cocATP---0.2.0.UNK-Non.f

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SWV010^7 : TPTP v6.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n111.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.20.3.el6.x86_64
% CPULimit : 300s
% DateTime : Thu Jul 17 13:35:16 EDT 2014

% Result   : Unknown 0.47s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SWV010^7 : TPTP v6.1.0. Released v5.5.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n111.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.20.3.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jul 17 07:26:36 CDT 2014
% % CPUTime  : 0.47 
% Python 2.7.5
% Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL015^0.ax, trying next directory
% FOF formula (<kernel.Constant object at 0x10a5e18>, <kernel.Type object at 0x10a5cb0>) of role type named mu_type
% Using role type
% Declaring mu:Type
% FOF formula (<kernel.Constant object at 0x10a5e60>, <kernel.DependentProduct object at 0x10a5e18>) of role type named qmltpeq_type
% Using role type
% Declaring qmltpeq:(mu->(mu->(fofType->Prop)))
% FOF formula (<kernel.Constant object at 0x10a7680>, <kernel.DependentProduct object at 0x12ec050>) of role type named meq_prop_type
% Using role type
% Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 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
% 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))))
% Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% FOF formula (<kernel.Constant object at 0x10a7440>, <kernel.DependentProduct object at 0x12ec3f8>) of role type named mnot_type
% Using role type
% Declaring mnot:((fofType->Prop)->(fofType->Prop))
% FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% FOF formula (<kernel.Constant object at 0x12ec638>, <kernel.DependentProduct object at 0x12ec320>) of role type named mor_type
% Using role type
% Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 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
% 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))))
% Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% FOF formula (<kernel.Constant object at 0x12ec3f8>, <kernel.DependentProduct object at 0x1087908>) of role type named mbox_type
% Using role type
% Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 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
% 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)))))
% Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% FOF formula (<kernel.Constant object at 0x12ec3f8>, <kernel.DependentProduct object at 0x1087050>) of role type named mforall_prop_type
% Using role type
% Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 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
% 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))))
% Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% FOF formula (<kernel.Constant object at 0x10872d8>, <kernel.DependentProduct object at 0x10871b8>) of role type named mtrue_type
% Using role type
% Declaring mtrue:(fofType->Prop)
% FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% Defined: mtrue:=(fun (W:fofType)=> True)
% FOF formula (<kernel.Constant object at 0x1087440>, <kernel.DependentProduct object at 0x10a6cb0>) of role type named mfalse_type
% Using role type
% Declaring mfalse:(fofType->Prop)
% FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% Defined: mfalse:=(mnot mtrue)
% FOF formula (<kernel.Constant object at 0x10872d8>, <kernel.DependentProduct object at 0x1087560>) of role type named mand_type
% Using role type
% Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 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
% A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% FOF formula (<kernel.Constant object at 0x10873b0>, <kernel.DependentProduct object at 0x10a6d88>) of role type named mimplies_type
% Using role type
% Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 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
% A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% FOF formula (<kernel.Constant object at 0x10873b0>, <kernel.DependentProduct object at 0x10a6bd8>) of role type named mimplied_type
% Using role type
% Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 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
% A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% FOF formula (<kernel.Constant object at 0x1087440>, <kernel.DependentProduct object at 0x10a6cf8>) of role type named mequiv_type
