TSTP Solution File: SYO453^2 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO453^2 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 00:51:31 EDT 2022
% Result : Timeout 289.29s 289.57s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO453^2 : TPTP v7.5.0. Released v4.0.0.
% 0.06/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n010.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % RAMPerCPU : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Mar 12 19:19:21 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.38/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.38/0.62 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x1969f80>, <kernel.Type object at 0x1969128>) of role type named mu_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mu:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x1969998>, <kernel.DependentProduct object at 0x2b885b561710>) of role type named meq_ind_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.38/0.62 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.38/0.62 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x1949d88>, <kernel.DependentProduct object at 0x1966fc8>) of role type named meq_prop_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.38/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.38/0.62 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2b8853a66170>, <kernel.DependentProduct object at 0x19691b8>) of role type named mnot_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.38/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.38/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.38/0.62 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x1966e18>, <kernel.DependentProduct object at 0x1969f80>) of role type named mor_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.38/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.38/0.62 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x1966e18>, <kernel.DependentProduct object at 0x1969998>) of role type named mand_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.38/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.38/0.62 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x1969f80>, <kernel.DependentProduct object at 0x1969998>) of role type named mimplies_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.38/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.38/0.62 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x19694d0>, <kernel.DependentProduct object at 0x196b050>) of role type named mimplied_type
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.63 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
% 0.38/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.38/0.63 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x19694d0>, <kernel.DependentProduct object at 0x196b7a0>) of role type named mequiv_type
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.63 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
% 0.38/0.63 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))))
% 0.38/0.63 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x19692d8>, <kernel.DependentProduct object at 0x196b7e8>) of role type named mxor_type
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.63 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
% 0.38/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.38/0.63 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x196b440>, <kernel.DependentProduct object at 0x196b560>) of role type named mforall_ind_type
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.38/0.63 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
% 0.38/0.63 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.38/0.63 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x196b560>, <kernel.DependentProduct object at 0x196b950>) of role type named mforall_prop_type
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.38/0.63 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
% 0.38/0.63 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))))
% 0.38/0.63 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x196b950>, <kernel.DependentProduct object at 0x196bc20>) of role type named mexists_ind_type
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.38/0.63 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
% 0.38/0.63 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)))))))
% 0.47/0.64 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x196bc20>, <kernel.DependentProduct object at 0x196b5f0>) of role type named mexists_prop_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.47/0.64 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.47/0.64 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.47/0.64 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x196ba70>, <kernel.DependentProduct object at 0x196be60>) of role type named mtrue_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mtrue:(fofType->Prop)
% 0.47/0.64 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.47/0.64 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.47/0.64 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x196b4d0>, <kernel.DependentProduct object at 0x196b440>) of role type named mfalse_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mfalse:(fofType->Prop)
% 0.47/0.64 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.47/0.64 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.47/0.64 Defined: mfalse:=(mnot mtrue)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x196b9e0>, <kernel.DependentProduct object at 0x196b4d0>) of role type named mbox_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.64 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
% 0.47/0.64 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)))))
% 0.47/0.64 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x196ba70>, <kernel.DependentProduct object at 0x196ff80>) of role type named mdia_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.64 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
% 0.47/0.64 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)))))
% 0.47/0.64 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x196b440>, <kernel.DependentProduct object at 0x196fef0>) of role type named mreflexive_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.47/0.64 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x196b9e0>, <kernel.DependentProduct object at 0x196fd40>) of role type named msymmetric_type
% 0.47/0.64 Using role type
