 Found (fun (x2:(p V00))=> x10) as proof of False
% 197.93/198.29 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 197.93/198.29 Found x10:False
% 197.93/198.29 Found (fun (x2:(p V00))=> x10) as proof of False
% 197.93/198.29 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 197.93/198.29 Found x10:False
% 197.93/198.29 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 197.93/198.29 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 197.93/198.29 Found x10:False
% 197.93/198.29 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 197.93/198.29 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 197.93/198.29 Found x30:False
% 197.93/198.29 Found (fun (x4:(q V))=> x30) as proof of False
% 197.93/198.29 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 197.93/198.29 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.93/198.29 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.93/198.29 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.93/198.29 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 197.93/198.29 Found x10:False
% 197.93/198.29 Found (fun (x2:(p V00))=> x10) as proof of False
% 197.93/198.29 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 197.93/198.29 Found x10:False
% 197.93/198.29 Found (fun (x4:(q V0))=> x10) as proof of False
% 197.93/198.29 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 197.93/198.29 Found (or_introl00 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 197.93/198.29 Found ((or_introl0 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 197.93/198.29 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 197.93/198.29 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 197.93/198.29 Found x30:False
% 197.93/198.29 Found (fun (x4:(q V))=> x30) as proof of False
% 197.93/198.29 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 197.93/198.29 Found x30:False
% 197.93/198.29 Found (fun (x4:(q V))=> x30) as proof of False
% 197.93/198.29 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 200.49/200.88 Found x30:False
% 200.49/200.88 Found (fun (x4:(q V))=> x30) as proof of False
% 200.49/200.88 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 200.49/200.88 Found (or_intror00 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 200.49/200.88 Found ((or_intror0 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 200.49/200.88 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 200.49/200.88 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 200.49/200.88 Found x10:False
% 200.49/200.88 Found (fun (x4:(q V0))=> x10) as proof of False
% 200.49/200.88 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 200.49/200.88 Found (or_intror00 (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 200.49/200.88 Found ((or_intror0 ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 200.49/200.88 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 200.49/200.88 Found (((or_intror (p V0)) ((mnot q) V0)) (fun (x4:(q V0))=> x10)) as proof of ((or (p V0)) ((mnot q) V0))
% 200.49/200.88 Found x30:False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 200.49/200.88 Found x30:False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 200.49/200.88 Found x10:False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 200.49/200.88 Found x10:False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 200.49/200.88 Found x10:False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 200.49/200.88 Found x30:False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 200.49/200.88 Found x10:False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 200.49/200.88 Found x30:False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 200.49/200.88 Found x30:False
% 200.49/200.88 Found (fun (x4:(q V))=> x30) as proof of False
% 200.49/200.88 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 200.49/200.88 Found x30:False
% 200.49/200.88 Found (fun (x4:(q V))=> x30) as proof of False
% 200.49/200.88 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 200.49/200.88 Found x30:False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 200.49/200.88 Found x30:False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 200.49/200.88 Found x10:False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 200.49/200.88 Found x10:False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 200.49/200.88 Found x10:False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 200.49/200.88 Found x30:False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 200.49/200.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 200.49/200.88 Found x30:False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 200.49/200.88 Found x10:False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 200.49/200.88 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 208.96/209.34 Found x30:False
% 208.96/209.34 Found (fun (x4:(q V))=> x30) as proof of False
% 208.96/209.34 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 208.96/209.34 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 208.96/209.34 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 208.96/209.34 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 208.96/209.34 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mor (mnot q)) p) V)
% 208.96/209.34 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 208.96/209.34 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mor (mnot q)) p) V)
% 208.96/209.34 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 208.96/209.34 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 208.96/209.34 Found x30:False
% 208.96/209.34 Found (fun (x4:(q V))=> x30) as proof of False
% 208.96/209.34 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 208.96/209.34 Found x30:False
% 208.96/209.34 Found (fun (x4:(q V))=> x30) as proof of False
% 208.96/209.34 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 208.96/209.34 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 208.96/209.34 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mor (mnot q)) p) V)