% Using role type
% Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 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
% 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))))
% Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% FOF formula (<kernel.Constant object at 0x10a6cf8>, <kernel.DependentProduct object at 0x10a6ef0>) of role type named mxor_type
% Using role type
% Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 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
% A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% FOF formula (<kernel.Constant object at 0x10a6ef0>, <kernel.DependentProduct object at 0x10a6050>) of role type named mdia_type
% Using role type
% Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 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
% 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)))))
% Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% FOF formula (<kernel.Constant object at 0x10a6ef0>, <kernel.DependentProduct object at 0xe99710>) of role type named exists_in_world_type
% Using role type
% Declaring exists_in_world:(mu->(fofType->Prop))
% FOF formula (forall (V:fofType), ((ex mu) (fun (X:mu)=> ((exists_in_world X) V)))) of role axiom named nonempty_ax
% A new axiom: (forall (V:fofType), ((ex mu) (fun (X:mu)=> ((exists_in_world X) V))))
% FOF formula (<kernel.Constant object at 0x10a6f38>, <kernel.DependentProduct object at 0xe995f0>) of role type named mforall_ind_type
% Using role type
% Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), (((exists_in_world X) W)->((Phi X) W))))) of role definition named mforall_ind
% A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), (((exists_in_world X) W)->((Phi X) W)))))
% Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), (((exists_in_world X) W)->((Phi X) W))))
% FOF formula (<kernel.Constant object at 0xe99950>, <kernel.DependentProduct object at 0xe99488>) of role type named mexists_ind_type
% Using role type
% Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 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
% 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)))))))
% Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% FOF formula (<kernel.Constant object at 0xe99488>, <kernel.DependentProduct object at 0xe996c8>) of role type named mexists_prop_type
% Using role type
% Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 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
% 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)))))))
% Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% FOF formula (<kernel.Constant object at 0xe995f0>, <kernel.DependentProduct object at 0xe99c68>) of role type named mreflexive_type
% Using role type
% Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% FOF formula (<kernel.Constant object at 0xe99c68>, <kernel.DependentProduct object at 0xe99bd8>) of role type named msymmetric_type
% Using role type
% Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 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
% 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)))))
% Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% FOF formula (<kernel.Constant object at 0xe99bd8>, <kernel.DependentProduct object at 0xe99cb0>) of role type named mserial_type
% Using role type
% Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 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
% 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))))))
% Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% FOF formula (<kernel.Constant object at 0xe99cb0>, <kernel.DependentProduct object at 0xe99878>) of role type named mtransitive_type
% Using role type
% Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 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
% 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)))))
% Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% FOF formula (<kernel.Constant object at 0xe99878>, <kernel.DependentProduct object at 0xe994d0>) of role type named meuclidean_type
% Using role type
% Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 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
% 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)))))
% Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% FOF formula (<kernel.Constant object at 0xe994d0>, <kernel.DependentProduct object at 0xe99e60>) of role type named mpartially_functional_type
% Using role type
% Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 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
% 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)))))
% 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))))
% FOF formula (<kernel.Constant object at 0xe99e60>, <kernel.DependentProduct object at 0xe997a0>) of role type named mfunctional_type
% Using role type
% Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 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
% 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)))))))))
% 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))))))))
% FOF formula (<kernel.Constant object at 0xe997a0>, <kernel.DependentProduct object at 0xe995a8>) of role type named mweakly_dense_type
% Using role type
% Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 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
% 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)))))))))
% 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))))))))
% FOF formula (<kernel.Constant object at 0xe995a8>, <kernel.DependentProduct object at 0xe99c68>) of role type named mweakly_connected_type
% Using role type
% Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 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
% 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))))))
% 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)))))
% FOF formula (<kernel.Constant object at 0xe99c68>, <kernel.DependentProduct object at 0xe99950>) of role type named mweakly_directed_type
% Using role type
% Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 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
% 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))))))))
% 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)))))))
% FOF formula (<kernel.Constant object at 0xe99488>, <kernel.DependentProduct object at 0xe99b90>) of role type named mvalid_type
% Using role type
% Declaring mvalid:((fofType->Prop)->Prop)
% FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% FOF formula (<kernel.Constant object at 0xe99c68>, <kernel.DependentProduct object at 0x1094050>) of role type named msatisfiable_type
% Using role type
% Declaring msatisfiable:((fofType->Prop)->Prop)
% FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% FOF formula (<kernel.Constant object at 0xe994d0>, <kernel.DependentProduct object at 0x1094128>) of role type named mcountersatisfiable_type
% Using role type
% Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% FOF formula (<kernel.Constant object at 0xe99b90>, <kernel.DependentProduct object at 0x10942d8>) of role type named minvalid_type
% Using role type
% Declaring minvalid:((fofType->Prop)->Prop)
% FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^5.ax, trying next directory
% FOF formula (<kernel.Constant object at 0x10a5128>, <kernel.DependentProduct object at 0x10a50e0>) of role type named rel_s4_type
% Using role type
% Declaring rel_s4:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x10a5050>, <kernel.DependentProduct object at 0x10a5098>) of role type named mbox_s4_type
% Using role type
% Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))) of role definition named mbox_s4
% A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))))
% Defined: mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))
% FOF formula (<kernel.Constant object at 0x10a7680>, <kernel.DependentProduct object at 0x10a50e0>) of role type named mdia_s4_type
% Using role type
% Declaring mdia_s4:((fofType->Prop)->(fofType->Prop))
% FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))) of role definition named mdia_s4
% A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))))
% Defined: mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))
% FOF formula (mreflexive rel_s4) of role axiom named a1
% A new axiom: (mreflexive rel_s4)
% FOF formula (mtransitive rel_s4) of role axiom named a2
% A new axiom: (mtransitive rel_s4)
% Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL015^1.ax, trying next directory
% FOF formula (forall (X:mu) (V:fofType) (W:fofType), (((and ((exists_in_world X) V)) ((rel_s4 V) W))->((exists_in_world X) W))) of role axiom named cumulative_ax