% 0.47/0.65 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.47/0.65 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x196fd40>, <kernel.DependentProduct object at 0x196f440>) of role type named mserial_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.47/0.65 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x196f440>, <kernel.DependentProduct object at 0x196f3b0>) of role type named mtransitive_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.47/0.65 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x196f3b0>, <kernel.DependentProduct object at 0x196f200>) of role type named meuclidean_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.47/0.65 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x196f200>, <kernel.DependentProduct object at 0x196ff38>) of role type named mpartially_functional_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.47/0.65 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x196ff38>, <kernel.DependentProduct object at 0x196f098>) of role type named mfunctional_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.47/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.47/0.66 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x196f098>, <kernel.DependentProduct object at 0x196f488>) of role type named mweakly_dense_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.47/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.47/0.66 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x196f200>, <kernel.DependentProduct object at 0x196f488>) of role type named mweakly_connected_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.47/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.47/0.66 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x196fd40>, <kernel.DependentProduct object at 0x196f488>) of role type named mweakly_directed_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.47/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.47/0.66 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x196f2d8>, <kernel.DependentProduct object at 0x1adc098>) of role type named mvalid_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mvalid:((fofType->Prop)->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.47/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.47/0.66 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x196f200>, <kernel.DependentProduct object at 0x1adc3b0>) of role type named minvalid_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minvalid:((fofType->Prop)->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.47/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.47/0.67 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1adc4d0>, <kernel.DependentProduct object at 0x1adc638>) of role type named msatisfiable_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.47/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.47/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.47/0.67 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1adc3b0>, <kernel.DependentProduct object at 0x1adc200>) of role type named mcountersatisfiable_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.47/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.47/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.47/0.67 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.47/0.67 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^2.ax, trying next directory
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1969dd0>, <kernel.DependentProduct object at 0x1969518>) of role type named rel_d_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring rel_d:(fofType->(fofType->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x19697e8>, <kernel.DependentProduct object at 0x1969290>) of role type named mbox_d_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring mbox_d:((fofType->Prop)->(fofType->Prop))
% 0.47/0.67 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
% 0.47/0.67 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)))))
% 0.47/0.67 Defined: mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1969290>, <kernel.DependentProduct object at 0x1969d88>) of role type named mdia_d_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring mdia_d:((fofType->Prop)->(fofType->Prop))
% 0.47/0.67 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))) of role definition named mdia_d
% 0.47/0.67 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))))
% 0.47/0.67 Defined: mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))
% 0.47/0.67 FOF formula (mserial rel_d) of role axiom named a1
% 0.47/0.67 A new axiom: (mserial rel_d)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b8853a66f80>, <kernel.DependentProduct object at 0x19699e0>) of role type named p_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring p:(fofType->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b8853a661b8>, <kernel.DependentProduct object at 0x1969368>) of role type named q_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring q:(fofType->Prop)
% 0.47/0.67 FOF formula (mvalid ((mimplies (mbox_d ((mequiv (mdia_d p)) (mdia_d q)))) (mbox_d ((mequiv p) (mbox_d q))))) of role conjecture named prove
% 0.47/0.67 Conjecture to prove = (mvalid ((mimplies (mbox_d ((mequiv (mdia_d p)) (mdia_d q)))) (mbox_d ((mequiv p) (mbox_d q))))):Prop
% 0.47/0.67 Parameter mu_DUMMY:mu.
% 0.47/0.67 Parameter fofType_DUMMY:fofType.
% 0.47/0.67 We need to prove ['(mvalid ((mimplies (mbox_d ((mequiv (mdia_d p)) (mdia_d q)))) (mbox_d ((mequiv p) (mbox_d q)))))']
% 0.47/0.67 Parameter mu:Type.
% 0.47/0.67 Parameter fofType:Type.
% 0.47/0.67 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.47/0.67 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.67 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.47/0.67 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.47/0.67 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 43.82/44.07 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).
% 43.82/44.07 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 43.82/44.07 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 43.82/44.07 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 43.82/44.07 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 43.82/44.07 Parameter rel_d:(fofType->(fofType->Prop)).
% 43.82/44.07 Definition mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 43.82/44.07 Definition mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 43.82/44.07 Axiom a1:(mserial rel_d).
% 43.82/44.07 Parameter p:(fofType->Prop).
% 43.82/44.07 Parameter q:(fofType->Prop).
% 43.82/44.07 Trying to prove (mvalid ((mimplies (mbox_d ((mequiv (mdia_d p)) (mdia_d q)))) (mbox_d ((mequiv p) (mbox_d q)))))
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 43.82/44.07 Found x10:False
% 43.82/44.07 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 43.82/44.07 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 87.75/87.95 Found x10:False
% 87.75/87.95 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 87.75/87.95 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 87.75/87.95 Found x10:False
% 87.75/87.95 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 87.75/87.95 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 87.75/87.95 Found x10:False
% 87.75/87.95 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 87.75/87.95 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 87.75/87.95 Found x10:False