% 208.96/209.34 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 208.96/209.34 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 208.96/209.34 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 208.96/209.34 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 208.96/209.34 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplies q) p) V0)
% 208.96/209.34 Found x30:False
% 208.96/209.34 Found (fun (x4:(q V))=> x30) as proof of False
% 208.96/209.34 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 208.96/209.34 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 219.34/219.70 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mor (mnot q)) p) V0)
% 219.34/219.70 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 219.34/219.70 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mor (mnot q)) p) V)
% 219.34/219.70 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 219.34/219.70 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mor (mnot q)) p) V0)
% 219.34/219.70 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 219.34/219.70 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mimplies q) p) V)
% 219.34/219.70 Found x30:False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 219.34/219.70 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 219.34/219.70 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of (((mimplies q) p) V0)
% 219.34/219.70 Found x30:False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 219.34/219.70 Found x30:False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 219.34/219.70 Found x30:False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 219.34/219.70 Found x30:False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 219.34/219.70 Found x30:False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 219.34/219.70 Found x30:False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 219.34/219.70 Found x30:False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 219.34/219.70 Found x30:False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 219.34/219.70 Found x30:False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of False
% 219.34/219.70 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 219.34/219.70 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 219.34/219.70 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 219.34/219.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 219.34/219.70 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 219.34/219.70 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot ((mor (mnot q)) p)) V1)->((rel_k W) V))
% 228.22/228.62 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 228.22/228.62 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 228.22/228.62 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 228.22/228.62 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 228.22/228.62 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 228.22/228.62 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 228.22/228.62 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 228.22/228.62 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot ((mor (mnot q)) p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot ((mor (mnot q)) p)) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 228.22/228.62 Found x30:False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 228.22/228.62 Found x30:False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 228.22/228.62 Found x30:False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 228.22/228.62 Found x10:False
% 228.22/228.62 Found (fun (x4:(q V0))=> x10) as proof of False
% 228.22/228.62 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 228.22/228.62 Found x30:False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 228.22/228.62 Found x10:False
% 228.22/228.62 Found (fun (x4:(q V0))=> x10) as proof of False
% 228.22/228.62 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 228.22/228.62 Found x30:False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 228.22/228.62 Found x30:False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 228.22/228.62 Found x30:False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 228.22/228.62 Found x10:False
% 228.22/228.62 Found (fun (x4:(q V0))=> x10) as proof of False
% 228.22/228.62 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 228.22/228.62 Found x30:False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of False
% 228.22/228.62 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 228.22/228.62 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 228.22/228.62 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 228.22/228.62 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 228.22/228.62 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 228.22/228.62 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot ((mimplies q) p)) V1)->((rel_k W) V))
% 228.22/228.62 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 228.22/228.62 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 228.22/228.62 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 228.22/228.62 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 228.22/228.62 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 228.22/228.62 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 228.22/228.62 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 230.75/231.14 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot ((mimplies q) p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot ((mimplies q) p)) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 230.75/231.14 Found x10:False
% 230.75/231.14 Found (fun (x4:(q V0))=> x10) as proof of False
% 230.75/231.14 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 230.75/231.14 Found x30:False
% 230.75/231.14 Found (fun (x4:(q V))=> x30) as proof of False
% 230.75/231.14 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 230.75/231.14 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 230.75/231.14 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 230.75/231.14 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 230.75/231.14 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 230.75/231.14 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of (((mnot ((mor (mnot q)) p)) V1)->((rel_k W) V0))