% A new axiom: (forall (X:mu) (V:fofType) (W:fofType), (((and ((exists_in_world X) V)) ((rel_s4 V) W))->((exists_in_world X) W)))
% FOF formula (<kernel.Constant object at 0x10a7a28>, <kernel.DependentProduct object at 0x10a5ea8>) of role type named a_holds_type
% Using role type
% Declaring a_holds:(mu->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x10a7320>, <kernel.DependentProduct object at 0x10a5ab8>) of role type named a_stored_type
% Using role type
% Declaring a_stored:(mu->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x10a7320>, <kernel.DependentProduct object at 0x10a5908>) of role type named fresh_to_b_type
% Using role type
% Declaring fresh_to_b:(mu->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x10a5ea8>, <kernel.DependentProduct object at 0x10a5b00>) of role type named b_holds_type
% Using role type
% Declaring b_holds:(mu->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x10a5ab8>, <kernel.DependentProduct object at 0x10a5a70>) of role type named b_stored_type
% Using role type
% Declaring b_stored:(mu->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x10a5908>, <kernel.DependentProduct object at 0x10a5ea8>) of role type named party_of_protocol_type
% Using role type
% Declaring party_of_protocol:(mu->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x10a5b00>, <kernel.DependentProduct object at 0x10a5ab8>) of role type named t_holds_type
% Using role type
% Declaring t_holds:(mu->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x10a5a70>, <kernel.DependentProduct object at 0x10a5908>) of role type named message_type
% Using role type
% Declaring message:(mu->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x10a5ea8>, <kernel.Constant object at 0x10a5908>) of role type named an_a_nonce_type
% Using role type
% Declaring an_a_nonce:mu
% FOF formula (forall (V:fofType), ((exists_in_world an_a_nonce) V)) of role axiom named existence_of_an_a_nonce_ax
% A new axiom: (forall (V:fofType), ((exists_in_world an_a_nonce) V))
% FOF formula (<kernel.Constant object at 0x10a5950>, <kernel.DependentProduct object at 0x10a5b90>) of role type named generate_b_nonce_type
% Using role type
% Declaring generate_b_nonce:(mu->mu)
% FOF formula (forall (V:fofType) (V1:mu), ((exists_in_world (generate_b_nonce V1)) V)) of role axiom named existence_of_generate_b_nonce_ax
% A new axiom: (forall (V:fofType) (V1:mu), ((exists_in_world (generate_b_nonce V1)) V))
% FOF formula (<kernel.Constant object at 0x10a5908>, <kernel.DependentProduct object at 0x10a53b0>) of role type named generate_expiration_time_type
% Using role type
% Declaring generate_expiration_time:(mu->mu)
% FOF formula (forall (V:fofType) (V1:mu), ((exists_in_world (generate_expiration_time V1)) V)) of role axiom named existence_of_generate_expiration_time_ax
% A new axiom: (forall (V:fofType) (V1:mu), ((exists_in_world (generate_expiration_time V1)) V))
% FOF formula (<kernel.Constant object at 0x10a57a0>, <kernel.DependentProduct object at 0x10a5950>) of role type named pair_type
% Using role type
% Declaring pair:(mu->(mu->mu))
% FOF formula (forall (V:fofType) (V2:mu) (V1:mu), ((exists_in_world ((pair V2) V1)) V)) of role axiom named existence_of_pair_ax
% A new axiom: (forall (V:fofType) (V2:mu) (V1:mu), ((exists_in_world ((pair V2) V1)) V))
% FOF formula (<kernel.Constant object at 0x10a5440>, <kernel.Constant object at 0x10a5830>) of role type named a_type
% Using role type
% Declaring a:mu
% FOF formula (forall (V:fofType), ((exists_in_world a) V)) of role axiom named existence_of_a_ax
% A new axiom: (forall (V:fofType), ((exists_in_world a) V))
% FOF formula (<kernel.Constant object at 0x10a53f8>, <kernel.Constant object at 0x10a54d0>) of role type named at_type
% Using role type
% Declaring at:mu
% FOF formula (forall (V:fofType), ((exists_in_world at) V)) of role axiom named existence_of_at_ax
% A new axiom: (forall (V:fofType), ((exists_in_world at) V))
% FOF formula (<kernel.Constant object at 0x10a5d40>, <kernel.Constant object at 0x10a5998>) of role type named b_type
% Using role type
% Declaring b:mu
% FOF formula (forall (V:fofType), ((exists_in_world b) V)) of role axiom named existence_of_b_ax
% A new axiom: (forall (V:fofType), ((exists_in_world b) V))
% FOF formula (<kernel.Constant object at 0x10a52d8>, <kernel.Constant object at 0x10a5b00>) of role type named bt_type
% Using role type
% Declaring bt:mu