% 87.75/87.95 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 87.75/87.95 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 87.75/87.95 Found x10:False
% 87.75/87.95 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 87.75/87.95 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 87.75/87.95 Found x10:False
% 87.75/87.95 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 87.75/87.95 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 87.75/87.95 Found x10:False
% 87.75/87.95 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 87.75/87.95 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 87.75/87.95 Found x10:False
% 87.75/87.95 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 87.75/87.95 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 87.75/87.95 Found x10:False
% 87.75/87.95 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 87.75/87.95 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 87.75/87.95 Found x30:False
% 87.75/87.95 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 87.75/87.95 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 87.75/87.95 Found x30:False
% 87.75/87.95 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 87.75/87.95 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 87.75/87.95 Found False_rect00:=(False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))):((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 87.75/87.95 Found (False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 87.75/87.95 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 87.75/87.95 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 87.75/87.95 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of (((mor (mnot ((mimplies (mdia_d p)) (mdia_d q)))) (mnot ((mimplies (mdia_d q)) (mdia_d p)))) V)
% 87.75/87.95 Found False_rect00:=(False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))):((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 87.75/87.95 Found (False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 87.75/87.95 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 115.59/115.80 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 115.59/115.80 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of (((mor (mnot ((mimplies (mdia_d p)) (mdia_d q)))) (mnot ((mimplies (mdia_d q)) (mdia_d p)))) V)
% 115.59/115.80 Found False_rect00:=(False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))):((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 115.59/115.80 Found (False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 115.59/115.80 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 115.59/115.80 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 115.59/115.80 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of (((mor (mnot ((mimplies (mdia_d p)) (mdia_d q)))) (mnot ((mimplies (mdia_d q)) (mdia_d p)))) V0)
% 115.59/115.80 Found x30:False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 115.59/115.80 Found x30:False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 115.59/115.80 Found x30:False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 115.59/115.80 Found x30:False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 115.59/115.80 Found x30:False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 115.59/115.80 Found x30:False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 115.59/115.80 Found x10:False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)
% 115.59/115.80 Found x10:False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)
% 115.59/115.80 Found x30:False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 115.59/115.80 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 115.59/115.80 Found (or_introl10 (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 115.59/115.80 Found ((or_introl1 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 128.94/129.13 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 128.94/129.13 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 128.94/129.13 Found x30:False
% 128.94/129.13 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 128.94/129.13 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 128.94/129.13 Found (or_introl10 (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 128.94/129.13 Found ((or_introl1 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 128.94/129.13 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 128.94/129.13 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 128.94/129.13 Found x30:False
% 128.94/129.13 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 128.94/129.13 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 128.94/129.13 Found x30:False
% 128.94/129.13 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 128.94/129.13 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 128.94/129.13 Found False_rect00:=(False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))):((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 128.94/129.13 Found (False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 128.94/129.13 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 128.94/129.13 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 128.94/129.13 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of (((mor (mnot ((mimplies (mdia_d p)) (mdia_d q)))) (mnot ((mimplies (mdia_d q)) (mdia_d p)))) V)
% 128.94/129.13 Found x30:False
% 128.94/129.13 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 128.94/129.13 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 128.94/129.13 Found (or_introl10 (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 128.94/129.13 Found ((or_introl1 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 131.85/132.06 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 131.85/132.06 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 131.85/132.06 Found x10:False
% 131.85/132.06 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 131.85/132.06 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)
% 131.85/132.06 Found (or_introl10 (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 131.85/132.06 Found ((or_introl1 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 131.85/132.06 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 131.85/132.06 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 131.85/132.06 Found False_rect00:=(False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))):((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 131.85/132.06 Found (False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 131.85/132.06 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 131.85/132.06 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 131.85/132.06 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of (((mor (mnot ((mimplies (mdia_d p)) (mdia_d q)))) (mnot ((mimplies (mdia_d q)) (mdia_d p)))) V)