% 230.75/231.14 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 230.75/231.14 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 230.75/231.14 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 230.75/231.14 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 230.75/231.14 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 230.75/231.14 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 230.75/231.14 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 230.75/231.14 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot ((mor (mnot q)) p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot ((mor (mnot q)) p)) V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 230.75/231.14 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 230.75/231.14 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 230.75/231.14 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 230.75/231.14 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 230.75/231.14 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot ((mor (mnot q)) p)) V1)->((rel_k W) V))
% 230.75/231.14 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 230.75/231.14 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 230.75/231.14 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 230.75/231.14 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 230.75/231.14 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 230.75/231.14 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 230.75/231.14 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 238.86/239.25 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot ((mor (mnot q)) p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot ((mor (mnot q)) p)) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 238.86/239.25 Found x30:False
% 238.86/239.25 Found (fun (x4:(q V))=> x30) as proof of False
% 238.86/239.25 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 238.86/239.25 Found x10:False
% 238.86/239.25 Found (fun (x4:(q V0))=> x10) as proof of False
% 238.86/239.25 Found (fun (x4:(q V0))=> x10) as proof of ((q V0)->False)
% 238.86/239.25 Found x30:False
% 238.86/239.25 Found (fun (x4:(q V))=> x30) as proof of False
% 238.86/239.25 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 238.86/239.25 Found x30:False
% 238.86/239.25 Found (fun (x4:(q V))=> x30) as proof of False
% 238.86/239.25 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 238.86/239.25 Found x10:False
% 238.86/239.25 Found (fun (x4:(q V0))=> x10) as proof of False
% 238.86/239.25 Found (fun (x4:(q V0))=> x10) as proof of ((q V0)->False)
% 238.86/239.25 Found x30:False
% 238.86/239.25 Found (fun (x4:(q V))=> x30) as proof of False
% 238.86/239.25 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 238.86/239.25 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 238.86/239.25 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 238.86/239.25 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 238.86/239.25 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 238.86/239.25 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 238.86/239.25 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 238.86/239.25 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 238.86/239.25 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 238.86/239.25 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of (((mnot ((mimplies q) p)) V1)->((rel_k W) V))
% 238.86/239.25 Found False_rect00:=(False_rect0 ((rel_k W) V)):((rel_k W) V)
% 238.86/239.25 Found (False_rect0 ((rel_k W) V)) as proof of ((rel_k W) V)
% 238.86/239.25 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)) as proof of ((rel_k W) V)
% 238.86/239.25 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((rel_k W) V)
% 238.86/239.25 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V))
% 238.86/239.25 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 238.86/239.25 Found (((or_ind2 ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 238.86/239.25 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot ((mimplies q) p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot ((mimplies q) p)) V1)) P) x5) x6) x4)) ((rel_k W) V)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_k W) V)))) as proof of ((rel_k W) V)
% 238.86/239.25 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 238.86/239.25 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 238.86/239.25 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 238.86/239.25 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 238.86/239.25 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of (((mnot ((mimplies q) p)) V1)->((rel_k W) V0))
% 238.86/239.25 Found False_rect00:=(False_rect0 ((rel_k W) V0)):((rel_k W) V0)
% 238.86/239.25 Found (False_rect0 ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 238.86/239.25 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)) as proof of ((rel_k W) V0)
% 245.92/246.36 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((rel_k W) V0)
% 245.92/246.36 Found (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0))) as proof of ((((rel_k W) V1)->False)->((rel_k W) V0))
% 245.92/246.36 Found ((or_ind20 (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 245.92/246.36 Found (((or_ind2 ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 245.92/246.36 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot ((mimplies q) p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot ((mimplies q) p)) V1)) P) x5) x6) x4)) ((rel_k W) V0)) (fun (x5:(((rel_k W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) (fun (x5:((mnot ((mimplies q) p)) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_k W) V0)))) as proof of ((rel_k W) V0)
% 245.92/246.36 Found x30:False
% 245.92/246.36 Found (fun (x4:(q V))=> x30) as proof of False