% FOF formula (forall (V:fofType), ((exists_in_world bt) V)) of role axiom named existence_of_bt_ax
% A new axiom: (forall (V:fofType), ((exists_in_world bt) V))
% FOF formula (<kernel.Constant object at 0x10a5560>, <kernel.DependentProduct object at 0x10a57a0>) of role type named generate_key_type
% Using role type
% Declaring generate_key:(mu->mu)
% FOF formula (forall (V:fofType) (V1:mu), ((exists_in_world (generate_key V1)) V)) of role axiom named existence_of_generate_key_ax
% A new axiom: (forall (V:fofType) (V1:mu), ((exists_in_world (generate_key V1)) V))
% FOF formula (<kernel.Constant object at 0x10a50e0>, <kernel.DependentProduct object at 0x10a5488>) of role type named quadruple_type
% Using role type
% Declaring quadruple:(mu->(mu->(mu->(mu->mu))))
% FOF formula (forall (V:fofType) (V4:mu) (V3:mu) (V2:mu) (V1:mu), ((exists_in_world ((((quadruple V4) V3) V2) V1)) V)) of role axiom named existence_of_quadruple_ax
% A new axiom: (forall (V:fofType) (V4:mu) (V3:mu) (V2:mu) (V1:mu), ((exists_in_world ((((quadruple V4) V3) V2) V1)) V))
% FOF formula (<kernel.Constant object at 0x10a5cb0>, <kernel.DependentProduct object at 0x10a5ef0>) of role type named key_type
% Using role type
% Declaring key:(mu->(mu->mu))
% FOF formula (forall (V:fofType) (V2:mu) (V1:mu), ((exists_in_world ((key V2) V1)) V)) of role axiom named existence_of_key_ax
% A new axiom: (forall (V:fofType) (V2:mu) (V1:mu), ((exists_in_world ((key V2) V1)) V))
% FOF formula (<kernel.Constant object at 0x10a5050>, <kernel.DependentProduct object at 0x10a5128>) of role type named encrypt_type
% Using role type
% Declaring encrypt:(mu->(mu->mu))
% FOF formula (forall (V:fofType) (V2:mu) (V1:mu), ((exists_in_world ((encrypt V2) V1)) V)) of role axiom named existence_of_encrypt_ax
% A new axiom: (forall (V:fofType) (V2:mu) (V1:mu), ((exists_in_world ((encrypt V2) V1)) V))
% FOF formula (<kernel.Constant object at 0x10a5098>, <kernel.DependentProduct object at 0x10a5e18>) of role type named triple_type
% Using role type
% Declaring triple:(mu->(mu->(mu->mu)))
% FOF formula (forall (V:fofType) (V3:mu) (V2:mu) (V1:mu), ((exists_in_world (((triple V3) V2) V1)) V)) of role axiom named existence_of_triple_ax
% A new axiom: (forall (V:fofType) (V3:mu) (V2:mu) (V1:mu), ((exists_in_world (((triple V3) V2) V1)) V))
% FOF formula (<kernel.Constant object at 0x10a5560>, <kernel.Constant object at 0x10a5050>) of role type named t_type
% Using role type
% Declaring t:mu
% FOF formula (forall (V:fofType), ((exists_in_world t) V)) of role axiom named existence_of_t_ax
% A new axiom: (forall (V:fofType), ((exists_in_world t) V))
% FOF formula (<kernel.Constant object at 0x10a5128>, <kernel.DependentProduct object at 0x10a57a0>) of role type named sent_type
% Using role type
% Declaring sent:(mu->(mu->(mu->mu)))
% FOF formula (forall (V:fofType) (V3:mu) (V2:mu) (V1:mu), ((exists_in_world (((sent V3) V2) V1)) V)) of role axiom named existence_of_sent_ax
% A new axiom: (forall (V:fofType) (V3:mu) (V2:mu) (V1:mu), ((exists_in_world (((sent V3) V2) V1)) V))
% FOF formula (mvalid (mbox_s4 (a_holds ((key at) t)))) of role axiom named a_holds_key_at_for_t
% A new axiom: (mvalid (mbox_s4 (a_holds ((key at) t))))
% FOF formula (mvalid (mbox_s4 (party_of_protocol a))) of role axiom named a_is_party_of_protocol
% A new axiom: (mvalid (mbox_s4 (party_of_protocol a)))
% FOF formula (mvalid (mbox_s4 (message (((sent a) b) ((pair a) an_a_nonce))))) of role axiom named a_sent_message_i_to_b
% A new axiom: (mvalid (mbox_s4 (message (((sent a) b) ((pair a) an_a_nonce)))))
% FOF formula (mvalid (mbox_s4 (a_stored ((pair b) an_a_nonce)))) of role axiom named a_stored_message_i
% A new axiom: (mvalid (mbox_s4 (a_stored ((pair b) an_a_nonce))))
% FOF formula (mvalid (mbox_s4 (mforall_ind (fun (U:mu)=> (mbox_s4 (mforall_ind (fun (V:mu)=> (mbox_s4 (mforall_ind (fun (W:mu)=> (mbox_s4 (mforall_ind (fun (X:mu)=> (mbox_s4 (mforall_ind (fun (Y:mu)=> (mbox_s4 (mforall_ind (fun (Z:mu)=> (mbox_s4 ((mimplies ((mand (mbox_s4 (message (((sent t) a) (((triple ((encrypt ((((quadruple Y) Z) W) V)) at)) X) U))))) (mbox_s4 (a_stored ((pair Y) Z))))) ((mand (mbox_s4 (message (((sent a) Y) ((pair X) ((encrypt U) W)))))) (mbox_s4 (a_holds ((key W) Y))))))))))))))))))))))))) of role axiom named a_forwards_secure