% 131.85/132.06 Found False_rect00:=(False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))):((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 131.85/132.06 Found (False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 131.85/132.06 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 131.85/132.06 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 143.48/143.74 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of (((mor (mnot ((mimplies (mdia_d p)) (mdia_d q)))) (mnot ((mimplies (mdia_d q)) (mdia_d p)))) V0)
% 143.48/143.74 Found x30:False
% 143.48/143.74 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 143.48/143.74 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 143.48/143.74 Found x30:False
% 143.48/143.74 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 143.48/143.74 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 143.48/143.74 Found x30:False
% 143.48/143.74 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x30) as proof of False
% 143.48/143.74 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x30) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V1)->False)
% 143.48/143.74 Found x30:False
% 143.48/143.74 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 143.48/143.74 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 143.48/143.74 Found x10:False
% 143.48/143.74 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 143.48/143.74 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 143.48/143.74 Found x10:False
% 143.48/143.74 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x10) as proof of False
% 143.48/143.74 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V1)->False)
% 143.48/143.74 Found x30:False
% 143.48/143.74 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 143.48/143.74 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 143.48/143.74 Found x10:False
% 143.48/143.74 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 143.48/143.74 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 143.48/143.74 Found x10:False
% 143.48/143.74 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x10) as proof of False
% 143.48/143.74 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V1)->False)
% 143.48/143.74 Found x30:False
% 143.48/143.74 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x30) as proof of False
% 143.48/143.74 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x30) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V1)->False)
% 143.48/143.74 Found x30:False
% 143.48/143.74 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 143.48/143.74 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 143.48/143.74 Found x30:False
% 143.48/143.74 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 143.48/143.74 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 143.48/143.74 Found x30:False
% 143.48/143.74 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 143.48/143.74 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 143.48/143.74 Found x30:False
% 143.48/143.74 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 143.48/143.74 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 143.48/143.74 Found False_rect00:=(False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))):((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 143.48/143.74 Found (False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 143.48/143.74 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 143.48/143.74 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 156.00/156.21 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of (((mor (mnot ((mimplies (mdia_d p)) (mdia_d q)))) (mnot ((mimplies (mdia_d q)) (mdia_d p)))) V)
% 156.00/156.21 Found x30:False
% 156.00/156.21 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 156.00/156.21 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 156.00/156.21 Found x30:False
% 156.00/156.21 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 156.00/156.21 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 156.00/156.21 Found False_rect00:=(False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))):((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 156.00/156.21 Found (False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 156.00/156.21 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 156.00/156.21 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 156.00/156.21 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of (((mor (mnot ((mimplies (mdia_d p)) (mdia_d q)))) (mnot ((mimplies (mdia_d q)) (mdia_d p)))) V)
% 156.00/156.21 Found x10:False
% 156.00/156.21 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of False
% 156.00/156.21 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)
% 156.00/156.21 Found x10:False
% 156.00/156.21 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 156.00/156.21 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)
% 156.00/156.21 Found False_rect00:=(False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))):((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 156.00/156.21 Found (False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 156.00/156.21 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 156.00/156.21 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 156.00/156.21 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of (((mor (mnot ((mimplies (mdia_d p)) (mdia_d q)))) (mnot ((mimplies (mdia_d q)) (mdia_d p)))) V0)
% 156.00/156.21 Found x30:False
% 156.00/156.21 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 156.00/156.21 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 156.00/156.21 Found x30:False
% 156.00/156.21 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 156.00/156.21 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 156.00/156.21 Found x30:False
% 156.00/156.21 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 171.84/172.09 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 171.84/172.09 Found x30:False
% 171.84/172.09 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 171.84/172.09 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 171.84/172.09 Found x30:False
% 171.84/172.09 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 171.84/172.09 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 171.84/172.09 Found x30:False
% 171.84/172.09 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 171.84/172.09 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 171.84/172.09 Found x10:False
% 171.84/172.09 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 171.84/172.09 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 171.84/172.09 Found x10:False