% 245.92/246.36 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 245.92/246.36 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found x30:False
% 245.92/246.36 Found (fun (x4:(q V))=> x30) as proof of False
% 245.92/246.36 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 245.92/246.36 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found x30:False
% 245.92/246.36 Found (fun (x4:(q V))=> x30) as proof of False
% 245.92/246.36 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 245.92/246.36 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found x30:False
% 245.92/246.36 Found (fun (x4:(q V))=> x30) as proof of False
% 245.92/246.36 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 245.92/246.36 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found x30:False
% 245.92/246.36 Found (fun (x4:(q V))=> x30) as proof of False
% 245.92/246.36 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 245.92/246.36 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found x30:False
% 245.92/246.36 Found (fun (x4:(q V))=> x30) as proof of False
% 245.92/246.36 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 245.92/246.36 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 245.92/246.36 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 255.21/255.60 Found x30:False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 255.21/255.60 Found x30:False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 255.21/255.60 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 255.21/255.60 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 255.21/255.60 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 255.21/255.60 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 255.21/255.60 Found x30:False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 255.21/255.60 Found x30:False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 255.21/255.60 Found x10:False
% 255.21/255.60 Found (fun (x2:(p V00))=> x10) as proof of False
% 255.21/255.60 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 255.21/255.60 Found x10:False
% 255.21/255.60 Found (fun (x2:(p V00))=> x10) as proof of False
% 255.21/255.60 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 255.21/255.60 Found x30:False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 255.21/255.60 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 255.21/255.60 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 255.21/255.60 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 255.21/255.60 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 255.21/255.60 Found x10:False
% 255.21/255.60 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 255.21/255.60 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 255.21/255.60 Found x10:False
% 255.21/255.60 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 255.21/255.60 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 255.21/255.60 Found x10:False
% 255.21/255.60 Found (fun (x4:(q V0))=> x10) as proof of False
% 255.21/255.60 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 255.21/255.60 Found (or_introl10 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 255.21/255.60 Found ((or_introl1 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 255.21/255.60 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 255.21/255.60 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 255.21/255.60 Found x10:False
% 255.21/255.60 Found (fun (x2:(p V00))=> x10) as proof of False
% 255.21/255.60 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 255.21/255.60 Found x10:False
% 255.21/255.60 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 255.21/255.60 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 255.21/255.60 Found x30:False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 255.21/255.60 Found x30:False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of False
% 255.21/255.60 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 255.21/255.60 Found (or_introl10 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 255.21/255.60 Found ((or_introl1 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 255.21/255.60 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 255.21/255.60 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 255.21/255.60 Found x10:False
% 255.21/255.60 Found (fun (x4:(q V0))=> x10) as proof of False
% 255.21/255.60 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 255.21/255.60 Found (or_introl10 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 255.21/255.60 Found ((or_introl1 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 255.21/255.60 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 255.21/255.60 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 255.21/255.60 Found x10:False
% 255.21/255.60 Found (fun (x2:(p V00))=> x10) as proof of False
% 255.21/255.60 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 255.21/255.60 Found x10:False
% 255.21/255.60 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 257.09/257.51 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 257.09/257.51 Found x10:False
% 257.09/257.51 Found (fun (x2:(p V00))=> x10) as proof of False
% 257.09/257.51 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 257.09/257.51 Found x10:False
% 257.09/257.51 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 257.09/257.51 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 257.09/257.51 Found x30:False
% 257.09/257.51 Found (fun (x4:(q V))=> x30) as proof of False
% 257.09/257.51 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 257.09/257.51 Found x10:False
% 257.09/257.51 Found (fun (x2:(p V00))=> x10) as proof of False
% 257.09/257.51 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 257.09/257.51 Found x10:False
% 257.09/257.51 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 257.09/257.51 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 257.09/257.51 Found x10:False
% 257.09/257.51 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 257.09/257.51 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 257.09/257.51 Found x10:False