% A new axiom: (mvalid (mbox_s4 (mforall_ind (fun (U:mu)=> (mbox_s4 (mforall_ind (fun (V:mu)=> (mbox_s4 (mforall_ind (fun (W:mu)=> (mbox_s4 (mforall_ind (fun (X:mu)=> (mbox_s4 (mforall_ind (fun (Y:mu)=> (mbox_s4 (mforall_ind (fun (Z:mu)=> (mbox_s4 ((mimplies ((mand (mbox_s4 (message (((sent t) a) (((triple ((encrypt ((((quadruple Y) Z) W) V)) at)) X) U))))) (mbox_s4 (a_stored ((pair Y) Z))))) ((mand (mbox_s4 (message (((sent a) Y) ((pair X) ((encrypt U) W)))))) (mbox_s4 (a_holds ((key W) Y)))))))))))))))))))))))))
% FOF formula (mvalid (mbox_s4 (b_holds ((key bt) t)))) of role axiom named b_hold_key_bt_for_t
% A new axiom: (mvalid (mbox_s4 (b_holds ((key bt) t))))
% FOF formula (mvalid (mbox_s4 (party_of_protocol b))) of role axiom named b_is_party_of_protocol
% A new axiom: (mvalid (mbox_s4 (party_of_protocol b)))
% FOF formula (mvalid (mbox_s4 (fresh_to_b an_a_nonce))) of role axiom named nonce_a_is_fresh_to_b
% A new axiom: (mvalid (mbox_s4 (fresh_to_b an_a_nonce)))
% FOF formula (mvalid (mbox_s4 (mforall_ind (fun (U:mu)=> (mbox_s4 (mforall_ind (fun (V:mu)=> (mbox_s4 ((mimplies ((mand (mbox_s4 (message (((sent U) b) ((pair U) V))))) (mbox_s4 (fresh_to_b V)))) ((mand (mbox_s4 (message (((sent b) t) (((triple b) (generate_b_nonce V)) ((encrypt (((triple U) V) (generate_expiration_time V))) bt)))))) (mbox_s4 (b_stored ((pair U) V))))))))))))) of role axiom named b_creates_freash_nonces_in_time
% A new axiom: (mvalid (mbox_s4 (mforall_ind (fun (U:mu)=> (mbox_s4 (mforall_ind (fun (V:mu)=> (mbox_s4 ((mimplies ((mand (mbox_s4 (message (((sent U) b) ((pair U) V))))) (mbox_s4 (fresh_to_b V)))) ((mand (mbox_s4 (message (((sent b) t) (((triple b) (generate_b_nonce V)) ((encrypt (((triple U) V) (generate_expiration_time V))) bt)))))) (mbox_s4 (b_stored ((pair U) V)))))))))))))
% FOF formula (mvalid (mbox_s4 (mforall_ind (fun (V:mu)=> (mbox_s4 (mforall_ind (fun (X:mu)=> (mbox_s4 (mforall_ind (fun (Y:mu)=> (mbox_s4 ((mimplies ((mand (mbox_s4 (message (((sent X) b) ((pair ((encrypt (((triple X) V) (generate_expiration_time Y))) bt)) ((encrypt (generate_b_nonce Y)) V)))))) (mbox_s4 (b_stored ((pair X) Y))))) (mbox_s4 (b_holds ((key V) X))))))))))))))) of role axiom named b_accepts_secure_session_key
% A new axiom: (mvalid (mbox_s4 (mforall_ind (fun (V:mu)=> (mbox_s4 (mforall_ind (fun (X:mu)=> (mbox_s4 (mforall_ind (fun (Y:mu)=> (mbox_s4 ((mimplies ((mand (mbox_s4 (message (((sent X) b) ((pair ((encrypt (((triple X) V) (generate_expiration_time Y))) bt)) ((encrypt (generate_b_nonce Y)) V)))))) (mbox_s4 (b_stored ((pair X) Y))))) (mbox_s4 (b_holds ((key V) X)))))))))))))))
% FOF formula (mvalid (mbox_s4 (t_holds ((key at) a)))) of role axiom named t_holds_key_at_for_a
% A new axiom: (mvalid (mbox_s4 (t_holds ((key at) a))))
% FOF formula (mvalid (mbox_s4 (t_holds ((key bt) b)))) of role axiom named t_holds_key_bt_for_b
% A new axiom: (mvalid (mbox_s4 (t_holds ((key bt) b))))
% FOF formula (mvalid (mbox_s4 (party_of_protocol t))) of role axiom named t_is_party_of_protocol
% A new axiom: (mvalid (mbox_s4 (party_of_protocol t)))
% FOF formula (mvalid (mbox_s4 (mforall_ind (fun (U:mu)=> (mbox_s4 (mforall_ind (fun (V:mu)=> (mbox_s4 (mforall_ind (fun (W:mu)=> (mbox_s4 (mforall_ind (fun (X:mu)=> (mbox_s4 (mforall_ind (fun (Y:mu)=> (mbox_s4 (mforall_ind (fun (Z:mu)=> (mbox_s4 (mforall_ind (fun (X1:mu)=> (mbox_s4 ((mimplies ((mand (mbox_s4 (message (((sent U) t) (((triple U) V) ((encrypt (((triple W) X) Y)) Z)))))) ((mand (mbox_s4 (t_holds ((key Z) U)))) (mbox_s4 (t_holds ((key X1) W)))))) (mbox_s4 (message (((sent t) W) (((triple ((encrypt ((((quadruple U) X) (generate_key X)) Y)) X1)) ((encrypt (((triple W) (generate_key X)) Y)) Z)) V)))))))))))))))))))))))))))) of role axiom named server_t_generates_key
% A new axiom: (mvalid (mbox_s4 (mforall_ind (fun (U:mu)=> (mbox_s4 (mforall_ind (fun (V:mu)=> (mbox_s4 (mforall_ind (fun (W:mu)=> (mbox_s4 (mforall_ind (fun (X:mu)=> (mbox_s4 (mforall_ind (fun (Y:mu)=> (mbox_s4 (mforall_ind (fun (Z:mu)=> (mbox_s4 (mforall_ind (fun (X1:mu)=> (mbox_s4 ((mimplies ((mand (mbox_s4 (message (((sent U) t) (((triple U) V) ((encrypt (((triple W) X) Y)) Z)))))) ((mand (mbox_s4 (t_holds ((key Z) U)))) (mbox_s4 (t_holds ((key X1) W)))))) (mbox_s4 (message (((sent t) W) (((triple ((encrypt ((((quadruple U) X) (generate_key X)) Y)) X1)) ((encrypt (((triple W) (generate_key X)) Y)) Z)) V))))))))))))))))))))))))))))
% Parameter fofType_DUMMY:fofType.
% We need to prove []
% Parameter mu:Type.