% 171.84/172.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 171.84/172.09 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 171.84/172.09 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 171.84/172.09 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 171.84/172.09 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 171.84/172.09 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 171.84/172.09 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 171.84/172.09 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 171.84/172.09 Found or_introl20:=(or_introl2 ((mnot q) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot q) V0)))
% 171.84/172.09 Found (or_introl2 ((mnot q) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 171.84/172.09 Found ((or_introl (((rel_d W) V1)->False)) ((mnot q) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 171.84/172.09 Found ((or_introl (((rel_d W) V1)->False)) ((mnot q) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 171.84/172.09 Found ((or_introl (((rel_d W) V1)->False)) ((mnot q) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 171.84/172.09 Found ((or_introl (((rel_d W) V1)->False)) ((mnot q) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 171.84/172.09 Found x30:False
% 171.84/172.09 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 171.84/172.09 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 171.84/172.09 Found (or_introl10 (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 171.84/172.09 Found ((or_introl1 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 171.84/172.09 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 171.84/172.09 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 171.84/172.09 Found x30:False
% 171.84/172.09 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 171.84/172.09 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 188.92/189.14 Found x30:False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 188.92/189.14 Found x10:False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)
% 188.92/189.14 Found x10:False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)
% 188.92/189.14 Found x30:False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 188.92/189.14 Found (or_intror00 (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 188.92/189.14 Found ((or_intror0 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 188.92/189.14 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 188.92/189.14 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 188.92/189.14 Found x30:False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 188.92/189.14 Found x30:False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 188.92/189.14 Found x30:False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 188.92/189.14 Found (or_introl10 (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 188.92/189.14 Found ((or_introl1 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 188.92/189.14 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 188.92/189.14 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 188.92/189.14 Found x10:False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of False
% 188.92/189.14 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)
% 188.92/189.14 Found (or_intror00 (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 188.92/189.14 Found ((or_intror0 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 203.84/204.08 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 203.84/204.08 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 203.84/204.08 Found x30:False
% 203.84/204.08 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 203.84/204.08 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 203.84/204.08 Found (or_intror10 (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 203.84/204.08 Found ((or_intror1 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 203.84/204.08 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 203.84/204.08 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 203.84/204.08 Found x30:False
% 203.84/204.08 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 203.84/204.08 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 203.84/204.08 Found (or_intror10 (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 203.84/204.08 Found ((or_intror1 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 203.84/204.08 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 203.84/204.08 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 203.84/204.08 Found x30:False
% 203.84/204.08 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 203.84/204.08 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 203.84/204.08 Found x30:False
% 203.84/204.08 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 203.84/204.08 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 203.84/204.08 Found x30:False
% 203.84/204.08 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 203.84/204.08 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 203.84/204.08 Found x30:False
% 203.84/204.08 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x30) as proof of False
% 203.84/204.08 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x30) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V1)->False)
% 203.84/204.08 Found x10:False
% 203.84/204.08 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 203.84/204.08 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 212.31/212.59 Found x10:False
% 212.31/212.59 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x10) as proof of False
% 212.31/212.59 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V1)->False)
% 212.31/212.59 Found x30:False
% 212.31/212.59 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of False
% 212.31/212.59 Found (fun (x5:(((rel_d S) V1)->False))=> x30) as proof of ((((rel_d S) V1)->False)->False)
% 212.31/212.59 Found x10:False
% 212.31/212.59 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x10) as proof of False
% 212.31/212.59 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V1)->False)
% 212.31/212.59 Found x10:False
% 212.31/212.59 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of False
% 212.31/212.59 Found (fun (x5:(((rel_d S) V1)->False))=> x10) as proof of ((((rel_d S) V1)->False)->False)
% 212.31/212.59 Found x30:False
% 212.31/212.59 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x30) as proof of False
% 212.31/212.59 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x30) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V1)->False)
% 212.31/212.59 Found x30:False
% 212.31/212.59 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 212.31/212.59 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 212.31/212.59 Found x30:False
% 212.31/212.59 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 212.31/212.59 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 212.31/212.59 Found x30:False
% 212.31/212.59 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 212.31/212.59 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 212.31/212.59 Found x30:False
% 212.31/212.59 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 212.31/212.59 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 212.31/212.59 Found x30:False