% 257.09/257.51 Found (fun (x2:(p V00))=> x10) as proof of False
% 257.09/257.51 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 257.09/257.51 Found x10:False
% 257.09/257.51 Found (fun (x2:(p V00))=> x10) as proof of False
% 257.09/257.51 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 257.09/257.51 Found x10:False
% 257.09/257.51 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 257.09/257.51 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 257.09/257.51 Found x10:False
% 257.09/257.51 Found (fun (x2:(p V00))=> x10) as proof of False
% 257.09/257.51 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 257.09/257.51 Found x30:False
% 257.09/257.51 Found (fun (x4:(q V))=> x30) as proof of False
% 257.09/257.51 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 257.09/257.51 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 257.09/257.51 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 257.09/257.51 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 257.09/257.51 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 257.09/257.51 Found x10:False
% 257.09/257.51 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 257.09/257.51 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 257.09/257.51 Found x30:False
% 257.09/257.51 Found (fun (x4:(q V))=> x30) as proof of False
% 257.09/257.51 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 257.09/257.51 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 257.09/257.51 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 257.09/257.51 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 257.09/257.51 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 257.09/257.51 Found x10:False
% 257.09/257.51 Found (fun (x4:(q V0))=> x10) as proof of False
% 257.09/257.51 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 257.09/257.51 Found (or_introl00 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 257.09/257.51 Found ((or_introl0 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 257.09/257.51 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 257.09/257.51 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 257.09/257.51 Found x30:False
% 257.09/257.51 Found (fun (x4:(q V))=> x30) as proof of False
% 257.09/257.51 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 257.09/257.51 Found (or_introl00 (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 257.09/257.51 Found ((or_introl0 (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 257.09/257.51 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 257.09/257.51 Found (((or_introl ((mnot q) V)) (p V)) (fun (x4:(q V))=> x30)) as proof of ((or ((mnot q) V)) (p V))
% 257.09/257.51 Found x10:False
% 257.09/257.51 Found (fun (x4:(q V0))=> x10) as proof of False
% 257.09/257.51 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 257.09/257.51 Found (or_introl00 (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 257.09/257.51 Found ((or_introl0 (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 257.09/257.51 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 281.99/282.39 Found (((or_introl ((mnot q) V0)) (p V0)) (fun (x4:(q V0))=> x10)) as proof of ((or ((mnot q) V0)) (p V0))
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 281.99/282.39 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 281.99/282.39 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 281.99/282.39 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 281.99/282.39 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 281.99/282.39 Found x10:False
% 281.99/282.39 Found (fun (x4:(q V0))=> x10) as proof of False
% 281.99/282.39 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 281.99/282.39 Found x10:False
% 281.99/282.39 Found (fun (x4:(q V0))=> x10) as proof of False
% 281.99/282.39 Found (fun (x4:(q V0))=> x10) as proof of ((mnot q) V0)
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of False
% 281.99/282.39 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 281.99/282.39 Found x10:False
% 281.99/282.39 Found (fun (x4:(q V0))=> x10) as proof of False
% 281.99/282.39 Found (fun (x4:(q V0))=> x10) as proof of ((q V0)->False)
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 281.99/282.39 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 281.99/282.39 Found x10:False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 281.99/282.39 Found x10:False
% 281.99/282.39 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 281.99/282.39 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 281.99/282.39 Found x10:False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 281.99/282.39 Found x10:False
% 281.99/282.39 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 281.99/282.39 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 281.99/282.39 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of False
% 281.99/282.39 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 281.99/282.39 Found x10:False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 281.99/282.39 Found x10:False
% 281.99/282.39 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of False
% 281.99/282.39 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 281.99/282.39 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 281.99/282.39 Found x30:False
% 281.99/282.39 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of False
% 285.33/285.72 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 285.33/285.72 Found x10:False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 285.33/285.72 Found x10:False
% 285.33/285.72 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of False
% 285.33/285.72 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 285.33/285.72 Found x10:False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 285.33/285.72 Found x10:False
% 285.33/285.72 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of False
% 285.33/285.72 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 285.33/285.72 Found x30:False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 285.33/285.72 Found x30:False
