TSTP Solution File: SYO423^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO423^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:23 EDT 2022
% Result : Timeout 300.03s 300.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO423^1 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n013.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 : Sat Mar 12 14:26:37 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.40/0.58 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.40/0.58 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.40/0.58 FOF formula (<kernel.Constant object at 0x2ab73634d7e8>, <kernel.Type object at 0x2ab73634dd40>) of role type named mu_type
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring mu:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0x2ab73634d638>, <kernel.DependentProduct object at 0x2ab73634d7e8>) of role type named meq_ind_type
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.40/0.58 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.40/0.58 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.40/0.58 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.40/0.58 FOF formula (<kernel.Constant object at 0x2ab73634d7e8>, <kernel.DependentProduct object at 0x2ab73634da70>) of role type named meq_prop_type
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.58 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.40/0.58 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.40/0.58 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.40/0.58 FOF formula (<kernel.Constant object at 0x2ab73634d560>, <kernel.DependentProduct object at 0x2ab73634d830>) of role type named mnot_type
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.40/0.58 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.40/0.58 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.40/0.58 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.40/0.58 FOF formula (<kernel.Constant object at 0x2ab73634fef0>, <kernel.DependentProduct object at 0x2ab73634d3f8>) of role type named mor_type
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.58 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.40/0.58 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.40/0.58 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.40/0.58 FOF formula (<kernel.Constant object at 0x2ab72e850e60>, <kernel.DependentProduct object at 0x2ab73634d3b0>) of role type named mand_type
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.58 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.40/0.58 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.40/0.58 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.40/0.58 FOF formula (<kernel.Constant object at 0x1590e60>, <kernel.DependentProduct object at 0x2ab73634db90>) of role type named mimplies_type
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.58 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.40/0.58 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.40/0.58 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.40/0.58 FOF formula (<kernel.Constant object at 0x2ab73634db90>, <kernel.DependentProduct object at 0x2ab73634df80>) of role type named mimplied_type
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.58 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.40/0.58 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.40/0.58 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.40/0.58 FOF formula (<kernel.Constant object at 0x2ab73634df80>, <kernel.DependentProduct object at 0x2ab73634dd40>) of role type named mequiv_type
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.58 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.40/0.58 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.40/0.58 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.40/0.58 FOF formula (<kernel.Constant object at 0x2ab73634dd40>, <kernel.DependentProduct object at 0x2ab73634d638>) of role type named mxor_type
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.58 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.40/0.58 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.40/0.58 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.40/0.58 FOF formula (<kernel.Constant object at 0x2ab73634dfc8>, <kernel.DependentProduct object at 0x2ab73634d3f8>) of role type named mforall_ind_type
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.40/0.58 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.40/0.58 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.40/0.58 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.40/0.58 FOF formula (<kernel.Constant object at 0x2ab73634df80>, <kernel.DependentProduct object at 0x1595170>) of role type named mforall_prop_type
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.40/0.58 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.40/0.58 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.40/0.58 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.40/0.58 FOF formula (<kernel.Constant object at 0x2ab73634dfc8>, <kernel.DependentProduct object at 0x1595830>) of role type named mexists_ind_type
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.40/0.58 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.40/0.59 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.40/0.59 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.40/0.59 FOF formula (<kernel.Constant object at 0x2ab73634dfc8>, <kernel.DependentProduct object at 0x1595e60>) of role type named mexists_prop_type
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.40/0.59 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.40/0.59 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.40/0.59 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.40/0.59 FOF formula (<kernel.Constant object at 0x2ab73634dfc8>, <kernel.DependentProduct object at 0x15954d0>) of role type named mtrue_type
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring mtrue:(fofType->Prop)
% 0.40/0.59 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.40/0.59 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.40/0.59 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.40/0.59 FOF formula (<kernel.Constant object at 0x15954d0>, <kernel.DependentProduct object at 0x1595ef0>) of role type named mfalse_type
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring mfalse:(fofType->Prop)
% 0.40/0.59 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.40/0.59 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.40/0.59 Defined: mfalse:=(mnot mtrue)
% 0.40/0.59 FOF formula (<kernel.Constant object at 0x1595e60>, <kernel.DependentProduct object at 0x1595ea8>) of role type named mbox_type
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.59 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.40/0.59 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.40/0.59 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.40/0.59 FOF formula (<kernel.Constant object at 0x1595ea8>, <kernel.DependentProduct object at 0x1595b90>) of role type named mdia_type
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.59 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.40/0.59 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.40/0.59 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.40/0.59 FOF formula (<kernel.Constant object at 0x1595680>, <kernel.DependentProduct object at 0x1595440>) of role type named mreflexive_type
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.40/0.59 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.40/0.59 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.40/0.59 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.40/0.59 FOF formula (<kernel.Constant object at 0x1595440>, <kernel.DependentProduct object at 0x1595dd0>) of role type named msymmetric_type
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.40/0.60 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
% 0.40/0.60 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)))))
% 0.40/0.60 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0x1595ef0>, <kernel.DependentProduct object at 0x1595dd0>) of role type named mserial_type
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.40/0.60 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
% 0.40/0.60 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))))))
% 0.40/0.60 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0x1595b00>, <kernel.DependentProduct object at 0x1595440>) of role type named mtransitive_type
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.40/0.60 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