% 212.31/212.59 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 212.31/212.59 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 212.31/212.59 Found (or_introl00 (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 212.31/212.59 Found ((or_introl0 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 212.31/212.59 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 212.31/212.59 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 212.31/212.59 Found x10:False
% 212.31/212.59 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of False
% 212.31/212.59 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)
% 212.31/212.59 Found (or_intror10 (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 212.31/212.59 Found ((or_intror1 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 212.31/212.59 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 212.31/212.59 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 228.57/228.84 Found False_rect00:=(False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))):((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 228.57/228.84 Found (False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 228.57/228.84 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 228.57/228.84 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 228.57/228.84 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of (((mor (mnot ((mimplies (mdia_d p)) (mdia_d q)))) (mnot ((mimplies (mdia_d q)) (mdia_d p)))) V)
% 228.57/228.84 Found x30:False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 228.57/228.84 Found (or_introl10 (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 228.57/228.84 Found ((or_introl1 ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 228.57/228.84 Found (((or_introl ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 228.57/228.84 Found (((or_introl ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 228.57/228.84 Found x30:False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 228.57/228.84 Found x30:False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 228.57/228.84 Found x10:False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)
% 228.57/228.84 Found x10:False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)
% 228.57/228.84 Found x30:False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 228.57/228.84 Found x30:False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 228.57/228.84 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 228.57/228.84 Found False_rect00:=(False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))):((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 237.22/237.52 Found (False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 237.22/237.52 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 237.22/237.52 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 237.22/237.52 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))) as proof of (((mor (mnot ((mimplies (mdia_d p)) (mdia_d q)))) (mnot ((mimplies (mdia_d q)) (mdia_d p)))) V)
% 237.22/237.52 Found x30:False
% 237.22/237.52 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 237.22/237.52 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 237.22/237.52 Found x30:False
% 237.22/237.52 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 237.22/237.52 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 237.22/237.52 Found False_rect00:=(False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))):((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 237.22/237.52 Found (False_rect0 ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 237.22/237.52 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 237.22/237.52 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 237.22/237.52 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))) as proof of (((mor (mnot ((mimplies (mdia_d p)) (mdia_d q)))) (mnot ((mimplies (mdia_d q)) (mdia_d p)))) V0)
% 237.22/237.52 Found x30:False
% 237.22/237.52 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 237.22/237.52 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 237.22/237.52 Found x30:False
% 237.22/237.52 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x30) as proof of False
% 237.22/237.52 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x30) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V1)->False)
% 237.22/237.52 Found x30:False
% 237.22/237.52 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 237.22/237.52 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 237.22/237.52 Found x30:False
% 237.22/237.52 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 237.22/237.52 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 237.22/237.52 Found x10:False
% 237.22/237.52 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 237.22/237.52 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 237.22/237.52 Found x10:False
% 237.22/237.52 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x10) as proof of False
% 237.22/237.52 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V1)->False)
% 237.22/237.52 Found x30:False
% 237.22/237.52 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x30) as proof of False
% 237.22/237.52 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x30) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V1)->False)
% 251.89/252.21 Found x10:False
% 251.89/252.21 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x10) as proof of False
% 251.89/252.21 Found (fun (x5:(((mequiv (mdia_d p)) (mdia_d q)) V1))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V1)->False)
% 251.89/252.21 Found x30:False
% 251.89/252.21 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 251.89/252.21 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 251.89/252.21 Found x10:False
% 251.89/252.21 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 251.89/252.21 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 251.89/252.21 Found x30:False
% 251.89/252.21 Found (fun (x5:((mdia_d p) V))=> x30) as proof of False
% 251.89/252.21 Found (fun (x5:((mdia_d p) V))=> x30) as proof of (((mdia_d p) V)->False)
% 251.89/252.21 Found x30:False
% 251.89/252.21 Found (fun (x5:((mdia_d q) V))=> x30) as proof of False
% 251.89/252.21 Found (fun (x5:((mdia_d q) V))=> x30) as proof of (((mdia_d q) V)->False)
% 251.89/252.21 Found x30:False
% 251.89/252.21 Found (fun (x5:((mnot (mdia_d q)) V))=> x30) as proof of False
% 251.89/252.21 Found (fun (x5:((mnot (mdia_d q)) V))=> x30) as proof of (((mnot (mdia_d q)) V)->False)
% 251.89/252.21 Found x30:False
% 251.89/252.21 Found (fun (x5:((mnot (mdia_d p)) V))=> x30) as proof of False
% 251.89/252.21 Found (fun (x5:((mnot (mdia_d p)) V))=> x30) as proof of (((mnot (mdia_d p)) V)->False)
% 251.89/252.21 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_d S) V1)->False)->((or (((rel_d S) V1)->False)) ((mnot p) V0)))
