TSTP Solution File: SYO465^2 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO465^2 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 00:51:42 EDT 2022
% Result : Timeout 292.26s 292.61s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO465^2 : TPTP v7.5.0. Released v4.0.0.
% 0.00/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % RAMPerCPU : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Mar 13 01:38:02 EST 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.19/0.34 Python 2.7.5
% 0.44/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.44/0.61 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x13a6b00>, <kernel.Type object at 0x13a6a28>) of role type named mu_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mu:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x13a6bd8>, <kernel.DependentProduct object at 0x13a6b00>) of role type named meq_ind_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.44/0.61 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.44/0.61 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.44/0.61 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x13a6b00>, <kernel.DependentProduct object at 0x13a6ab8>) of role type named meq_prop_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.44/0.61 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x13a6b48>, <kernel.DependentProduct object at 0x13a6bd8>) of role type named mnot_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.44/0.61 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.44/0.61 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x13a6bd8>, <kernel.DependentProduct object at 0x13a6320>) of role type named mor_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.44/0.61 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x13a6320>, <kernel.DependentProduct object at 0x13a65a8>) of role type named mand_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.44/0.61 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x13a65a8>, <kernel.DependentProduct object at 0x13a63b0>) of role type named mimplies_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.44/0.61 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x13a63b0>, <kernel.DependentProduct object at 0x13a6758>) of role type named mimplied_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.44/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.44/0.62 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x13a6758>, <kernel.DependentProduct object at 0x13a6bd8>) of role type named mequiv_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.44/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.44/0.62 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x13a6bd8>, <kernel.DependentProduct object at 0x13a6320>) of role type named mxor_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.44/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.44/0.62 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x13a6b00>, <kernel.DependentProduct object at 0x13a6758>) of role type named mforall_ind_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.44/0.62 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.44/0.62 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.44/0.62 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b2c5049cf38>, <kernel.DependentProduct object at 0x13a65a8>) of role type named mforall_prop_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.44/0.62 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.44/0.62 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.44/0.62 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b2c5049ce60>, <kernel.DependentProduct object at 0x13a6128>) of role type named mexists_ind_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.44/0.62 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.44/0.62 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.44/0.63 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x13a6128>, <kernel.DependentProduct object at 0x13a65a8>) of role type named mexists_prop_type
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.44/0.63 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.44/0.63 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.44/0.63 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b2c504c1a28>, <kernel.DependentProduct object at 0x2b2c504c1dd0>) of role type named mtrue_type
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring mtrue:(fofType->Prop)
% 0.44/0.63 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.44/0.63 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.44/0.63 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b2c504c1758>, <kernel.DependentProduct object at 0x13a6128>) of role type named mfalse_type
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring mfalse:(fofType->Prop)
% 0.44/0.63 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.44/0.63 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.44/0.63 Defined: mfalse:=(mnot mtrue)
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b2c504c1a28>, <kernel.DependentProduct object at 0x2b2c504c10e0>) of role type named mbox_type
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.44/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.44/0.63 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b2c504c1638>, <kernel.DependentProduct object at 0x13a6290>) of role type named mdia_type
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.44/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.44/0.63 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b2c504c1758>, <kernel.DependentProduct object at 0x13a61b8>) of role type named mreflexive_type
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.44/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.44/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.44/0.63 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b2c504a41b8>, <kernel.DependentProduct object at 0x13a6998>) of role type named msymmetric_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.48/0.64 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b2c504a4290>, <kernel.DependentProduct object at 0x13a6560>) of role type named mserial_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.48/0.64 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x1241c68>, <kernel.DependentProduct object at 0x13a6a28>) of role type named mtransitive_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.48/0.64 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x1241c68>, <kernel.DependentProduct object at 0x13a6998>) of role type named meuclidean_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.48/0.64 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x1241320>, <kernel.DependentProduct object at 0x13a6710>) of role type named mpartially_functional_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.48/0.64 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x13a6710>, <kernel.DependentProduct object at 0x13a6290>) of role type named mfunctional_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.48/0.65 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x13a6290>, <kernel.DependentProduct object at 0x13a6368>) of role type named mweakly_dense_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.48/0.65 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x13a63b0>, <kernel.DependentProduct object at 0x13a6368>) of role type named mweakly_connected_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.48/0.65 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x13a6248>, <kernel.DependentProduct object at 0x13a6368>) of role type named mweakly_directed_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.48/0.65 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x13a6560>, <kernel.DependentProduct object at 0x13af098>) of role type named mvalid_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mvalid:((fofType->Prop)->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.48/0.65 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x13a63b0>, <kernel.DependentProduct object at 0x13af3b0>) of role type named minvalid_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring minvalid:((fofType->Prop)->Prop)
% 0.48/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.48/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.48/0.66 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x13af4d0>, <kernel.DependentProduct object at 0x13af638>) of role type named msatisfiable_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.48/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.48/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.48/0.66 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x13af3b0>, <kernel.DependentProduct object at 0x13af200>) of role type named mcountersatisfiable_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.48/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.48/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.48/0.66 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.48/0.66 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^2.ax, trying next directory
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b2c504c1a28>, <kernel.DependentProduct object at 0x1241560>) of role type named rel_d_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring rel_d:(fofType->(fofType->Prop))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b2c504c1638>, <kernel.DependentProduct object at 0x12413b0>) of role type named mbox_d_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mbox_d:((fofType->Prop)->(fofType->Prop))
% 0.48/0.66 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_d) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))) of role definition named mbox_d
% 0.48/0.66 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_d) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))))
% 0.48/0.66 Defined: mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b2c504c1a28>, <kernel.DependentProduct object at 0x12413b0>) of role type named mdia_d_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mdia_d:((fofType->Prop)->(fofType->Prop))
% 0.48/0.66 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))) of role definition named mdia_d
% 0.48/0.66 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))))
% 0.48/0.66 Defined: mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))
% 0.48/0.66 FOF formula (mserial rel_d) of role axiom named a1
% 0.48/0.66 A new axiom: (mserial rel_d)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x123e7e8>, <kernel.DependentProduct object at 0x123e488>) of role type named p_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring p:(fofType->Prop)
% 0.48/0.66 FOF formula (mvalid ((mimplies (mbox_d (mdia_d p))) (mdia_d (mbox_d p)))) of role conjecture named prove
% 0.48/0.66 Conjecture to prove = (mvalid ((mimplies (mbox_d (mdia_d p))) (mdia_d (mbox_d p)))):Prop
% 0.48/0.66 Parameter mu_DUMMY:mu.
% 0.48/0.66 Parameter fofType_DUMMY:fofType.
% 0.48/0.66 We need to prove ['(mvalid ((mimplies (mbox_d (mdia_d p))) (mdia_d (mbox_d p))))']
% 0.48/0.66 Parameter mu:Type.
% 0.48/0.66 Parameter fofType:Type.
% 0.48/0.66 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.48/0.66 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.48/0.66 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.66 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.66 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.66 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.66 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.48/0.66 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.48/0.66 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.66 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.66 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.66 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.66 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.66 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.66 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.66 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.66 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.66 Definition mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))):((fofType->(fofType->Prop))->Prop).
% 11.72/11.90 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 11.72/11.90 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 11.72/11.90 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 11.72/11.90 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 11.72/11.90 Parameter rel_d:(fofType->(fofType->Prop)).
% 11.72/11.90 Definition mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 11.72/11.90 Definition mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 11.72/11.90 Axiom a1:(mserial rel_d).
% 11.72/11.90 Parameter p:(fofType->Prop).
% 11.72/11.90 Trying to prove (mvalid ((mimplies (mbox_d (mdia_d p))) (mdia_d (mbox_d p))))
% 11.72/11.90 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 11.72/11.90 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 11.72/11.90 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 11.72/11.90 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 11.72/11.90 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 11.72/11.90 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 11.72/11.90 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 11.72/11.90 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 11.72/11.90 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 11.72/11.90 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 15.16/15.36 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 15.16/15.36 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 15.16/15.36 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 15.16/15.36 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 15.16/15.36 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 15.16/15.36 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 15.16/15.36 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 15.16/15.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 15.16/15.36 Found x10:False
% 15.16/15.36 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 15.16/15.36 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 15.16/15.36 Found x10:False
% 15.16/15.36 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 15.16/15.36 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 15.16/15.36 Found x10:False
% 15.16/15.36 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 15.16/15.36 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 15.16/15.36 Found x10:False
% 15.16/15.36 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of False
% 15.16/15.36 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of (((mdia_d p) V0)->False)
% 15.16/15.36 Found x10:False
% 15.16/15.36 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 15.16/15.36 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 15.16/15.36 Found x10:False
% 15.16/15.36 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 15.16/15.36 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 15.16/15.36 Found x10:False
% 15.16/15.36 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 15.16/15.36 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 29.94/30.18 Found x10:False
% 29.94/30.18 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of False
% 29.94/30.18 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of (((mnot (mbox_d (mnot p))) V0)->False)
% 29.94/30.18 Found x10:False
% 29.94/30.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 29.94/30.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 29.94/30.18 Found x10:False
% 29.94/30.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 29.94/30.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 29.94/30.18 Found x10:False
% 29.94/30.18 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 29.94/30.18 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 29.94/30.18 Found x10:False
% 29.94/30.18 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of False
% 29.94/30.18 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of (((mdia_d p) V0)->False)
% 29.94/30.18 Found x10:False
% 29.94/30.18 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 29.94/30.18 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 29.94/30.18 Found x10:False
% 29.94/30.18 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of False
% 29.94/30.18 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of (((mnot (mbox_d (mnot p))) V0)->False)
% 29.94/30.18 Found x10:False
% 29.94/30.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 29.94/30.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 29.94/30.18 Found x10:False
% 29.94/30.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 29.94/30.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 29.94/30.18 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 29.94/30.18 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 29.94/30.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 29.94/30.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 29.94/30.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 29.94/30.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 29.94/30.18 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 29.94/30.18 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 29.94/30.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 29.94/30.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 29.94/30.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 29.94/30.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 29.94/30.18 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 29.94/30.18 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 29.94/30.18 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 29.94/30.18 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 29.94/30.18 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 29.94/30.18 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 29.94/30.18 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 29.94/30.18 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 33.52/33.69 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 33.52/33.69 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 33.52/33.69 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 33.52/33.69 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 33.52/33.69 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 33.52/33.69 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 33.52/33.69 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 33.52/33.69 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.59 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.59 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 42.40/42.59 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.59 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.59 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.59 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.59 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 42.40/42.60 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 42.40/42.60 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 42.40/42.60 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 42.40/42.60 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 42.40/42.60 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 42.40/42.60 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 48.75/48.94 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 48.75/48.94 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 48.75/48.94 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 48.75/48.94 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 48.75/48.94 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 48.75/48.94 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 48.75/48.94 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 48.75/48.94 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 48.75/48.94 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 53.81/54.01 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 53.81/54.01 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 53.81/54.01 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 53.81/54.01 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 53.81/54.01 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 53.81/54.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 53.81/54.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 53.81/54.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 53.81/54.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 53.81/54.01 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 53.81/54.01 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 53.81/54.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 53.81/54.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 53.81/54.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 53.81/54.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 53.81/54.01 Found x10:False
% 53.81/54.01 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of False
% 53.81/54.01 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of (((mdia_d p) V0)->False)
% 53.81/54.01 Found x10:False
% 53.81/54.01 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 53.81/54.01 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 53.81/54.01 Found x10:False
% 53.81/54.01 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 53.81/54.01 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 53.81/54.01 Found x10:False
% 53.81/54.01 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 53.81/54.01 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 53.81/54.01 Found x10:False
% 53.81/54.01 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 53.81/54.01 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 53.81/54.01 Found x10:False
% 53.81/54.01 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of False
% 53.81/54.01 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of (((mdia_d p) V0)->False)
% 53.81/54.01 Found x10:False
% 53.81/54.01 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 53.81/54.01 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 53.81/54.01 Found x10:False
% 53.81/54.01 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 53.81/54.01 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 53.81/54.01 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 53.81/54.01 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 53.81/54.01 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 53.81/54.01 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 53.81/54.01 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 53.81/54.01 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 53.81/54.01 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 57.93/58.14 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 57.93/58.14 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 57.93/58.14 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 57.93/58.14 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 57.93/58.14 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 57.93/58.14 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d W) V1)->False)))
% 57.93/58.14 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 57.93/58.14 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 57.93/58.14 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 57.93/58.14 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 57.93/58.14 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 57.93/58.14 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 57.93/58.14 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 57.93/58.14 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 57.93/58.14 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 57.93/58.14 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 57.93/58.14 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 57.93/58.14 Found x3:(((rel_d W) V0)->False)
% 57.93/58.14 Instantiate: V0:=V00:fofType;V:=W:fofType
% 57.93/58.14 Found x3 as proof of (((rel_d V) V00)->False)
% 57.93/58.14 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 57.93/58.14 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 57.93/58.14 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 57.93/58.14 Found x3:(((rel_d W) V0)->False)
% 57.93/58.14 Instantiate: V0:=V00:fofType;V:=W:fofType
% 57.93/58.14 Found x3 as proof of (((rel_d V) V00)->False)
% 57.93/58.14 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 57.93/58.14 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 57.93/58.14 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 57.93/58.14 Found x10:False
% 57.93/58.14 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 57.93/58.14 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 57.93/58.14 Found x10:False
% 57.93/58.14 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 57.93/58.14 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 57.93/58.14 Found x10:False
% 57.93/58.14 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of False
% 57.93/58.14 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of (((mnot (mbox_d (mnot p))) V0)->False)
% 57.93/58.14 Found x10:False
% 57.93/58.14 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 57.93/58.14 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 57.93/58.14 Found x10:False
% 57.93/58.14 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 57.93/58.14 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 57.93/58.14 Found x10:False
% 57.93/58.14 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 63.09/63.29 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 63.09/63.29 Found x10:False
% 63.09/63.29 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of False
% 63.09/63.29 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of (((mnot (mbox_d (mnot p))) V0)->False)
% 63.09/63.29 Found x10:False
% 63.09/63.29 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 63.09/63.29 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 63.09/63.29 Found x3:(((rel_d W) V0)->False)
% 63.09/63.29 Instantiate: V0:=V00:fofType;V:=W:fofType
% 63.09/63.29 Found x3 as proof of (((rel_d V) V00)->False)
% 63.09/63.29 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 63.09/63.29 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 63.09/63.29 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 63.09/63.29 Found x1:(((rel_d W) V)->False)
% 63.09/63.29 Instantiate: V0:=W:fofType;V:=V1:fofType
% 63.09/63.29 Found x1 as proof of (((rel_d V0) V1)->False)
% 63.09/63.29 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 63.09/63.29 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 63.09/63.29 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 63.09/63.29 Found x3:(((rel_d W) V0)->False)
% 63.09/63.29 Instantiate: V0:=V00:fofType;V:=W:fofType
% 63.09/63.29 Found x3 as proof of (((rel_d V) V00)->False)
% 63.09/63.29 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 63.09/63.29 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 63.09/63.29 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 63.09/63.29 Found x1:(((rel_d W) V)->False)
% 63.09/63.29 Instantiate: V0:=W:fofType;V:=V1:fofType
% 63.09/63.29 Found x1 as proof of (((rel_d V0) V1)->False)
% 63.09/63.29 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 63.09/63.29 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 63.09/63.29 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 63.09/63.29 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 63.09/63.29 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 63.09/63.29 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 63.09/63.29 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 63.09/63.29 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 63.09/63.29 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 63.09/63.29 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d W) V1)->False)))
% 63.09/63.29 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 63.09/63.29 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 63.09/63.29 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 63.09/63.29 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 63.09/63.29 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 63.09/63.29 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 63.09/63.29 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 63.09/63.29 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 63.09/63.29 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 70.63/70.87 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 70.63/70.87 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V0)))
% 70.63/70.87 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 70.63/70.87 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 70.63/70.87 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 70.63/70.87 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 70.63/70.87 Found x3:(((rel_d W) V0)->False)
% 70.63/70.87 Instantiate: V0:=V00:fofType;V:=W:fofType
% 70.63/70.87 Found x3 as proof of (((rel_d V) V00)->False)
% 70.63/70.87 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 70.63/70.87 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 70.63/70.87 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 70.63/70.87 Found x3:(((rel_d W) V0)->False)
% 70.63/70.87 Instantiate: V0:=V00:fofType;V:=W:fofType
% 70.63/70.87 Found x3 as proof of (((rel_d V) V00)->False)
% 70.63/70.87 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 70.63/70.87 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 70.63/70.87 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 70.63/70.87 Found x2:((rel_d V) V0)
% 70.63/70.87 Instantiate: V1:=V0:fofType;V:=W:fofType
% 70.63/70.87 Found x2 as proof of ((rel_d W) V1)
% 70.63/70.87 Found (x4 x2) as proof of False
% 70.63/70.87 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 70.63/70.87 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 70.63/70.87 Found x3:(((rel_d W) V0)->False)
% 70.63/70.87 Instantiate: V0:=V00:fofType;V:=W:fofType
% 70.63/70.87 Found x3 as proof of (((rel_d V) V00)->False)
% 70.63/70.87 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 70.63/70.87 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 70.63/70.87 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 70.63/70.87 Found x1:(((rel_d W) V)->False)
% 70.63/70.87 Instantiate: V0:=W:fofType;V:=V1:fofType
% 70.63/70.87 Found x1 as proof of (((rel_d V0) V1)->False)
% 70.63/70.87 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 70.63/70.87 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 70.63/70.87 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 70.63/70.87 Found x2:((rel_d V) V0)
% 70.63/70.87 Instantiate: V1:=V0:fofType;V:=W:fofType
% 70.63/70.87 Found x2 as proof of ((rel_d W) V1)
% 70.63/70.87 Found (x4 x2) as proof of False
% 70.63/70.87 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 70.63/70.87 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 70.63/70.87 Found x3:(((rel_d W) V0)->False)
% 70.63/70.87 Instantiate: V0:=V00:fofType;V:=W:fofType
% 70.63/70.87 Found x3 as proof of (((rel_d V) V00)->False)
% 70.63/70.87 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 70.63/70.87 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 70.63/70.87 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 70.63/70.87 Found x1:(((rel_d W) V)->False)
% 70.63/70.87 Instantiate: V0:=W:fofType;V:=V1:fofType
% 70.63/70.87 Found x1 as proof of (((rel_d V0) V1)->False)
% 70.63/70.87 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 70.63/70.87 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 70.63/70.87 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 70.63/70.87 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 70.63/70.87 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 70.63/70.87 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 78.40/78.66 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 78.40/78.66 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 78.40/78.66 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 78.40/78.66 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V0)))
% 78.40/78.66 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 78.40/78.66 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 78.40/78.66 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 78.40/78.66 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 78.40/78.66 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 78.40/78.66 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V0)))
% 78.40/78.66 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 78.40/78.66 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 78.40/78.66 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 78.40/78.66 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 78.40/78.66 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 78.40/78.66 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 78.40/78.66 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 78.40/78.66 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 78.40/78.66 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 78.40/78.66 Found x10:False
% 78.40/78.66 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 78.40/78.66 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 78.40/78.66 Found x10:False
% 78.40/78.66 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of False
% 78.40/78.66 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of (((mdia_d p) V0)->False)
% 78.40/78.66 Found x10:False
% 78.40/78.66 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 78.40/78.66 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 78.40/78.66 Found x10:False
% 78.40/78.66 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 78.40/78.66 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 78.40/78.66 Found x10:False
% 78.40/78.66 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of False
% 78.40/78.66 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of (((mdia_d p) V0)->False)
% 78.40/78.66 Found x10:False
% 78.40/78.66 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 78.40/78.66 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 78.40/78.66 Found x2:((rel_d V) V0)
% 78.40/78.66 Instantiate: V1:=V0:fofType;V:=W:fofType
% 78.40/78.66 Found x2 as proof of ((rel_d W) V1)
% 78.40/78.66 Found (x4 x2) as proof of False
% 78.40/78.66 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 78.40/78.66 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 78.40/78.66 Found x10:False
% 78.40/78.66 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 78.40/78.66 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 78.40/78.66 Found x10:False
% 78.40/78.66 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 78.40/78.66 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 90.06/90.28 Found x2:((rel_d V) V0)
% 90.06/90.28 Instantiate: V1:=V0:fofType;V:=W:fofType
% 90.06/90.28 Found x2 as proof of ((rel_d W) V1)
% 90.06/90.28 Found (x4 x2) as proof of False
% 90.06/90.28 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 90.06/90.28 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 90.06/90.28 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 90.06/90.28 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 90.06/90.28 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 90.06/90.28 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 90.06/90.28 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 90.06/90.28 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 90.06/90.28 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V0)))
% 90.06/90.28 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 90.06/90.28 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 90.06/90.28 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 90.06/90.28 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 90.06/90.28 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 90.06/90.28 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 90.06/90.28 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.06/90.28 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.06/90.28 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.06/90.28 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.06/90.28 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.06/90.28 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d W) V1)->False)))
% 90.06/90.28 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 90.06/90.28 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 90.06/90.28 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 90.06/90.28 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 90.06/90.28 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 90.06/90.28 Found x3:(((rel_d W) V0)->False)
% 90.06/90.28 Instantiate: V0:=V00:fofType;V:=W:fofType
% 90.06/90.28 Found x3 as proof of (((rel_d V) V00)->False)
% 90.06/90.28 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 90.06/90.28 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 90.06/90.28 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 90.06/90.28 Found x10:False
% 90.06/90.28 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 90.06/90.28 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 90.06/90.28 Found x10:False
% 90.06/90.28 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 90.06/90.28 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 102.01/102.32 Found x10:False
% 102.01/102.32 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of False
% 102.01/102.32 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of (((mnot (mbox_d (mnot p))) V0)->False)
% 102.01/102.32 Found x10:False
% 102.01/102.32 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 102.01/102.32 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 102.01/102.32 Found x3:(((rel_d W) V0)->False)
% 102.01/102.32 Instantiate: V0:=V00:fofType;V:=W:fofType
% 102.01/102.32 Found x3 as proof of (((rel_d V) V00)->False)
% 102.01/102.32 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 102.01/102.32 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 102.01/102.32 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 102.01/102.32 Found x10:False
% 102.01/102.32 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 102.01/102.32 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 102.01/102.32 Found x10:False
% 102.01/102.32 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 102.01/102.32 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 102.01/102.32 Found x10:False
% 102.01/102.32 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of False
% 102.01/102.32 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of (((mnot (mbox_d (mnot p))) V0)->False)
% 102.01/102.32 Found x10:False
% 102.01/102.32 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 102.01/102.32 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 102.01/102.32 Found x3:(((rel_d W) V0)->False)
% 102.01/102.32 Instantiate: V0:=V00:fofType;V:=W:fofType
% 102.01/102.32 Found x3 as proof of (((rel_d V) V00)->False)
% 102.01/102.32 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 102.01/102.32 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 102.01/102.32 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 102.01/102.32 Found x1:(((rel_d W) V)->False)
% 102.01/102.32 Instantiate: V0:=W:fofType;V:=V1:fofType
% 102.01/102.32 Found x1 as proof of (((rel_d V0) V1)->False)
% 102.01/102.32 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 102.01/102.32 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 102.01/102.32 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 102.01/102.32 Found x3:(((rel_d W) V0)->False)
% 102.01/102.32 Instantiate: V0:=V00:fofType;V:=W:fofType
% 102.01/102.32 Found x3 as proof of (((rel_d V) V00)->False)
% 102.01/102.32 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 102.01/102.32 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 102.01/102.32 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 102.01/102.32 Found x1:(((rel_d W) V)->False)
% 102.01/102.32 Instantiate: V0:=W:fofType;V:=V1:fofType
% 102.01/102.32 Found x1 as proof of (((rel_d V0) V1)->False)
% 102.01/102.32 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 102.01/102.32 Found ((or_introl0 ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 102.01/102.32 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 102.01/102.32 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 102.01/102.32 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 102.01/102.32 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 102.01/102.32 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 102.01/102.32 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 102.01/102.32 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 102.01/102.32 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d W) V1)->False)))
% 102.01/102.32 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 114.20/114.45 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 114.20/114.45 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 114.20/114.45 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 114.20/114.45 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 114.20/114.45 Found x3:(((rel_d W) V0)->False)
% 114.20/114.45 Instantiate: V0:=V00:fofType;V:=W:fofType
% 114.20/114.45 Found x3 as proof of (((rel_d V) V00)->False)
% 114.20/114.45 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 114.20/114.45 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 114.20/114.45 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 114.20/114.45 Found x3:(((rel_d W) V0)->False)
% 114.20/114.45 Instantiate: V0:=V00:fofType;V:=W:fofType
% 114.20/114.45 Found x3 as proof of (((rel_d V) V00)->False)
% 114.20/114.45 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 114.20/114.45 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 114.20/114.45 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 114.20/114.45 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V0)))
% 114.20/114.45 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 114.20/114.45 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 114.20/114.45 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 114.20/114.45 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 114.20/114.45 Found x3:(((rel_d W) V0)->False)
% 114.20/114.45 Instantiate: V0:=V00:fofType;V:=W:fofType
% 114.20/114.45 Found x3 as proof of (((rel_d V) V00)->False)
% 114.20/114.45 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 114.20/114.45 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 114.20/114.45 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 114.20/114.45 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 114.20/114.45 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 114.20/114.45 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 114.20/114.45 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 114.20/114.45 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 114.20/114.45 Found x1:(((rel_d W) V)->False)
% 114.20/114.45 Instantiate: V0:=W:fofType;V:=V1:fofType
% 114.20/114.45 Found x1 as proof of (((rel_d V0) V1)->False)
% 114.20/114.45 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 114.20/114.45 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 114.20/114.45 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 114.20/114.45 Found x2:((rel_d V) V0)
% 114.20/114.45 Instantiate: V1:=V0:fofType;V:=W:fofType
% 114.20/114.45 Found x2 as proof of ((rel_d W) V1)
% 114.20/114.45 Found (x4 x2) as proof of False
% 114.20/114.45 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 114.20/114.45 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 114.20/114.45 Found x3:(((rel_d W) V0)->False)
% 114.20/114.45 Instantiate: V0:=V00:fofType;V:=W:fofType
% 114.20/114.45 Found x3 as proof of (((rel_d V) V00)->False)
% 114.20/114.45 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 114.20/114.45 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 120.73/121.01 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 120.73/121.01 Found x1:(((rel_d W) V)->False)
% 120.73/121.01 Instantiate: V0:=W:fofType;V:=V1:fofType
% 120.73/121.01 Found x1 as proof of (((rel_d V0) V1)->False)
% 120.73/121.01 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 120.73/121.01 Found ((or_introl0 ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 120.73/121.01 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 120.73/121.01 Found x2:((rel_d V) V0)
% 120.73/121.01 Instantiate: V1:=V0:fofType;V:=W:fofType
% 120.73/121.01 Found x2 as proof of ((rel_d W) V1)
% 120.73/121.01 Found (x4 x2) as proof of False
% 120.73/121.01 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 120.73/121.01 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 120.73/121.01 Found x3:(((rel_d W) V0)->False)
% 120.73/121.01 Instantiate: V0:=V00:fofType;V:=W:fofType
% 120.73/121.01 Found x3 as proof of (((rel_d V) V00)->False)
% 120.73/121.01 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 120.73/121.01 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 120.73/121.01 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 120.73/121.01 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 120.73/121.01 Found (or_comm_i00 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 120.73/121.01 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 120.73/121.01 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 120.73/121.01 Found x3:(((rel_d W) V0)->False)
% 120.73/121.01 Instantiate: V0:=V00:fofType;V:=W:fofType
% 120.73/121.01 Found x3 as proof of (((rel_d V) V00)->False)
% 120.73/121.01 Found (or_intror00 x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 120.73/121.01 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 120.73/121.01 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 120.73/121.01 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 120.73/121.01 Found (or_comm_i00 (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 120.73/121.01 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 120.73/121.01 Found (((or_comm_i ((mnot p) V00)) (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 120.73/121.01 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 120.73/121.01 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 120.73/121.01 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 120.73/121.01 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 120.73/121.01 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 120.73/121.01 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d W) V2)->False)))
% 120.73/121.01 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 120.73/121.01 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 120.73/121.01 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 120.73/121.01 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 126.47/126.72 Found x3:(((rel_d W) V0)->False)
% 126.47/126.72 Instantiate: V0:=V00:fofType;V:=W:fofType
% 126.47/126.72 Found x3 as proof of (((rel_d V) V00)->False)
% 126.47/126.72 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 126.47/126.72 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 126.47/126.72 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 126.47/126.72 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 126.47/126.72 Found (or_comm_i00 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 126.47/126.72 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 126.47/126.72 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 126.47/126.72 Found x1:(((rel_d W) V)->False)
% 126.47/126.72 Instantiate: V0:=W:fofType;V:=V1:fofType
% 126.47/126.72 Found x1 as proof of (((rel_d V0) V1)->False)
% 126.47/126.72 Found (or_intror10 x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 126.47/126.72 Found ((or_intror1 (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 126.47/126.72 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 126.47/126.72 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 126.47/126.72 Found (or_comm_i00 (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 126.47/126.72 Found ((or_comm_i0 (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 126.47/126.72 Found (((or_comm_i (p V1)) (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 126.47/126.72 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 126.47/126.72 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 126.47/126.72 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 126.47/126.72 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 126.47/126.72 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 126.47/126.72 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 126.47/126.72 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V0)))
% 126.47/126.72 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 126.47/126.72 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 126.47/126.72 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 126.47/126.72 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 126.47/126.72 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 126.47/126.72 Found x3:(((rel_d W) V0)->False)
% 126.47/126.72 Instantiate: V0:=V00:fofType;V:=W:fofType
% 126.47/126.72 Found x3 as proof of (((rel_d V) V00)->False)
% 126.47/126.72 Found (or_intror00 x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 126.47/126.72 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 126.47/126.72 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 126.47/126.72 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 126.47/126.72 Found (or_comm_i00 (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 131.60/131.85 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 131.60/131.85 Found (((or_comm_i ((mnot p) V00)) (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 131.60/131.85 Found x1:(((rel_d W) V)->False)
% 131.60/131.85 Instantiate: V0:=W:fofType;V:=V1:fofType
% 131.60/131.85 Found x1 as proof of (((rel_d V0) V1)->False)
% 131.60/131.85 Found (or_intror00 x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 131.60/131.85 Found ((or_intror0 (((rel_d V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 131.60/131.85 Found (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 131.60/131.85 Found (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 131.60/131.85 Found (or_comm_i00 (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 131.60/131.85 Found ((or_comm_i0 (((rel_d V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 131.60/131.85 Found (((or_comm_i ((mnot p) V1)) (((rel_d V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 131.60/131.85 Found x2:((rel_d V) V0)
% 131.60/131.85 Instantiate: V1:=V0:fofType;V:=W:fofType
% 131.60/131.85 Found x2 as proof of ((rel_d W) V1)
% 131.60/131.85 Found (x4 x2) as proof of False
% 131.60/131.85 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 131.60/131.85 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 131.60/131.85 Found x2:((rel_d V) V0)
% 131.60/131.85 Instantiate: V1:=V0:fofType;V:=W:fofType
% 131.60/131.85 Found x2 as proof of ((rel_d W) V1)
% 131.60/131.85 Found (x4 x2) as proof of False
% 131.60/131.85 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 131.60/131.85 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 131.60/131.85 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 131.60/131.85 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 131.60/131.85 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 131.60/131.85 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 131.60/131.85 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 131.60/131.85 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 131.60/131.85 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 131.60/131.85 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 131.60/131.85 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 131.60/131.85 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 131.60/131.85 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 131.60/131.85 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 131.60/131.85 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 131.60/131.85 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 131.60/131.85 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 131.60/131.85 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 131.60/131.85 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 134.83/135.08 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 134.83/135.08 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 134.83/135.08 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 134.83/135.08 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 134.83/135.08 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 134.83/135.08 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 134.83/135.08 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 134.83/135.08 Found x2:((rel_d V) V0)
% 134.83/135.08 Instantiate: V1:=V0:fofType;V:=W:fofType
% 134.83/135.08 Found x2 as proof of ((rel_d W) V1)
% 134.83/135.08 Found (x4 x2) as proof of False
% 134.83/135.08 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 134.83/135.08 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 134.83/135.08 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V0)))
% 134.83/135.08 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 134.83/135.08 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 134.83/135.08 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 134.83/135.08 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 134.83/135.08 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 134.83/135.08 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 134.83/135.08 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 134.83/135.08 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 134.83/135.08 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 134.83/135.08 Found x2:((rel_d V) V0)
% 134.83/135.08 Instantiate: V1:=V0:fofType;V:=W:fofType
% 134.83/135.08 Found x2 as proof of ((rel_d W) V1)
% 134.83/135.08 Found (x4 x2) as proof of False
% 134.83/135.08 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 134.83/135.08 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 134.83/135.08 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 134.83/135.08 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 134.83/135.08 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 134.83/135.08 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 134.83/135.08 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 134.83/135.08 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 134.83/135.08 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d W) V2)->False)))
% 134.83/135.08 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 134.83/135.08 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 134.83/135.08 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 138.99/139.30 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 138.99/139.30 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 138.99/139.30 Found x3:(((rel_d W) V0)->False)
% 138.99/139.30 Instantiate: V0:=V00:fofType;V:=W:fofType
% 138.99/139.30 Found x3 as proof of (((rel_d V) V00)->False)
% 138.99/139.30 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 138.99/139.30 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 138.99/139.30 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 138.99/139.30 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 138.99/139.30 Found (or_comm_i00 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 138.99/139.30 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 138.99/139.30 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 138.99/139.30 Found x3:(((rel_d W) V0)->False)
% 138.99/139.30 Instantiate: V0:=V00:fofType;V:=W:fofType
% 138.99/139.30 Found x3 as proof of (((rel_d V) V00)->False)
% 138.99/139.30 Found (or_intror00 x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 138.99/139.30 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 138.99/139.30 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 138.99/139.30 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 138.99/139.30 Found (or_comm_i00 (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 138.99/139.30 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 138.99/139.30 Found (((or_comm_i ((mnot p) V00)) (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 138.99/139.30 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 138.99/139.30 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 138.99/139.30 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 138.99/139.30 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 138.99/139.30 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 138.99/139.30 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 138.99/139.30 Found or_introl00:=(or_introl0 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 138.99/139.30 Found (or_introl0 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 138.99/139.30 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 138.99/139.30 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 138.99/139.30 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 138.99/139.30 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 138.99/139.30 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V1)))
% 138.99/139.30 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 140.55/140.80 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 140.55/140.80 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 140.55/140.80 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 140.55/140.80 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 140.55/140.80 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 140.55/140.80 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 140.55/140.80 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 140.55/140.80 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 140.55/140.80 Found or_introl00:=(or_introl0 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 140.55/140.80 Found (or_introl0 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 140.55/140.80 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 144.65/144.97 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 144.65/144.97 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 144.65/144.97 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V1)))
% 144.65/144.97 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 144.65/144.97 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 144.65/144.97 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 144.65/144.97 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 144.65/144.97 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 144.65/144.97 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d W) V2)->False)))
% 144.65/144.97 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 144.65/144.97 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 144.65/144.97 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 144.65/144.97 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 144.65/144.97 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 144.65/144.97 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 144.65/144.97 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 144.65/144.97 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 144.65/144.97 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 144.65/144.97 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 144.65/144.97 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 144.65/144.97 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 144.65/144.97 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 144.65/144.97 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 144.65/144.97 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 144.65/144.97 Found x3:(((rel_d W) V0)->False)
% 144.65/144.97 Instantiate: V0:=V00:fofType;V:=W:fofType
% 144.65/144.97 Found x3 as proof of (((rel_d V) V00)->False)
% 144.65/144.97 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 144.65/144.97 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 144.65/144.97 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 144.65/144.97 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 144.65/144.97 Found (or_comm_i00 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 144.65/144.97 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 144.65/144.97 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 148.05/148.35 Found x1:(((rel_d W) V)->False)
% 148.05/148.35 Instantiate: V0:=W:fofType;V:=V1:fofType
% 148.05/148.35 Found x1 as proof of (((rel_d V0) V1)->False)
% 148.05/148.35 Found (or_intror10 x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 148.05/148.35 Found ((or_intror1 (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 148.05/148.35 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 148.05/148.35 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 148.05/148.35 Found (or_comm_i00 (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 148.05/148.35 Found ((or_comm_i0 (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 148.05/148.35 Found (((or_comm_i (p V1)) (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 148.05/148.35 Found x3:(((rel_d W) V0)->False)
% 148.05/148.35 Instantiate: V0:=V00:fofType;V:=W:fofType
% 148.05/148.35 Found x3 as proof of (((rel_d V) V00)->False)
% 148.05/148.35 Found (or_intror00 x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 148.05/148.35 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 148.05/148.35 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 148.05/148.35 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 148.05/148.35 Found (or_comm_i00 (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 148.05/148.35 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 148.05/148.35 Found (((or_comm_i ((mnot p) V00)) (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 148.05/148.35 Found x1:(((rel_d W) V)->False)
% 148.05/148.35 Instantiate: V0:=W:fofType;V:=V1:fofType
% 148.05/148.35 Found x1 as proof of (((rel_d V0) V1)->False)
% 148.05/148.35 Found (or_intror00 x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 148.05/148.35 Found ((or_intror0 (((rel_d V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 148.05/148.35 Found (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 148.05/148.35 Found (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 148.05/148.35 Found (or_comm_i00 (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 148.05/148.35 Found ((or_comm_i0 (((rel_d V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 148.05/148.35 Found (((or_comm_i ((mnot p) V1)) (((rel_d V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 148.05/148.35 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V0)))
% 148.05/148.35 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 148.05/148.35 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 148.05/148.35 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 148.05/148.35 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 148.05/148.35 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 148.05/148.35 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 148.05/148.35 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 148.05/148.35 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.32/154.63 Found x2:((rel_d V) V0)
% 154.32/154.63 Instantiate: V1:=V0:fofType;V:=W:fofType
% 154.32/154.63 Found x2 as proof of ((rel_d W) V1)
% 154.32/154.63 Found (x4 x2) as proof of False
% 154.32/154.63 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 154.32/154.63 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 154.32/154.63 Found x2:((rel_d V) V0)
% 154.32/154.63 Instantiate: V1:=V0:fofType;V:=W:fofType
% 154.32/154.63 Found x2 as proof of ((rel_d W) V1)
% 154.32/154.63 Found (x4 x2) as proof of False
% 154.32/154.63 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 154.32/154.63 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 154.32/154.63 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 154.32/154.63 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 154.32/154.63 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 154.32/154.63 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 154.32/154.63 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 154.32/154.63 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 154.32/154.63 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 154.32/154.63 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 154.32/154.63 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 160.93/161.27 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 160.93/161.27 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 160.93/161.27 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 160.93/161.27 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 160.93/161.27 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 160.93/161.27 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 160.93/161.27 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d W) V2)->False)))
% 160.93/161.27 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 160.93/161.27 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 160.93/161.27 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 160.93/161.27 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 160.93/161.27 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 160.93/161.27 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 160.93/161.27 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 160.93/161.27 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 160.93/161.27 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 160.93/161.27 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 160.93/161.27 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 160.93/161.27 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 160.93/161.27 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 160.93/161.27 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 160.93/161.27 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 160.93/161.27 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 160.93/161.27 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 160.93/161.27 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 160.93/161.27 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 160.93/161.27 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 160.93/161.27 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 160.93/161.27 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 160.93/161.27 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 160.93/161.27 Found or_introl00:=(or_introl0 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 160.93/161.27 Found (or_introl0 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 160.93/161.27 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 161.55/161.84 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 161.55/161.84 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 161.55/161.84 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 161.55/161.84 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 161.55/161.84 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 161.55/161.84 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 161.55/161.84 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V1)))
% 161.55/161.84 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 161.55/161.84 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 161.55/161.84 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 161.55/161.84 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 163.10/163.39 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 163.10/163.39 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 163.10/163.39 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 163.10/163.39 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 163.10/163.39 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 163.10/163.39 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 163.10/163.39 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V1)))
% 163.10/163.39 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 163.10/163.39 Found or_introl00:=(or_introl0 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 163.10/163.39 Found (or_introl0 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 163.10/163.39 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 176.62/176.96 Found x30:False
% 176.62/176.96 Found (fun (x4:(p V0))=> x30) as proof of False
% 176.62/176.96 Found (fun (x4:(p V0))=> x30) as proof of ((mnot p) V0)
% 176.62/176.96 Found x4:((rel_d V) V0)
% 176.62/176.96 Instantiate: V2:=V0:fofType;V:=W:fofType
% 176.62/176.96 Found x4 as proof of ((rel_d W) V2)
% 176.62/176.96 Found (x6 x4) as proof of False
% 176.62/176.96 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 176.62/176.96 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 176.62/176.96 Found x4:((rel_d V) V0)
% 176.62/176.96 Instantiate: V2:=V0:fofType;V:=W:fofType
% 176.62/176.96 Found x4 as proof of ((rel_d W) V2)
% 176.62/176.96 Found (x6 x4) as proof of False
% 176.62/176.96 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 176.62/176.96 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 176.62/176.96 Found x3:(((rel_d W) V0)->False)
% 176.62/176.96 Instantiate: V0:=V00:fofType;V:=W:fofType
% 176.62/176.96 Found x3 as proof of (((rel_d V) V00)->False)
% 176.62/176.96 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 176.62/176.96 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 176.62/176.96 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 176.62/176.96 Found (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 176.62/176.96 Found (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3)) as proof of (((mdia_d p) V1)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 176.62/176.96 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 176.62/176.96 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 176.62/176.96 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mdia_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mdia_d p) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 176.62/176.96 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mdia_d p) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mdia_d p) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V00)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 176.62/176.96 Found x3:(((rel_d W) V0)->False)
% 176.62/176.96 Instantiate: V0:=V00:fofType;V:=W:fofType
% 176.62/176.96 Found x3 as proof of (((rel_d V) V00)->False)
% 176.62/176.96 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 176.62/176.96 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 176.62/176.96 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 176.62/176.96 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 176.62/176.96 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 176.62/176.96 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 176.62/176.96 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 176.62/176.96 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 184.84/185.14 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 184.84/185.14 Found x4:((rel_d V) V0)
% 184.84/185.14 Instantiate: V2:=V0:fofType
% 184.84/185.14 Found x4 as proof of ((rel_d W) V2)
% 184.84/185.14 Found (x6 x4) as proof of False
% 184.84/185.14 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 184.84/185.14 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 184.84/185.14 Found x4:((rel_d V) V0)
% 184.84/185.14 Instantiate: V2:=V0:fofType
% 184.84/185.14 Found x4 as proof of ((rel_d W) V2)
% 184.84/185.14 Found (x6 x4) as proof of False
% 184.84/185.14 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 184.84/185.14 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 184.84/185.14 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 184.84/185.14 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 184.84/185.14 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 184.84/185.14 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 184.84/185.14 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 184.84/185.14 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 184.84/185.14 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 184.84/185.14 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 184.84/185.14 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 184.84/185.14 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 184.84/185.14 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 184.84/185.14 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 184.84/185.14 Found x3:(((rel_d W) V0)->False)
% 184.84/185.14 Instantiate: V0:=V00:fofType;V:=W:fofType
% 184.84/185.14 Found x3 as proof of (((rel_d V) V00)->False)
% 184.84/185.14 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 184.84/185.14 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 184.84/185.14 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 184.84/185.14 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 184.84/185.14 Found (or_comm_i10 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 184.84/185.14 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 184.84/185.14 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 184.84/185.14 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 184.84/185.14 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 184.84/185.14 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 184.84/185.14 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 186.72/187.06 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 186.72/187.06 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 186.72/187.06 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) (p V00))):((or (((rel_d V) V00)->False)) (p V00))
% 186.72/187.06 Found (False_rect0 ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 186.72/187.06 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 186.72/187.06 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 186.72/187.06 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 186.72/187.06 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((mbox_d p) V)
% 186.72/187.06 Found x3:(((rel_d W) V0)->False)
% 186.72/187.06 Instantiate: V0:=V00:fofType;V:=W:fofType
% 186.72/187.06 Found x3 as proof of (((rel_d V) V00)->False)
% 186.72/187.06 Found (or_intror10 x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 186.72/187.06 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 186.72/187.06 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 186.72/187.06 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 186.72/187.06 Found (or_comm_i10 (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 186.72/187.06 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 186.72/187.06 Found (((or_comm_i ((mnot p) V00)) (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 186.72/187.06 Found x3:(((rel_d W) V0)->False)
% 186.72/187.06 Instantiate: V0:=V00:fofType;V:=W:fofType
% 186.72/187.06 Found x3 as proof of (((rel_d V) V00)->False)
% 186.72/187.06 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 186.72/187.06 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 186.72/187.06 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 186.72/187.06 Found (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 186.72/187.06 Found (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3)) as proof of (((mdia_d p) V1)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 186.72/187.06 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 186.72/187.06 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 186.72/187.06 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mdia_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mdia_d p) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 186.72/187.06 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mdia_d p) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mdia_d p) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V00)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 187.04/187.33 Found x3:(((rel_d W) V0)->False)
% 187.04/187.33 Instantiate: V0:=V00:fofType;V:=W:fofType
% 187.04/187.33 Found x3 as proof of (((rel_d V) V00)->False)
% 187.04/187.33 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 187.04/187.33 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 187.04/187.33 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 187.04/187.33 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 187.04/187.33 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 187.04/187.33 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 187.04/187.33 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 187.04/187.33 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 187.04/187.33 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 187.04/187.33 Found x1:(((rel_d W) V)->False)
% 187.04/187.33 Instantiate: V0:=W:fofType;V:=V1:fofType
% 187.04/187.33 Found x1 as proof of (((rel_d V0) V1)->False)
% 187.04/187.33 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 187.04/187.33 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 187.04/187.33 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 187.04/187.33 Found (fun (x5:((mdia_d p) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 187.04/187.33 Found (fun (x5:((mdia_d p) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1)) as proof of (((mdia_d p) V2)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 187.04/187.33 Found ((or_ind20 ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_d p) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 187.04/187.33 Found (((or_ind2 ((or (((rel_d V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_d p) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 187.04/187.33 Found ((((fun (P:Prop) (x5:((((rel_d W) V2)->False)->P)) (x6:(((mdia_d p) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mdia_d p) V2)) P) x5) x6) x4)) ((or (((rel_d V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_d p) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 187.04/187.33 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mdia_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mdia_d p) V1)) P) x5) x6) (x V1))) ((or (((rel_d V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V1))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 195.69/196.00 Found x1:(((rel_d W) V)->False)
% 195.69/196.00 Instantiate: V0:=W:fofType;V:=V1:fofType
% 195.69/196.00 Found x1 as proof of (((rel_d V0) V1)->False)
% 195.69/196.00 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 195.69/196.00 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 195.69/196.00 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 195.69/196.00 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 195.69/196.00 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1)) as proof of (((mnot (mbox_d p)) V2)->((or (((rel_d V0) V1)->False)) (p V1)))
% 195.69/196.00 Found ((or_ind20 ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 195.69/196.00 Found (((or_ind2 ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 195.69/196.00 Found ((((fun (P:Prop) (x5:((((rel_d W) V2)->False)->P)) (x6:(((mnot (mbox_d p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot (mbox_d p)) V2)) P) x5) x6) x4)) ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 195.69/196.00 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) (x V1))) ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V1)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 195.69/196.00 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 195.69/196.00 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 195.69/196.00 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 195.69/196.00 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 195.69/196.00 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 195.69/196.00 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 195.69/196.00 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) ((mnot p) V00))):((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 195.69/196.00 Found (False_rect0 ((or (((rel_d V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 195.69/196.00 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 195.69/196.00 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 195.69/196.00 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 195.69/196.00 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of ((mbox_d (mnot p)) V)
% 195.69/196.00 Found x3:(((rel_d W) V0)->False)
% 195.69/196.00 Instantiate: V0:=V00:fofType;V:=W:fofType
% 195.69/196.00 Found x3 as proof of (((rel_d V) V00)->False)
% 195.69/196.00 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 195.69/196.00 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 198.50/198.82 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 198.50/198.82 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 198.50/198.82 Found (or_comm_i10 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 198.50/198.82 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 198.50/198.82 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 198.50/198.82 Found x1:(((rel_d W) V)->False)
% 198.50/198.82 Instantiate: V0:=W:fofType;V:=V1:fofType
% 198.50/198.82 Found x1 as proof of (((rel_d V0) V1)->False)
% 198.50/198.82 Found (or_intror00 x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 198.50/198.82 Found ((or_intror0 (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 198.50/198.82 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 198.50/198.82 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 198.50/198.82 Found (or_comm_i10 (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 198.50/198.82 Found ((or_comm_i1 (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 198.50/198.82 Found (((or_comm_i (p V1)) (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 198.50/198.82 Found x30:False
% 198.50/198.82 Found (fun (x4:(p V0))=> x30) as proof of False
% 198.50/198.82 Found (fun (x4:(p V0))=> x30) as proof of ((mnot p) V0)
% 198.50/198.82 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) (p V00))):((or (((rel_d V) V00)->False)) (p V00))
% 198.50/198.82 Found (False_rect0 ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 198.50/198.82 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 198.50/198.82 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 198.50/198.82 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 198.50/198.82 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((mbox_d p) V)
% 198.50/198.82 Found False_rect00:=(False_rect0 ((or (((rel_d V0) V1)->False)) (p V1))):((or (((rel_d V0) V1)->False)) (p V1))
% 198.50/198.82 Found (False_rect0 ((or (((rel_d V0) V1)->False)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 198.50/198.82 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 198.50/198.82 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 198.50/198.82 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) (p V)))
% 198.50/198.82 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of ((mbox_d p) V0)
% 198.50/198.82 Found x3:(((rel_d W) V0)->False)
% 198.50/198.82 Instantiate: V0:=V00:fofType;V:=W:fofType
% 198.50/198.82 Found x3 as proof of (((rel_d V) V00)->False)
% 198.50/198.82 Found (or_intror10 x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 198.50/198.82 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 198.50/198.82 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 198.50/198.82 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 198.50/198.82 Found (or_comm_i10 (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 198.50/198.82 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 199.92/200.25 Found (((or_comm_i ((mnot p) V00)) (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 199.92/200.25 Found x1:(((rel_d W) V)->False)
% 199.92/200.25 Instantiate: V0:=W:fofType;V:=V1:fofType
% 199.92/200.25 Found x1 as proof of (((rel_d V0) V1)->False)
% 199.92/200.25 Found (or_intror10 x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 199.92/200.25 Found ((or_intror1 (((rel_d V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 199.92/200.25 Found (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 199.92/200.25 Found (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 199.92/200.25 Found (or_comm_i10 (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 199.92/200.25 Found ((or_comm_i1 (((rel_d V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 199.92/200.25 Found (((or_comm_i ((mnot p) V1)) (((rel_d V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 199.92/200.25 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) ((mnot p) V00))):((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 199.92/200.25 Found (False_rect0 ((or (((rel_d V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 199.92/200.25 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 199.92/200.25 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 199.92/200.25 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 199.92/200.25 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of ((mbox_d (mnot p)) V)
% 199.92/200.25 Found x3:(((rel_d W) V0)->False)
% 199.92/200.25 Instantiate: V0:=V00:fofType;V:=W:fofType
% 199.92/200.25 Found x3 as proof of (((rel_d V) V00)->False)
% 199.92/200.25 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 199.92/200.25 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 199.92/200.25 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 199.92/200.25 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 199.92/200.25 Found False_rect00:=(False_rect0 ((or (((rel_d V0) V1)->False)) ((mnot p) V1))):((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 199.92/200.25 Found (False_rect0 ((or (((rel_d V0) V1)->False)) ((mnot p) V1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 199.92/200.25 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mnot p) V1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 199.92/200.25 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mnot p) V1)))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 199.92/200.25 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mnot p) V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) ((mnot p) V)))
% 199.92/200.25 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mnot p) V1)))) as proof of ((mbox_d (mnot p)) V0)
% 199.92/200.25 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 199.92/200.25 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 199.92/200.25 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 199.92/200.25 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 205.50/205.80 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 205.50/205.80 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d W) V2)->False)))
% 205.50/205.80 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 205.50/205.80 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 205.50/205.80 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 205.50/205.80 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 205.50/205.80 Found x4:((rel_d V) V0)
% 205.50/205.80 Instantiate: V2:=V0:fofType;V:=W:fofType
% 205.50/205.80 Found x4 as proof of ((rel_d W) V2)
% 205.50/205.80 Found (x6 x4) as proof of False
% 205.50/205.80 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 205.50/205.80 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 205.50/205.80 Found x4:((rel_d V) V0)
% 205.50/205.80 Instantiate: V2:=V0:fofType;V:=W:fofType
% 205.50/205.80 Found x4 as proof of ((rel_d W) V2)
% 205.50/205.80 Found (x6 x4) as proof of False
% 205.50/205.80 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 205.50/205.80 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 205.50/205.80 Found x3:(((rel_d W) V0)->False)
% 205.50/205.80 Instantiate: V0:=V00:fofType;V:=W:fofType
% 205.50/205.80 Found x3 as proof of (((rel_d V) V00)->False)
% 205.50/205.80 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 205.50/205.80 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 205.50/205.80 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 205.50/205.80 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 205.50/205.80 Found x30:False
% 205.50/205.80 Found (fun (x4:(p V00))=> x30) as proof of False
% 205.50/205.80 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 205.50/205.80 Found x2:((rel_d V) V0)
% 205.50/205.80 Instantiate: V1:=V0:fofType;V:=W:fofType
% 205.50/205.80 Found x2 as proof of ((rel_d W) V1)
% 205.50/205.80 Found (x4 x2) as proof of False
% 205.50/205.80 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 205.50/205.80 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 205.50/205.80 Found x3:(((rel_d W) V0)->False)
% 205.50/205.80 Instantiate: V0:=V00:fofType;V:=W:fofType
% 205.50/205.80 Found x3 as proof of (((rel_d V) V00)->False)
% 205.50/205.80 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 205.50/205.80 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 205.50/205.80 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 205.50/205.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 205.50/205.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 205.50/205.80 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 205.50/205.80 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 205.50/205.80 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 205.50/205.80 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 209.18/209.56 Found x3:(((rel_d W) V0)->False)
% 209.18/209.56 Instantiate: V0:=V00:fofType;V:=W:fofType
% 209.18/209.56 Found x3 as proof of (((rel_d V) V00)->False)
% 209.18/209.56 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 209.18/209.56 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 209.18/209.56 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 209.18/209.56 Found (fun (x5:((mnot (mbox_d (mnot p))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 209.18/209.56 Found (fun (x5:((mnot (mbox_d (mnot p))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3)) as proof of (((mnot (mbox_d (mnot p))) V1)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 209.18/209.56 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mnot (mbox_d (mnot p))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 209.18/209.56 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mnot (mbox_d (mnot p))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 209.18/209.56 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mnot p))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mnot p))) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mnot (mbox_d (mnot p))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 209.18/209.56 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d (mnot p))) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d (mnot p))) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V00)->False)) ((mnot p) V00))) (fun (x5:((mnot (mbox_d (mnot p))) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 209.18/209.56 Found x2:((rel_d V) V0)
% 209.18/209.56 Instantiate: V1:=V0:fofType;V:=W:fofType
% 209.18/209.56 Found x2 as proof of ((rel_d W) V1)
% 209.18/209.56 Found (x4 x2) as proof of False
% 209.18/209.56 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 209.18/209.56 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 209.18/209.56 Found x4:((rel_d V) V0)
% 209.18/209.56 Instantiate: V2:=V0:fofType
% 209.18/209.56 Found x4 as proof of ((rel_d W) V2)
% 209.18/209.56 Found (x6 x4) as proof of False
% 209.18/209.56 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 209.18/209.56 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 209.18/209.56 Found x4:((rel_d V) V0)
% 209.18/209.56 Instantiate: V2:=V0:fofType
% 209.18/209.56 Found x4 as proof of ((rel_d W) V2)
% 209.18/209.56 Found (x6 x4) as proof of False
% 209.18/209.56 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 209.18/209.56 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 209.18/209.56 Found x3:(((rel_d W) V0)->False)
% 209.18/209.56 Instantiate: V0:=V00:fofType;V:=W:fofType
% 209.18/209.56 Found x3 as proof of (((rel_d V) V00)->False)
% 209.18/209.56 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 209.18/209.56 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 209.18/209.56 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 209.18/209.56 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 209.18/209.56 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 209.18/209.56 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 211.78/212.18 Found or_introl20:=(or_introl2 ((mnot p) V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) ((mnot p) V2)))
% 211.78/212.18 Found (or_introl2 ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 211.78/212.18 Found or_introl10:=(or_introl1 (p V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) (p V2)))
% 211.78/212.18 Found (or_introl1 (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 211.78/212.18 Found or_introl10:=(or_introl1 ((mnot p) V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) ((mnot p) V2)))
% 211.78/212.18 Found (or_introl1 ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 211.78/212.18 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 211.78/212.18 Found x3:(((rel_d W) V0)->False)
% 211.78/212.18 Instantiate: V0:=V00:fofType;V:=W:fofType
% 211.78/212.18 Found x3 as proof of (((rel_d V) V00)->False)
% 211.78/212.18 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 211.78/212.18 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 211.78/212.18 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 211.78/212.18 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 211.78/212.18 Found x3:(((rel_d W) V0)->False)
% 211.78/212.18 Instantiate: V0:=V00:fofType;V:=W:fofType
% 211.78/212.18 Found x3 as proof of (((rel_d V) V00)->False)
% 211.78/212.18 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 211.78/212.18 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 211.78/212.18 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 211.78/212.18 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 211.78/212.18 Found (or_comm_i10 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 211.78/212.18 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 215.29/215.61 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 215.29/215.61 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 215.29/215.61 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 215.29/215.61 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 215.29/215.61 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 215.29/215.61 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 215.29/215.61 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 215.29/215.61 Found x1:(((rel_d W) V)->False)
% 215.29/215.61 Instantiate: V0:=W:fofType;V:=V1:fofType
% 215.29/215.61 Found x1 as proof of (((rel_d V0) V1)->False)
% 215.29/215.61 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 215.29/215.61 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 215.29/215.61 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 215.29/215.61 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 215.29/215.61 Found x3:(((rel_d W) V0)->False)
% 215.29/215.61 Instantiate: V0:=V00:fofType;V:=W:fofType
% 215.29/215.61 Found x3 as proof of (((rel_d V) V00)->False)
% 215.29/215.61 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 215.29/215.61 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 215.29/215.61 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 215.29/215.61 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) (p V00))):((or (((rel_d V) V00)->False)) (p V00))
% 215.29/215.61 Found (False_rect0 ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 215.29/215.61 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 215.29/215.61 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 215.29/215.61 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 215.29/215.61 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((mbox_d p) V)
% 215.29/215.61 Found x3:(((rel_d W) V0)->False)
% 215.29/215.61 Instantiate: V0:=V00:fofType;V:=W:fofType
% 215.29/215.61 Found x3 as proof of (((rel_d V) V00)->False)
% 215.29/215.61 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 215.29/215.61 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 215.29/215.61 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 215.29/215.61 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 215.29/215.61 Found x1:(((rel_d W) V)->False)
% 215.29/215.61 Instantiate: V0:=W:fofType;V:=V1:fofType
% 215.29/215.61 Found x1 as proof of (((rel_d V0) V1)->False)
% 215.29/215.61 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 215.29/215.61 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 215.29/215.61 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 215.29/215.61 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 215.29/215.61 Found x3:(((rel_d W) V0)->False)
% 215.29/215.61 Instantiate: V0:=V00:fofType;V:=W:fofType
% 215.29/215.61 Found x3 as proof of (((rel_d V) V00)->False)
% 215.29/215.61 Found (or_intror10 x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 215.29/215.61 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 215.29/215.61 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 216.52/216.90 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 216.52/216.90 Found (or_comm_i10 (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.52/216.90 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.52/216.90 Found (((or_comm_i ((mnot p) V00)) (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.52/216.90 Found x30:False
% 216.52/216.90 Found (fun (x4:(p V00))=> x30) as proof of False
% 216.52/216.90 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 216.52/216.90 Found x10:False
% 216.52/216.90 Found (fun (x4:(p V1))=> x10) as proof of False
% 216.52/216.90 Found (fun (x4:(p V1))=> x10) as proof of ((mnot p) V1)
% 216.52/216.90 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 216.52/216.90 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 216.52/216.90 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 216.52/216.90 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 216.52/216.90 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 216.52/216.90 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 216.52/216.90 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 216.52/216.90 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 216.52/216.90 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 216.52/216.90 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 216.52/216.90 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 216.52/216.90 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 216.52/216.90 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) ((mnot p) V00))):((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.52/216.90 Found (False_rect0 ((or (((rel_d V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.52/216.90 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.52/216.90 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.52/216.90 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 216.52/216.90 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of ((mbox_d (mnot p)) V)
% 216.52/216.90 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 216.52/216.90 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 216.52/216.90 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 216.52/216.90 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 216.52/216.90 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 216.52/216.90 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 216.97/217.32 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 216.97/217.32 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 216.97/217.32 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 216.97/217.32 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 216.97/217.32 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 216.97/217.32 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 216.97/217.32 Found x3:(((rel_d W) V0)->False)
% 216.97/217.32 Instantiate: V0:=V00:fofType;V:=W:fofType
% 216.97/217.32 Found x3 as proof of (((rel_d V) V00)->False)
% 216.97/217.32 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.97/217.32 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.97/217.32 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.97/217.32 Found (fun (x5:((mnot (mbox_d (mnot p))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.97/217.32 Found (fun (x5:((mnot (mbox_d (mnot p))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3)) as proof of (((mnot (mbox_d (mnot p))) V1)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 216.97/217.32 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mnot (mbox_d (mnot p))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.97/217.32 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mnot (mbox_d (mnot p))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.97/217.32 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mnot p))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mnot p))) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mnot (mbox_d (mnot p))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.97/217.32 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d (mnot p))) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d (mnot p))) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V00)->False)) ((mnot p) V00))) (fun (x5:((mnot (mbox_d (mnot p))) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 216.97/217.32 Found x3:(((rel_d W) V0)->False)
% 216.97/217.32 Instantiate: V0:=V00:fofType;V:=W:fofType
% 216.97/217.32 Found x3 as proof of (((rel_d V) V00)->False)
% 216.97/217.32 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 216.97/217.32 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 216.97/217.32 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 216.97/217.32 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 216.97/217.32 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 216.97/217.32 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 216.97/217.32 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 217.18/217.50 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 217.18/217.50 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 217.18/217.50 Found x1:(((rel_d W) V)->False)
% 217.18/217.50 Instantiate: V0:=W:fofType;V:=V1:fofType
% 217.18/217.50 Found x1 as proof of (((rel_d V0) V1)->False)
% 217.18/217.50 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 217.18/217.50 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 217.18/217.50 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 217.18/217.50 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 217.18/217.50 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1)) as proof of (((mnot (mbox_d p)) V2)->((or (((rel_d V0) V1)->False)) (p V1)))
% 217.18/217.50 Found ((or_ind20 ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 217.18/217.50 Found (((or_ind2 ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 217.18/217.51 Found ((((fun (P:Prop) (x5:((((rel_d W) V2)->False)->P)) (x6:(((mnot (mbox_d p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot (mbox_d p)) V2)) P) x5) x6) x4)) ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 217.18/217.51 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) (x V1))) ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V1)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 217.18/217.51 Found x1:(((rel_d W) V)->False)
% 217.18/217.51 Instantiate: V0:=W:fofType;V:=V1:fofType
% 217.18/217.51 Found x1 as proof of (((rel_d V0) V1)->False)
% 217.18/217.51 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 217.18/217.51 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 217.18/217.51 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 217.18/217.51 Found (fun (x5:((mnot (mbox_d (mnot p))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 217.18/217.51 Found (fun (x5:((mnot (mbox_d (mnot p))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1)) as proof of (((mnot (mbox_d (mnot p))) V2)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 217.18/217.51 Found ((or_ind20 ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1))) (fun (x5:((mnot (mbox_d (mnot p))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 217.18/217.51 Found (((or_ind2 ((or (((rel_d V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1))) (fun (x5:((mnot (mbox_d (mnot p))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 219.58/219.97 Found ((((fun (P:Prop) (x5:((((rel_d W) V2)->False)->P)) (x6:(((mnot (mbox_d (mnot p))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot (mbox_d (mnot p))) V2)) P) x5) x6) x4)) ((or (((rel_d V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1))) (fun (x5:((mnot (mbox_d (mnot p))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 219.58/219.97 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mnot p))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mnot p))) V1)) P) x5) x6) (x V1))) ((or (((rel_d V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V1))) (fun (x5:((mnot (mbox_d (mnot p))) V1))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 219.58/219.97 Found x30:False
% 219.58/219.97 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of False
% 219.58/219.97 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of (((mnot (mbox_d p)) V1)->False)
% 219.58/219.97 Found x30:False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 219.58/219.97 Found x30:False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 219.58/219.97 Found x30:False
% 219.58/219.97 Found (fun (x5:((mdia_d p) V1))=> x30) as proof of False
% 219.58/219.97 Found (fun (x5:((mdia_d p) V1))=> x30) as proof of (((mdia_d p) V1)->False)
% 219.58/219.97 Found x10:False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 219.58/219.97 Found x10:False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 219.58/219.97 Found x10:False
% 219.58/219.97 Found (fun (x5:((mdia_d p) V1))=> x10) as proof of False
% 219.58/219.97 Found (fun (x5:((mdia_d p) V1))=> x10) as proof of (((mdia_d p) V1)->False)
% 219.58/219.97 Found x10:False
% 219.58/219.97 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of False
% 219.58/219.97 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of (((mnot (mbox_d p)) V1)->False)
% 219.58/219.97 Found x3:(((rel_d W) V0)->False)
% 219.58/219.97 Instantiate: V0:=V00:fofType;V:=W:fofType
% 219.58/219.97 Found x3 as proof of (((rel_d V) V00)->False)
% 219.58/219.97 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 219.58/219.97 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 219.58/219.97 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 219.58/219.97 Found x30:False
% 219.58/219.97 Found (fun (x5:((mdia_d p) V1))=> x30) as proof of False
% 219.58/219.97 Found (fun (x5:((mdia_d p) V1))=> x30) as proof of (((mdia_d p) V1)->False)
% 219.58/219.97 Found x10:False
% 219.58/219.97 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of False
% 219.58/219.97 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of (((mnot (mbox_d p)) V1)->False)
% 219.58/219.97 Found x30:False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 219.58/219.97 Found x10:False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 219.58/219.97 Found x10:False
% 219.58/219.97 Found (fun (x5:((mdia_d p) V1))=> x10) as proof of False
% 219.58/219.97 Found (fun (x5:((mdia_d p) V1))=> x10) as proof of (((mdia_d p) V1)->False)
% 219.58/219.97 Found x30:False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 219.58/219.97 Found x30:False
% 219.58/219.97 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of False
% 219.58/219.97 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of (((mnot (mbox_d p)) V1)->False)
% 219.58/219.97 Found x10:False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 219.58/219.97 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 219.58/219.97 Found x1:(((rel_d W) V)->False)
% 219.58/219.97 Instantiate: V0:=W:fofType;V:=V1:fofType
% 223.39/223.76 Found x1 as proof of (((rel_d V0) V1)->False)
% 223.39/223.76 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 223.39/223.76 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 223.39/223.76 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 223.39/223.76 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d W) V2)->False)))
% 223.39/223.76 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 223.39/223.76 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 223.39/223.76 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 223.39/223.76 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 223.39/223.76 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 223.39/223.76 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 223.39/223.76 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 223.39/223.76 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 223.39/223.76 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 223.39/223.76 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 223.39/223.76 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 223.39/223.76 Found x3:(((rel_d W) V0)->False)
% 223.39/223.76 Instantiate: V0:=V00:fofType;V:=W:fofType
% 223.39/223.76 Found x3 as proof of (((rel_d V) V00)->False)
% 223.39/223.76 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 223.39/223.76 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 223.39/223.76 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 223.39/223.76 Found x3:(((rel_d W) V0)->False)
% 223.39/223.76 Instantiate: V0:=V00:fofType;V:=W:fofType
% 223.39/223.76 Found x3 as proof of (((rel_d V) V00)->False)
% 223.39/223.76 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 223.39/223.76 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 223.39/223.76 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 223.39/223.76 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 223.39/223.76 Found (or_comm_i10 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 223.39/223.76 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 223.39/223.76 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 223.39/223.76 Found x1:(((rel_d W) V)->False)
% 223.39/223.76 Instantiate: V0:=W:fofType;V:=V1:fofType
% 223.39/223.76 Found x1 as proof of (((rel_d V0) V1)->False)
% 223.39/223.76 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 223.39/223.76 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 223.39/223.76 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 223.39/223.76 Found x1:(((rel_d W) V)->False)
% 223.39/223.76 Instantiate: V0:=W:fofType;V:=V1:fofType
% 223.39/223.76 Found x1 as proof of (((rel_d V0) V1)->False)
% 223.39/223.76 Found (or_intror00 x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 223.39/223.76 Found ((or_intror0 (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 223.39/223.76 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 227.47/227.82 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 227.47/227.82 Found (or_comm_i10 (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 227.47/227.82 Found ((or_comm_i1 (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 227.47/227.82 Found (((or_comm_i (p V1)) (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 227.47/227.82 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) (p V00))):((or (((rel_d V) V00)->False)) (p V00))
% 227.47/227.82 Found (False_rect0 ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.47/227.82 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.47/227.82 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.47/227.82 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 227.47/227.82 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((mbox_d p) V)
% 227.47/227.82 Found False_rect00:=(False_rect0 ((or (((rel_d V0) V1)->False)) (p V1))):((or (((rel_d V0) V1)->False)) (p V1))
% 227.47/227.82 Found (False_rect0 ((or (((rel_d V0) V1)->False)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 227.47/227.82 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 227.47/227.82 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 227.47/227.82 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) (p V)))
% 227.47/227.82 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of ((mbox_d p) V0)
% 227.47/227.82 Found x3:(((rel_d W) V0)->False)
% 227.47/227.82 Instantiate: V0:=V00:fofType;V:=W:fofType
% 227.47/227.82 Found x3 as proof of (((rel_d V) V00)->False)
% 227.47/227.82 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.47/227.82 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.47/227.82 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.47/227.82 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.47/227.82 Found x3:(((rel_d W) V0)->False)
% 227.47/227.82 Instantiate: V0:=V00:fofType;V:=W:fofType
% 227.47/227.82 Found x3 as proof of (((rel_d V) V00)->False)
% 227.47/227.82 Found (or_intror10 x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 227.47/227.82 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 227.47/227.82 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 227.47/227.82 Found (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_d V) V00)->False))
% 227.47/227.82 Found (or_comm_i10 (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 227.47/227.82 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 227.47/227.82 Found (((or_comm_i ((mnot p) V00)) (((rel_d V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 227.47/227.82 Found x1:(((rel_d W) V)->False)
% 227.47/227.82 Instantiate: V0:=W:fofType;V:=V1:fofType
% 227.47/227.82 Found x1 as proof of (((rel_d V0) V1)->False)
% 227.47/227.82 Found (or_intror10 x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 227.47/227.82 Found ((or_intror1 (((rel_d V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 227.47/227.82 Found (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 228.67/229.01 Found (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_d V0) V1)->False))
% 228.67/229.01 Found (or_comm_i10 (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 228.67/229.01 Found ((or_comm_i1 (((rel_d V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 228.67/229.01 Found (((or_comm_i ((mnot p) V1)) (((rel_d V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 228.67/229.01 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 228.67/229.01 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 228.67/229.01 Found or_introl10:=(or_introl1 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 228.67/229.01 Found (or_introl1 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 228.67/229.01 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 228.67/229.01 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 228.67/229.01 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V1)))
% 228.67/229.01 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 228.67/229.01 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 228.67/229.01 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) ((mnot p) V00))):((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 228.67/229.01 Found (False_rect0 ((or (((rel_d V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 228.67/229.01 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 229.29/229.62 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 229.29/229.62 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 229.29/229.62 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of ((mbox_d (mnot p)) V)
% 229.29/229.62 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 229.29/229.62 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 229.29/229.62 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 229.29/229.62 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 229.29/229.62 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 229.29/229.62 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 229.29/229.62 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 229.29/229.62 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 229.29/229.62 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 229.29/229.62 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 229.29/229.62 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 229.29/229.62 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 229.29/229.62 Found False_rect00:=(False_rect0 ((or (((rel_d V0) V1)->False)) ((mnot p) V1))):((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 229.29/229.62 Found (False_rect0 ((or (((rel_d V0) V1)->False)) ((mnot p) V1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 229.29/229.62 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mnot p) V1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 229.29/229.62 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mnot p) V1)))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 229.29/229.62 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mnot p) V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) ((mnot p) V)))
% 229.29/229.62 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mnot p) V1)))) as proof of ((mbox_d (mnot p)) V0)
% 229.29/229.62 Found or_introl10:=(or_introl1 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 229.29/229.62 Found (or_introl1 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 229.29/229.62 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 229.29/229.62 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 229.29/229.62 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 229.29/229.62 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 229.29/229.62 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V1)))
% 229.29/229.62 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 229.29/229.62 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 238.07/238.43 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 238.07/238.43 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 238.07/238.43 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 238.07/238.43 Found x3:(((rel_d W) V0)->False)
% 238.07/238.43 Instantiate: V0:=V00:fofType;V:=W:fofType
% 238.07/238.43 Found x3 as proof of (((rel_d V) V00)->False)
% 238.07/238.43 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 238.07/238.43 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 238.07/238.43 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 238.07/238.43 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 238.07/238.43 Found x30:False
% 238.07/238.43 Found (fun (x4:(p V00))=> x30) as proof of False
% 238.07/238.43 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 238.07/238.43 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d W) V2)->False)))
% 238.07/238.43 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 238.07/238.43 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 238.07/238.43 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 238.07/238.43 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 238.07/238.43 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 238.07/238.43 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 238.07/238.43 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 238.07/238.43 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 238.07/238.43 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 238.07/238.43 Found x2:((rel_d V) V0)
% 238.07/238.43 Instantiate: V1:=V0:fofType;V:=W:fofType
% 238.07/238.43 Found x2 as proof of ((rel_d W) V1)
% 238.07/238.43 Found (x4 x2) as proof of False
% 238.07/238.43 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 238.07/238.43 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 238.07/238.43 Found x3:(((rel_d W) V0)->False)
% 238.07/238.43 Instantiate: V0:=V00:fofType;V:=W:fofType
% 238.07/238.43 Found x3 as proof of (((rel_d V) V00)->False)
% 238.07/238.43 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 238.07/238.43 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 238.07/238.43 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 238.07/238.43 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 238.07/238.43 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 238.07/238.43 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 238.07/238.43 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 238.07/238.43 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 238.07/238.43 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 238.07/238.43 Found x2:((rel_d V) V0)
% 238.07/238.43 Instantiate: V1:=V0:fofType;V:=W:fofType
% 238.07/238.43 Found x2 as proof of ((rel_d W) V1)
% 238.07/238.43 Found (x4 x2) as proof of False
% 238.07/238.43 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 240.50/240.87 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 240.50/240.87 Found x3:(((rel_d W) V0)->False)
% 240.50/240.87 Instantiate: V0:=V00:fofType;V:=W:fofType
% 240.50/240.87 Found x3 as proof of (((rel_d V) V00)->False)
% 240.50/240.87 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 240.50/240.87 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 240.50/240.87 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 240.50/240.87 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 240.50/240.87 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 240.50/240.87 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 240.50/240.87 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 240.50/240.87 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 240.50/240.87 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 240.50/240.87 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 240.50/240.87 Found x3:(((rel_d W) V0)->False)
% 240.50/240.87 Instantiate: V0:=V00:fofType;V:=W:fofType
% 240.50/240.87 Found x3 as proof of (((rel_d V) V00)->False)
% 240.50/240.87 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 240.50/240.87 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 240.50/240.87 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 240.50/240.87 Found x1:(((rel_d W) V)->False)
% 240.50/240.87 Instantiate: V0:=W:fofType;V:=V1:fofType
% 240.50/240.87 Found x1 as proof of (((rel_d V0) V1)->False)
% 240.50/240.87 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 240.50/240.87 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 240.50/240.87 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 240.50/240.87 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 240.50/240.87 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 240.50/240.87 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 240.50/240.87 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 240.50/240.87 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 240.50/240.87 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 240.50/240.87 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 240.50/240.87 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 240.50/240.87 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 240.50/240.87 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 240.50/240.87 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 240.50/240.87 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 240.50/240.87 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 240.50/240.87 Found x30:False
% 240.50/240.87 Found (fun (x4:(p V00))=> x30) as proof of False
% 240.50/240.87 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 240.50/240.87 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 240.50/240.87 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 243.98/244.36 Found (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 243.98/244.36 Found (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 243.98/244.36 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 243.98/244.36 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 243.98/244.36 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 243.98/244.36 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 243.98/244.36 Found x3:(((rel_d W) V0)->False)
% 243.98/244.36 Instantiate: V0:=V00:fofType;V:=W:fofType
% 243.98/244.36 Found x3 as proof of (((rel_d V) V00)->False)
% 243.98/244.36 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 243.98/244.36 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 243.98/244.36 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 243.98/244.36 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 243.98/244.36 Found x1:(((rel_d W) V)->False)
% 243.98/244.36 Instantiate: V0:=W:fofType;V:=V1:fofType
% 243.98/244.36 Found x1 as proof of (((rel_d V0) V1)->False)
% 243.98/244.36 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 243.98/244.36 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 243.98/244.36 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 243.98/244.36 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 243.98/244.36 Found or_introl10:=(or_introl1 (p V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) (p V2)))
% 243.98/244.36 Found (or_introl1 (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 243.98/244.36 Found or_introl20:=(or_introl2 ((mnot p) V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) ((mnot p) V2)))
% 243.98/244.36 Found (or_introl2 ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 243.98/244.36 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 248.67/249.01 Found x30:False
% 248.67/249.01 Found (fun (x4:(p V00))=> x30) as proof of False
% 248.67/249.01 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 248.67/249.01 Found or_introl10:=(or_introl1 ((mnot p) V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) ((mnot p) V2)))
% 248.67/249.01 Found (or_introl1 ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mnot p) V2)))
% 248.67/249.01 Found x10:False
% 248.67/249.01 Found (fun (x4:(p V1))=> x10) as proof of False
% 248.67/249.01 Found (fun (x4:(p V1))=> x10) as proof of ((mnot p) V1)
% 248.67/249.01 Found x3:(((rel_d W) V0)->False)
% 248.67/249.01 Instantiate: V0:=V00:fofType;V:=W:fofType
% 248.67/249.01 Found x3 as proof of (((rel_d V) V00)->False)
% 248.67/249.01 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 248.67/249.01 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 248.67/249.01 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 248.67/249.01 Found x1:(((rel_d W) V)->False)
% 248.67/249.01 Instantiate: V0:=W:fofType;V:=V1:fofType
% 248.67/249.01 Found x1 as proof of (((rel_d V0) V1)->False)
% 248.67/249.01 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 248.67/249.01 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 248.67/249.01 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 248.67/249.01 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 248.67/249.01 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 248.67/249.01 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 248.67/249.01 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 248.67/249.01 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 248.67/249.01 Found x30:False
% 248.67/249.01 Found (fun (x4:(p V00))=> x30) as proof of False
% 248.67/249.01 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 248.67/249.01 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 248.67/249.01 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 249.38/249.80 Found (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 249.38/249.80 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 249.38/249.80 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 249.38/249.80 Found x30:False
% 249.38/249.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of False
% 249.38/249.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of (((mnot (mbox_d p)) V1)->False)
% 249.38/249.80 Found x30:False
% 249.38/249.80 Found (fun (x5:((mnot (mbox_d (mnot p))) V1))=> x30) as proof of False
% 249.38/249.80 Found (fun (x5:((mnot (mbox_d (mnot p))) V1))=> x30) as proof of (((mnot (mbox_d (mnot p))) V1)->False)
% 249.38/249.80 Found x30:False
% 249.38/249.80 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 249.38/249.80 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 249.38/249.80 Found x30:False
% 249.38/249.80 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 249.38/249.80 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 249.38/249.80 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 249.38/249.80 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 249.38/249.80 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 249.38/249.80 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 249.38/249.80 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 249.38/249.80 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 249.38/249.80 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 249.38/249.80 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 249.38/249.80 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 249.38/249.80 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 249.38/249.80 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 249.38/249.80 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 249.38/249.80 Found x10:False
% 249.38/249.80 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 249.38/249.80 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 249.38/249.80 Found x10:False
% 249.38/249.80 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 249.38/249.80 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 249.38/249.80 Found x10:False
% 249.38/249.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of False
% 249.38/249.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of (((mnot (mbox_d p)) V1)->False)
% 249.38/249.80 Found x10:False
% 249.38/249.80 Found (fun (x5:((mnot (mbox_d (mnot p))) V1))=> x10) as proof of False
% 249.38/249.80 Found (fun (x5:((mnot (mbox_d (mnot p))) V1))=> x10) as proof of (((mnot (mbox_d (mnot p))) V1)->False)
% 249.38/249.80 Found x30:False
% 249.38/249.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of False
% 249.38/249.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of (((mnot (mbox_d p)) V1)->False)
% 249.38/249.80 Found x10:False
% 249.38/249.80 Found (fun (x5:((mnot (mbox_d (mnot p))) V1))=> x10) as proof of False
% 249.38/249.80 Found (fun (x5:((mnot (mbox_d (mnot p))) V1))=> x10) as proof of (((mnot (mbox_d (mnot p))) V1)->False)
% 249.38/249.80 Found x10:False
% 249.38/249.80 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 249.38/249.80 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 249.38/249.80 Found x30:False
% 249.38/249.80 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 254.67/255.04 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 254.67/255.04 Found x10:False
% 254.67/255.04 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of False
% 254.67/255.04 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of (((mnot (mbox_d p)) V1)->False)
% 254.67/255.04 Found x10:False
% 254.67/255.04 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 254.67/255.04 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 254.67/255.04 Found x30:False
% 254.67/255.04 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 254.67/255.04 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 254.67/255.04 Found x30:False
% 254.67/255.04 Found (fun (x5:((mnot (mbox_d (mnot p))) V1))=> x30) as proof of False
% 254.67/255.04 Found (fun (x5:((mnot (mbox_d (mnot p))) V1))=> x30) as proof of (((mnot (mbox_d (mnot p))) V1)->False)
% 254.67/255.04 Found x3:(((rel_d W) V0)->False)
% 254.67/255.04 Instantiate: V0:=V00:fofType;V:=W:fofType
% 254.67/255.04 Found x3 as proof of (((rel_d V) V00)->False)
% 254.67/255.04 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 254.67/255.04 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 254.67/255.04 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 254.67/255.04 Found x1:(((rel_d W) V)->False)
% 254.67/255.04 Instantiate: V0:=W:fofType;V:=V1:fofType
% 254.67/255.04 Found x1 as proof of (((rel_d V0) V1)->False)
% 254.67/255.04 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 254.67/255.04 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 254.67/255.04 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 254.67/255.04 Found x10:False
% 254.67/255.04 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of False
% 254.67/255.04 Found (fun (x3:((mdia_d p) V0))=> x10) as proof of (((mdia_d p) V0)->False)
% 254.67/255.04 Found x10:False
% 254.67/255.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 254.67/255.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 254.67/255.04 Found x30:False
% 254.67/255.04 Found (fun (x4:(p V00))=> x30) as proof of False
% 254.67/255.04 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 254.67/255.04 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 254.67/255.04 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 254.67/255.04 Found (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 254.67/255.04 Found (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 254.67/255.04 Found x10:False
% 254.67/255.04 Found (fun (x4:(p V1))=> x10) as proof of False
% 254.67/255.04 Found (fun (x4:(p V1))=> x10) as proof of ((mnot p) V1)
% 254.67/255.04 Found (or_intror00 (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 254.67/255.04 Found ((or_intror0 ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 254.67/255.04 Found (((or_intror (((rel_d V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 254.67/255.04 Found (((or_intror (((rel_d V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 254.67/255.04 Found x10:False
% 254.67/255.04 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 254.67/255.04 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 254.67/255.04 Found x10:False
% 254.67/255.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 254.67/255.04 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 254.67/255.04 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d W) V2)->False)))
% 254.67/255.04 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 254.67/255.04 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 254.67/255.04 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 259.88/260.26 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 259.88/260.26 Found ((or_intror ((mnot p) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 259.88/260.26 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 259.88/260.26 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 259.88/260.26 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 259.88/260.26 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 259.88/260.26 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 259.88/260.26 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 259.88/260.26 Found x30:False
% 259.88/260.26 Found (fun (x4:(p V0))=> x30) as proof of False
% 259.88/260.26 Found (fun (x4:(p V0))=> x30) as proof of ((mnot p) V0)
% 259.88/260.26 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 259.88/260.26 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 259.88/260.26 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 259.88/260.26 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 259.88/260.26 Found or_introl10:=(or_introl1 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 259.88/260.26 Found (or_introl1 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 259.88/260.26 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V1)))
% 259.88/260.26 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 259.88/260.26 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 261.19/261.56 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 261.19/261.56 Found x30:False
% 261.19/261.56 Found (fun (x4:(p V00))=> x30) as proof of False
% 261.19/261.56 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 261.19/261.56 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 261.19/261.56 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 261.19/261.56 Found (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 261.19/261.56 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 261.19/261.56 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 261.19/261.56 Found x10:False
% 261.19/261.56 Found (fun (x4:(p V1))=> x10) as proof of False
% 261.19/261.56 Found (fun (x4:(p V1))=> x10) as proof of ((mnot p) V1)
% 261.19/261.56 Found (or_intror00 (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 261.19/261.56 Found ((or_intror0 ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 261.19/261.56 Found (((or_intror (((rel_d V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 261.19/261.56 Found (fun (V1:fofType)=> (((or_intror (((rel_d V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 261.19/261.56 Found (fun (V1:fofType)=> (((or_intror (((rel_d V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) ((mnot p) V)))
% 261.19/261.56 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V00)))
% 261.19/261.56 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 261.19/261.56 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 261.19/261.56 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 261.19/261.56 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 261.19/261.56 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 261.19/261.56 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 261.19/261.56 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 261.19/261.56 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 261.19/261.56 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 261.19/261.56 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 261.19/261.56 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 261.19/261.56 Found or_introl10:=(or_introl1 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 261.19/261.56 Found (or_introl1 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 261.19/261.56 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 261.19/261.56 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 261.19/261.56 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 261.19/261.56 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 265.59/265.97 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mnot p) V1)))
% 265.59/265.97 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 265.59/265.97 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 265.59/265.97 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 265.59/265.97 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 265.59/265.97 Found ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 265.59/265.97 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 265.59/265.97 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 265.59/265.97 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d W) V1)->False)))
% 265.59/265.97 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 265.59/265.97 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 265.59/265.97 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 265.59/265.97 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 265.59/265.97 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 265.59/265.97 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 265.59/265.97 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 265.59/265.97 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d W) V1)->False)))
% 265.59/265.97 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 277.76/278.18 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 277.76/278.18 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 277.76/278.18 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 277.76/278.18 Found ((or_intror ((mnot p) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mnot p) V0)) (((rel_d V) V0)->False)))
% 277.76/278.18 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 277.76/278.18 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 277.76/278.18 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 277.76/278.18 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 277.76/278.18 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 277.76/278.18 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 277.76/278.18 Found x30:False
% 277.76/278.18 Found (fun (x4:(p V00))=> x30) as proof of False
% 277.76/278.18 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 277.76/278.18 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 277.76/278.18 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 277.76/278.18 Found (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 277.76/278.18 Found (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 277.76/278.18 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 277.76/278.18 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 277.76/278.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 277.76/278.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 277.76/278.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 277.76/278.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 277.76/278.18 Found x3:(((rel_d W) V0)->False)
% 277.76/278.18 Instantiate: V0:=V00:fofType;V:=W:fofType
% 277.76/278.18 Found x3 as proof of (((rel_d V) V00)->False)
% 277.76/278.18 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 277.76/278.18 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 277.76/278.18 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 277.76/278.18 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 277.76/278.18 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 277.76/278.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 277.76/278.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 277.76/278.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 277.76/278.18 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 277.76/278.18 Found x3:(((rel_d W) V0)->False)
% 277.76/278.18 Instantiate: V0:=V00:fofType;V:=W:fofType
% 277.76/278.18 Found x3 as proof of (((rel_d V) V00)->False)
% 282.78/283.13 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 282.78/283.13 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 282.78/283.13 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 282.78/283.13 Found x3:(((rel_d W) V0)->False)
% 282.78/283.13 Instantiate: V0:=V00:fofType;V:=W:fofType
% 282.78/283.13 Found x3 as proof of (((rel_d V) V00)->False)
% 282.78/283.13 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 282.78/283.13 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 282.78/283.13 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 282.78/283.13 Found x3:(((rel_d W) V0)->False)
% 282.78/283.13 Instantiate: V0:=V00:fofType;V:=W:fofType
% 282.78/283.13 Found x3 as proof of (((rel_d V) V00)->False)
% 282.78/283.13 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 282.78/283.13 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 282.78/283.13 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 282.78/283.13 Found x30:False
% 282.78/283.13 Found (fun (x4:(p V00))=> x30) as proof of False
% 282.78/283.13 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 282.78/283.13 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 282.78/283.13 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 282.78/283.13 Found (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 282.78/283.13 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 282.78/283.13 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 282.78/283.13 Found x4:((rel_d V) V0)
% 282.78/283.13 Instantiate: V2:=V0:fofType;V:=W:fofType
% 282.78/283.13 Found x4 as proof of ((rel_d W) V2)
% 282.78/283.13 Found (x6 x4) as proof of False
% 282.78/283.13 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 282.78/283.13 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 282.78/283.13 Found x4:((rel_d V) V0)
% 282.78/283.13 Instantiate: V2:=V0:fofType;V:=W:fofType
% 282.78/283.13 Found x4 as proof of ((rel_d W) V2)
% 282.78/283.13 Found (x6 x4) as proof of False
% 282.78/283.13 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 282.78/283.13 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 282.78/283.13 Found x3:(((rel_d W) V0)->False)
% 282.78/283.13 Instantiate: V0:=V00:fofType;V:=W:fofType
% 282.78/283.13 Found x3 as proof of (((rel_d V) V00)->False)
% 282.78/283.13 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 282.78/283.13 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 282.78/283.13 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 282.78/283.13 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 282.78/283.13 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 282.78/283.13 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 282.78/283.13 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 282.78/283.13 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 285.07/285.46 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 285.07/285.46 Found x3:(((rel_d W) V0)->False)
% 285.07/285.46 Instantiate: V0:=V00:fofType;V:=W:fofType
% 285.07/285.46 Found x3 as proof of (((rel_d V) V00)->False)
% 285.07/285.46 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 285.07/285.46 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 285.07/285.46 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 285.07/285.46 Found (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 285.07/285.46 Found (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3)) as proof of (((mdia_d p) V1)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 285.07/285.46 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 285.07/285.46 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 285.07/285.46 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mdia_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mdia_d p) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 285.07/285.46 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mdia_d p) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mdia_d p) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V00)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 285.07/285.46 Found x30:False
% 285.07/285.46 Found (fun (x4:(p V00))=> x30) as proof of False
% 285.07/285.46 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 285.07/285.46 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 285.07/285.46 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 285.07/285.46 Found (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 285.07/285.46 Found (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 285.07/285.46 Found x10:False
% 285.07/285.46 Found (fun (x4:(p V1))=> x10) as proof of False
% 285.07/285.46 Found (fun (x4:(p V1))=> x10) as proof of ((mnot p) V1)
% 285.07/285.46 Found (or_intror00 (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 285.07/285.46 Found ((or_intror0 ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 285.07/285.46 Found (((or_intror (((rel_d V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 285.07/285.46 Found (((or_intror (((rel_d V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 285.07/285.46 Found x10:False
% 285.07/285.46 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 285.07/285.46 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 285.07/285.46 Found x10:False
% 285.07/285.46 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 285.07/285.46 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 292.26/292.61 Found x10:False
% 292.26/292.61 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 292.26/292.61 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 292.26/292.61 Found x10:False
% 292.26/292.61 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of False
% 292.26/292.61 Found (fun (x3:((mnot (mbox_d (mnot p))) V0))=> x10) as proof of (((mnot (mbox_d (mnot p))) V0)->False)
% 292.26/292.61 Found x30:False
% 292.26/292.61 Found (fun (x4:(p V0))=> x30) as proof of False
% 292.26/292.61 Found (fun (x4:(p V0))=> x30) as proof of ((mnot p) V0)
% 292.26/292.61 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) (p V00))):((or (((rel_d V) V00)->False)) (p V00))
% 292.26/292.61 Found (False_rect0 ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 292.26/292.61 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 292.26/292.61 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 292.26/292.61 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 292.26/292.61 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((mbox_d p) V)
% 292.26/292.61 Found x3:(((rel_d W) V0)->False)
% 292.26/292.61 Instantiate: V0:=V00:fofType;V:=W:fofType
% 292.26/292.61 Found x3 as proof of (((rel_d V) V00)->False)
% 292.26/292.61 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 292.26/292.61 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 292.26/292.61 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 292.26/292.61 Found x1:(((rel_d W) V)->False)
% 292.26/292.61 Instantiate: V0:=W:fofType;V:=V1:fofType
% 292.26/292.61 Found x1 as proof of (((rel_d V0) V1)->False)
% 292.26/292.61 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 292.26/292.61 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 292.26/292.61 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 292.26/292.61 Found x4:((rel_d V) V0)
% 292.26/292.61 Instantiate: V2:=V0:fofType
% 292.26/292.61 Found x4 as proof of ((rel_d W) V2)
% 292.26/292.61 Found (x6 x4) as proof of False
% 292.26/292.61 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 292.26/292.61 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 292.26/292.61 Found x4:((rel_d V) V0)
% 292.26/292.61 Instantiate: V2:=V0:fofType
% 292.26/292.61 Found x4 as proof of ((rel_d W) V2)
% 292.26/292.61 Found (x6 x4) as proof of False
% 292.26/292.61 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 292.26/292.61 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 292.26/292.61 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) ((mnot p) V00))):((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 292.26/292.61 Found (False_rect0 ((or (((rel_d V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 292.26/292.61 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 292.26/292.61 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 292.26/292.61 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 292.26/292.61 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mnot p) V00)))) as proof of ((mbox_d (mnot p)) V)
% 292.26/292.61 Found x3:(((rel_d W) V0)->False)
% 292.26/292.61 Instantiate: V0:=V00:fofType;V:=W:fofType
% 292.26/292.61 Found x3 as proof of (((rel_d V) V00)->False)
% 292.26/292.61 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 292.26/292.61 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 292.26/292.61 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 292.26/292.61 Found x1:(((rel_d W) V)->False)
% 292.26/292.61 Instantiate: V0:=W:fofType;V:=V1:fofType
% 295.24/295.59 Found x1 as proof of (((rel_d V0) V1)->False)
% 295.24/295.59 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 295.24/295.59 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 295.24/295.59 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 295.24/295.59 Found x3:(((rel_d W) V0)->False)
% 295.24/295.59 Instantiate: V0:=V00:fofType;V:=W:fofType
% 295.24/295.59 Found x3 as proof of (((rel_d V) V00)->False)
% 295.24/295.59 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 295.24/295.59 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 295.24/295.59 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 295.24/295.59 Found x1:(((rel_d W) V)->False)
% 295.24/295.59 Instantiate: V0:=W:fofType;V:=V1:fofType
% 295.24/295.59 Found x1 as proof of (((rel_d V0) V1)->False)
% 295.24/295.59 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 295.24/295.59 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 295.24/295.59 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 295.24/295.59 Found x3:(((rel_d W) V0)->False)
% 295.24/295.59 Instantiate: V0:=V00:fofType;V:=W:fofType
% 295.24/295.59 Found x3 as proof of (((rel_d V) V00)->False)
% 295.24/295.59 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 295.24/295.59 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 295.24/295.59 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 295.24/295.59 Found x1:(((rel_d W) V)->False)
% 295.24/295.59 Instantiate: V0:=W:fofType;V:=V1:fofType
% 295.24/295.59 Found x1 as proof of (((rel_d V0) V1)->False)
% 295.24/295.59 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 295.24/295.59 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 295.24/295.59 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 295.24/295.59 Found x30:False
% 295.24/295.59 Found (fun (x4:(p V0))=> x30) as proof of False
% 295.24/295.59 Found (fun (x4:(p V0))=> x30) as proof of ((mnot p) V0)
% 295.24/295.59 Found x3:(((rel_d W) V0)->False)
% 295.24/295.59 Instantiate: V0:=V00:fofType;V:=W:fofType
% 295.24/295.59 Found x3 as proof of (((rel_d V) V00)->False)
% 295.24/295.59 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 295.24/295.59 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 295.24/295.59 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 295.24/295.59 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 295.24/295.59 Found x30:False
% 295.24/295.59 Found (fun (x4:(p V00))=> x30) as proof of False
% 295.24/295.59 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 295.24/295.59 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 295.24/295.59 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 295.24/295.59 Found (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 295.24/295.59 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 295.24/295.59 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 295.24/295.59 Found x10:False
% 295.24/295.59 Found (fun (x4:(p V1))=> x10) as proof of False
% 295.24/295.59 Found (fun (x4:(p V1))=> x10) as proof of ((mnot p) V1)
% 295.24/295.59 Found (or_intror00 (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 295.24/295.59 Found ((or_intror0 ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 295.24/295.59 Found (((or_intror (((rel_d V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 295.24/295.59 Found (fun (V1:fofType)=> (((or_intror (((rel_d V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 298.15/298.53 Found (fun (V1:fofType)=> (((or_intror (((rel_d V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) ((mnot p) V)))
% 298.15/298.53 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 298.15/298.53 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 298.15/298.53 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 298.15/298.53 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 298.15/298.53 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 298.15/298.53 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 298.15/298.53 Found x4:((rel_d V) V0)
% 298.15/298.53 Instantiate: V2:=V0:fofType;V:=W:fofType
% 298.15/298.53 Found x4 as proof of ((rel_d W) V2)
% 298.15/298.53 Found (x6 x4) as proof of False
% 298.15/298.53 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 298.15/298.53 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 298.15/298.53 Found x4:((rel_d V) V0)
% 298.15/298.53 Instantiate: V2:=V0:fofType;V:=W:fofType
% 298.15/298.53 Found x4 as proof of ((rel_d W) V2)
% 298.15/298.53 Found (x6 x4) as proof of False
% 298.15/298.53 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 298.15/298.53 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 298.15/298.53 Found x3:(((rel_d W) V0)->False)
% 298.15/298.53 Instantiate: V0:=V00:fofType;V:=W:fofType
% 298.15/298.53 Found x3 as proof of (((rel_d V) V00)->False)
% 298.15/298.53 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 298.15/298.53 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 298.15/298.53 Found (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 298.15/298.53 Found (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 298.15/298.53 Found (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3)) as proof of (((mdia_d p) V1)->((or (((rel_d V) V00)->False)) ((mnot p) V00)))
% 298.15/298.53 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 298.15/298.53 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 298.15/298.53 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mdia_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mdia_d p) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 298.15/298.53 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mdia_d p) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mdia_d p) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_d W) V00)->False)) ((mnot p) V00))) (fun (x5:((mdia_d p) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mnot p) V00))
% 298.15/298.53 Found x3:(((rel_d W) V0)->False)
% 298.15/298.53 Instantiate: V0:=V00:fofType;V:=W:fofType
% 298.15/298.53 Found x3 as proof of (((rel_d V) V00)->False)
% 298.15/298.53 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 298.15/298.53 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 298.15/298.53 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 298.15/298.53 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 298.66/299.08 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 298.66/299.08 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 298.66/299.08 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 298.66/299.08 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 298.66/299.08 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 298.66/299.08 Found x1:(((rel_d W) V)->False)
% 298.66/299.08 Instantiate: V0:=W:fofType;V:=V1:fofType
% 298.66/299.08 Found x1 as proof of (((rel_d V0) V1)->False)
% 298.66/299.08 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 298.66/299.08 Found ((or_introl0 ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 298.66/299.08 Found (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 298.66/299.08 Found (fun (x5:((mdia_d p) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 298.66/299.08 Found (fun (x5:((mdia_d p) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1)) as proof of (((mdia_d p) V2)->((or (((rel_d V0) V1)->False)) ((mnot p) V1)))
% 298.66/299.08 Found ((or_ind20 ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_d p) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 298.66/299.08 Found (((or_ind2 ((or (((rel_d V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_d p) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 298.66/299.08 Found ((((fun (P:Prop) (x5:((((rel_d W) V2)->False)->P)) (x6:(((mdia_d p) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mdia_d p) V2)) P) x5) x6) x4)) ((or (((rel_d V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_d W) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_d p) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 298.66/299.08 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mdia_d p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mdia_d p) V1)) P) x5) x6) (x V1))) ((or (((rel_d V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_d W) V1)->False)) ((mnot p) V1))) (fun (x5:((mdia_d p) V1))=> (((or_introl (((rel_d V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mnot p) V1))
% 298.66/299.08 Found x1:(((rel_d W) V)->False)
% 298.66/299.08 Instantiate: V0:=W:fofType;V:=V1:fofType
% 298.66/299.08 Found x1 as proof of (((rel_d V0) V1)->False)
% 298.66/299.08 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 298.66/299.08 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 298.66/299.08 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 298.66/299.08 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 298.66/299.08 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((r
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