% 0.40/0.60 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)))))
% 0.40/0.60 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0x1595dd0>, <kernel.DependentProduct object at 0x1596950>) of role type named meuclidean_type
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.40/0.60 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
% 0.40/0.60 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)))))
% 0.40/0.60 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0x1595ef0>, <kernel.DependentProduct object at 0x1596e60>) of role type named mpartially_functional_type
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.40/0.60 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
% 0.40/0.60 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)))))
% 0.40/0.60 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))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0x1595ef0>, <kernel.DependentProduct object at 0x1596680>) of role type named mfunctional_type
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.40/0.60 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
% 0.40/0.61 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)))))))))
% 0.40/0.61 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))))))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x1595b00>, <kernel.DependentProduct object at 0x1596440>) of role type named mweakly_dense_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.40/0.61 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
% 0.40/0.61 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)))))))))
% 0.40/0.61 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))))))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x1596440>, <kernel.DependentProduct object at 0x15967a0>) of role type named mweakly_connected_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.40/0.61 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
% 0.40/0.61 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))))))
% 0.40/0.61 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)))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x15967a0>, <kernel.DependentProduct object at 0x1596200>) of role type named mweakly_directed_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.40/0.61 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
% 0.40/0.61 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))))))))
% 0.40/0.61 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)))))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x1596ef0>, <kernel.DependentProduct object at 0x1596170>) of role type named mvalid_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mvalid:((fofType->Prop)->Prop)
% 0.40/0.61 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.40/0.61 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.40/0.61 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x15967a0>, <kernel.DependentProduct object at 0x2ab72e87a200>) of role type named minvalid_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring minvalid:((fofType->Prop)->Prop)
% 0.40/0.61 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.40/0.61 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.40/0.61 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x1596dd0>, <kernel.DependentProduct object at 0x2ab72e87a5f0>) of role type named msatisfiable_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.40/0.61 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.40/0.61 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.40/0.61 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x1596290>, <kernel.DependentProduct object at 0x2ab72e87a5f0>) of role type named mcountersatisfiable_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.40/0.61 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.40/0.61 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.40/0.61 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.40/0.61 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^2.ax, trying next directory
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x159a200>, <kernel.DependentProduct object at 0x1590c68>) of role type named rel_d_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring rel_d:(fofType->(fofType->Prop))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x159a200>, <kernel.DependentProduct object at 0x2ab73634d4d0>) of role type named mbox_d_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mbox_d:((fofType->Prop)->(fofType->Prop))
% 0.40/0.61 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_d) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))) of role definition named mbox_d
% 0.40/0.61 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_d) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))))
% 0.40/0.61 Defined: mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x2ab73632b830>, <kernel.DependentProduct object at 0x2ab73634d7a0>) of role type named mdia_d_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mdia_d:((fofType->Prop)->(fofType->Prop))
% 0.40/0.61 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))) of role definition named mdia_d
% 0.40/0.61 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))))
% 0.40/0.61 Defined: mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))
% 0.40/0.61 FOF formula (mserial rel_d) of role axiom named a1
% 0.40/0.61 A new axiom: (mserial rel_d)
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x2ab73634ac20>, <kernel.DependentProduct object at 0x1573950>) of role type named p_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring p:(fofType->Prop)
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x2ab73634ae18>, <kernel.DependentProduct object at 0x1573908>) of role type named q_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring q:(fofType->Prop)
% 0.40/0.61 FOF formula (mvalid (mnot (mbox_d ((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q))))))) of role conjecture named prove
% 0.40/0.61 Conjecture to prove = (mvalid (mnot (mbox_d ((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q))))))):Prop
% 0.40/0.61 Parameter mu_DUMMY:mu.
% 0.40/0.61 Parameter fofType_DUMMY:fofType.
% 0.40/0.61 We need to prove ['(mvalid (mnot (mbox_d ((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))))))']
% 0.40/0.61 Parameter mu:Type.
% 0.40/0.61 Parameter fofType:Type.
% 0.40/0.61 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.40/0.61 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.40/0.61 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.40/0.61 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.40/0.61 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.40/0.61 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.40/0.61 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.40/0.61 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.40/0.61 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.40/0.61 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.40/0.61 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.40/0.61 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.40/0.61 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)).
% 0.40/0.61 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.40/0.61 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.40/0.61 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))).
% 0.40/0.61 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.40/0.61 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.40/0.61 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.40/0.61 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.40/0.61 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).
% 0.40/0.61 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).
% 0.40/0.61 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).
% 0.40/0.61 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).
% 0.40/0.61 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).
% 0.40/0.61 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).
% 26.76/26.96 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).
% 26.76/26.96 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 26.76/26.96 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 26.76/26.96 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 26.76/26.96 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 26.76/26.96 Parameter rel_d:(fofType->(fofType->Prop)).
% 26.76/26.96 Definition mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 26.76/26.96 Definition mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 26.76/26.96 Axiom a1:(mserial rel_d).
% 26.76/26.96 Parameter p:(fofType->Prop).
% 26.76/26.96 Parameter q:(fofType->Prop).
% 26.76/26.96 Trying to prove (mvalid (mnot (mbox_d ((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))))))
% 26.76/26.96 Found x10:False
% 26.76/26.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 26.76/26.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 26.76/26.96 Found x10:False
% 26.76/26.96 Found (fun (x3:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V0))=> x10) as proof of False
% 26.76/26.96 Found (fun (x3:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V0))=> x10) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V0)->False)
% 26.76/26.96 Found x10:False
% 26.76/26.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 26.76/26.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 26.76/26.96 Found x10:False
% 26.76/26.96 Found (fun (x3:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V0))=> x10) as proof of False
% 26.76/26.96 Found (fun (x3:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V0))=> x10) as proof of (((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V0)->False)
% 26.76/26.96 Found x10:False
% 26.76/26.96 Found (fun (x3:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V0))=> x10) as proof of False
% 26.76/26.96 Found (fun (x3:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V0))=> x10) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V0)->False)
% 26.76/26.96 Found x10:False
% 26.76/26.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 26.76/26.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 26.76/26.96 Found x10:False
% 26.76/26.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 26.76/26.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 26.76/26.96 Found x10:False
% 26.76/26.96 Found (fun (x3:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V0))=> x10) as proof of False
% 26.76/26.96 Found (fun (x3:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V0))=> x10) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V0)->False)
% 26.76/26.96 Found x10:False
% 26.76/26.96 Found (fun (x3:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V0))=> x10) as proof of False
% 26.76/26.96 Found (fun (x3:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V0))=> x10) as proof of (((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V0)->False)
% 26.76/26.96 Found x10:False
% 26.76/26.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 26.76/26.96 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 26.76/26.96 Found False_rect00:=(False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))):((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 31.06/31.27 Found (False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 31.06/31.27 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 31.06/31.27 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 31.06/31.27 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of (((mor (mnot (mbox_d ((mand p) q)))) (mnot (mbox_d ((mimplies p) (mnot q))))) V)
% 31.06/31.27 Found x30:False
% 31.06/31.27 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 31.06/31.27 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 31.06/31.27 Found x30:False
% 31.06/31.27 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 31.06/31.27 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 31.06/31.27 Found False_rect00:=(False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))):((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 31.06/31.27 Found (False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 31.06/31.27 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 31.06/31.27 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 31.06/31.27 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of (((mor (mnot (mbox_d ((mand p) q)))) (mnot (mbox_d ((mimplies p) (mnot q))))) V)
% 31.06/31.27 Found False_rect00:=(False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))):((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 31.06/31.27 Found (False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 31.06/31.27 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 31.06/31.27 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 31.06/31.27 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))) as proof of (((mor (mnot (mbox_d ((mand p) q)))) (mnot (mbox_d ((mimplies p) (mnot q))))) V0)
% 31.06/31.27 Found x30:False
% 31.06/31.27 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 31.06/31.27 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 31.06/31.27 Found x30:False
% 31.06/31.27 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 31.06/31.27 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 31.06/31.27 Found x30:False
% 31.06/31.27 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 35.56/35.77 Found x30:False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 35.56/35.77 Found x30:False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 35.56/35.77 Found x30:False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 35.56/35.77 Found x10:False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of ((mnot (mbox_d ((mand p) q))) V0)
% 35.56/35.77 Found x10:False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)
% 35.56/35.77 Found x30:False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 35.56/35.77 Found (or_introl00 (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 35.56/35.77 Found ((or_introl0 ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 35.56/35.77 Found (((or_introl ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 35.56/35.77 Found (((or_introl ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 35.56/35.77 Found x30:False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 35.56/35.77 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 35.56/35.77 Found (or_introl00 (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 35.56/35.77 Found ((or_introl0 ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 35.56/35.77 Found (((or_introl ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 35.56/35.77 Found (((or_introl ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 35.56/35.77 Found False_rect00:=(False_rect0 ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))):((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 35.56/35.77 Found (False_rect0 ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 35.56/35.77 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 35.56/35.77 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 36.09/36.29 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of (((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 36.09/36.29 Found x30:False
% 36.09/36.29 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 36.09/36.29 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 36.09/36.29 Found x30:False
% 36.09/36.29 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x30) as proof of False
% 36.09/36.29 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x30) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->False)
% 36.09/36.29 Found x30:False
% 36.09/36.29 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 36.09/36.29 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 36.09/36.29 Found (or_intror00 (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 36.09/36.29 Found ((or_intror0 ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 36.09/36.29 Found (((or_intror ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 36.09/36.29 Found (((or_intror ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 36.09/36.29 Found x10:False
% 36.09/36.29 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 36.09/36.29 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 36.09/36.29 Found x10:False
% 36.09/36.29 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x10) as proof of False
% 36.09/36.29 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x10) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->False)
% 36.09/36.29 Found x10:False
% 36.09/36.29 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of False
% 36.09/36.29 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of ((mnot (mbox_d ((mand p) q))) V0)
% 36.09/36.29 Found (or_introl00 (fun (x4:((mbox_d ((mand p) q)) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 36.09/36.29 Found ((or_introl0 ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) (fun (x4:((mbox_d ((mand p) q)) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 36.09/36.29 Found (((or_introl ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) (fun (x4:((mbox_d ((mand p) q)) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 36.09/36.29 Found (((or_introl ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) (fun (x4:((mbox_d ((mand p) q)) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 36.09/36.29 Found x10:False
% 36.09/36.29 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x10) as proof of False
% 36.09/36.29 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x10) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->False)
% 36.09/36.29 Found x30:False
% 36.09/36.29 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 36.09/36.29 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 36.09/36.29 Found x30:False
% 36.09/36.29 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x30) as proof of False
% 40.48/40.73 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x30) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->False)
% 40.48/40.73 Found x10:False
% 40.48/40.73 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 40.48/40.73 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 40.48/40.73 Found x30:False
% 40.48/40.73 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 40.48/40.73 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 40.48/40.73 Found x30:False
% 40.48/40.73 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 40.48/40.73 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 40.48/40.73 Found False_rect00:=(False_rect0 ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))):((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 40.48/40.73 Found (False_rect0 ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 40.48/40.73 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 40.48/40.73 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 40.48/40.73 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of (((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 40.48/40.73 Found False_rect00:=(False_rect0 ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))):((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 40.48/40.73 Found (False_rect0 ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 40.48/40.73 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 40.48/40.73 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 40.48/40.73 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))) as proof of (((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)
% 40.48/40.73 Found x30:False
% 40.48/40.73 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 40.48/40.73 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 40.48/40.73 Found x30:False
% 40.48/40.73 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 40.48/40.73 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 40.48/40.73 Found x30:False
% 40.48/40.73 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 40.48/40.73 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 49.88/50.11 Found x30:False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 49.88/50.11 Found x30:False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 49.88/50.11 Found x30:False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 49.88/50.11 Found x30:False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 49.88/50.11 Found x30:False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 49.88/50.11 Found x10:False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10) as proof of False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)
% 49.88/50.11 Found x10:False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10) as proof of False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)
% 49.88/50.11 Found x30:False
% 49.88/50.11 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 49.88/50.11 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 49.88/50.11 Found x30:False
% 49.88/50.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 49.88/50.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 49.88/50.11 Found x10:False
% 49.88/50.11 Found (fun (x3:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V0))=> x10) as proof of False
% 49.88/50.11 Found (fun (x3:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V0))=> x10) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V0)->False)
% 49.88/50.11 Found x10:False
% 49.88/50.11 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 49.88/50.11 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 49.88/50.11 Found x30:False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 49.88/50.11 Found (or_intror00 (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 49.88/50.11 Found ((or_intror0 ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 49.88/50.11 Found (((or_intror ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 49.88/50.11 Found (((or_intror ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 49.88/50.11 Found x30:False
% 49.88/50.11 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 51.28/51.50 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 51.28/51.50 Found (or_introl00 (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 51.28/51.50 Found ((or_introl0 ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 51.28/51.50 Found (((or_introl ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 51.28/51.50 Found (((or_introl ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 51.28/51.50 Found x30:False
% 51.28/51.50 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x30) as proof of False
% 51.28/51.50 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x30) as proof of (((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->False)
% 51.28/51.50 Found x30:False
% 51.28/51.50 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 51.28/51.50 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 51.28/51.50 Found x10:False
% 51.28/51.50 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 51.28/51.50 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 51.28/51.50 Found x10:False
% 51.28/51.50 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x10) as proof of False
% 51.28/51.50 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x10) as proof of (((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->False)
% 51.28/51.50 Found x30:False
% 51.28/51.50 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 51.28/51.50 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 51.28/51.50 Found x30:False
% 51.28/51.50 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x30) as proof of False
% 51.28/51.50 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x30) as proof of (((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->False)
% 51.28/51.50 Found x10:False
% 51.28/51.50 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 51.28/51.50 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 51.28/51.50 Found x10:False
% 51.28/51.50 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x10) as proof of False
% 51.28/51.50 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x10) as proof of (((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->False)
% 51.28/51.50 Found x30:False
% 51.28/51.50 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 51.28/51.50 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 51.28/51.50 Found x30:False
% 51.28/51.50 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 51.28/51.50 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 53.36/53.57 Found x30:False
% 53.36/53.57 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 53.36/53.57 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 53.36/53.57 Found x30:False
% 53.36/53.57 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 53.36/53.57 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 53.36/53.57 Found x30:False
% 53.36/53.57 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 53.36/53.57 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 53.36/53.57 Found (or_introl00 (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 53.36/53.57 Found ((or_introl0 ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 53.36/53.57 Found (((or_introl ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 53.36/53.57 Found (((or_introl ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 53.36/53.57 Found x10:False
% 53.36/53.57 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10) as proof of False
% 53.36/53.57 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)
% 53.36/53.57 Found (or_introl00 (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 53.36/53.57 Found ((or_introl0 ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 53.36/53.57 Found (((or_introl ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 53.36/53.57 Found (((or_introl ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 53.36/53.57 Found x30:False
% 53.36/53.57 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 53.36/53.57 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 53.36/53.57 Found (or_introl00 (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 53.36/53.57 Found ((or_introl0 ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 53.36/53.57 Found (((or_introl ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 53.36/53.57 Found (((or_introl ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 66.35/66.56 Found x30:False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 66.35/66.56 Found x30:False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 66.35/66.56 Found x10:False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of ((mnot (mbox_d ((mand p) q))) V0)
% 66.35/66.56 Found x10:False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)
% 66.35/66.56 Found x30:False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 66.35/66.56 Found (or_intror00 (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 66.35/66.56 Found ((or_intror0 ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 66.35/66.56 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 66.35/66.56 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 66.35/66.56 Found x30:False
% 66.35/66.56 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 66.35/66.56 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 66.35/66.56 Found x30:False
% 66.35/66.56 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 66.35/66.56 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 66.35/66.56 Found x30:False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 66.35/66.56 Found (or_intror00 (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 66.35/66.56 Found ((or_intror0 ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 66.35/66.56 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 66.35/66.56 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 66.35/66.56 Found x30:False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 66.35/66.56 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 66.35/66.56 Found (or_intror00 (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 66.35/66.56 Found ((or_intror0 ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 66.35/66.56 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 79.27/79.55 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 79.27/79.55 Found x10:False
% 79.27/79.55 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of False
% 79.27/79.55 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)
% 79.27/79.55 Found (or_introl00 (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) ((mnot (mbox_d ((mand p) q))) V0))
% 79.27/79.55 Found ((or_introl0 ((mnot (mbox_d ((mand p) q))) V0)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) ((mnot (mbox_d ((mand p) q))) V0))
% 79.27/79.55 Found (((or_introl ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) ((mnot (mbox_d ((mand p) q))) V0)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) ((mnot (mbox_d ((mand p) q))) V0))
% 79.27/79.55 Found (((or_introl ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) ((mnot (mbox_d ((mand p) q))) V0)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) ((mnot (mbox_d ((mand p) q))) V0))
% 79.27/79.55 Found x30:False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 79.27/79.55 Found x30:False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 79.27/79.55 Found x30:False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 79.27/79.55 Found x30:False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 79.27/79.55 Found x30:False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 79.27/79.55 Found x30:False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 79.27/79.55 Found x30:False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 79.27/79.55 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 79.27/79.55 Found (or_intror00 (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 79.27/79.55 Found ((or_intror0 ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 79.27/79.55 Found (((or_intror ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 79.27/79.55 Found (((or_intror ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 90.34/90.64 Found x30:False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 90.34/90.64 Found x30:False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 90.34/90.64 Found x10:False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10) as proof of False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)
% 90.34/90.64 Found x10:False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10) as proof of False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)
% 90.34/90.64 Found x30:False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 90.34/90.64 Found (or_introl00 (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 90.34/90.64 Found ((or_introl0 ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 90.34/90.64 Found (((or_introl ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 90.34/90.64 Found (((or_introl ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 90.34/90.64 Found x30:False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 90.34/90.64 Found (or_intror00 (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 90.34/90.64 Found ((or_intror0 ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 90.34/90.64 Found (((or_intror ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 90.34/90.64 Found (((or_intror ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 90.34/90.64 Found x30:False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 90.34/90.64 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 92.74/93.00 Found (or_intror00 (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 92.74/93.00 Found ((or_intror0 ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 92.74/93.00 Found (((or_intror ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 92.74/93.00 Found (((or_intror ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V))
% 92.74/93.00 Found x10:False
% 92.74/93.00 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10) as proof of False
% 92.74/93.00 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)
% 92.74/93.00 Found (or_intror00 (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0))
% 92.74/93.00 Found ((or_intror0 ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0))
% 92.74/93.00 Found (((or_intror ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0))
% 92.74/93.00 Found (((or_intror ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10)) as proof of ((or ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)) ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0))
% 92.74/93.00 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 92.74/93.00 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 92.74/93.00 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 92.74/93.00 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 92.74/93.00 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->((rel_d W) V))
% 92.74/93.00 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 92.74/93.00 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 92.74/93.00 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 92.74/93.00 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 92.74/93.00 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 92.74/93.00 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 92.74/93.00 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 97.12/97.37 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 97.12/97.37 Found False_rect00:=(False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))):((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.12/97.37 Found (False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.12/97.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.12/97.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.12/97.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of (((mor (mnot (mbox_d ((mand p) q)))) (mnot (mbox_d ((mimplies p) (mnot q))))) V)
% 97.12/97.37 Found False_rect00:=(False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))):((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.12/97.37 Found (False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.12/97.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.12/97.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.12/97.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of (((mor (mnot (mbox_d ((mand p) q)))) (mnot (mbox_d ((mimplies p) (mnot q))))) V)
% 97.12/97.37 Found x30:False
% 97.12/97.37 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 97.12/97.37 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 97.12/97.37 Found x30:False
% 97.12/97.37 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 97.12/97.37 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 97.12/97.37 Found x30:False
% 97.12/97.37 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 97.12/97.37 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 97.12/97.37 Found x30:False
% 97.12/97.37 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 97.12/97.37 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 97.12/97.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 97.12/97.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 97.12/97.37 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 97.12/97.37 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 97.12/97.37 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->((rel_d W) V0))
% 97.49/97.75 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 97.49/97.75 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 97.49/97.75 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 97.49/97.75 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 97.49/97.75 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 97.49/97.75 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 97.49/97.75 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 97.49/97.75 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 97.49/97.75 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 97.49/97.75 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 97.49/97.75 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 97.49/97.75 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 97.49/97.75 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->((rel_d W) V))
% 97.49/97.75 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 97.49/97.75 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 97.49/97.75 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 97.49/97.75 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 97.49/97.75 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 97.49/97.75 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 97.49/97.75 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 97.49/97.75 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 97.49/97.75 Found False_rect00:=(False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))):((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.49/97.75 Found (False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.54/97.86 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.54/97.86 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.54/97.86 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of (((mor (mnot (mbox_d ((mand p) q)))) (mnot (mbox_d ((mimplies p) (mnot q))))) V)
% 97.54/97.86 Found False_rect00:=(False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))):((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 97.54/97.86 Found (False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 97.54/97.86 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 97.54/97.86 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 97.54/97.86 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))) as proof of (((mor (mnot (mbox_d ((mand p) q)))) (mnot (mbox_d ((mimplies p) (mnot q))))) V0)
% 97.54/97.86 Found False_rect00:=(False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))):((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.54/97.86 Found (False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.54/97.86 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.54/97.86 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 97.54/97.86 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))) as proof of (((mor (mnot (mbox_d ((mand p) q)))) (mnot (mbox_d ((mimplies p) (mnot q))))) V)
% 97.54/97.86 Found False_rect00:=(False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))):((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 97.54/97.86 Found (False_rect0 ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 97.54/97.86 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 97.54/97.86 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 97.54/97.86 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))) as proof of (((mor (mnot (mbox_d ((mand p) q)))) (mnot (mbox_d ((mimplies p) (mnot q))))) V0)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of (((mbox_d ((mimplies p) (mnot q))) V)->False)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of (((mbox_d ((mand p) q)) V)->False)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of (((mbox_d ((mand p) q)) V)->False)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of (((mbox_d ((mimplies p) (mnot q))) V)->False)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of (((mbox_d ((mimplies p) (mnot q))) V)->False)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of (((mbox_d ((mand p) q)) V)->False)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 113.05/113.31 Found x10:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)
% 113.05/113.31 Found x10:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of ((mnot (mbox_d ((mand p) q))) V0)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 113.05/113.31 Found x30:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 113.05/113.31 Found x10:False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of False
% 113.05/113.31 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)
% 126.53/126.84 Found x10:False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of ((mnot (mbox_d ((mand p) q))) V0)
% 126.53/126.84 Found x30:False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of (((mbox_d ((mimplies p) (mnot q))) V)->False)
% 126.53/126.84 Found x30:False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of (((mbox_d ((mand p) q)) V)->False)
% 126.53/126.84 Found x10:False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of (((mbox_d ((mand p) q)) V0)->False)
% 126.53/126.84 Found x10:False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of (((mbox_d ((mimplies p) (mnot q))) V0)->False)
% 126.53/126.84 Found x30:False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 126.53/126.84 Found (or_intror00 (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 126.53/126.84 Found ((or_intror0 ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 126.53/126.84 Found (((or_intror ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 126.53/126.84 Found (((or_intror ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 126.53/126.84 Found x30:False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 126.53/126.84 Found (or_introl00 (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 126.53/126.84 Found ((or_introl0 ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 126.53/126.84 Found (((or_introl ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 126.53/126.84 Found (((or_introl ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 126.53/126.84 Found x30:False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 126.53/126.84 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 126.53/126.84 Found (or_introl00 (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 126.53/126.84 Found ((or_introl0 ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 126.53/126.84 Found (((or_introl ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 126.53/126.84 Found (((or_introl ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 133.90/134.17 Found x30:False
% 133.90/134.17 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 133.90/134.17 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 133.90/134.17 Found (or_intror00 (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 133.90/134.17 Found ((or_intror0 ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 133.90/134.17 Found (((or_intror ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 133.90/134.17 Found (((or_intror ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 133.90/134.17 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 133.90/134.17 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 133.90/134.17 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 133.90/134.17 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 133.90/134.17 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->((rel_d W) V))
% 133.90/134.17 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 133.90/134.17 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 133.90/134.17 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 133.90/134.17 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 133.90/134.17 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 133.90/134.17 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 133.90/134.17 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 133.90/134.17 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 133.90/134.17 Found x30:False
% 133.90/134.17 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 133.90/134.17 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 133.90/134.17 Found (or_introl00 (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 133.90/134.17 Found ((or_introl0 ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 134.48/134.74 Found (((or_introl ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 134.48/134.74 Found (((or_introl ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 134.48/134.74 Found x10:False
% 134.48/134.74 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of False
% 134.48/134.74 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)
% 134.48/134.74 Found (or_intror00 (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 134.48/134.74 Found ((or_intror0 ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 134.48/134.74 Found (((or_intror ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 134.48/134.74 Found (((or_intror ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 134.48/134.74 Found x30:False
% 134.48/134.74 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 134.48/134.74 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 134.48/134.74 Found (or_intror00 (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 134.48/134.74 Found ((or_intror0 ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 134.48/134.74 Found (((or_intror ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 134.48/134.74 Found (((or_intror ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V))
% 134.48/134.74 Found x10:False
% 134.48/134.74 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of False
% 134.48/134.74 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)
% 134.48/134.74 Found (or_intror00 (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 134.48/134.74 Found ((or_intror0 ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 134.48/134.74 Found (((or_intror ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 134.48/134.74 Found (((or_intror ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10)) as proof of ((or ((mnot (mbox_d ((mand p) q))) V0)) ((mnot (mbox_d ((mimplies p) (mnot q)))) V0))
% 134.48/134.74 Found False_rect00:=(False_rect0 ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))):((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 135.26/135.55 Found (False_rect0 ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 135.26/135.55 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 135.26/135.55 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 135.26/135.55 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of (((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 135.26/135.55 Found x30:False
% 135.26/135.55 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 135.26/135.55 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 135.26/135.55 Found x30:False
% 135.26/135.55 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x30) as proof of False
% 135.26/135.55 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x30) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->False)
% 135.26/135.55 Found x10:False
% 135.26/135.55 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 135.26/135.55 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 135.26/135.55 Found x10:False
% 135.26/135.55 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x10) as proof of False
% 135.26/135.55 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x10) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->False)
% 135.26/135.55 Found x30:False
% 135.26/135.55 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 135.26/135.55 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 135.26/135.55 Found x30:False
% 135.26/135.55 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x30) as proof of False
% 135.26/135.55 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x30) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->False)
% 135.26/135.55 Found x10:False
% 135.26/135.55 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 135.26/135.55 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 135.26/135.55 Found x10:False
% 135.26/135.55 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x10) as proof of False
% 135.26/135.55 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x10) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->False)
% 135.26/135.55 Found x30:False
% 135.26/135.55 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 135.26/135.55 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 135.26/135.55 Found x10:False
% 135.26/135.55 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 135.26/135.55 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 135.26/135.55 Found x30:False
% 135.26/135.55 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x30) as proof of False
% 135.26/135.55 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x30) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->False)
% 135.26/135.55 Found x10:False
% 135.26/135.55 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x10) as proof of False
% 135.26/135.55 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x10) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->False)
% 135.26/135.55 Found x30:False
% 135.99/136.27 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x30) as proof of False
% 135.99/136.27 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x30) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->False)
% 135.99/136.27 Found x10:False
% 135.99/136.27 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x10) as proof of False
% 135.99/136.27 Found (fun (x5:(((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1))=> x10) as proof of ((((mand (mbox_d ((mand p) q))) (mbox_d ((mimplies p) (mnot q)))) V1)->False)
% 135.99/136.27 Found x10:False
% 135.99/136.27 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 135.99/136.27 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 135.99/136.27 Found x30:False
% 135.99/136.27 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 135.99/136.27 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 135.99/136.27 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 135.99/136.27 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 135.99/136.27 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 135.99/136.27 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 135.99/136.27 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->((rel_d W) V0))
% 135.99/136.27 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 135.99/136.27 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 135.99/136.27 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 135.99/136.27 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 135.99/136.27 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 135.99/136.27 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 135.99/136.27 Found (((or_ind2 ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 135.99/136.27 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)) P) x5) x6) x4)) ((rel_d W) V0)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 135.99/136.27 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 135.99/136.27 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 135.99/136.27 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 135.99/136.27 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 135.99/136.27 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of (((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->((rel_d W) V))
% 141.86/142.15 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 141.86/142.15 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 141.86/142.15 Found ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 141.86/142.15 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 141.86/142.15 Found (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 141.86/142.15 Found ((or_ind20 (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 141.86/142.15 Found (((or_ind2 ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 141.86/142.15 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)) P) x5) x6) x4)) ((rel_d W) V)) (fun (x5:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 141.86/142.15 Found x30:False
% 141.86/142.15 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 141.86/142.15 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 141.86/142.15 Found x30:False
% 141.86/142.15 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 141.86/142.15 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 141.86/142.15 Found False_rect00:=(False_rect0 ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))):((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 141.86/142.15 Found (False_rect0 ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 141.86/142.15 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 141.86/142.15 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 141.86/142.15 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))) as proof of (((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 141.86/142.15 Found False_rect00:=(False_rect0 ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))):((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 166.07/166.34 Found (False_rect0 ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 166.07/166.34 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 166.07/166.34 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 166.07/166.34 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))) as proof of (((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V)->False)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((((mbox rel_d) ((mimplied (mnot q)) p)) V)->False)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 166.07/166.34 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 166.07/166.34 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 166.07/166.34 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 166.07/166.34 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 166.07/166.34 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of (((mbox_d ((mand p) q)) V)->False)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 166.07/166.34 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of (((mbox_d ((mimplies p) (mnot q))) V)->False)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((((mbox rel_d) ((mimplied (mnot q)) p)) V)->False)
% 166.07/166.34 Found x30:False
% 166.07/166.34 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V)->False)
% 197.59/197.87 Found x30:False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((((mbox rel_d) ((mimplied (mnot q)) p)) V)->False)
% 197.59/197.87 Found x30:False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V)->False)
% 197.59/197.87 Found x30:False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 197.59/197.87 Found x30:False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 197.59/197.87 Found x10:False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10) as proof of False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)
% 197.59/197.87 Found x10:False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10) as proof of False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)
% 197.59/197.87 Found x30:False
% 197.59/197.87 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 197.59/197.87 Found x30:False
% 197.59/197.87 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 197.59/197.87 Found x30:False
% 197.59/197.87 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 197.59/197.87 Found x30:False
% 197.59/197.87 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 197.59/197.87 Found x30:False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((((mbox rel_d) ((mimplied (mnot q)) p)) V)->False)
% 197.59/197.87 Found x30:False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V)->False)
% 197.59/197.87 Found x10:False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10) as proof of False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10) as proof of ((((mbox rel_d) ((mimplied (mnot q)) p)) V0)->False)
% 197.59/197.87 Found x10:False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10) as proof of False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0))=> x10) as proof of ((((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V0)->False)
% 197.59/197.87 Found x30:False
% 197.59/197.87 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of (((mbox_d ((mand p) q)) V)->False)
% 197.59/197.87 Found x30:False
% 197.59/197.87 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of (((mbox_d ((mimplies p) (mnot q))) V)->False)
% 197.59/197.87 Found x30:False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 197.59/197.87 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 197.59/197.87 Found (or_intror00 (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 207.61/207.89 Found ((or_intror0 ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 207.61/207.89 Found (((or_intror ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 207.61/207.89 Found (((or_intror ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 207.61/207.89 Found x30:False
% 207.61/207.89 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 207.61/207.89 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 207.61/207.89 Found (or_intror00 (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 207.61/207.89 Found ((or_intror0 ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 207.61/207.89 Found (((or_intror ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 207.61/207.89 Found (((or_intror ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 207.61/207.89 Found x30:False
% 207.61/207.89 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x30) as proof of False
% 207.61/207.89 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x30) as proof of (((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->False)
% 207.61/207.89 Found x30:False
% 207.61/207.89 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 207.61/207.89 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 207.61/207.89 Found x30:False
% 207.61/207.89 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 207.61/207.89 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 207.61/207.89 Found x30:False
% 207.61/207.89 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 207.61/207.89 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 207.61/207.89 Found x10:False
% 207.61/207.89 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x10) as proof of False
% 207.61/207.89 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x10) as proof of (((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->False)
% 207.61/207.89 Found x10:False
% 207.61/207.89 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 207.61/207.89 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 207.61/207.89 Found x30:False
% 207.61/207.89 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 207.61/207.89 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 216.11/216.41 Found x30:False
% 216.11/216.41 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 216.11/216.41 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 216.11/216.41 Found x10:False
% 216.11/216.41 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x10) as proof of False
% 216.11/216.41 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x10) as proof of (((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->False)
% 216.11/216.41 Found x10:False
% 216.11/216.41 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 216.11/216.41 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 216.11/216.41 Found x30:False
% 216.11/216.41 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x30) as proof of False
% 216.11/216.41 Found (fun (x5:((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1))=> x30) as proof of (((mnot ((mimplied (mnot ((mbox rel_d) ((mimplied (mnot q)) p)))) ((mbox rel_d) (mnot ((mimplied (mnot q)) p))))) V1)->False)
% 216.11/216.41 Found x30:False
% 216.11/216.41 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 216.11/216.41 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 216.11/216.41 Found x30:False
% 216.11/216.41 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 216.11/216.41 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 216.11/216.41 Found x30:False
% 216.11/216.41 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 216.11/216.41 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 216.11/216.41 Found x30:False
% 216.11/216.41 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 216.11/216.41 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 216.11/216.41 Found x30:False
% 216.11/216.41 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 216.11/216.41 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 216.11/216.41 Found x30:False
% 216.11/216.41 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 216.11/216.41 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 216.11/216.41 Found (or_introl00 (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 216.11/216.41 Found ((or_introl0 ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 216.11/216.41 Found (((or_introl ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 216.11/216.41 Found (((or_introl ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)) (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V))
% 216.11/216.41 Found x10:False
% 216.11/216.41 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10) as proof of False
% 216.11/216.41 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)
% 216.11/216.41 Found (or_intror00 (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 216.11/216.41 Found ((or_intror0 ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 227.10/227.37 Found (((or_intror ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 227.10/227.37 Found (((or_intror ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0)) (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V0))=> x10)) as proof of ((or ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V0)) ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V0))
% 227.10/227.37 Found x30:False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of (((mbox_d ((mand p) q)) V)->False)
% 227.10/227.37 Found x30:False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of (((mbox_d ((mimplies p) (mnot q))) V)->False)
% 227.10/227.37 Found x30:False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 227.10/227.37 Found (or_introl00 (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 227.10/227.37 Found ((or_introl0 ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 227.10/227.37 Found (((or_introl ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 227.10/227.37 Found (((or_introl ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 227.10/227.37 Found x30:False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 227.10/227.37 Found (or_intror00 (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 227.10/227.37 Found ((or_intror0 ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 227.10/227.37 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 227.10/227.37 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 227.10/227.37 Found x30:False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of (((mbox_d ((mand p) q)) V)->False)
% 227.10/227.37 Found x30:False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of (((mbox_d ((mimplies p) (mnot q))) V)->False)
% 227.10/227.37 Found x30:False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 227.10/227.37 Found x30:False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 227.10/227.37 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 249.78/250.11 Found x10:False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)
% 249.78/250.11 Found x10:False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of ((mnot (mbox_d ((mand p) q))) V0)
% 249.78/250.11 Found x30:False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 249.78/250.11 Found x30:False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 249.78/250.11 Found x10:False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of ((mnot (mbox_d ((mand p) q))) V0)
% 249.78/250.11 Found x10:False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V0)
% 249.78/250.11 Found x30:False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of (((mbox_d ((mand p) q)) V)->False)
% 249.78/250.11 Found x30:False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of (((mbox_d ((mimplies p) (mnot q))) V)->False)
% 249.78/250.11 Found x10:False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mand p) q)) V0))=> x10) as proof of (((mbox_d ((mand p) q)) V0)->False)
% 249.78/250.11 Found x10:False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of (((mbox_d ((mimplies p) (mnot q))) V0)->False)
% 249.78/250.11 Found x30:False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30) as proof of ((mnot (mbox_d ((mimplies p) (mnot q)))) V)
% 249.78/250.11 Found (or_introl00 (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 249.78/250.11 Found ((or_introl0 ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 249.78/250.11 Found (((or_introl ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 249.78/250.11 Found (((or_introl ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mimplies p) (mnot q))) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 249.78/250.11 Found x30:False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 249.78/250.11 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 249.78/250.11 Found (or_intror00 (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 249.78/250.11 Found ((or_intror0 ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 249.78/250.11 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 249.78/250.11 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 249.78/250.11 Found x30:False
% 249.78/250.11 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 270.72/271.02 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((mnot ((mbox rel_d) ((mimplied (mnot q)) p))) V)
% 270.72/271.02 Found x30:False
% 270.72/271.02 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 270.72/271.02 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((mnot ((mbox rel_d) (mnot ((mimplied (mnot q)) p)))) V)
% 270.72/271.02 Found x30:False
% 270.72/271.02 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 270.72/271.02 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 270.72/271.02 Found (or_intror00 (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 270.72/271.02 Found ((or_intror0 ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 270.72/271.02 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 270.72/271.02 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 270.72/271.02 Found x30:False
% 270.72/271.02 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 270.72/271.02 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 270.72/271.02 Found (or_intror00 (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 270.72/271.02 Found ((or_intror0 ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 270.72/271.02 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 270.72/271.02 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 270.72/271.02 Found x30:False
% 270.72/271.02 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of False
% 270.72/271.02 Found (fun (x4:(((mbox rel_d) ((mimplied (mnot q)) p)) V))=> x30) as proof of ((((mbox rel_d) ((mimplied (mnot q)) p)) V)->False)
% 270.72/271.02 Found x30:False
% 270.72/271.02 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of False
% 270.72/271.02 Found (fun (x4:(((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V))=> x30) as proof of ((((mbox rel_d) (mnot ((mimplied (mnot q)) p))) V)->False)
% 270.72/271.02 Found x30:False
% 270.72/271.02 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of False
% 270.72/271.02 Found (fun (x4:((mbox_d ((mand p) q)) V))=> x30) as proof of ((mnot (mbox_d ((mand p) q))) V)
% 270.72/271.02 Found (or_intror00 (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 270.72/271.02 Found ((or_intror0 ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 270.72/271.02 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 270.72/271.02 Found (((or_intror ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V)) (fun (x4:((mbox_d ((mand p) q)) V))=> x30)) as proof of ((or ((mnot (mbox_d ((mimplies p) (mnot q)))) V)) ((mnot (mbox_d ((mand p) q))) V))
% 270.72/271.02 Found x10:False
% 270.72/271.02 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as proof of False
% 270.72/271.02 Found (fun (x4:((mbox_d ((mimplies p) (mnot q))) V0))=> x10) as
%------------------------------------------------------------------------------