% 251.89/252.21 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_d S) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 251.89/252.21 Found ((or_introl (((rel_d S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d S) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 251.89/252.21 Found ((or_introl (((rel_d S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d S) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 251.89/252.21 Found ((or_introl (((rel_d S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d S) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 251.89/252.21 Found ((or_introl (((rel_d S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d S) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 251.89/252.21 Found or_introl20:=(or_introl2 ((mnot q) V0)):((((rel_d S) V1)->False)->((or (((rel_d S) V1)->False)) ((mnot q) V0)))
% 251.89/252.21 Found (or_introl2 ((mnot q) V0)) as proof of ((((rel_d S) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 251.89/252.21 Found ((or_introl (((rel_d S) V1)->False)) ((mnot q) V0)) as proof of ((((rel_d S) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 251.89/252.21 Found ((or_introl (((rel_d S) V1)->False)) ((mnot q) V0)) as proof of ((((rel_d S) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 251.89/252.21 Found ((or_introl (((rel_d S) V1)->False)) ((mnot q) V0)) as proof of ((((rel_d S) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 251.89/252.21 Found ((or_introl (((rel_d S) V1)->False)) ((mnot q) V0)) as proof of ((((rel_d S) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 251.89/252.21 Found x30:False
% 251.89/252.21 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 251.89/252.21 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 251.89/252.21 Found (or_introl10 (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 251.89/252.21 Found ((or_introl1 ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 251.89/252.21 Found (((or_introl ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 251.89/252.21 Found (((or_introl ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 251.89/252.21 Found x30:False
% 251.89/252.21 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 258.61/258.89 Found x30:False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 258.61/258.89 Found x10:False
% 258.61/258.89 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of False
% 258.61/258.89 Found (fun (x3:(((rel_d S) V0)->False))=> x10) as proof of ((((rel_d S) V0)->False)->False)
% 258.61/258.89 Found x10:False
% 258.61/258.89 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 258.61/258.89 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 258.61/258.89 Found x10:False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)
% 258.61/258.89 Found x10:False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)
% 258.61/258.89 Found x40:False
% 258.61/258.89 Found (fun (x5:((mnot (mdia_d p)) V))=> x40) as proof of False
% 258.61/258.89 Found (fun (x5:((mnot (mdia_d p)) V))=> x40) as proof of (((mnot (mdia_d p)) V)->False)
% 258.61/258.89 Found x40:False
% 258.61/258.89 Found (fun (x5:((mnot (mdia_d q)) V))=> x40) as proof of False
% 258.61/258.89 Found (fun (x5:((mnot (mdia_d q)) V))=> x40) as proof of (((mnot (mdia_d q)) V)->False)
% 258.61/258.89 Found x40:False
% 258.61/258.89 Found (fun (x5:((mdia_d q) V))=> x40) as proof of False
% 258.61/258.89 Found (fun (x5:((mdia_d q) V))=> x40) as proof of (((mdia_d q) V)->False)
% 258.61/258.89 Found x40:False
% 258.61/258.89 Found (fun (x5:((mdia_d p) V))=> x40) as proof of False
% 258.61/258.89 Found (fun (x5:((mdia_d p) V))=> x40) as proof of (((mdia_d p) V)->False)
% 258.61/258.89 Found x30:False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 258.61/258.89 Found (or_introl10 (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 258.61/258.89 Found ((or_introl1 ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 258.61/258.89 Found (((or_introl ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 258.61/258.89 Found (((or_introl ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 258.61/258.89 Found x10:False
% 258.61/258.89 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 258.61/258.89 Found (fun (x3:(((mequiv (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((((mequiv (mdia_d p)) (mdia_d q)) V0)->False)
% 258.61/258.89 Found x10:False
% 258.61/258.89 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 258.61/258.89 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 258.61/258.89 Found x30:False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 258.61/258.89 Found x30:False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 258.61/258.89 Found x30:False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 258.61/258.89 Found x30:False
% 258.61/258.89 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 274.02/274.31 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 274.02/274.31 Found x30:False
% 274.02/274.31 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 274.02/274.31 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 274.02/274.31 Found (or_introl10 (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 274.02/274.31 Found ((or_introl1 ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 274.02/274.31 Found (((or_introl ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 274.02/274.31 Found (((or_introl ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V))
% 274.02/274.31 Found x10:False
% 274.02/274.31 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of False
% 274.02/274.31 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)
% 274.02/274.31 Found (or_intror00 (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0))
% 274.02/274.31 Found ((or_intror0 ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0))
% 274.02/274.31 Found (((or_intror ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0))
% 274.02/274.31 Found (((or_intror ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0))
% 274.02/274.31 Found x30:False
% 274.02/274.31 Found (fun (x5:((mdia_d q) V))=> x30) as proof of False
% 274.02/274.31 Found (fun (x5:((mdia_d q) V))=> x30) as proof of (((mdia_d q) V)->False)
% 274.02/274.31 Found x30:False
% 274.02/274.31 Found (fun (x5:((mdia_d p) V))=> x30) as proof of False
% 274.02/274.31 Found (fun (x5:((mdia_d p) V))=> x30) as proof of (((mdia_d p) V)->False)
% 274.02/274.31 Found x30:False
% 274.02/274.31 Found (fun (x5:((mnot (mdia_d q)) V))=> x30) as proof of False
% 274.02/274.31 Found (fun (x5:((mnot (mdia_d q)) V))=> x30) as proof of (((mnot (mdia_d q)) V)->False)
% 274.02/274.31 Found x30:False
% 274.02/274.31 Found (fun (x5:((mnot (mdia_d p)) V))=> x30) as proof of False
% 274.02/274.31 Found (fun (x5:((mnot (mdia_d p)) V))=> x30) as proof of (((mnot (mdia_d p)) V)->False)
% 274.02/274.31 Found x30:False