% 285.33/285.72 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of False
% 285.33/285.72 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 285.33/285.72 Found x10:False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 285.33/285.72 Found x30:False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 285.33/285.72 Found x30:False
% 285.33/285.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 285.33/285.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 285.33/285.72 Found x30:False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 285.33/285.72 Found x30:False
% 285.33/285.72 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of False
% 285.33/285.72 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x30) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 285.33/285.72 Found x10:False
% 285.33/285.72 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of False
% 285.33/285.72 Found (fun (x5:((mnot ((mor (mnot q)) p)) V1))=> x10) as proof of (((mnot ((mor (mnot q)) p)) V1)->False)
% 285.33/285.72 Found x10:False
% 285.33/285.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 285.33/285.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 285.33/285.72 Found x10:False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 285.33/285.72 Found x30:False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 285.33/285.72 Found x10:False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 285.33/285.72 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 285.33/285.72 Found x10:False
% 285.33/285.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of False
% 285.33/285.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x10) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 285.33/285.72 Found x30:False
% 285.33/285.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of False
% 285.33/285.72 Found (fun (x5:((mnot ((mimplies q) p)) V1))=> x30) as proof of (((mnot ((mimplies q) p)) V1)->False)
% 285.33/285.72 Found x30:False
% 285.33/285.72 Found (fun (x4:(q V))=> x30) as proof of False
% 285.33/285.72 Found (fun (x4:(q V))=> x30) as proof of ((q V)->False)
% 285.33/285.72 Found x30:False
% 285.33/285.72 Found (fun (x4:(q V))=> x30) as proof of False
% 285.33/285.72 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 285.33/285.72 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 285.33/285.72 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 285.33/285.72 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 285.33/285.72 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 285.33/285.72 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 295.69/296.09 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 295.69/296.09 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 295.69/296.09 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 295.69/296.09 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mor (mnot q)) p) V)
% 295.69/296.09 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 295.69/296.09 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 295.69/296.09 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 295.69/296.09 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 295.69/296.09 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mor (mnot q)) p) V)
% 295.69/296.09 Found x30:False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 295.69/296.09 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 295.69/296.09 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 295.69/296.09 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 295.69/296.09 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 295.69/296.09 Found x30:False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 295.69/296.09 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 295.69/296.09 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 295.69/296.09 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 295.69/296.09 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 295.69/296.09 Found x30:False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 295.69/296.09 Found (or_intror10 (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 295.69/296.09 Found ((or_intror1 ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 295.69/296.09 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 295.69/296.09 Found (((or_intror (p V)) ((mnot q) V)) (fun (x4:(q V))=> x30)) as proof of ((or (p V)) ((mnot q) V))
% 295.69/296.09 Found x30:False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 295.69/296.09 Found x30:False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 295.69/296.09 Found x30:False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 295.69/296.09 Found x30:False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 295.69/296.09 Found x30:False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 295.69/296.09 Found x30:False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of False
% 295.69/296.09 Found (fun (x4:(q V))=> x30) as proof of ((mnot q) V)
% 295.69/296.09 Found False_rect00:=(False_rect0 ((or ((mnot q) V)) (p V))):((or ((mnot q) V)) (p V))
% 295.69/296.09 Found (False_rect0 ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 295.69/296.09 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 295.69/296.09 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of ((or ((mnot q) V)) (p V))
% 295.69/296.09 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot q) V)) (p V))) as proof of (((mor (mnot q)) p) V)
% 295.69/296.09 Found False_rect00:=(False_rect0 ((or ((mnot q) V0)) (p V0))):((or ((mnot q) V0)) (p V0))
% 295.69/296.09 Found (False_rect0 ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 295.69/296.09 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 295.69/296.09 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot q) V0)) (p V0))) as proof of ((or ((mnot q) V0)) (p V0))
% 295.69/296.09 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or
%------------------------------------------------------------------------------