% Parameter fofType:Type.
% Parameter qmltpeq:(mu->(mu->(fofType->Prop))).
% Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 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))).
% Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% Definition mfalse:=(mnot mtrue):(fofType->Prop).
% Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% Parameter exists_in_world:(mu->(fofType->Prop)).
% Axiom nonempty_ax:(forall (V:fofType), ((ex mu) (fun (X:mu)=> ((exists_in_world X) V)))).
% Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), (((exists_in_world X) W)->((Phi X) W)))):((mu->(fofType->Prop))->(fofType->Prop)).
% Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 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)).
% Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 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).
% 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).
% 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).
% 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).
% 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).
% 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).
% 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).
% Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% Parameter rel_s4:(fofType->(fofType->Prop)).
% Definition mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% Definition mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% Axiom a1:(mreflexive rel_s4).
% Axiom a2:(mtransitive rel_s4).
% Axiom cumulative_ax:(forall (X:mu) (V:fofType) (W:fofType), (((and ((exists_in_world X) V)) ((rel_s4 V) W))->((exists_in_world X) W))).
% Parameter a_holds:(mu->(fofType->Prop)).
% Parameter a_stored:(mu->(fofType->Prop)).
% Parameter fresh_to_b:(mu->(fofType->Prop)).
% Parameter b_holds:(mu->(fofType->Prop)).
% Parameter b_stored:(mu->(fofType->Prop)).
% Parameter party_of_protocol:(mu->(fofType->Prop)).
% Parameter t_holds:(mu->(fofType->Prop)).
% Parameter message:(mu->(fofType->Prop)).
% Parameter an_a_nonce:mu.
% Axiom existence_of_an_a_nonce_ax:(forall (V:fofType), ((exists_in_world an_a_nonce) V)).
% Parameter generate_b_nonce:(mu->mu).
% Axiom existence_of_generate_b_nonce_ax:(forall (V:fofType) (V1:mu), ((exists_in_world (generate_b_nonce V1)) V)).
% Parameter generate_expiration_time:(mu->mu).
% Axiom existence_of_generate_expiration_time_ax:(forall (V:fofType) (V1:mu), ((exists_in_world (generate_expiration_time V1)) V)).
% Parameter pair:(mu->(mu->mu)).
% Axiom existence_of_pair_ax:(forall (V:fofType) (V2:mu) (V1:mu), ((exists_in_world ((pair V2) V1)) V)).
% Parameter a:mu.
% Axiom existence_of_a_ax:(forall (V:fofType), ((exists_in_world a) V)).
% Parameter at:mu.
% Axiom existence_of_at_ax:(forall (V:fofType), ((exists_in_world at) V)).
% Parameter b:mu.
% Axiom existence_of_b_ax:(forall (V:fofType), ((exists_in_world b) V)).
% Parameter bt:mu.
% Axiom existence_of_bt_ax:(forall (V:fofType), ((exists_in_world bt) V)).
% Parameter generate_key:(mu->mu).
% Axiom existence_of_generate_key_ax:(forall (V:fofType) (V1:mu), ((exists_in_world (generate_key V1)) V)).
% Parameter quadruple:(mu->(mu->(mu->(mu->mu)))).
% Axiom existence_of_quadruple_ax:(forall (V:fofType) (V4:mu) (V3:mu) (V2:mu) (V1:mu), ((exists_in_world ((((quadruple V4) V3) V2) V1)) V)).
% Parameter key:(mu->(mu->mu)).
% Axiom existence_of_key_ax:(forall (V:fofType) (V2:mu) (V1:mu), ((exists_in_world ((key V2) V1)) V)).
% Parameter encrypt:(mu->(mu->mu)).
% Axiom existence_of_encrypt_ax:(forall (V:fofType) (V2:mu) (V1:mu), ((exists_in_world ((encrypt V2) V1)) V)).
% Parameter triple:(mu->(mu->(mu->mu))).
% Axiom existence_of_triple_ax:(forall (V:fofType) (V3:mu) (V2:mu) (V1:mu), ((exists_in_world (((triple V3) V2) V1)) V)).
% Parameter t:mu.
% Axiom existence_of_t_ax:(forall (V:fofType), ((exists_in_world t) V)).
% Parameter sent:(mu->(mu->(mu->mu))).
% Axiom existence_of_sent_ax:(forall (V:fofType) (V3:mu) (V2:mu) (V1:mu), ((exists_in_world (((sent V3) V2) V1)) V)).
% Axiom a_holds_key_at_for_t:(mvalid (mbox_s4 (a_holds ((key at) t)))).
% Axiom a_is_party_of_protocol:(mvalid (mbox_s4 (party_of_protocol a))).
% Axiom a_sent_message_i_to_b:(mvalid (mbox_s4 (message (((sent a) b) ((pair a) an_a_nonce))))).
% Axiom a_stored_message_i:(mvalid (mbox_s4 (a_stored ((pair b) an_a_nonce)))).
% Axiom a_forwards_secure:(mvalid (mbox_s4 (mforall_ind (fun (U:mu)=> (mbox_s4 (mforall_ind (fun (V:mu)=> (mbox_s4 (mforall_ind (fun (W:mu)=> (mbox_s4 (mforall_ind (fun (X:mu)=> (mbox_s4 (mforall_ind (fun (Y:mu)=> (mbox_s4 (mforall_ind (fun (Z:mu)=> (mbox_s4 ((mimplies ((mand (mbox_s4 (message (((sent t) a) (((triple ((encrypt ((((quadruple Y) Z) W) V)) at)) X) U))))) (mbox_s4 (a_stored ((pair Y) Z))))) ((mand (mbox_s4 (message (((sent a) Y) ((pair X) ((encrypt U) W)))))) (mbox_s4 (a_holds ((key W) Y))))))))))))))))))))))))).
% Axiom b_hold_key_bt_for_t:(mvalid (mbox_s4 (b_holds ((key bt) t)))).
% Axiom b_is_party_of_protocol:(mvalid (mbox_s4 (party_of_protocol b))).
% Axiom nonce_a_is_fresh_to_b:(mvalid (mbox_s4 (fresh_to_b an_a_nonce))).
% Axiom b_creates_freash_nonces_in_time:(mvalid (mbox_s4 (mforall_ind (fun (U:mu)=> (mbox_s4 (mforall_ind (fun (V:mu)=> (mbox_s4 ((mimplies ((mand (mbox_s4 (message (((sent U) b) ((pair U) V))))) (mbox_s4 (fresh_to_b V)))) ((mand (mbox_s4 (message (((sent b) t) (((triple b) (generate_b_nonce V)) ((encrypt (((triple U) V) (generate_expiration_time V))) bt)))))) (mbox_s4 (b_stored ((pair U) V))))))))))))).
% Axiom b_accepts_secure_session_key:(mvalid (mbox_s4 (mforall_ind (fun (V:mu)=> (mbox_s4 (mforall_ind (fun (X:mu)=> (mbox_s4 (mforall_ind (fun (Y:mu)=> (mbox_s4 ((mimplies ((mand (mbox_s4 (message (((sent X) b) ((pair ((encrypt (((triple X) V) (generate_expiration_time Y))) bt)) ((encrypt (generate_b_nonce Y)) V)))))) (mbox_s4 (b_stored ((pair X) Y))))) (mbox_s4 (b_holds ((key V) X))))))))))))))).
% Axiom t_holds_key_at_for_a:(mvalid (mbox_s4 (t_holds ((key at) a)))).
% Axiom t_holds_key_bt_for_b:(mvalid (mbox_s4 (t_holds ((key bt) b)))).
% Axiom t_is_party_of_protocol:(mvalid (mbox_s4 (party_of_protocol t))).
% Axiom server_t_generates_key:(mvalid (mbox_s4 (mforall_ind (fun (U:mu)=> (mbox_s4 (mforall_ind (fun (V:mu)=> (mbox_s4 (mforall_ind (fun (W:mu)=> (mbox_s4 (mforall_ind (fun (X:mu)=> (mbox_s4 (mforall_ind (fun (Y:mu)=> (mbox_s4 (mforall_ind (fun (Z:mu)=> (mbox_s4 (mforall_ind (fun (X1:mu)=> (mbox_s4 ((mimplies ((mand (mbox_s4 (message (((sent U) t) (((triple U) V) ((encrypt (((triple W) X) Y)) Z)))))) ((mand (mbox_s4 (t_holds ((key Z) U)))) (mbox_s4 (t_holds ((key X1) W)))))) (mbox_s4 (message (((sent t) W) (((triple ((encrypt ((((quadruple U) X) (generate_key X)) Y)) X1)) ((encrypt (((triple W) (generate_key X)) Y)) Z)) V)))))))))))))))))))))))))))).
% There are no conjectures!
% