TSTP Solution File: SYO465^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO465^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.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 287.00s 287.37s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO465^1 : TPTP v7.5.0. Released v4.0.0.
% 0.12/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 01:34:31 EST 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.18/0.34 Python 2.7.5
% 0.47/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.47/0.63 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xb3ecb0>, <kernel.Type object at 0xb3e560>) of role type named mu_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mu:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xb3e128>, <kernel.DependentProduct object at 0xb43ef0>) of role type named meq_ind_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.47/0.63 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xdded40>, <kernel.DependentProduct object at 0xb3e2d8>) of role type named meq_prop_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 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))))
% 0.47/0.63 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xb3ecb0>, <kernel.DependentProduct object at 0xb3ef38>) of role type named mnot_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.47/0.63 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b39f7f0c8c0>, <kernel.DependentProduct object at 0xb3e2d8>) of role type named mor_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 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))))
% 0.47/0.63 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xb3ecb0>, <kernel.DependentProduct object at 0x2b39f7f09a28>) of role type named mand_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.47/0.63 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xb3ecb0>, <kernel.DependentProduct object at 0x2b39f7f09c68>) of role type named mimplies_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.47/0.63 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xb3ecb0>, <kernel.DependentProduct object at 0x2b39f7f09a28>) of role type named mimplied_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.64 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
% 0.48/0.64 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.48/0.64 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b39f7f09a28>, <kernel.DependentProduct object at 0x2b39f7f09368>) of role type named mequiv_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.64 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
% 0.48/0.64 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))))
% 0.48/0.64 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b39f7f09cb0>, <kernel.DependentProduct object at 0xb3f200>) of role type named mxor_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.64 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
% 0.48/0.64 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.48/0.64 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b39f7f09a70>, <kernel.DependentProduct object at 0xb3fa70>) of role type named mforall_ind_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.48/0.64 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
% 0.48/0.64 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.48/0.64 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b39f7f09a28>, <kernel.DependentProduct object at 0xb3fef0>) of role type named mforall_prop_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.48/0.64 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
% 0.48/0.64 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))))
% 0.48/0.64 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xb3fef0>, <kernel.DependentProduct object at 0xb3f050>) of role type named mexists_ind_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.48/0.64 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
% 0.48/0.64 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)))))))
% 0.48/0.64 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xb3f050>, <kernel.DependentProduct object at 0xb3fb00>) of role type named mexists_prop_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.48/0.64 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
% 0.48/0.64 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)))))))
% 0.48/0.64 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0xb3fb00>, <kernel.DependentProduct object at 0xb3f440>) of role type named mtrue_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mtrue:(fofType->Prop)
% 0.48/0.65 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.48/0.65 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.48/0.65 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.48/0.65 FOF formula (<kernel.Constant object at 0xb3f440>, <kernel.DependentProduct object at 0xb3f680>) of role type named mfalse_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mfalse:(fofType->Prop)
% 0.48/0.65 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.48/0.65 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.48/0.65 Defined: mfalse:=(mnot mtrue)
% 0.48/0.65 FOF formula (<kernel.Constant object at 0xb3f050>, <kernel.DependentProduct object at 0xb3ff80>) of role type named mbox_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.65 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
% 0.48/0.65 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)))))
% 0.48/0.65 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0xb3ff80>, <kernel.DependentProduct object at 0xb3f320>) of role type named mdia_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.65 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
% 0.48/0.65 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)))))
% 0.48/0.65 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0xb3f830>, <kernel.DependentProduct object at 0xb428c0>) of role type named mreflexive_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.48/0.65 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0xb3fb00>, <kernel.DependentProduct object at 0xb42f80>) of role type named msymmetric_type
% 0.48/0.65 Using role type
% 0.48/0.66 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.48/0.66 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
% 0.48/0.66 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)))))
% 0.48/0.66 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0xb3fb00>, <kernel.DependentProduct object at 0xb428c0>) of role type named mserial_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.48/0.66 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
% 0.48/0.66 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))))))
% 0.48/0.66 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0xb3fb00>, <kernel.DependentProduct object at 0xb42d88>) of role type named mtransitive_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.48/0.66 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
% 0.48/0.66 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)))))
% 0.48/0.66 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0xb42d88>, <kernel.DependentProduct object at 0xb42c20>) of role type named meuclidean_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.48/0.66 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
% 0.48/0.66 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)))))
% 0.48/0.66 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0xb42c20>, <kernel.DependentProduct object at 0xb42cb0>) of role type named mpartially_functional_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.66 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
% 0.48/0.66 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)))))
% 0.48/0.66 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))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0xb42cb0>, <kernel.DependentProduct object at 0xb42170>) of role type named mfunctional_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.66 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
% 0.48/0.67 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)))))))))
% 0.48/0.67 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))))))))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xb42170>, <kernel.DependentProduct object at 0xb42830>) of role type named mweakly_dense_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.48/0.67 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
% 0.48/0.67 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)))))))))
% 0.48/0.67 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))))))))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xb42830>, <kernel.DependentProduct object at 0xb42c20>) of role type named mweakly_connected_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.48/0.67 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
% 0.48/0.67 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))))))
% 0.48/0.67 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)))))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xb42c20>, <kernel.DependentProduct object at 0xb42d88>) of role type named mweakly_directed_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.48/0.67 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
% 0.48/0.67 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))))))))
% 0.48/0.67 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)))))))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xb42950>, <kernel.DependentProduct object at 0xb42d40>) of role type named mvalid_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring mvalid:((fofType->Prop)->Prop)
% 0.48/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.48/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.48/0.67 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xb42c20>, <kernel.DependentProduct object at 0x2b39f0439200>) of role type named minvalid_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring minvalid:((fofType->Prop)->Prop)
% 0.48/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.48/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.48/0.67 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xb42c20>, <kernel.DependentProduct object at 0x2b39f0439560>) of role type named msatisfiable_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.48/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.48/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.48/0.67 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b39f04393f8>, <kernel.DependentProduct object at 0x2b39f0439638>) of role type named mcountersatisfiable_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.48/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.48/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.48/0.67 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.48/0.67 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^1.ax, trying next directory
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xb3e878>, <kernel.DependentProduct object at 0xb3e170>) of role type named rel_k_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring rel_k:(fofType->(fofType->Prop))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xb3e830>, <kernel.DependentProduct object at 0xb3e998>) of role type named mbox_k_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring mbox_k:((fofType->Prop)->(fofType->Prop))
% 0.48/0.67 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_k) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V))))) of role definition named mbox_k
% 0.48/0.67 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_k) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V)))))
% 0.48/0.67 Defined: mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V))))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xb3e998>, <kernel.DependentProduct object at 0xb3eef0>) of role type named mdia_k_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring mdia_k:((fofType->Prop)->(fofType->Prop))
% 0.48/0.67 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))) of role definition named mdia_k
% 0.48/0.67 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))))
% 0.48/0.67 Defined: mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xdded40>, <kernel.DependentProduct object at 0xb3ee18>) of role type named p_type
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring p:(fofType->Prop)
% 0.48/0.68 FOF formula (mvalid ((mimplies (mbox_k (mdia_k p))) (mdia_k (mbox_k p)))) of role conjecture named prove
% 0.48/0.68 Conjecture to prove = (mvalid ((mimplies (mbox_k (mdia_k p))) (mdia_k (mbox_k p)))):Prop
% 0.48/0.68 Parameter mu_DUMMY:mu.
% 0.48/0.68 Parameter fofType_DUMMY:fofType.
% 0.48/0.68 We need to prove ['(mvalid ((mimplies (mbox_k (mdia_k p))) (mdia_k (mbox_k p))))']
% 0.48/0.68 Parameter mu:Type.
% 0.48/0.68 Parameter fofType:Type.
% 0.48/0.68 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.48/0.68 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.68 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.48/0.68 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.68 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.68 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.68 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.68 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.68 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.68 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.68 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.68 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.68 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)).
% 0.48/0.68 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.48/0.68 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.48/0.68 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))).
% 0.48/0.68 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.68 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.68 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.68 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.68 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).
% 0.48/0.68 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).
% 0.48/0.68 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).
% 0.48/0.68 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).
% 0.48/0.68 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).
% 0.48/0.68 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).
% 0.48/0.68 Definition mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.68 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 11.06/11.25 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 11.06/11.25 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 11.06/11.25 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 11.06/11.25 Parameter rel_k:(fofType->(fofType->Prop)).
% 11.06/11.25 Definition mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 11.06/11.25 Definition mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 11.06/11.25 Parameter p:(fofType->Prop).
% 11.06/11.25 Trying to prove (mvalid ((mimplies (mbox_k (mdia_k p))) (mdia_k (mbox_k p))))
% 11.06/11.25 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 11.06/11.25 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 11.06/11.25 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 11.06/11.25 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 11.06/11.25 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 11.06/11.25 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 11.06/11.25 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 11.06/11.25 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 11.06/11.25 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 11.06/11.25 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 11.06/11.25 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 11.06/11.25 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 11.06/11.25 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 11.06/11.25 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 11.06/11.25 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 11.06/11.25 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 11.06/11.25 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 11.06/11.25 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 11.06/11.25 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 11.06/11.25 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 11.06/11.25 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 11.06/11.25 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 11.06/11.25 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 11.06/11.25 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 11.06/11.25 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 11.06/11.25 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 11.06/11.25 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 16.21/16.38 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 16.21/16.38 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 16.21/16.38 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 16.21/16.38 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 16.21/16.38 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 16.21/16.38 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 16.21/16.38 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 16.21/16.38 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 16.21/16.38 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 16.21/16.38 Found x10:False
% 16.21/16.38 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 16.21/16.38 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 16.21/16.38 Found x10:False
% 16.21/16.38 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 16.21/16.38 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 16.21/16.38 Found x10:False
% 16.21/16.38 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 16.21/16.38 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 16.21/16.38 Found x10:False
% 16.21/16.38 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of False
% 16.21/16.38 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of (((mdia_k p) V0)->False)
% 16.21/16.38 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 16.21/16.38 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 16.21/16.38 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 16.21/16.38 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 16.21/16.38 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 16.21/16.38 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 16.21/16.38 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 16.21/16.38 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 16.21/16.38 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 16.21/16.38 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 16.21/16.38 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 16.21/16.38 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 16.21/16.38 Found x10:False
% 16.21/16.38 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 16.21/16.38 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 16.21/16.38 Found x10:False
% 16.21/16.38 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 16.21/16.38 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 16.21/16.38 Found x10:False
% 16.21/16.38 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 16.21/16.38 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 16.21/16.38 Found x10:False
% 16.21/16.38 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of False
% 16.21/16.38 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of (((mdia_k p) V0)->False)
% 28.41/28.63 Found x10:False
% 28.41/28.63 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 28.41/28.63 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 28.41/28.63 Found x10:False
% 28.41/28.63 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 28.41/28.63 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 28.41/28.63 Found x10:False
% 28.41/28.63 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of False
% 28.41/28.63 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of (((mdia_k p) V0)->False)
% 28.41/28.63 Found x10:False
% 28.41/28.63 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 28.41/28.63 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 28.41/28.63 Found x10:False
% 28.41/28.63 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 28.41/28.63 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 28.41/28.63 Found x10:False
% 28.41/28.63 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of False
% 28.41/28.63 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of (((mdia_k p) V0)->False)
% 28.41/28.63 Found x10:False
% 28.41/28.63 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 28.41/28.63 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 28.41/28.63 Found x10:False
% 28.41/28.63 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 28.41/28.63 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 28.41/28.63 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 28.41/28.63 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 28.41/28.63 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 28.41/28.63 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 28.41/28.63 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 28.41/28.63 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 28.41/28.63 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 28.41/28.63 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 28.41/28.63 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 36.20/36.41 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 36.20/36.41 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 36.20/36.41 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 36.20/36.41 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 36.20/36.41 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 36.20/36.41 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 36.20/36.41 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 36.20/36.41 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 36.20/36.41 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 36.20/36.41 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 36.20/36.41 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 36.20/36.41 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 36.20/36.41 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 36.20/36.41 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 36.20/36.41 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 36.20/36.41 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 36.20/36.41 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 36.20/36.41 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 36.20/36.41 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 40.89/41.07 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.89/41.07 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.89/41.07 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.89/41.07 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.89/41.07 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.89/41.07 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 40.89/41.07 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.89/41.07 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.89/41.07 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.89/41.07 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.89/41.07 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.89/41.07 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 40.89/41.07 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 40.89/41.07 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 40.89/41.07 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 40.89/41.07 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 40.89/41.07 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 50.27/50.47 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 50.27/50.47 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 50.27/50.47 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 50.27/50.47 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 50.27/50.47 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 50.27/50.47 Found x10:False
% 50.27/50.47 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 50.27/50.47 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 50.27/50.47 Found x10:False
% 50.27/50.47 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of False
% 50.27/50.47 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of (((mdia_k p) V0)->False)
% 50.27/50.47 Found x10:False
% 50.27/50.47 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 50.27/50.47 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 50.27/50.47 Found x10:False
% 50.27/50.47 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of False
% 50.27/50.47 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of (((mdia_k p) V0)->False)
% 50.27/50.47 Found x10:False
% 50.27/50.47 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 50.27/50.47 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 50.27/50.47 Found x10:False
% 50.27/50.47 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 50.27/50.47 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 50.27/50.47 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 50.27/50.47 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 50.27/50.47 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 52.25/52.43 Found x10:False
% 52.25/52.43 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 52.25/52.43 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 52.25/52.43 Found x10:False
% 52.25/52.43 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 52.25/52.43 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 52.25/52.43 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 52.25/52.43 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 52.25/52.43 Found or_intror10:=(or_intror1 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or (p V0)) (((rel_k W) V1)->False)))
% 52.25/52.43 Found (or_intror1 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 52.25/52.43 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 52.25/52.43 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 52.25/52.43 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 52.25/52.43 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 52.25/52.43 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 52.25/52.43 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 52.25/52.43 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 52.25/52.43 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 52.25/52.43 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 52.25/52.43 Found or_intror00:=(or_intror0 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k W) V1)->False)))
% 52.25/52.43 Found (or_intror0 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 58.39/58.60 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 58.39/58.60 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 58.39/58.60 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 58.39/58.60 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 58.39/58.60 Found x3:(((rel_k W) V0)->False)
% 58.39/58.60 Instantiate: V0:=V00:fofType;V:=W:fofType
% 58.39/58.60 Found x3 as proof of (((rel_k V) V00)->False)
% 58.39/58.60 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 58.39/58.60 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 58.39/58.60 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 58.39/58.60 Found x3:(((rel_k W) V0)->False)
% 58.39/58.60 Instantiate: V0:=V00:fofType;V:=W:fofType
% 58.39/58.60 Found x3 as proof of (((rel_k V) V00)->False)
% 58.39/58.60 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 58.39/58.60 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 58.39/58.60 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 58.39/58.60 Found x3:(((rel_k W) V0)->False)
% 58.39/58.60 Instantiate: V0:=V00:fofType;V:=W:fofType
% 58.39/58.60 Found x3 as proof of (((rel_k V) V00)->False)
% 58.39/58.60 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 58.39/58.60 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 58.39/58.60 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 58.39/58.60 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 58.39/58.60 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 58.39/58.60 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 58.39/58.60 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 58.39/58.60 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 58.39/58.60 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 58.39/58.60 Found x1:(((rel_k W) V)->False)
% 58.39/58.60 Instantiate: V0:=W:fofType;V:=V1:fofType
% 58.39/58.60 Found x1 as proof of (((rel_k V0) V1)->False)
% 58.39/58.60 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 58.39/58.60 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 58.39/58.60 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 58.39/58.60 Found x3:(((rel_k W) V0)->False)
% 58.39/58.60 Instantiate: V0:=V00:fofType;V:=W:fofType
% 58.39/58.60 Found x3 as proof of (((rel_k V) V00)->False)
% 58.39/58.60 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 58.39/58.60 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 58.39/58.60 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 58.39/58.60 Found x1:(((rel_k W) V)->False)
% 58.39/58.60 Instantiate: V0:=W:fofType;V:=V1:fofType
% 58.39/58.60 Found x1 as proof of (((rel_k V0) V1)->False)
% 58.39/58.60 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 58.39/58.60 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 58.39/58.60 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 58.39/58.60 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 58.39/58.60 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 58.39/58.60 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 64.22/64.40 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 64.22/64.40 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 64.22/64.40 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 64.22/64.40 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) ((mnot p) V0)))
% 64.22/64.40 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 64.22/64.40 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 64.22/64.40 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 64.22/64.40 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 64.22/64.40 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 64.22/64.40 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 64.22/64.40 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 64.22/64.40 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 64.22/64.40 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 64.22/64.40 Found x10:False
% 64.22/64.40 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of False
% 64.22/64.40 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of (((mdia_k p) V0)->False)
% 64.22/64.40 Found x10:False
% 64.22/64.40 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 64.22/64.40 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 64.22/64.40 Found x10:False
% 64.22/64.40 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 64.22/64.40 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 64.22/64.40 Found x10:False
% 64.22/64.40 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 64.22/64.40 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 64.22/64.40 Found or_intror10:=(or_intror1 (((rel_k S) V1)->False)):((((rel_k S) V1)->False)->((or (p V0)) (((rel_k S) V1)->False)))
% 64.22/64.40 Found (or_intror1 (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 64.22/64.40 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 64.22/64.40 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 64.22/64.40 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 64.22/64.40 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 64.22/64.40 Found x10:False
% 64.22/64.40 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of False
% 64.22/64.40 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of (((mdia_k p) V0)->False)
% 64.22/64.40 Found x10:False
% 64.22/64.40 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 64.22/64.40 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 64.22/64.40 Found x10:False
% 64.22/64.40 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 64.22/64.40 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 64.22/64.40 Found x10:False
% 64.22/64.40 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 64.22/64.40 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 64.22/64.40 Found x2:((rel_k V) V0)
% 64.22/64.40 Instantiate: V1:=V0:fofType;V:=W:fofType
% 64.22/64.40 Found x2 as proof of ((rel_k W) V1)
% 64.22/64.40 Found (x4 x2) as proof of False
% 64.22/64.40 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 64.22/64.40 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 71.97/72.21 Found or_intror00:=(or_intror0 (((rel_k S) V1)->False)):((((rel_k S) V1)->False)->((or ((mnot p) V0)) (((rel_k S) V1)->False)))
% 71.97/72.21 Found (or_intror0 (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 71.97/72.21 Found ((or_intror ((mnot p) V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 71.97/72.21 Found ((or_intror ((mnot p) V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 71.97/72.21 Found ((or_intror ((mnot p) V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 71.97/72.21 Found ((or_intror ((mnot p) V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 71.97/72.21 Found x2:((rel_k V) V0)
% 71.97/72.21 Instantiate: V1:=V0:fofType;V:=W:fofType
% 71.97/72.21 Found x2 as proof of ((rel_k W) V1)
% 71.97/72.21 Found (x4 x2) as proof of False
% 71.97/72.21 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 71.97/72.21 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 71.97/72.21 Found x3:(((rel_k S) V0)->False)
% 71.97/72.21 Instantiate: V0:=V00:fofType;V:=S:fofType
% 71.97/72.21 Found x3 as proof of (((rel_k V) V00)->False)
% 71.97/72.21 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 71.97/72.21 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 71.97/72.21 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 71.97/72.21 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 71.97/72.21 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 71.97/72.21 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 71.97/72.21 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 71.97/72.21 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 71.97/72.21 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 71.97/72.21 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) ((mnot p) V0)))
% 71.97/72.21 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 71.97/72.21 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 71.97/72.21 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 71.97/72.21 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 71.97/72.21 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 71.97/72.21 Found x3:(((rel_k S) V0)->False)
% 71.97/72.21 Instantiate: V0:=V00:fofType;V:=S:fofType
% 71.97/72.21 Found x3 as proof of (((rel_k V) V00)->False)
% 71.97/72.21 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 71.97/72.21 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 71.97/72.21 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 71.97/72.21 Found x3:(((rel_k S) V0)->False)
% 71.97/72.21 Instantiate: V0:=V00:fofType;V:=S:fofType
% 71.97/72.21 Found x3 as proof of (((rel_k V) V00)->False)
% 71.97/72.21 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 71.97/72.21 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 71.97/72.21 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 71.97/72.21 Found x1:(((rel_k S) V)->False)
% 71.97/72.21 Instantiate: V0:=S:fofType;V:=V1:fofType
% 71.97/72.21 Found x1 as proof of (((rel_k V0) V1)->False)
% 71.97/72.21 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 71.97/72.21 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 79.64/79.89 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 79.64/79.89 Found x10:False
% 79.64/79.89 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 79.64/79.89 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 79.64/79.89 Found x10:False
% 79.64/79.89 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of False
% 79.64/79.89 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of (((mdia_k p) V0)->False)
% 79.64/79.89 Found x3:(((rel_k S) V0)->False)
% 79.64/79.89 Instantiate: V0:=V00:fofType;V:=S:fofType
% 79.64/79.89 Found x3 as proof of (((rel_k V) V00)->False)
% 79.64/79.89 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 79.64/79.89 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 79.64/79.89 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 79.64/79.89 Found x10:False
% 79.64/79.89 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 79.64/79.89 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 79.64/79.89 Found x10:False
% 79.64/79.89 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 79.64/79.89 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 79.64/79.89 Found x10:False
% 79.64/79.89 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 79.64/79.89 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 79.64/79.89 Found x1:(((rel_k S) V)->False)
% 79.64/79.89 Instantiate: V0:=S:fofType;V:=V1:fofType
% 79.64/79.89 Found x1 as proof of (((rel_k V0) V1)->False)
% 79.64/79.89 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 79.64/79.89 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 79.64/79.89 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 79.64/79.89 Found x10:False
% 79.64/79.89 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of False
% 79.64/79.89 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of (((mdia_k p) V0)->False)
% 79.64/79.89 Found x10:False
% 79.64/79.89 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 79.64/79.89 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 79.64/79.89 Found x10:False
% 79.64/79.89 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 79.64/79.89 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 79.64/79.89 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 79.64/79.89 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 79.64/79.89 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 79.64/79.89 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 79.64/79.89 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 79.64/79.89 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) ((mnot p) V0)))
% 79.64/79.89 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 79.64/79.89 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 79.64/79.89 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 79.64/79.89 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 79.64/79.89 Found or_intror00:=(or_intror0 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or (p V0)) (((rel_k W) V1)->False)))
% 79.64/79.89 Found (or_intror0 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 79.64/79.89 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 79.64/79.89 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 79.64/79.89 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 90.61/90.87 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 90.61/90.87 Found or_intror10:=(or_intror1 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k W) V1)->False)))
% 90.61/90.87 Found (or_intror1 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 90.61/90.87 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 90.61/90.87 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 90.61/90.87 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 90.61/90.87 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 90.61/90.87 Found x2:((rel_k V) V0)
% 90.61/90.87 Instantiate: V1:=V0:fofType;V:=S:fofType
% 90.61/90.87 Found x2 as proof of ((rel_k S) V1)
% 90.61/90.87 Found (x4 x2) as proof of False
% 90.61/90.87 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 90.61/90.87 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 90.61/90.87 Found x3:(((rel_k W) V0)->False)
% 90.61/90.87 Instantiate: V0:=V00:fofType;V:=W:fofType
% 90.61/90.87 Found x3 as proof of (((rel_k V) V00)->False)
% 90.61/90.87 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 90.61/90.87 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 90.61/90.87 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 90.61/90.87 Found x3:(((rel_k W) V0)->False)
% 90.61/90.87 Instantiate: V0:=V00:fofType;V:=W:fofType
% 90.61/90.87 Found x3 as proof of (((rel_k V) V00)->False)
% 90.61/90.87 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 90.61/90.87 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 90.61/90.87 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 90.61/90.87 Found x2:((rel_k V) V0)
% 90.61/90.87 Instantiate: V1:=V0:fofType;V:=S:fofType
% 90.61/90.87 Found x2 as proof of ((rel_k S) V1)
% 90.61/90.87 Found (x4 x2) as proof of False
% 90.61/90.87 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 90.61/90.87 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 90.61/90.87 Found x3:(((rel_k W) V0)->False)
% 90.61/90.87 Instantiate: V0:=V00:fofType;V:=W:fofType
% 90.61/90.87 Found x3 as proof of (((rel_k V) V00)->False)
% 90.61/90.87 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 90.61/90.87 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 90.61/90.87 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 90.61/90.87 Found x1:(((rel_k W) V)->False)
% 90.61/90.87 Instantiate: V0:=W:fofType;V:=V1:fofType
% 90.61/90.87 Found x1 as proof of (((rel_k V0) V1)->False)
% 90.61/90.87 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 90.61/90.87 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 90.61/90.87 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 90.61/90.87 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 90.61/90.87 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 90.61/90.87 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 90.61/90.87 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 90.61/90.87 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 90.61/90.87 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 90.61/90.87 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) ((mnot p) V0)))
% 90.61/90.87 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 105.34/105.57 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 105.34/105.57 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 105.34/105.57 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 105.34/105.57 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 105.34/105.57 Found x3:(((rel_k W) V0)->False)
% 105.34/105.57 Instantiate: V0:=V00:fofType;V:=W:fofType
% 105.34/105.57 Found x3 as proof of (((rel_k V) V00)->False)
% 105.34/105.57 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 105.34/105.57 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 105.34/105.57 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 105.34/105.57 Found x1:(((rel_k W) V)->False)
% 105.34/105.57 Instantiate: V0:=W:fofType;V:=V1:fofType
% 105.34/105.57 Found x1 as proof of (((rel_k V0) V1)->False)
% 105.34/105.57 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 105.34/105.57 Found ((or_introl0 ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 105.34/105.57 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 105.34/105.57 Found x10:False
% 105.34/105.57 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 105.34/105.57 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 105.34/105.57 Found x10:False
% 105.34/105.57 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of False
% 105.34/105.57 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of (((mdia_k p) V0)->False)
% 105.34/105.57 Found x10:False
% 105.34/105.57 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 105.34/105.57 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 105.34/105.57 Found x10:False
% 105.34/105.57 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 105.34/105.57 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 105.34/105.57 Found x10:False
% 105.34/105.57 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of False
% 105.34/105.57 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of (((mdia_k p) V0)->False)
% 105.34/105.57 Found x10:False
% 105.34/105.57 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 105.34/105.57 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 105.34/105.57 Found x10:False
% 105.34/105.57 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 105.34/105.57 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 105.34/105.57 Found x10:False
% 105.34/105.57 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 105.34/105.57 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 105.34/105.57 Found or_intror00:=(or_intror0 (((rel_k S) V1)->False)):((((rel_k S) V1)->False)->((or (p V0)) (((rel_k S) V1)->False)))
% 105.34/105.57 Found (or_intror0 (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 105.34/105.57 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 105.34/105.57 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 105.34/105.57 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 105.34/105.57 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 105.34/105.57 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 105.34/105.57 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 105.34/105.57 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 105.34/105.57 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 105.34/105.57 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 111.69/111.96 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) ((mnot p) V0)))
% 111.69/111.96 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 111.69/111.96 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 111.69/111.96 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 111.69/111.96 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 111.69/111.96 Found x2:((rel_k V) V0)
% 111.69/111.96 Instantiate: V1:=V0:fofType;V:=W:fofType
% 111.69/111.96 Found x2 as proof of ((rel_k W) V1)
% 111.69/111.96 Found (x4 x2) as proof of False
% 111.69/111.96 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 111.69/111.96 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 111.69/111.96 Found or_intror10:=(or_intror1 (((rel_k S) V1)->False)):((((rel_k S) V1)->False)->((or ((mnot p) V0)) (((rel_k S) V1)->False)))
% 111.69/111.96 Found (or_intror1 (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 111.69/111.96 Found ((or_intror ((mnot p) V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 111.69/111.96 Found ((or_intror ((mnot p) V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 111.69/111.96 Found ((or_intror ((mnot p) V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 111.69/111.96 Found ((or_intror ((mnot p) V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 111.69/111.96 Found x2:((rel_k V) V0)
% 111.69/111.96 Instantiate: V1:=V0:fofType;V:=W:fofType
% 111.69/111.96 Found x2 as proof of ((rel_k W) V1)
% 111.69/111.96 Found (x4 x2) as proof of False
% 111.69/111.96 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 111.69/111.96 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 111.69/111.96 Found x3:(((rel_k S) V0)->False)
% 111.69/111.96 Instantiate: V0:=V00:fofType;V:=S:fofType
% 111.69/111.96 Found x3 as proof of (((rel_k V) V00)->False)
% 111.69/111.96 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 111.69/111.96 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 111.69/111.96 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 111.69/111.96 Found x3:(((rel_k W) V0)->False)
% 111.69/111.96 Instantiate: V0:=V00:fofType;V:=W:fofType
% 111.69/111.96 Found x3 as proof of (((rel_k V) V00)->False)
% 111.69/111.96 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 111.69/111.96 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 111.69/111.96 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 111.69/111.96 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 111.69/111.96 Found (or_comm_i00 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 111.69/111.96 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 111.69/111.96 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 111.69/111.96 Found x3:(((rel_k W) V0)->False)
% 111.69/111.96 Instantiate: V0:=V00:fofType;V:=W:fofType
% 111.69/111.96 Found x3 as proof of (((rel_k V) V00)->False)
% 111.69/111.96 Found (or_intror00 x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 111.69/111.96 Found ((or_intror0 (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 111.69/111.96 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 111.69/111.96 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 117.52/117.73 Found (or_comm_i00 (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 117.52/117.73 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 117.52/117.73 Found (((or_comm_i ((mnot p) V00)) (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 117.52/117.73 Found or_intror00:=(or_intror0 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k W) V2)->False)))
% 117.52/117.73 Found (or_intror0 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 117.52/117.73 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 117.52/117.73 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 117.52/117.73 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 117.52/117.73 Found x3:(((rel_k S) V0)->False)
% 117.52/117.73 Instantiate: V0:=V00:fofType;V:=S:fofType
% 117.52/117.73 Found x3 as proof of (((rel_k V) V00)->False)
% 117.52/117.73 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 117.52/117.73 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 117.52/117.73 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 117.52/117.73 Found or_intror10:=(or_intror1 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or (p V0)) (((rel_k W) V2)->False)))
% 117.52/117.73 Found (or_intror1 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 117.52/117.73 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 117.52/117.73 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 117.52/117.73 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 117.52/117.73 Found x3:(((rel_k S) V0)->False)
% 117.52/117.73 Instantiate: V0:=V00:fofType;V:=S:fofType
% 117.52/117.73 Found x3 as proof of (((rel_k V) V00)->False)
% 117.52/117.73 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 117.52/117.73 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 117.52/117.73 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 117.52/117.73 Found x1:(((rel_k S) V)->False)
% 117.52/117.73 Instantiate: V0:=S:fofType;V:=V1:fofType
% 117.52/117.73 Found x1 as proof of (((rel_k V0) V1)->False)
% 117.52/117.73 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 117.52/117.73 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 117.52/117.73 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 117.52/117.73 Found x3:(((rel_k W) V0)->False)
% 117.52/117.73 Instantiate: V0:=V00:fofType;V:=W:fofType
% 117.52/117.73 Found x3 as proof of (((rel_k V) V00)->False)
% 117.52/117.73 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 117.52/117.73 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 117.52/117.73 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 117.52/117.73 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 117.52/117.73 Found (or_comm_i00 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 117.52/117.73 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 117.52/117.73 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 117.52/117.73 Found x1:(((rel_k W) V)->False)
% 117.52/117.73 Instantiate: V0:=W:fofType;V:=V1:fofType
% 117.52/117.73 Found x1 as proof of (((rel_k V0) V1)->False)
% 117.52/117.73 Found (or_intror10 x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 119.32/119.56 Found ((or_intror1 (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 119.32/119.56 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 119.32/119.56 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 119.32/119.56 Found (or_comm_i00 (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 119.32/119.56 Found ((or_comm_i0 (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 119.32/119.56 Found (((or_comm_i (p V1)) (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 119.32/119.56 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 119.32/119.56 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 119.32/119.56 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 119.32/119.56 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 119.32/119.56 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 119.32/119.56 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 119.32/119.56 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) ((mnot p) V0)))
% 119.32/119.56 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 119.32/119.56 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 119.32/119.56 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 119.32/119.56 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 119.32/119.56 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 119.32/119.56 Found x3:(((rel_k W) V0)->False)
% 119.32/119.56 Instantiate: V0:=V00:fofType;V:=W:fofType
% 119.32/119.56 Found x3 as proof of (((rel_k V) V00)->False)
% 119.32/119.56 Found (or_intror00 x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 119.32/119.56 Found ((or_intror0 (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 119.32/119.56 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 119.32/119.56 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 119.32/119.56 Found (or_comm_i00 (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 119.32/119.56 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 119.32/119.56 Found (((or_comm_i ((mnot p) V00)) (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 119.32/119.56 Found x1:(((rel_k W) V)->False)
% 119.32/119.56 Instantiate: V0:=W:fofType;V:=V1:fofType
% 119.32/119.56 Found x1 as proof of (((rel_k V0) V1)->False)
% 119.32/119.56 Found (or_intror00 x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 119.32/119.56 Found ((or_intror0 (((rel_k V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 119.32/119.56 Found (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 119.32/119.56 Found (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 119.32/119.56 Found (or_comm_i00 (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 119.32/119.56 Found ((or_comm_i0 (((rel_k V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 125.40/125.68 Found (((or_comm_i ((mnot p) V1)) (((rel_k V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 125.40/125.68 Found x3:(((rel_k S) V0)->False)
% 125.40/125.68 Instantiate: V0:=V00:fofType;V:=S:fofType
% 125.40/125.68 Found x3 as proof of (((rel_k V) V00)->False)
% 125.40/125.68 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 125.40/125.68 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 125.40/125.68 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 125.40/125.68 Found x1:(((rel_k S) V)->False)
% 125.40/125.68 Instantiate: V0:=S:fofType;V:=V1:fofType
% 125.40/125.68 Found x1 as proof of (((rel_k V0) V1)->False)
% 125.40/125.68 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 125.40/125.68 Found ((or_introl0 ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 125.40/125.68 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 125.40/125.68 Found x2:((rel_k V) V0)
% 125.40/125.68 Instantiate: V1:=V0:fofType;V:=W:fofType
% 125.40/125.68 Found x2 as proof of ((rel_k W) V1)
% 125.40/125.68 Found (x4 x2) as proof of False
% 125.40/125.68 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 125.40/125.68 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 125.40/125.68 Found x2:((rel_k V) V0)
% 125.40/125.68 Instantiate: V1:=V0:fofType;V:=W:fofType
% 125.40/125.68 Found x2 as proof of ((rel_k W) V1)
% 125.40/125.68 Found (x4 x2) as proof of False
% 125.40/125.68 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 125.40/125.68 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 125.40/125.68 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 125.40/125.68 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.40/125.68 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.40/125.68 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.40/125.68 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.40/125.68 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.40/125.68 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V00)))
% 125.40/125.68 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 125.40/125.68 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 125.40/125.68 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 125.40/125.68 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 125.40/125.68 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 125.40/125.68 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 125.40/125.68 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.40/125.68 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.40/125.68 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.40/125.68 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.40/125.68 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.40/125.68 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V00)))
% 131.91/132.16 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 131.91/132.16 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 131.91/132.16 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 131.91/132.16 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 131.91/132.16 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 131.91/132.16 Found or_intror00:=(or_intror0 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k W) V2)->False)))
% 131.91/132.16 Found (or_intror0 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 131.91/132.16 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 131.91/132.16 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 131.91/132.16 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 131.91/132.16 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 131.91/132.16 Found or_intror10:=(or_intror1 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or (p V0)) (((rel_k W) V2)->False)))
% 131.91/132.16 Found (or_intror1 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 131.91/132.16 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 131.91/132.16 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 131.91/132.16 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 131.91/132.16 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 131.91/132.16 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 131.91/132.16 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 131.91/132.16 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 131.91/132.16 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 131.91/132.16 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 131.91/132.16 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 131.91/132.16 Found or_introl00:=(or_introl0 (p V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V1)))
% 131.91/132.16 Found (or_introl0 (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 131.91/132.16 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 131.91/132.16 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 131.91/132.16 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 131.91/132.16 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 131.91/132.16 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 131.91/132.16 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 131.91/132.16 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 132.78/133.02 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) ((mnot p) V1)))
% 132.78/133.02 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 132.78/133.02 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V00)))
% 132.78/133.02 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 132.78/133.02 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 132.78/133.02 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 132.78/133.02 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V00)))
% 132.78/133.02 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 132.78/133.02 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) ((mnot p) V1)))
% 132.78/133.02 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 132.78/133.02 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 142.49/142.73 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 142.49/142.73 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 142.49/142.73 Found or_introl00:=(or_introl0 (p V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V1)))
% 142.49/142.73 Found (or_introl0 (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 142.49/142.73 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 142.49/142.73 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 142.49/142.73 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 142.49/142.73 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 142.49/142.73 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 142.49/142.73 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 142.49/142.73 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 142.49/142.73 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 142.49/142.73 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 142.49/142.73 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 142.49/142.73 Found x2:((rel_k V) V0)
% 142.49/142.73 Instantiate: V1:=V0:fofType;V:=S:fofType
% 142.49/142.73 Found x2 as proof of ((rel_k S) V1)
% 142.49/142.73 Found (x4 x2) as proof of False
% 142.49/142.73 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 142.49/142.73 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 142.49/142.73 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 142.49/142.73 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 142.49/142.73 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 142.49/142.73 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 142.49/142.73 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 142.49/142.73 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) ((mnot p) V0)))
% 142.49/142.73 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 142.49/142.73 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 142.49/142.73 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 142.49/142.73 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 142.49/142.73 Found x3:(((rel_k S) V0)->False)
% 142.49/142.73 Instantiate: V0:=V00:fofType;V:=S:fofType
% 142.49/142.73 Found x3 as proof of (((rel_k V) V00)->False)
% 142.49/142.73 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 142.49/142.73 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 142.49/142.73 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 142.49/142.73 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 142.49/142.73 Found (or_comm_i00 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 142.49/142.73 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 149.90/150.16 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 149.90/150.16 Found x2:((rel_k V) V0)
% 149.90/150.16 Instantiate: V1:=V0:fofType;V:=S:fofType
% 149.90/150.16 Found x2 as proof of ((rel_k S) V1)
% 149.90/150.16 Found (x4 x2) as proof of False
% 149.90/150.16 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 149.90/150.16 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 149.90/150.16 Found x3:(((rel_k S) V0)->False)
% 149.90/150.16 Instantiate: V0:=V00:fofType;V:=S:fofType
% 149.90/150.16 Found x3 as proof of (((rel_k V) V00)->False)
% 149.90/150.16 Found (or_intror00 x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 149.90/150.16 Found ((or_intror0 (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 149.90/150.16 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 149.90/150.16 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 149.90/150.16 Found (or_comm_i00 (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 149.90/150.16 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 149.90/150.16 Found (((or_comm_i ((mnot p) V00)) (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 149.90/150.16 Found or_intror10:=(or_intror1 (((rel_k S) V2)->False)):((((rel_k S) V2)->False)->((or (p V0)) (((rel_k S) V2)->False)))