% 274.02/274.31 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 274.02/274.31 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 274.02/274.31 Found (or_intror10 (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 274.02/274.31 Found ((or_intror1 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 274.02/274.31 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 289.29/289.57 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 289.29/289.57 Found x30:False
% 289.29/289.57 Found (fun (x5:((mdia_d q) V))=> x30) as proof of False
% 289.29/289.57 Found (fun (x5:((mdia_d q) V))=> x30) as proof of (((mdia_d q) V)->False)
% 289.29/289.57 Found x30:False
% 289.29/289.57 Found (fun (x5:((mdia_d p) V))=> x30) as proof of False
% 289.29/289.57 Found (fun (x5:((mdia_d p) V))=> x30) as proof of (((mdia_d p) V)->False)
% 289.29/289.57 Found x30:False
% 289.29/289.57 Found (fun (x5:((mnot (mdia_d p)) V))=> x30) as proof of False
% 289.29/289.57 Found (fun (x5:((mnot (mdia_d p)) V))=> x30) as proof of (((mnot (mdia_d p)) V)->False)
% 289.29/289.57 Found x30:False
% 289.29/289.57 Found (fun (x5:((mnot (mdia_d q)) V))=> x30) as proof of False
% 289.29/289.57 Found (fun (x5:((mnot (mdia_d q)) V))=> x30) as proof of (((mnot (mdia_d q)) V)->False)
% 289.29/289.57 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot p) V0)))
% 289.29/289.57 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 289.29/289.57 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 289.29/289.57 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 289.29/289.57 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 289.29/289.57 Found ((or_introl (((rel_d W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot p) V0)))
% 289.29/289.57 Found or_introl10:=(or_introl1 ((mnot q) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mnot q) V0)))
% 289.29/289.57 Found (or_introl1 ((mnot q) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 289.29/289.57 Found ((or_introl (((rel_d W) V1)->False)) ((mnot q) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 289.29/289.57 Found ((or_introl (((rel_d W) V1)->False)) ((mnot q) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 289.29/289.57 Found ((or_introl (((rel_d W) V1)->False)) ((mnot q) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 289.29/289.57 Found ((or_introl (((rel_d W) V1)->False)) ((mnot q) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mnot q) V0)))
% 289.29/289.57 Found x30:False
% 289.29/289.57 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 289.29/289.57 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 289.29/289.57 Found (or_introl00 (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 289.29/289.57 Found ((or_introl0 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 289.29/289.57 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 289.29/289.57 Found (((or_introl ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 289.29/289.57 Found x30:False
% 289.29/289.57 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 289.29/289.57 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 289.29/289.57 Found x30:False
% 289.29/289.57 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 289.29/289.57 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 299.60/299.88 Found x30:False
% 299.60/299.88 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 299.60/299.88 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 299.60/299.88 Found x30:False
% 299.60/299.88 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 299.60/299.88 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 299.60/299.88 Found x30:False
% 299.60/299.88 Found (fun (x5:((mnot (mdia_d q)) V))=> x30) as proof of False
% 299.60/299.88 Found (fun (x5:((mnot (mdia_d q)) V))=> x30) as proof of (((mnot (mdia_d q)) V)->False)
% 299.60/299.88 Found x30:False
% 299.60/299.88 Found (fun (x5:((mnot (mdia_d p)) V))=> x30) as proof of False
% 299.60/299.88 Found (fun (x5:((mnot (mdia_d p)) V))=> x30) as proof of (((mnot (mdia_d p)) V)->False)
% 299.60/299.88 Found x30:False
% 299.60/299.88 Found (fun (x5:((mdia_d q) V))=> x30) as proof of False
% 299.60/299.88 Found (fun (x5:((mdia_d q) V))=> x30) as proof of (((mdia_d q) V)->False)
% 299.60/299.88 Found x30:False
% 299.60/299.88 Found (fun (x5:((mdia_d p) V))=> x30) as proof of False
% 299.60/299.88 Found (fun (x5:((mdia_d p) V))=> x30) as proof of (((mdia_d p) V)->False)
% 299.60/299.88 Found x10:False
% 299.60/299.88 Found (fun (x5:((mnot (mdia_d p)) V0))=> x10) as proof of False
% 299.60/299.88 Found (fun (x5:((mnot (mdia_d p)) V0))=> x10) as proof of (((mnot (mdia_d p)) V0)->False)
% 299.60/299.88 Found x10:False
% 299.60/299.88 Found (fun (x5:((mnot (mdia_d q)) V0))=> x10) as proof of False
% 299.60/299.88 Found (fun (x5:((mnot (mdia_d q)) V0))=> x10) as proof of (((mnot (mdia_d q)) V0)->False)
% 299.60/299.88 Found x10:False
% 299.60/299.88 Found (fun (x5:((mdia_d q) V0))=> x10) as proof of False
% 299.60/299.88 Found (fun (x5:((mdia_d q) V0))=> x10) as proof of (((mdia_d q) V0)->False)
% 299.60/299.88 Found x10:False
% 299.60/299.88 Found (fun (x5:((mdia_d p) V0))=> x10) as proof of False
% 299.60/299.88 Found (fun (x5:((mdia_d p) V0))=> x10) as proof of (((mdia_d p) V0)->False)
% 299.60/299.88 Found x30:False
% 299.60/299.88 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of False
% 299.60/299.88 Found (fun (x4:(((mimplies (mdia_d p)) (mdia_d q)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)
% 299.60/299.88 Found x30:False
% 299.60/299.88 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 299.60/299.88 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 299.60/299.88 Found x30:False
% 299.60/299.88 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of False
% 299.60/299.88 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)
% 299.60/299.88 Found (or_intror10 (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 299.60/299.88 Found ((or_intror1 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 299.60/299.88 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 299.60/299.88 Found (((or_intror ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V))=> x30)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V))
% 299.60/299.88 Found x10:False
% 299.60/299.88 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of False
% 299.60/299.88 Found (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10) as proof of ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)
% 299.60/299.88 Found (or_intror10 (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 299.60/299.88 Found ((or_intror1 ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0)) (fun (x4:(((mimplies (mdia_d q)) (mdia_d p)) V0))=> x10)) as proof of ((or ((mnot ((mimplies (mdia_d p)) (mdia_d q))) V0)) ((mnot ((mimplies (mdia_d q)) (mdia_d p))) V0))
% 299.60/299.88 Found (((or_intror ((
%------------------------------------------------------------------------------