% 149.90/150.16 Found (or_intror1 (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 149.90/150.16 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 149.90/150.16 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 149.90/150.16 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 149.90/150.16 Found or_intror00:=(or_intror0 (((rel_k S) V2)->False)):((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k S) V2)->False)))
% 149.90/150.16 Found (or_intror0 (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 149.90/150.16 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 149.90/150.16 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 149.90/150.16 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 149.90/150.16 Found x3:(((rel_k S) V0)->False)
% 149.90/150.16 Instantiate: V0:=V00:fofType;V:=S:fofType
% 149.90/150.16 Found x3 as proof of (((rel_k V) V00)->False)
% 149.90/150.16 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 149.90/150.16 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 149.90/150.16 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 149.90/150.16 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 149.90/150.16 Found (or_comm_i00 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 149.90/150.16 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 149.90/150.16 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 149.90/150.16 Found x1:(((rel_k S) V)->False)
% 149.90/150.16 Instantiate: V0:=S:fofType;V:=V1:fofType
% 149.90/150.16 Found x1 as proof of (((rel_k V0) V1)->False)
% 149.90/150.16 Found (or_intror10 x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 149.90/150.16 Found ((or_intror1 (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 152.59/152.90 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 152.59/152.90 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 152.59/152.90 Found (or_comm_i00 (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 152.59/152.90 Found ((or_comm_i0 (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 152.59/152.90 Found (((or_comm_i (p V1)) (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 152.59/152.90 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 152.59/152.90 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.59/152.90 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.59/152.90 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.59/152.90 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.59/152.90 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.59/152.90 Found x3:(((rel_k S) V0)->False)
% 152.59/152.90 Instantiate: V0:=V00:fofType;V:=S:fofType
% 152.59/152.90 Found x3 as proof of (((rel_k V) V00)->False)
% 152.59/152.90 Found (or_intror00 x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 152.59/152.90 Found ((or_intror0 (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 152.59/152.90 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 152.59/152.90 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 152.59/152.90 Found (or_comm_i00 (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 152.59/152.90 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 152.59/152.90 Found (((or_comm_i ((mnot p) V00)) (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 152.59/152.90 Found x1:(((rel_k S) V)->False)
% 152.59/152.90 Instantiate: V0:=S:fofType;V:=V1:fofType
% 152.59/152.90 Found x1 as proof of (((rel_k V0) V1)->False)
% 152.59/152.90 Found (or_intror00 x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 152.59/152.90 Found ((or_intror0 (((rel_k V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 152.59/152.90 Found (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 152.59/152.90 Found (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 152.59/152.90 Found (or_comm_i00 (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 152.59/152.90 Found ((or_comm_i0 (((rel_k V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 152.59/152.90 Found (((or_comm_i ((mnot p) V1)) (((rel_k V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 152.59/152.90 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 152.59/152.90 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.59/152.90 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.59/152.90 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.59/152.90 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.59/152.90 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 161.09/161.34 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 161.09/161.34 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found x2:((rel_k V) V0)
% 161.09/161.34 Instantiate: V1:=V0:fofType;V:=S:fofType
% 161.09/161.34 Found x2 as proof of ((rel_k S) V1)
% 161.09/161.34 Found (x4 x2) as proof of False
% 161.09/161.34 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 161.09/161.34 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 161.09/161.34 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 161.09/161.34 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 161.09/161.34 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 161.09/161.34 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 161.09/161.34 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 161.09/161.34 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 161.09/161.34 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 161.09/161.34 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) ((mnot p) V0)))
% 161.09/161.34 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 161.09/161.34 Found x2:((rel_k V) V0)
% 161.09/161.34 Instantiate: V1:=V0:fofType;V:=S:fofType
% 161.09/161.34 Found x2 as proof of ((rel_k S) V1)
% 161.09/161.34 Found (x4 x2) as proof of False
% 161.09/161.34 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 161.09/161.34 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 161.09/161.34 Found or_introl00:=(or_introl0 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 161.09/161.34 Found (or_introl0 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 161.09/161.34 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 165.65/165.94 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V00)))
% 165.65/165.94 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 165.65/165.94 Found or_introl00:=(or_introl0 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 165.65/165.94 Found (or_introl0 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 165.65/165.94 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V00)))
% 165.65/165.94 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 165.65/165.94 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 165.65/165.94 Found x30:False
% 165.65/165.94 Found (fun (x4:(p V0))=> x30) as proof of False
% 165.65/165.94 Found (fun (x4:(p V0))=> x30) as proof of ((mnot p) V0)
% 165.65/165.94 Found x4:((rel_k V) V0)
% 165.65/165.94 Instantiate: V2:=V0:fofType;V:=W:fofType
% 165.65/165.94 Found x4 as proof of ((rel_k W) V2)
% 165.65/165.94 Found (x6 x4) as proof of False
% 165.65/165.94 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 165.65/165.94 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 165.65/165.94 Found x4:((rel_k V) V0)
% 165.65/165.94 Instantiate: V2:=V0:fofType;V:=W:fofType
% 165.65/165.94 Found x4 as proof of ((rel_k W) V2)
% 165.65/165.94 Found (x6 x4) as proof of False
% 165.65/165.94 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 165.65/165.94 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 165.65/165.94 Found or_intror10:=(or_intror1 (((rel_k S) V2)->False)):((((rel_k S) V2)->False)->((or (p V0)) (((rel_k S) V2)->False)))
% 165.65/165.94 Found (or_intror1 (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 165.65/165.94 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 165.65/165.94 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 165.65/165.94 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 168.39/168.64 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 168.39/168.64 Found or_intror00:=(or_intror0 (((rel_k S) V2)->False)):((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k S) V2)->False)))
% 168.39/168.64 Found (or_intror0 (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 168.39/168.64 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 168.39/168.64 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 168.39/168.64 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 168.39/168.64 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 168.39/168.64 Found x3:(((rel_k W) V0)->False)
% 168.39/168.64 Instantiate: V0:=V00:fofType;V:=W:fofType
% 168.39/168.64 Found x3 as proof of (((rel_k V) V00)->False)
% 168.39/168.64 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 168.39/168.64 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 168.39/168.64 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 168.39/168.64 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 168.39/168.64 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_k p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 168.39/168.64 Found ((or_ind20 ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 168.39/168.64 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 168.39/168.64 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot (mbox_k p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot (mbox_k p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 168.39/168.64 Found ((((fun (P:Prop) (x5:((((rel_k W) V00)->False)->P)) (x6:(((mnot (mbox_k p)) V00)->P))=> ((((((or_ind (((rel_k W) V00)->False)) ((mnot (mbox_k p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 168.39/168.64 Found x3:(((rel_k W) V0)->False)
% 168.39/168.64 Instantiate: V0:=V00:fofType;V:=W:fofType
% 168.39/168.64 Found x3 as proof of (((rel_k V) V00)->False)
% 168.39/168.64 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 168.39/168.64 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 168.39/168.64 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 168.39/168.64 Found (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 168.39/168.64 Found (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3)) as proof of (((mdia_k p) V1)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 168.39/168.64 Found ((or_ind20 ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 168.39/168.64 Found (((or_ind2 ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 172.58/172.87 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mdia_k p) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mdia_k p) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 172.58/172.87 Found ((((fun (P:Prop) (x5:((((rel_k W) V00)->False)->P)) (x6:(((mdia_k p) V00)->P))=> ((((((or_ind (((rel_k W) V00)->False)) ((mdia_k p) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k W) V00)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V00))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 172.58/172.87 Found x4:((rel_k V) V0)
% 172.58/172.87 Instantiate: V2:=V0:fofType
% 172.58/172.87 Found x4 as proof of ((rel_k W) V2)
% 172.58/172.87 Found (x6 x4) as proof of False
% 172.58/172.87 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 172.58/172.87 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 172.58/172.87 Found x4:((rel_k V) V0)
% 172.58/172.87 Instantiate: V2:=V0:fofType
% 172.58/172.87 Found x4 as proof of ((rel_k W) V2)
% 172.58/172.87 Found (x6 x4) as proof of False
% 172.58/172.87 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 172.58/172.87 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 172.58/172.87 Found or_introl00:=(or_introl0 (p V1)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V1)))
% 172.58/172.87 Found (or_introl0 (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 172.58/172.87 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 172.58/172.87 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 172.58/172.87 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 172.58/172.87 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 172.58/172.87 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) ((mnot p) V1)))
% 172.58/172.87 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 172.58/172.87 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 172.58/172.87 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 172.58/172.87 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 172.58/172.87 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 172.58/172.87 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V00)))
% 172.58/172.87 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 172.58/172.87 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 172.58/172.87 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 172.58/172.87 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 172.58/172.87 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 172.58/172.87 Found or_introl00:=(or_introl0 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 172.58/172.87 Found (or_introl0 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 172.58/172.87 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 174.95/175.24 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V00)))
% 174.95/175.24 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 174.95/175.24 Found or_introl00:=(or_introl0 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 174.95/175.24 Found (or_introl0 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 174.95/175.24 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) ((mnot p) V1)))
% 174.95/175.24 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 174.95/175.24 Found or_introl00:=(or_introl0 (p V1)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V1)))
% 174.95/175.24 Found (or_introl0 (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 174.95/175.24 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 174.95/175.24 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 174.95/175.24 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 180.55/180.81 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 180.55/180.81 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 180.55/180.81 Found x3:(((rel_k W) V0)->False)
% 180.55/180.81 Instantiate: V0:=V00:fofType;V:=W:fofType
% 180.55/180.81 Found x3 as proof of (((rel_k V) V00)->False)
% 180.55/180.81 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 180.55/180.81 Found ((or_intror0 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 180.55/180.81 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 180.55/180.81 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 180.55/180.81 Found (or_comm_i10 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.55/180.81 Found ((or_comm_i1 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.55/180.81 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.55/180.81 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 180.55/180.81 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 180.55/180.81 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 180.55/180.81 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 180.55/180.81 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 180.55/180.81 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 180.55/180.81 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 180.55/180.81 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.55/180.81 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.55/180.81 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.55/180.81 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 180.55/180.81 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((mbox_k p) V)
% 180.55/180.81 Found x3:(((rel_k W) V0)->False)
% 180.55/180.81 Instantiate: V0:=V00:fofType;V:=W:fofType
% 180.55/180.81 Found x3 as proof of (((rel_k V) V00)->False)
% 180.55/180.81 Found (or_intror10 x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 180.55/180.81 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 180.55/180.81 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 180.55/180.81 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 180.55/180.81 Found (or_comm_i10 (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 180.55/180.81 Found ((or_comm_i1 (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 180.55/180.81 Found (((or_comm_i ((mnot p) V00)) (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 180.55/180.81 Found x3:(((rel_k W) V0)->False)
% 180.55/180.81 Instantiate: V0:=V00:fofType;V:=W:fofType
% 180.55/180.81 Found x3 as proof of (((rel_k V) V00)->False)
% 180.55/180.81 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.55/180.81 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.68/181.01 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.68/181.01 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.68/181.01 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_k p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 180.68/181.01 Found ((or_ind20 ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.68/181.01 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.68/181.01 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot (mbox_k p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot (mbox_k p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.68/181.02 Found ((((fun (P:Prop) (x5:((((rel_k W) V00)->False)->P)) (x6:(((mnot (mbox_k p)) V00)->P))=> ((((((or_ind (((rel_k W) V00)->False)) ((mnot (mbox_k p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 180.68/181.02 Found x3:(((rel_k W) V0)->False)
% 180.68/181.02 Instantiate: V0:=V00:fofType;V:=W:fofType
% 180.68/181.02 Found x3 as proof of (((rel_k V) V00)->False)
% 180.68/181.02 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 180.68/181.02 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 180.68/181.02 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 180.68/181.02 Found (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 180.68/181.02 Found (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3)) as proof of (((mdia_k p) V1)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 180.68/181.02 Found ((or_ind20 ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 180.68/181.02 Found (((or_ind2 ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 180.68/181.02 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mdia_k p) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mdia_k p) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 180.68/181.02 Found ((((fun (P:Prop) (x5:((((rel_k W) V00)->False)->P)) (x6:(((mdia_k p) V00)->P))=> ((((((or_ind (((rel_k W) V00)->False)) ((mdia_k p) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k W) V00)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V00))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 180.68/181.02 Found x1:(((rel_k W) V)->False)
% 180.68/181.02 Instantiate: V0:=W:fofType;V:=V1:fofType
% 180.68/181.02 Found x1 as proof of (((rel_k V0) V1)->False)
% 180.68/181.02 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 180.68/181.02 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 180.68/181.02 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 182.08/182.36 Found (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 182.08/182.36 Found (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1)) as proof of (((mdia_k p) V2)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 182.08/182.36 Found ((or_ind20 ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 182.08/182.36 Found (((or_ind2 ((or (((rel_k V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 182.08/182.36 Found ((((fun (P:Prop) (x5:((((rel_k W) V2)->False)->P)) (x6:(((mdia_k p) V2)->P))=> ((((((or_ind (((rel_k W) V2)->False)) ((mdia_k p) V2)) P) x5) x6) x4)) ((or (((rel_k V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 182.08/182.36 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mdia_k p) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mdia_k p) V1)) P) x5) x6) (x V1))) ((or (((rel_k V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_k W) V1)->False)) ((mnot p) V1))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 182.08/182.36 Found x1:(((rel_k W) V)->False)
% 182.08/182.36 Instantiate: V0:=W:fofType;V:=V1:fofType
% 182.08/182.36 Found x1 as proof of (((rel_k V0) V1)->False)
% 182.08/182.36 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 182.08/182.36 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 182.08/182.36 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 182.08/182.36 Found (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 182.08/182.36 Found (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of (((mnot (mbox_k p)) V2)->((or (((rel_k V0) V1)->False)) (p V1)))
% 182.08/182.36 Found ((or_ind20 ((or_introl (((rel_k W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 182.08/182.36 Found (((or_ind2 ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 182.08/182.36 Found ((((fun (P:Prop) (x5:((((rel_k W) V2)->False)->P)) (x6:(((mnot (mbox_k p)) V2)->P))=> ((((((or_ind (((rel_k W) V2)->False)) ((mnot (mbox_k p)) V2)) P) x5) x6) x4)) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 182.08/182.36 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot (mbox_k p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot (mbox_k p)) V1)) P) x5) x6) (x V1))) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k W) V1)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 182.08/182.36 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) ((mnot p) V00))):((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 182.08/182.36 Found (False_rect0 ((or (((rel_k V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 182.08/182.36 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 182.08/182.36 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 190.14/190.43 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 190.14/190.43 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of ((mbox_k (mnot p)) V)
% 190.14/190.43 Found x3:(((rel_k W) V0)->False)
% 190.14/190.43 Instantiate: V0:=V00:fofType;V:=W:fofType
% 190.14/190.43 Found x3 as proof of (((rel_k V) V00)->False)
% 190.14/190.43 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 190.14/190.43 Found ((or_intror0 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 190.14/190.43 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 190.14/190.43 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 190.14/190.43 Found (or_comm_i10 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 190.14/190.43 Found ((or_comm_i1 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 190.14/190.43 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 190.14/190.43 Found x1:(((rel_k W) V)->False)
% 190.14/190.43 Instantiate: V0:=W:fofType;V:=V1:fofType
% 190.14/190.43 Found x1 as proof of (((rel_k V0) V1)->False)
% 190.14/190.43 Found (or_intror00 x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 190.14/190.43 Found ((or_intror0 (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 190.14/190.43 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 190.14/190.43 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 190.14/190.43 Found (or_comm_i10 (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 190.14/190.43 Found ((or_comm_i1 (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 190.14/190.43 Found (((or_comm_i (p V1)) (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 190.14/190.43 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 190.14/190.43 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 190.14/190.43 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 190.14/190.43 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 190.14/190.43 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 190.14/190.43 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((mbox_k p) V)
% 190.14/190.43 Found False_rect00:=(False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))):((or (((rel_k V0) V1)->False)) (p V1))
% 190.14/190.43 Found (False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 190.14/190.43 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 190.14/190.43 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 190.14/190.43 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_k V0) V)->False)) (p V)))
% 190.14/190.43 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of ((mbox_k p) V0)
% 190.14/190.43 Found x3:(((rel_k W) V0)->False)
% 190.14/190.43 Instantiate: V0:=V00:fofType;V:=W:fofType
% 190.14/190.43 Found x3 as proof of (((rel_k V) V00)->False)
% 191.46/191.75 Found (or_intror10 x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 191.46/191.75 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 191.46/191.75 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 191.46/191.75 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 191.46/191.75 Found (or_comm_i10 (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 191.46/191.75 Found ((or_comm_i1 (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 191.46/191.75 Found (((or_comm_i ((mnot p) V00)) (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 191.46/191.75 Found x1:(((rel_k W) V)->False)
% 191.46/191.75 Instantiate: V0:=W:fofType;V:=V1:fofType
% 191.46/191.75 Found x1 as proof of (((rel_k V0) V1)->False)
% 191.46/191.75 Found (or_intror10 x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 191.46/191.75 Found ((or_intror1 (((rel_k V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 191.46/191.75 Found (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 191.46/191.75 Found (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 191.46/191.75 Found (or_comm_i10 (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 191.46/191.75 Found ((or_comm_i1 (((rel_k V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 191.46/191.75 Found (((or_comm_i ((mnot p) V1)) (((rel_k V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 191.46/191.75 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) ((mnot p) V00))):((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 191.46/191.75 Found (False_rect0 ((or (((rel_k V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 191.46/191.75 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 191.46/191.75 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 191.46/191.75 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 191.46/191.75 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of ((mbox_k (mnot p)) V)
% 191.46/191.75 Found x3:(((rel_k W) V0)->False)
% 191.46/191.75 Instantiate: V0:=V00:fofType;V:=W:fofType
% 191.46/191.75 Found x3 as proof of (((rel_k V) V00)->False)
% 191.46/191.75 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 191.46/191.75 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 191.46/191.75 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 191.46/191.75 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 191.46/191.75 Found False_rect00:=(False_rect0 ((or (((rel_k V0) V1)->False)) ((mnot p) V1))):((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 191.46/191.75 Found (False_rect0 ((or (((rel_k V0) V1)->False)) ((mnot p) V1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 191.46/191.75 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) ((mnot p) V1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 191.46/191.75 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) ((mnot p) V1)))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 191.46/191.75 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) ((mnot p) V1)))) as proof of (forall (V:fofType), ((or (((rel_k V0) V)->False)) ((mnot p) V)))
% 196.78/197.05 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) ((mnot p) V1)))) as proof of ((mbox_k (mnot p)) V0)
% 196.78/197.05 Found or_intror00:=(or_intror0 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or (p V0)) (((rel_k W) V2)->False)))
% 196.78/197.05 Found (or_intror0 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 196.78/197.05 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 196.78/197.05 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 196.78/197.05 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 196.78/197.05 Found or_intror10:=(or_intror1 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k W) V2)->False)))
% 196.78/197.05 Found (or_intror1 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 196.78/197.05 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 196.78/197.05 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 196.78/197.05 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 196.78/197.05 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 196.78/197.05 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 196.78/197.05 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 196.78/197.05 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 196.78/197.05 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 196.78/197.05 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 196.78/197.05 Found x3:(((rel_k W) V0)->False)
% 196.78/197.05 Instantiate: V0:=V00:fofType;V:=W:fofType
% 196.78/197.05 Found x3 as proof of (((rel_k V) V00)->False)
% 196.78/197.05 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 196.78/197.05 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 196.78/197.05 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 196.78/197.05 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 196.78/197.05 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 196.78/197.05 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 196.78/197.05 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 196.78/197.05 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 196.78/197.05 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 196.78/197.05 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 196.78/197.05 Found x30:False
% 196.78/197.05 Found (fun (x4:(p V00))=> x30) as proof of False
% 196.78/197.05 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 196.78/197.05 Found x2:((rel_k V) V0)
% 196.78/197.05 Instantiate: V1:=V0:fofType;V:=W:fofType
% 196.78/197.05 Found x2 as proof of ((rel_k W) V1)
% 196.78/197.05 Found (x4 x2) as proof of False
% 196.78/197.05 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 196.78/197.05 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 196.78/197.05 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 201.55/201.86 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 201.55/201.86 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 201.55/201.86 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 201.55/201.86 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 201.55/201.86 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 201.55/201.86 Found x2:((rel_k V) V0)
% 201.55/201.86 Instantiate: V1:=V0:fofType;V:=W:fofType
% 201.55/201.86 Found x2 as proof of ((rel_k W) V1)
% 201.55/201.86 Found (x4 x2) as proof of False
% 201.55/201.86 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 201.55/201.86 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 201.55/201.86 Found x3:(((rel_k W) V0)->False)
% 201.55/201.86 Instantiate: V0:=V00:fofType;V:=W:fofType
% 201.55/201.86 Found x3 as proof of (((rel_k V) V00)->False)
% 201.55/201.86 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 201.55/201.86 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 201.55/201.86 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 201.55/201.86 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 201.55/201.86 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 201.55/201.86 Found or_introl20:=(or_introl2 ((mnot p) V2)):((((rel_k W) V3)->False)->((or (((rel_k W) V3)->False)) ((mnot p) V2)))
% 201.55/201.86 Found (or_introl2 ((mnot p) V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 201.55/201.86 Found or_introl10:=(or_introl1 (p V2)):((((rel_k W) V3)->False)->((or (((rel_k W) V3)->False)) (p V2)))
% 201.55/201.86 Found (or_introl1 (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 201.55/201.86 Found or_introl10:=(or_introl1 ((mnot p) V2)):((((rel_k W) V3)->False)->((or (((rel_k W) V3)->False)) ((mnot p) V2)))
% 201.55/201.86 Found (or_introl1 ((mnot p) V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 201.55/201.86 Found ((or_introl (((rel_k W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 204.67/204.93 Found ((or_introl (((rel_k W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 204.67/204.93 Found ((or_introl (((rel_k W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 204.67/204.93 Found x3:(((rel_k W) V0)->False)
% 204.67/204.93 Instantiate: V0:=V00:fofType;V:=W:fofType
% 204.67/204.93 Found x3 as proof of (((rel_k V) V00)->False)
% 204.67/204.93 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 204.67/204.93 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 204.67/204.93 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 204.67/204.93 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 204.67/204.93 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 204.67/204.93 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 204.67/204.93 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 204.67/204.93 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 204.67/204.93 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 204.67/204.93 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 204.67/204.93 Found x3:(((rel_k W) V0)->False)
% 204.67/204.93 Instantiate: V0:=V00:fofType;V:=W:fofType
% 204.67/204.93 Found x3 as proof of (((rel_k V) V00)->False)
% 204.67/204.93 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 204.67/204.93 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 204.67/204.93 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 204.67/204.93 Found x1:(((rel_k W) V)->False)
% 204.67/204.93 Instantiate: V0:=W:fofType;V:=V1:fofType
% 204.67/204.93 Found x1 as proof of (((rel_k V0) V1)->False)
% 204.67/204.93 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 204.67/204.93 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 204.67/204.93 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 204.67/204.93 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 204.67/204.93 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 204.67/204.93 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 204.67/204.93 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 204.67/204.93 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 204.67/204.93 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 204.67/204.93 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 204.67/204.93 Found x3:(((rel_k W) V0)->False)
% 204.67/204.93 Instantiate: V0:=V00:fofType;V:=W:fofType
% 204.67/204.93 Found x3 as proof of (((rel_k V) V00)->False)
% 204.67/204.93 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 204.67/204.93 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 204.67/204.93 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 204.67/204.93 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 204.67/204.93 Found x1:(((rel_k W) V)->False)
% 204.67/204.93 Instantiate: V0:=W:fofType;V:=V1:fofType
% 204.67/204.93 Found x1 as proof of (((rel_k V0) V1)->False)
% 204.67/204.93 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 204.67/204.93 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 208.25/208.52 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 208.25/208.52 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 208.25/208.52 Found x30:False
% 208.25/208.52 Found (fun (x4:(p V00))=> x30) as proof of False
% 208.25/208.52 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 208.25/208.52 Found or_introl10:=(or_introl1 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 208.25/208.52 Found (or_introl1 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 208.25/208.52 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V00)))
% 208.25/208.52 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 208.25/208.52 Found x10:False
% 208.25/208.52 Found (fun (x4:(p V1))=> x10) as proof of False
% 208.25/208.52 Found (fun (x4:(p V1))=> x10) as proof of ((mnot p) V1)
% 208.25/208.52 Found x30:False
% 208.25/208.52 Found (fun (x4:(p V0))=> x30) as proof of False
% 208.25/208.52 Found (fun (x4:(p V0))=> x30) as proof of ((mnot p) V0)
% 208.25/208.52 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V00)))
% 208.25/208.52 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 208.25/208.52 Found or_introl10:=(or_introl1 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 208.25/208.52 Found (or_introl1 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 208.25/208.52 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 208.25/208.52 Found x30:False
% 208.25/208.52 Found (fun (x5:((mdia_k p) V1))=> x30) as proof of False
% 208.25/208.52 Found (fun (x5:((mdia_k p) V1))=> x30) as proof of (((mdia_k p) V1)->False)
% 208.25/208.52 Found x30:False
% 208.25/208.52 Found (fun (x5:((mnot (mbox_k p)) V1))=> x30) as proof of False
% 208.25/208.52 Found (fun (x5:((mnot (mbox_k p)) V1))=> x30) as proof of (((mnot (mbox_k p)) V1)->False)
% 212.56/212.88 Found x30:False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 212.56/212.88 Found x30:False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 212.56/212.88 Found x10:False
% 212.56/212.88 Found (fun (x5:((mdia_k p) V1))=> x10) as proof of False
% 212.56/212.88 Found (fun (x5:((mdia_k p) V1))=> x10) as proof of (((mdia_k p) V1)->False)
% 212.56/212.88 Found x10:False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 212.56/212.88 Found x10:False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 212.56/212.88 Found x10:False
% 212.56/212.88 Found (fun (x5:((mnot (mbox_k p)) V1))=> x10) as proof of False
% 212.56/212.88 Found (fun (x5:((mnot (mbox_k p)) V1))=> x10) as proof of (((mnot (mbox_k p)) V1)->False)
% 212.56/212.88 Found x10:False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 212.56/212.88 Found x30:False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 212.56/212.88 Found x30:False
% 212.56/212.88 Found (fun (x5:((mdia_k p) V1))=> x30) as proof of False
% 212.56/212.88 Found (fun (x5:((mdia_k p) V1))=> x30) as proof of (((mdia_k p) V1)->False)
% 212.56/212.88 Found x10:False
% 212.56/212.88 Found (fun (x5:((mdia_k p) V1))=> x10) as proof of False
% 212.56/212.88 Found (fun (x5:((mdia_k p) V1))=> x10) as proof of (((mdia_k p) V1)->False)
% 212.56/212.88 Found x30:False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 212.56/212.88 Found x10:False
% 212.56/212.88 Found (fun (x5:((mnot (mbox_k p)) V1))=> x10) as proof of False
% 212.56/212.88 Found (fun (x5:((mnot (mbox_k p)) V1))=> x10) as proof of (((mnot (mbox_k p)) V1)->False)
% 212.56/212.88 Found x10:False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 212.56/212.88 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 212.56/212.88 Found x30:False
% 212.56/212.88 Found (fun (x5:((mnot (mbox_k p)) V1))=> x30) as proof of False
% 212.56/212.88 Found (fun (x5:((mnot (mbox_k p)) V1))=> x30) as proof of (((mnot (mbox_k p)) V1)->False)
% 212.56/212.88 Found x3:(((rel_k W) V0)->False)
% 212.56/212.88 Instantiate: V0:=V00:fofType;V:=W:fofType
% 212.56/212.88 Found x3 as proof of (((rel_k V) V00)->False)
% 212.56/212.88 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 212.56/212.88 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 212.56/212.88 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 212.56/212.88 Found x1:(((rel_k W) V)->False)
% 212.56/212.88 Instantiate: V0:=W:fofType;V:=V1:fofType
% 212.56/212.88 Found x1 as proof of (((rel_k V0) V1)->False)
% 212.56/212.88 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.56/212.88 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.56/212.88 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.56/212.88 Found x4:((rel_k V) V0)
% 212.56/212.88 Instantiate: V2:=V0:fofType;V:=S:fofType
% 212.56/212.88 Found x4 as proof of ((rel_k S) V2)
% 212.56/212.88 Found (x6 x4) as proof of False
% 212.56/212.88 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of False
% 212.56/212.88 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of ((((rel_k S) V2)->False)->False)
% 212.56/212.88 Found x4:((rel_k V) V0)
% 212.56/212.88 Instantiate: V2:=V0:fofType;V:=S:fofType
% 212.56/212.88 Found x4 as proof of ((rel_k S) V2)
% 212.56/212.88 Found (x6 x4) as proof of False
% 212.56/212.88 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of False
% 212.56/212.88 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of ((((rel_k S) V2)->False)->False)
% 212.56/212.88 Found or_intror00:=(or_intror0 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or (p V0)) (((rel_k W) V2)->False)))
% 212.56/212.88 Found (or_intror0 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 212.56/212.88 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 212.56/212.88 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 215.77/216.10 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 215.77/216.10 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 215.77/216.10 Found or_intror10:=(or_intror1 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k W) V2)->False)))
% 215.77/216.10 Found (or_intror1 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 215.77/216.10 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 215.77/216.10 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 215.77/216.10 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 215.77/216.10 Found ((or_intror ((mnot p) V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 215.77/216.10 Found x3:(((rel_k W) V0)->False)
% 215.77/216.10 Instantiate: V0:=V00:fofType;V:=W:fofType
% 215.77/216.10 Found x3 as proof of (((rel_k V) V00)->False)
% 215.77/216.10 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 215.77/216.10 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 215.77/216.10 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 215.77/216.10 Found x1:(((rel_k W) V)->False)
% 215.77/216.10 Instantiate: V0:=W:fofType;V:=V1:fofType
% 215.77/216.10 Found x1 as proof of (((rel_k V0) V1)->False)
% 215.77/216.10 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 215.77/216.10 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 215.77/216.10 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 215.77/216.10 Found x3:(((rel_k S) V0)->False)
% 215.77/216.10 Instantiate: V0:=V00:fofType;V:=S:fofType
% 215.77/216.10 Found x3 as proof of (((rel_k V) V00)->False)
% 215.77/216.10 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 215.77/216.10 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 215.77/216.10 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 215.77/216.10 Found (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 215.77/216.10 Found (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3)) as proof of (((mdia_k p) V1)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 215.77/216.10 Found ((or_ind20 ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 215.77/216.10 Found (((or_ind2 ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 215.77/216.10 Found ((((fun (P:Prop) (x5:((((rel_k S) V1)->False)->P)) (x6:(((mdia_k p) V1)->P))=> ((((((or_ind (((rel_k S) V1)->False)) ((mdia_k p) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 215.77/216.10 Found ((((fun (P:Prop) (x5:((((rel_k S) V00)->False)->P)) (x6:(((mdia_k p) V00)->P))=> ((((((or_ind (((rel_k S) V00)->False)) ((mdia_k p) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k S) V00)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V00))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 215.77/216.10 Found x3:(((rel_k S) V0)->False)
% 217.87/218.14 Instantiate: V0:=V00:fofType;V:=S:fofType
% 217.87/218.14 Found x3 as proof of (((rel_k V) V00)->False)
% 217.87/218.14 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 217.87/218.14 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 217.87/218.14 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 217.87/218.14 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 217.87/218.14 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot ((mbox rel_k) p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 217.87/218.14 Found ((or_ind20 ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 217.87/218.14 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 217.87/218.14 Found ((((fun (P:Prop) (x5:((((rel_k S) V1)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V1)->P))=> ((((((or_ind (((rel_k S) V1)->False)) ((mnot ((mbox rel_k) p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 217.87/218.14 Found ((((fun (P:Prop) (x5:((((rel_k S) V00)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V00)->P))=> ((((((or_ind (((rel_k S) V00)->False)) ((mnot ((mbox rel_k) p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V00)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 217.87/218.14 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) ((mnot p) V1)))
% 217.87/218.14 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 217.87/218.14 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 217.87/218.14 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 217.87/218.14 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 217.87/218.14 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 217.87/218.14 Found or_introl10:=(or_introl1 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 217.87/218.14 Found (or_introl1 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 217.87/218.14 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 217.87/218.14 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 217.87/218.14 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 217.87/218.14 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 217.87/218.14 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V00)))
% 217.87/218.14 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 217.87/218.14 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 217.87/218.14 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 220.65/220.95 Found or_introl10:=(or_introl1 (p V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V1)))
% 220.65/220.95 Found (or_introl1 (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 220.65/220.95 Found x4:((rel_k V) V0)
% 220.65/220.95 Instantiate: V2:=V0:fofType
% 220.65/220.95 Found x4 as proof of ((rel_k S) V2)
% 220.65/220.95 Found (x6 x4) as proof of False
% 220.65/220.95 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of False
% 220.65/220.95 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of ((((rel_k S) V2)->False)->False)
% 220.65/220.95 Found x4:((rel_k V) V0)
% 220.65/220.95 Instantiate: V2:=V0:fofType
% 220.65/220.95 Found x4 as proof of ((rel_k S) V2)
% 220.65/220.95 Found (x6 x4) as proof of False
% 220.65/220.95 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of False
% 220.65/220.95 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of ((((rel_k S) V2)->False)->False)
% 220.65/220.95 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V00)))
% 220.65/220.95 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 220.65/220.95 Found or_introl10:=(or_introl1 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 220.65/220.95 Found (or_introl1 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 220.65/220.95 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) ((mnot p) V1)))
% 220.65/220.95 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 220.65/220.95 Found ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 220.65/220.95 Found or_introl10:=(or_introl1 (p V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V1)))
% 220.65/220.95 Found (or_introl1 (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 228.96/229.28 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 228.96/229.28 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 228.96/229.28 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 228.96/229.28 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 228.96/229.28 Found x3:(((rel_k S) V0)->False)
% 228.96/229.28 Instantiate: V0:=V00:fofType;V:=S:fofType
% 228.96/229.28 Found x3 as proof of (((rel_k V) V00)->False)
% 228.96/229.28 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 228.96/229.28 Found ((or_intror0 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 228.96/229.28 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 228.96/229.28 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 228.96/229.28 Found (or_comm_i10 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.96/229.28 Found ((or_comm_i1 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.96/229.28 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.96/229.28 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 228.96/229.28 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.96/229.28 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.96/229.28 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.96/229.28 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 228.96/229.28 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (((mbox rel_k) p) V)
% 228.96/229.28 Found x3:(((rel_k S) V0)->False)
% 228.96/229.28 Instantiate: V0:=V00:fofType;V:=S:fofType
% 228.96/229.28 Found x3 as proof of (((rel_k V) V00)->False)
% 228.96/229.28 Found (or_intror10 x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 228.96/229.28 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 228.96/229.28 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 228.96/229.28 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 228.96/229.28 Found (or_comm_i10 (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 228.96/229.28 Found ((or_comm_i1 (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 228.96/229.28 Found (((or_comm_i ((mnot p) V00)) (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 228.96/229.28 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 228.96/229.28 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 228.96/229.28 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 228.96/229.28 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 228.96/229.28 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 228.96/229.28 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 229.52/229.78 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) ((mnot p) V00))):((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 229.52/229.78 Found (False_rect0 ((or (((rel_k V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 229.52/229.78 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 229.52/229.78 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 229.52/229.78 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 229.52/229.78 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of ((mbox_k (mnot p)) V)
% 229.52/229.78 Found x3:(((rel_k S) V0)->False)
% 229.52/229.78 Instantiate: V0:=V00:fofType;V:=S:fofType
% 229.52/229.78 Found x3 as proof of (((rel_k V) V00)->False)
% 229.52/229.78 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 229.52/229.78 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 229.52/229.78 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 229.52/229.78 Found (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 229.52/229.78 Found (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3)) as proof of (((mdia_k p) V1)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 229.52/229.78 Found ((or_ind20 ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 229.52/229.78 Found (((or_ind2 ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 229.52/229.78 Found ((((fun (P:Prop) (x5:((((rel_k S) V1)->False)->P)) (x6:(((mdia_k p) V1)->P))=> ((((((or_ind (((rel_k S) V1)->False)) ((mdia_k p) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 229.52/229.78 Found ((((fun (P:Prop) (x5:((((rel_k S) V00)->False)->P)) (x6:(((mdia_k p) V00)->P))=> ((((((or_ind (((rel_k S) V00)->False)) ((mdia_k p) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k S) V00)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V00))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 229.52/229.78 Found x3:(((rel_k S) V0)->False)
% 229.52/229.78 Instantiate: V0:=V00:fofType;V:=S:fofType
% 229.52/229.78 Found x3 as proof of (((rel_k V) V00)->False)
% 229.52/229.78 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 229.52/229.78 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 229.52/229.78 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 229.52/229.78 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 229.52/229.78 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot ((mbox rel_k) p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 229.52/229.78 Found ((or_ind20 ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 229.52/229.78 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 229.82/230.08 Found ((((fun (P:Prop) (x5:((((rel_k S) V1)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V1)->P))=> ((((((or_ind (((rel_k S) V1)->False)) ((mnot ((mbox rel_k) p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 229.82/230.08 Found ((((fun (P:Prop) (x5:((((rel_k S) V00)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V00)->P))=> ((((((or_ind (((rel_k S) V00)->False)) ((mnot ((mbox rel_k) p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V00)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 229.82/230.08 Found x1:(((rel_k S) V)->False)
% 229.82/230.08 Instantiate: V0:=S:fofType;V:=V1:fofType
% 229.82/230.08 Found x1 as proof of (((rel_k V0) V1)->False)
% 229.82/230.08 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 229.82/230.08 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 229.82/230.08 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 229.82/230.08 Found (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 229.82/230.08 Found (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1)) as proof of (((mdia_k p) V2)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 229.82/230.08 Found ((or_ind20 ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 229.82/230.08 Found (((or_ind2 ((or (((rel_k V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 229.82/230.08 Found ((((fun (P:Prop) (x5:((((rel_k S) V2)->False)->P)) (x6:(((mdia_k p) V2)->P))=> ((((((or_ind (((rel_k S) V2)->False)) ((mdia_k p) V2)) P) x5) x6) x4)) ((or (((rel_k V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 229.82/230.08 Found ((((fun (P:Prop) (x5:((((rel_k S) V1)->False)->P)) (x6:(((mdia_k p) V1)->P))=> ((((((or_ind (((rel_k S) V1)->False)) ((mdia_k p) V1)) P) x5) x6) (x V1))) ((or (((rel_k V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_k S) V1)->False)) ((mnot p) V1))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 229.82/230.08 Found x1:(((rel_k S) V)->False)
% 229.82/230.08 Instantiate: V0:=S:fofType;V:=V1:fofType
% 229.82/230.08 Found x1 as proof of (((rel_k V0) V1)->False)
% 229.82/230.08 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 229.82/230.08 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 229.82/230.08 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 229.82/230.08 Found (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 229.82/230.08 Found (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of (((mnot ((mbox rel_k) p)) V2)->((or (((rel_k V0) V1)->False)) (p V1)))
% 229.82/230.08 Found ((or_ind20 ((or_introl (((rel_k S) V2)->False)) (p V1))) (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 229.82/230.08 Found (((or_ind2 ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k S) V2)->False)) (p V1))) (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 233.62/233.95 Found ((((fun (P:Prop) (x5:((((rel_k S) V2)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V2)->P))=> ((((((or_ind (((rel_k S) V2)->False)) ((mnot ((mbox rel_k) p)) V2)) P) x5) x6) x4)) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k S) V2)->False)) (p V1))) (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 233.62/233.95 Found ((((fun (P:Prop) (x5:((((rel_k S) V1)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V1)->P))=> ((((((or_ind (((rel_k S) V1)->False)) ((mnot ((mbox rel_k) p)) V1)) P) x5) x6) (x V1))) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k S) V1)->False)) (p V1))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 233.62/233.95 Found x30:False
% 233.62/233.95 Found (fun (x4:(p V00))=> x30) as proof of False
% 233.62/233.95 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 233.62/233.95 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 233.62/233.95 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 233.62/233.95 Found (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 233.62/233.95 Found (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 233.62/233.95 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 233.62/233.95 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 233.62/233.95 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 233.62/233.95 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 233.62/233.95 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 233.62/233.95 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 233.62/233.95 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 233.62/233.95 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 233.62/233.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 233.62/233.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 233.62/233.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 233.62/233.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 233.62/233.95 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) ((mnot p) V0)))
% 233.62/233.95 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 233.62/233.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 233.62/233.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 233.62/233.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 233.62/233.95 Found ((or_introl (((rel_k W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 233.62/233.95 Found x3:(((rel_k S) V0)->False)
% 233.62/233.95 Instantiate: V0:=V00:fofType;V:=S:fofType
% 233.62/233.95 Found x3 as proof of (((rel_k V) V00)->False)
% 233.62/233.95 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 233.62/233.95 Found ((or_intror0 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 239.15/239.42 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 239.15/239.42 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 239.15/239.42 Found (or_comm_i10 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 239.15/239.42 Found ((or_comm_i1 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 239.15/239.42 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 239.15/239.42 Found x1:(((rel_k S) V)->False)
% 239.15/239.42 Instantiate: V0:=S:fofType;V:=V1:fofType
% 239.15/239.42 Found x1 as proof of (((rel_k V0) V1)->False)
% 239.15/239.42 Found (or_intror00 x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 239.15/239.42 Found ((or_intror0 (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 239.15/239.42 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 239.15/239.42 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 239.15/239.42 Found (or_comm_i10 (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 239.15/239.42 Found ((or_comm_i1 (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 239.15/239.42 Found (((or_comm_i (p V1)) (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 239.15/239.42 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 239.15/239.42 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 239.15/239.42 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 239.15/239.42 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 239.15/239.42 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 239.15/239.42 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (((mbox rel_k) p) V)
% 239.15/239.42 Found False_rect00:=(False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))):((or (((rel_k V0) V1)->False)) (p V1))
% 239.15/239.42 Found (False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 239.15/239.42 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 239.15/239.42 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 239.15/239.42 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_k V0) V)->False)) (p V)))
% 239.15/239.42 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of (((mbox rel_k) p) V0)
% 239.15/239.42 Found x3:(((rel_k S) V0)->False)
% 239.15/239.42 Instantiate: V0:=V00:fofType;V:=S:fofType
% 239.15/239.42 Found x3 as proof of (((rel_k V) V00)->False)
% 239.15/239.42 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 239.15/239.42 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 239.15/239.42 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 239.15/239.42 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 239.15/239.42 Found x3:(((rel_k S) V0)->False)
% 239.15/239.42 Instantiate: V0:=V00:fofType;V:=S:fofType
% 239.15/239.42 Found x3 as proof of (((rel_k V) V00)->False)
% 239.15/239.42 Found (or_intror10 x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 239.15/239.42 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 239.95/240.21 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 239.95/240.21 Found (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3) as proof of ((or ((mnot p) V00)) (((rel_k V) V00)->False))
% 239.95/240.21 Found (or_comm_i10 (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 239.95/240.21 Found ((or_comm_i1 (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 239.95/240.21 Found (((or_comm_i ((mnot p) V00)) (((rel_k V) V00)->False)) (((or_intror ((mnot p) V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 239.95/240.21 Found x1:(((rel_k S) V)->False)
% 239.95/240.21 Instantiate: V0:=S:fofType;V:=V1:fofType
% 239.95/240.21 Found x1 as proof of (((rel_k V0) V1)->False)
% 239.95/240.21 Found (or_intror10 x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 239.95/240.21 Found ((or_intror1 (((rel_k V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 239.95/240.21 Found (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 239.95/240.21 Found (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or ((mnot p) V1)) (((rel_k V0) V1)->False))
% 239.95/240.21 Found (or_comm_i10 (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 239.95/240.21 Found ((or_comm_i1 (((rel_k V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 239.95/240.21 Found (((or_comm_i ((mnot p) V1)) (((rel_k V0) V1)->False)) (((or_intror ((mnot p) V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 239.95/240.21 Found x30:False
% 239.95/240.21 Found (fun (x4:(p V00))=> x30) as proof of False
% 239.95/240.21 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 239.95/240.21 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 239.95/240.21 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 239.95/240.21 Found (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 239.95/240.21 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 239.95/240.21 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 239.95/240.21 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) ((mnot p) V00))):((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 239.95/240.21 Found (False_rect0 ((or (((rel_k V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 239.95/240.21 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 239.95/240.21 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 239.95/240.21 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 239.95/240.21 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of ((mbox_k (mnot p)) V)
% 239.95/240.21 Found False_rect00:=(False_rect0 ((or (((rel_k V0) V1)->False)) ((mnot p) V1))):((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 239.95/240.21 Found (False_rect0 ((or (((rel_k V0) V1)->False)) ((mnot p) V1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 239.95/240.21 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) ((mnot p) V1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 239.95/240.21 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) ((mnot p) V1)))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 242.35/242.61 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) ((mnot p) V1)))) as proof of (forall (V:fofType), ((or (((rel_k V0) V)->False)) ((mnot p) V)))
% 242.35/242.61 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) ((mnot p) V1)))) as proof of ((mbox_k (mnot p)) V0)
% 242.35/242.61 Found x3:(((rel_k S) V0)->False)
% 242.35/242.61 Instantiate: V0:=V00:fofType;V:=S:fofType
% 242.35/242.61 Found x3 as proof of (((rel_k V) V00)->False)
% 242.35/242.61 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 242.35/242.61 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 242.35/242.61 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 242.35/242.61 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 242.35/242.61 Found x10:False
% 242.35/242.61 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 242.35/242.61 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 242.35/242.61 Found x10:False
% 242.35/242.61 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of False
% 242.35/242.61 Found (fun (x3:((mdia_k p) V0))=> x10) as proof of (((mdia_k p) V0)->False)
% 242.35/242.61 Found x30:False
% 242.35/242.61 Found (fun (x4:(p V00))=> x30) as proof of False
% 242.35/242.61 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 242.35/242.61 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 242.35/242.61 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 242.35/242.61 Found (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 242.35/242.61 Found (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 242.35/242.61 Found x10:False
% 242.35/242.61 Found (fun (x4:(p V1))=> x10) as proof of False
% 242.35/242.61 Found (fun (x4:(p V1))=> x10) as proof of ((mnot p) V1)
% 242.35/242.61 Found (or_intror00 (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 242.35/242.61 Found ((or_intror0 ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 242.35/242.61 Found (((or_intror (((rel_k V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 242.35/242.61 Found (((or_intror (((rel_k V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 242.35/242.61 Found x30:False
% 242.35/242.61 Found (fun (x4:(p V00))=> x30) as proof of False
% 242.35/242.61 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 242.35/242.61 Found x2:((rel_k V) V0)
% 242.35/242.61 Instantiate: V1:=V0:fofType;V:=S:fofType
% 242.35/242.61 Found x2 as proof of ((rel_k S) V1)
% 242.35/242.61 Found (x4 x2) as proof of False
% 242.35/242.61 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 242.35/242.61 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 242.35/242.61 Found or_intror10:=(or_intror1 (((rel_k S) V2)->False)):((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k S) V2)->False)))
% 242.35/242.61 Found (or_intror1 (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 242.35/242.61 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 242.35/242.61 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 242.35/242.61 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 242.35/242.61 Found or_intror00:=(or_intror0 (((rel_k S) V2)->False)):((((rel_k S) V2)->False)->((or (p V0)) (((rel_k S) V2)->False)))
% 242.35/242.61 Found (or_intror0 (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 242.35/242.61 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 242.35/242.61 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 250.86/251.12 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 250.86/251.12 Found x3:(((rel_k S) V0)->False)
% 250.86/251.12 Instantiate: V0:=V00:fofType;V:=S:fofType
% 250.86/251.12 Found x3 as proof of (((rel_k V) V00)->False)
% 250.86/251.12 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 250.86/251.12 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 250.86/251.12 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 250.86/251.12 Found x10:False
% 250.86/251.12 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 250.86/251.12 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 250.86/251.12 Found x10:False
% 250.86/251.12 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 250.86/251.12 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 250.86/251.12 Found x3:(((rel_k S) V0)->False)
% 250.86/251.12 Instantiate: V0:=V00:fofType;V:=S:fofType
% 250.86/251.12 Found x3 as proof of (((rel_k V) V00)->False)
% 250.86/251.12 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 250.86/251.12 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 250.86/251.12 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 250.86/251.12 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 250.86/251.12 Found x1:(((rel_k S) V)->False)
% 250.86/251.12 Instantiate: V0:=S:fofType;V:=V1:fofType
% 250.86/251.12 Found x1 as proof of (((rel_k V0) V1)->False)
% 250.86/251.12 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 250.86/251.12 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 250.86/251.12 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 250.86/251.12 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 250.86/251.12 Found x30:False
% 250.86/251.12 Found (fun (x4:(p V0))=> x30) as proof of False
% 250.86/251.12 Found (fun (x4:(p V0))=> x30) as proof of ((mnot p) V0)
% 250.86/251.12 Found x2:((rel_k V) V0)
% 250.86/251.12 Instantiate: V1:=V0:fofType;V:=S:fofType
% 250.86/251.12 Found x2 as proof of ((rel_k S) V1)
% 250.86/251.12 Found (x4 x2) as proof of False
% 250.86/251.12 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 250.86/251.12 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 250.86/251.12 Found x3:(((rel_k S) V0)->False)
% 250.86/251.12 Instantiate: V0:=V00:fofType;V:=S:fofType
% 250.86/251.12 Found x3 as proof of (((rel_k V) V00)->False)
% 250.86/251.12 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 250.86/251.12 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 250.86/251.12 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 250.86/251.12 Found x30:False
% 250.86/251.12 Found (fun (x4:(p V00))=> x30) as proof of False
% 250.86/251.12 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 250.86/251.12 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 250.86/251.12 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 250.86/251.12 Found (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 250.86/251.12 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 250.86/251.12 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 250.86/251.12 Found x10:False
% 250.86/251.12 Found (fun (x4:(p V1))=> x10) as proof of False
% 250.86/251.12 Found (fun (x4:(p V1))=> x10) as proof of ((mnot p) V1)
% 250.86/251.12 Found (or_intror00 (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 250.86/251.12 Found ((or_intror0 ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 250.86/251.12 Found (((or_intror (((rel_k V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 250.86/251.12 Found (fun (V1:fofType)=> (((or_intror (((rel_k V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 253.36/253.61 Found (fun (V1:fofType)=> (((or_intror (((rel_k V0) V1)->False)) ((mnot p) V1)) (fun (x4:(p V1))=> x10))) as proof of (forall (V:fofType), ((or (((rel_k V0) V)->False)) ((mnot p) V)))
% 253.36/253.61 Found or_intror10:=(or_intror1 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or (p V0)) (((rel_k W) V1)->False)))
% 253.36/253.61 Found (or_intror1 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 253.36/253.61 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 253.36/253.61 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 253.36/253.61 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 253.36/253.61 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 253.36/253.61 Found x3:(((rel_k S) V0)->False)
% 253.36/253.61 Instantiate: V0:=V00:fofType;V:=S:fofType
% 253.36/253.61 Found x3 as proof of (((rel_k V) V00)->False)
% 253.36/253.61 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 253.36/253.61 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 253.36/253.61 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 253.36/253.61 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 253.36/253.61 Found x1:(((rel_k S) V)->False)
% 253.36/253.61 Instantiate: V0:=S:fofType;V:=V1:fofType
% 253.36/253.61 Found x1 as proof of (((rel_k V0) V1)->False)
% 253.36/253.61 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 253.36/253.61 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 253.36/253.61 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 253.36/253.61 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 253.36/253.61 Found or_introl10:=(or_introl1 (p V2)):((((rel_k S) V3)->False)->((or (((rel_k S) V3)->False)) (p V2)))
% 253.36/253.61 Found (or_introl1 (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 253.36/253.61 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 253.36/253.61 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 253.36/253.61 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 253.36/253.61 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 253.36/253.61 Found or_introl20:=(or_introl2 ((mnot p) V2)):((((rel_k S) V3)->False)->((or (((rel_k S) V3)->False)) ((mnot p) V2)))
% 253.36/253.61 Found (or_introl2 ((mnot p) V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 253.36/253.61 Found ((or_introl (((rel_k S) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 253.36/253.61 Found ((or_introl (((rel_k S) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 253.36/253.61 Found ((or_introl (((rel_k S) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 253.36/253.61 Found ((or_introl (((rel_k S) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 253.36/253.61 Found x30:False
% 253.36/253.61 Found (fun (x4:(p V00))=> x30) as proof of False
% 253.36/253.61 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 253.36/253.61 Found or_intror10:=(or_intror1 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or (p V0)) (((rel_k W) V1)->False)))
% 253.36/253.61 Found (or_intror1 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 253.36/253.61 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found or_intror00:=(or_intror0 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k W) V1)->False)))
% 255.67/255.96 Found (or_intror0 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found or_introl10:=(or_introl1 ((mnot p) V2)):((((rel_k S) V3)->False)->((or (((rel_k S) V3)->False)) ((mnot p) V2)))
% 255.67/255.96 Found (or_introl1 ((mnot p) V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 255.67/255.96 Found ((or_introl (((rel_k S) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 255.67/255.96 Found ((or_introl (((rel_k S) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 255.67/255.96 Found ((or_introl (((rel_k S) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 255.67/255.96 Found ((or_introl (((rel_k S) V3)->False)) ((mnot p) V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) ((mnot p) V2)))
% 255.67/255.96 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 255.67/255.96 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 255.67/255.96 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 255.67/255.96 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 255.67/255.96 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 255.67/255.96 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 255.67/255.96 Found x10:False
% 255.67/255.96 Found (fun (x4:(p V1))=> x10) as proof of False
% 255.67/255.96 Found (fun (x4:(p V1))=> x10) as proof of ((mnot p) V1)
% 255.67/255.96 Found or_intror00:=(or_intror0 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k W) V1)->False)))
% 255.67/255.96 Found (or_intror0 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found ((or_intror ((mnot p) V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 255.67/255.96 Found x3:(((rel_k S) V0)->False)
% 255.67/255.96 Instantiate: V0:=V00:fofType;V:=S:fofType
% 255.67/255.96 Found x3 as proof of (((rel_k V) V00)->False)
% 255.67/255.96 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 255.67/255.96 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 259.56/259.82 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 259.56/259.82 Found x1:(((rel_k S) V)->False)
% 259.56/259.82 Instantiate: V0:=S:fofType;V:=V1:fofType
% 259.56/259.82 Found x1 as proof of (((rel_k V0) V1)->False)
% 259.56/259.82 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 259.56/259.82 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 259.56/259.82 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 259.56/259.82 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 259.56/259.82 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 259.56/259.82 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V00)))
% 259.56/259.82 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 259.56/259.82 Found or_introl10:=(or_introl1 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 259.56/259.82 Found (or_introl1 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 259.56/259.82 Found x30:False
% 259.56/259.82 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of False
% 259.56/259.82 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of ((((rel_k S) V1)->False)->False)
% 259.56/259.82 Found x30:False
% 259.56/259.82 Found (fun (x5:((mdia_k p) V1))=> x30) as proof of False
% 259.56/259.82 Found (fun (x5:((mdia_k p) V1))=> x30) as proof of (((mdia_k p) V1)->False)
% 259.56/259.82 Found x30:False
% 259.56/259.82 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x30) as proof of False
% 259.56/259.82 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x30) as proof of (((mnot ((mbox rel_k) p)) V1)->False)
% 259.56/259.82 Found x30:False
% 259.56/259.82 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of False
% 259.56/259.82 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of ((((rel_k S) V1)->False)->False)
% 259.56/259.82 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V00)))
% 259.56/259.82 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 259.56/259.82 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 263.63/263.91 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 263.63/263.91 Found or_introl10:=(or_introl1 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 263.63/263.91 Found (or_introl1 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 263.63/263.91 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 263.63/263.91 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 263.63/263.91 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 263.63/263.91 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 263.63/263.91 Found x10:False
% 263.63/263.91 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of False
% 263.63/263.91 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of ((((rel_k S) V1)->False)->False)
% 263.63/263.91 Found x10:False
% 263.63/263.91 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x10) as proof of False
% 263.63/263.91 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x10) as proof of (((mnot ((mbox rel_k) p)) V1)->False)
% 263.63/263.91 Found x10:False
% 263.63/263.91 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of False
% 263.63/263.91 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of ((((rel_k S) V1)->False)->False)
% 263.63/263.91 Found x10:False
% 263.63/263.91 Found (fun (x5:((mdia_k p) V1))=> x10) as proof of False
% 263.63/263.91 Found (fun (x5:((mdia_k p) V1))=> x10) as proof of (((mdia_k p) V1)->False)
% 263.63/263.91 Found x30:False
% 263.63/263.91 Found (fun (x5:((mdia_k p) V1))=> x30) as proof of False
% 263.63/263.91 Found (fun (x5:((mdia_k p) V1))=> x30) as proof of (((mdia_k p) V1)->False)
% 263.63/263.91 Found x10:False
% 263.63/263.91 Found (fun (x5:((mdia_k p) V1))=> x10) as proof of False
% 263.63/263.91 Found (fun (x5:((mdia_k p) V1))=> x10) as proof of (((mdia_k p) V1)->False)
% 263.63/263.91 Found x30:False
% 263.63/263.91 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of False
% 263.63/263.91 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of ((((rel_k S) V1)->False)->False)
% 263.63/263.91 Found x10:False
% 263.63/263.91 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of False
% 263.63/263.91 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of ((((rel_k S) V1)->False)->False)
% 263.63/263.91 Found x10:False
% 263.63/263.91 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of False
% 263.63/263.91 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of ((((rel_k S) V1)->False)->False)
% 263.63/263.91 Found x30:False
% 263.63/263.91 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of False
% 263.63/263.91 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of ((((rel_k S) V1)->False)->False)
% 263.63/263.91 Found x30:False
% 263.63/263.91 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x30) as proof of False
% 263.63/263.91 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x30) as proof of (((mnot ((mbox rel_k) p)) V1)->False)
% 263.63/263.91 Found x10:False
% 263.63/263.91 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x10) as proof of False
% 263.63/263.91 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x10) as proof of (((mnot ((mbox rel_k) p)) V1)->False)
% 263.63/263.91 Found x3:(((rel_k W) V0)->False)
% 263.63/263.91 Instantiate: V0:=V00:fofType;V:=W:fofType
% 263.63/263.91 Found x3 as proof of (((rel_k V) V00)->False)
% 263.63/263.91 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 263.63/263.91 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 263.63/263.91 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 263.63/263.91 Found x3:(((rel_k S) V0)->False)
% 263.63/263.91 Instantiate: V0:=V00:fofType;V:=S:fofType
% 263.63/263.91 Found x3 as proof of (((rel_k V) V00)->False)
% 263.63/263.91 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 263.63/263.91 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 263.63/263.91 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 263.63/263.91 Found x1:(((rel_k S) V)->False)
% 263.63/263.91 Instantiate: V0:=S:fofType;V:=V1:fofType
% 263.63/263.91 Found x1 as proof of (((rel_k V0) V1)->False)
% 263.63/263.91 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 263.63/263.91 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 263.63/263.91 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 272.34/272.66 Found x3:(((rel_k W) V0)->False)
% 272.34/272.66 Instantiate: V0:=V00:fofType;V:=W:fofType
% 272.34/272.66 Found x3 as proof of (((rel_k V) V00)->False)
% 272.34/272.66 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 272.34/272.66 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 272.34/272.66 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 272.34/272.66 Found x3:(((rel_k W) V0)->False)
% 272.34/272.66 Instantiate: V0:=V00:fofType;V:=W:fofType
% 272.34/272.66 Found x3 as proof of (((rel_k V) V00)->False)
% 272.34/272.66 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 272.34/272.66 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 272.34/272.66 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 272.34/272.66 Found x3:(((rel_k W) V0)->False)
% 272.34/272.66 Instantiate: V0:=V00:fofType;V:=W:fofType
% 272.34/272.66 Found x3 as proof of (((rel_k V) V00)->False)
% 272.34/272.66 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 272.34/272.66 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 272.34/272.66 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 272.34/272.66 Found or_intror10:=(or_intror1 (((rel_k S) V2)->False)):((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k S) V2)->False)))
% 272.34/272.66 Found (or_intror1 (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 272.34/272.66 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 272.34/272.66 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 272.34/272.66 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 272.34/272.66 Found ((or_intror ((mnot p) V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or ((mnot p) V0)) (((rel_k V) V0)->False)))
% 272.34/272.66 Found or_intror00:=(or_intror0 (((rel_k S) V2)->False)):((((rel_k S) V2)->False)->((or (p V0)) (((rel_k S) V2)->False)))
% 272.34/272.66 Found (or_intror0 (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 272.34/272.66 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 272.34/272.66 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 272.34/272.66 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 272.34/272.66 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 272.34/272.66 Found x4:((rel_k V) V0)
% 272.34/272.66 Instantiate: V2:=V0:fofType;V:=W:fofType
% 272.34/272.66 Found x4 as proof of ((rel_k W) V2)
% 272.34/272.66 Found (x6 x4) as proof of False
% 272.34/272.66 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 272.34/272.66 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 272.34/272.66 Found x4:((rel_k V) V0)
% 272.34/272.66 Instantiate: V2:=V0:fofType;V:=W:fofType
% 272.34/272.66 Found x4 as proof of ((rel_k W) V2)
% 272.34/272.66 Found (x6 x4) as proof of False
% 272.34/272.66 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 272.34/272.66 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 272.34/272.66 Found x3:(((rel_k W) V0)->False)
% 272.34/272.66 Instantiate: V0:=V00:fofType;V:=W:fofType
% 272.34/272.66 Found x3 as proof of (((rel_k V) V00)->False)
% 272.34/272.66 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 272.34/272.66 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 272.34/272.66 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 272.34/272.66 Found (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 274.73/275.07 Found (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3)) as proof of (((mdia_k p) V1)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 274.73/275.07 Found ((or_ind20 ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 274.73/275.07 Found (((or_ind2 ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 274.73/275.07 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mdia_k p) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mdia_k p) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 274.73/275.07 Found ((((fun (P:Prop) (x5:((((rel_k W) V00)->False)->P)) (x6:(((mdia_k p) V00)->P))=> ((((((or_ind (((rel_k W) V00)->False)) ((mdia_k p) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k W) V00)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V00))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 274.73/275.07 Found x3:(((rel_k W) V0)->False)
% 274.73/275.07 Instantiate: V0:=V00:fofType;V:=W:fofType
% 274.73/275.07 Found x3 as proof of (((rel_k V) V00)->False)
% 274.73/275.07 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.73/275.07 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.73/275.07 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.73/275.07 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.73/275.07 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_k p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 274.73/275.07 Found ((or_ind20 ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.73/275.07 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.73/275.07 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot (mbox_k p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot (mbox_k p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.73/275.07 Found ((((fun (P:Prop) (x5:((((rel_k W) V00)->False)->P)) (x6:(((mnot (mbox_k p)) V00)->P))=> ((((((or_ind (((rel_k W) V00)->False)) ((mnot (mbox_k p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.73/275.07 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) ((mnot p) V1)))
% 274.73/275.07 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 274.73/275.07 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 274.73/275.07 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 274.73/275.07 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 275.81/276.12 Found or_introl10:=(or_introl1 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 275.81/276.12 Found (or_introl1 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 275.81/276.12 Found or_introl10:=(or_introl1 (p V1)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V1)))
% 275.81/276.12 Found (or_introl1 (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 275.81/276.12 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V00)))
% 275.81/276.12 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 275.81/276.12 Found or_introl10:=(or_introl1 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 275.81/276.12 Found (or_introl1 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 275.81/276.12 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V00)))
% 275.81/276.12 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 275.81/276.12 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 275.81/276.12 Found x30:False
% 275.81/276.12 Found (fun (x4:(p V0))=> x30) as proof of False
% 275.81/276.12 Found (fun (x4:(p V0))=> x30) as proof of ((mnot p) V0)
% 283.20/283.51 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 283.20/283.51 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 283.20/283.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 283.20/283.51 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 283.20/283.51 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 283.20/283.51 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((mbox_k p) V)
% 283.20/283.51 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) ((mnot p) V1)))
% 283.20/283.51 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 283.20/283.51 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 283.20/283.51 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 283.20/283.51 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 283.20/283.51 Found ((or_introl (((rel_k S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 283.20/283.51 Found or_introl10:=(or_introl1 (p V1)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V1)))
% 283.20/283.51 Found (or_introl1 (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 283.20/283.51 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 283.20/283.51 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 283.20/283.51 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 283.20/283.51 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 283.20/283.51 Found x3:(((rel_k W) V0)->False)
% 283.20/283.51 Instantiate: V0:=V00:fofType;V:=W:fofType
% 283.20/283.51 Found x3 as proof of (((rel_k V) V00)->False)
% 283.20/283.51 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 283.20/283.51 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 283.20/283.51 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 283.20/283.51 Found x1:(((rel_k W) V)->False)
% 283.20/283.51 Instantiate: V0:=W:fofType;V:=V1:fofType
% 283.20/283.51 Found x1 as proof of (((rel_k V0) V1)->False)
% 283.20/283.51 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 283.20/283.51 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 283.20/283.51 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 283.20/283.51 Found x4:((rel_k V) V0)
% 283.20/283.51 Instantiate: V2:=V0:fofType
% 283.20/283.51 Found x4 as proof of ((rel_k W) V2)
% 283.20/283.51 Found (x6 x4) as proof of False
% 283.20/283.51 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 283.20/283.51 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 283.20/283.51 Found x4:((rel_k V) V0)
% 283.20/283.51 Instantiate: V2:=V0:fofType
% 283.20/283.51 Found x4 as proof of ((rel_k W) V2)
% 283.20/283.51 Found (x6 x4) as proof of False
% 283.20/283.51 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 283.20/283.51 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 283.20/283.51 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) ((mnot p) V00))):((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 283.20/283.51 Found (False_rect0 ((or (((rel_k V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 283.20/283.51 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 287.00/287.37 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 287.00/287.37 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 287.00/287.37 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof of ((mbox_k (mnot p)) V)
% 287.00/287.37 Found x3:(((rel_k W) V0)->False)
% 287.00/287.37 Instantiate: V0:=V00:fofType;V:=W:fofType
% 287.00/287.37 Found x3 as proof of (((rel_k V) V00)->False)
% 287.00/287.37 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 287.00/287.37 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 287.00/287.37 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 287.00/287.37 Found x3:(((rel_k W) V0)->False)
% 287.00/287.37 Instantiate: V0:=V00:fofType;V:=W:fofType
% 287.00/287.37 Found x3 as proof of (((rel_k V) V00)->False)
% 287.00/287.37 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 287.00/287.37 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 287.00/287.37 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 287.00/287.37 Found x1:(((rel_k W) V)->False)
% 287.00/287.37 Instantiate: V0:=W:fofType;V:=V1:fofType
% 287.00/287.37 Found x1 as proof of (((rel_k V0) V1)->False)
% 287.00/287.37 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 287.00/287.37 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 287.00/287.37 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 287.00/287.37 Found x1:(((rel_k W) V)->False)
% 287.00/287.37 Instantiate: V0:=W:fofType;V:=V1:fofType
% 287.00/287.37 Found x1 as proof of (((rel_k V0) V1)->False)
% 287.00/287.37 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 287.00/287.37 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 287.00/287.37 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 287.00/287.37 Found x3:(((rel_k W) V0)->False)
% 287.00/287.37 Instantiate: V0:=V00:fofType;V:=W:fofType
% 287.00/287.37 Found x3 as proof of (((rel_k V) V00)->False)
% 287.00/287.37 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 287.00/287.37 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 287.00/287.37 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 287.00/287.37 Found x1:(((rel_k W) V)->False)
% 287.00/287.37 Instantiate: V0:=W:fofType;V:=V1:fofType
% 287.00/287.37 Found x1 as proof of (((rel_k V0) V1)->False)
% 287.00/287.37 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 287.00/287.37 Found ((or_introl1 ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 287.00/287.37 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 287.00/287.37 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 287.00/287.37 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 287.00/287.37 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 287.00/287.37 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 287.00/287.37 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 287.00/287.37 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 287.00/287.37 Found x3:(((rel_k W) V0)->False)
% 287.00/287.37 Instantiate: V0:=V00:fofType;V:=W:fofType
% 287.00/287.37 Found x3 as proof of (((rel_k V) V00)->False)
% 287.00/287.37 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 287.00/287.37 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 287.00/287.37 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 290.34/290.63 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 290.34/290.63 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 290.34/290.63 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 290.34/290.63 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 290.34/290.63 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 290.34/290.63 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 290.34/290.63 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 290.34/290.63 Found x30:False
% 290.34/290.63 Found (fun (x4:(p V00))=> x30) as proof of False
% 290.34/290.63 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 290.34/290.63 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 290.34/290.63 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 290.34/290.63 Found (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 290.34/290.63 Found (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 290.34/290.63 Found x4:((rel_k V) V0)
% 290.34/290.63 Instantiate: V2:=V0:fofType;V:=W:fofType
% 290.34/290.63 Found x4 as proof of ((rel_k W) V2)
% 290.34/290.63 Found (x6 x4) as proof of False
% 290.34/290.63 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 290.34/290.63 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 290.34/290.63 Found x4:((rel_k V) V0)
% 290.34/290.63 Instantiate: V2:=V0:fofType;V:=W:fofType
% 290.34/290.63 Found x4 as proof of ((rel_k W) V2)
% 290.34/290.63 Found (x6 x4) as proof of False
% 290.34/290.63 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 290.34/290.63 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 290.34/290.63 Found x3:(((rel_k W) V0)->False)
% 290.34/290.63 Instantiate: V0:=V00:fofType;V:=W:fofType
% 290.34/290.63 Found x3 as proof of (((rel_k V) V00)->False)
% 290.34/290.63 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 290.34/290.63 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 290.34/290.63 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 290.34/290.63 Found (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 290.34/290.63 Found (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3)) as proof of (((mdia_k p) V1)->((or (((rel_k V) V00)->False)) ((mnot p) V00)))
% 290.34/290.63 Found ((or_ind20 ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 290.34/290.63 Found (((or_ind2 ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 290.34/290.63 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mdia_k p) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mdia_k p) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k W) V1)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 290.34/290.63 Found ((((fun (P:Prop) (x5:((((rel_k W) V00)->False)->P)) (x6:(((mdia_k p) V00)->P))=> ((((((or_ind (((rel_k W) V00)->False)) ((mdia_k p) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) ((or_introl (((rel_k W) V00)->False)) ((mnot p) V00))) (fun (x5:((mdia_k p) V00))=> (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 290.65/290.97 Found x3:(((rel_k W) V0)->False)
% 290.65/290.97 Instantiate: V0:=V00:fofType;V:=W:fofType
% 290.65/290.97 Found x3 as proof of (((rel_k V) V00)->False)
% 290.65/290.97 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 290.65/290.97 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 290.65/290.97 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 290.65/290.97 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 290.65/290.97 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_k p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.65/290.97 Found ((or_ind20 ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 290.65/290.97 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 290.65/290.97 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot (mbox_k p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot (mbox_k p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 290.65/290.97 Found ((((fun (P:Prop) (x5:((((rel_k W) V00)->False)->P)) (x6:(((mnot (mbox_k p)) V00)->P))=> ((((((or_ind (((rel_k W) V00)->False)) ((mnot (mbox_k p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 290.65/290.97 Found x1:(((rel_k W) V)->False)
% 290.65/290.97 Instantiate: V0:=W:fofType;V:=V1:fofType
% 290.65/290.97 Found x1 as proof of (((rel_k V0) V1)->False)
% 290.65/290.97 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 290.65/290.97 Found ((or_introl0 ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 290.65/290.97 Found (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 290.65/290.97 Found (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1)) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 290.65/290.97 Found (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1)) as proof of (((mdia_k p) V2)->((or (((rel_k V0) V1)->False)) ((mnot p) V1)))
% 290.65/290.97 Found ((or_ind20 ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 290.65/290.97 Found (((or_ind2 ((or (((rel_k V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 290.65/290.97 Found ((((fun (P:Prop) (x5:((((rel_k W) V2)->False)->P)) (x6:(((mdia_k p) V2)->P))=> ((((((or_ind (((rel_k W) V2)->False)) ((mdia_k p) V2)) P) x5) x6) x4)) ((or (((rel_k V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_k W) V2)->False)) ((mnot p) V1))) (fun (x5:((mdia_k p) V2))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 290.65/290.97 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mdia_k p) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mdia_k p) V1)) P) x5) x6) (x V1))) ((or (((rel_k V0) V1)->False)) ((mnot p) V1))) ((or_introl (((rel_k W) V1)->False)) ((mnot p) V1))) (fun (x5:((mdia_k p) V1))=> (((or_introl (((rel_k V0) V1)->False)) ((mnot p) V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) ((mnot p) V1))
% 293.93/294.23 Found x1:(((rel_k W) V)->False)
% 293.93/294.23 Instantiate: V0:=W:fofType;V:=V1:fofType
% 293.93/294.23 Found x1 as proof of (((rel_k V0) V1)->False)
% 293.93/294.23 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 293.93/294.23 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 293.93/294.23 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 293.93/294.23 Found (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 293.93/294.23 Found (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of (((mnot (mbox_k p)) V2)->((or (((rel_k V0) V1)->False)) (p V1)))
% 293.93/294.23 Found ((or_ind20 ((or_introl (((rel_k W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 293.93/294.23 Found (((or_ind2 ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 293.93/294.23 Found ((((fun (P:Prop) (x5:((((rel_k W) V2)->False)->P)) (x6:(((mnot (mbox_k p)) V2)->P))=> ((((((or_ind (((rel_k W) V2)->False)) ((mnot (mbox_k p)) V2)) P) x5) x6) x4)) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 293.93/294.23 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot (mbox_k p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot (mbox_k p)) V1)) P) x5) x6) (x V1))) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k W) V1)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 293.93/294.23 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 293.93/294.23 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 293.93/294.23 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 293.93/294.23 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 293.93/294.23 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 293.93/294.23 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 293.93/294.23 Found x3:(((rel_k W) V0)->False)
% 293.93/294.23 Instantiate: V0:=V00:fofType;V:=W:fofType
% 293.93/294.23 Found x3 as proof of (((rel_k V) V00)->False)
% 293.93/294.23 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 293.93/294.23 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 293.93/294.23 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 293.93/294.23 Found (((or_introl (((rel_k V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 293.93/294.23 Found x30:False
% 293.93/294.23 Found (fun (x4:(p V00))=> x30) as proof of False
% 293.93/294.23 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 293.93/294.23 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 293.93/294.23 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 293.93/294.23 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 293.93/294.23 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 293.93/294.23 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 293.93/294.23 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((mbox_k p) V)
% 299.10/299.47 Found False_rect00:=(False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))):((or (((rel_k V0) V1)->False)) (p V1))
% 299.10/299.47 Found (False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 299.10/299.47 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 299.10/299.47 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 299.10/299.47 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_k V0) V)->False)) (p V)))
% 299.10/299.47 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of ((mbox_k p) V0)
% 299.10/299.47 Found x4:((rel_k V) V0)
% 299.10/299.47 Instantiate: V2:=V0:fofType
% 299.10/299.47 Found x4 as proof of ((rel_k W) V2)
% 299.10/299.47 Found (x6 x4) as proof of False
% 299.10/299.47 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 299.10/299.47 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 299.10/299.47 Found x4:((rel_k V) V0)
% 299.10/299.47 Instantiate: V2:=V0:fofType
% 299.10/299.47 Found x4 as proof of ((rel_k W) V2)
% 299.10/299.47 Found (x6 x4) as proof of False
% 299.10/299.47 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 299.10/299.47 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 299.10/299.47 Found x3:(((rel_k W) V0)->False)
% 299.10/299.47 Instantiate: V0:=V00:fofType;V:=W:fofType
% 299.10/299.47 Found x3 as proof of (((rel_k V) V00)->False)
% 299.10/299.47 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 299.10/299.47 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 299.10/299.47 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 299.10/299.47 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) ((mnot p) V0)))
% 299.10/299.47 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 299.10/299.47 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 299.10/299.47 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 299.10/299.47 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 299.10/299.47 Found ((or_introl (((rel_k S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 299.10/299.47 Found x30:False
% 299.10/299.47 Found (fun (x4:(p V00))=> x30) as proof of False
% 299.10/299.47 Found (fun (x4:(p V00))=> x30) as proof of ((mnot p) V00)
% 299.10/299.47 Found (or_intror00 (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 299.10/299.47 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 299.10/299.47 Found (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30)) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 299.10/299.47 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 299.10/299.47 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> x30))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) ((mnot p) V0)))
% 299.10/299.47 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) ((mnot p) V00))):((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 299.10/299.47 Found (False_rect0 ((or (((rel_k V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 299.10/299.47 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00))) as proof of ((or (((rel_k V) V00)->False)) ((mnot p) V00))
% 299.10/299.47 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) ((mnot p) V00)))) as proof
%------------------------------------------------------------------------------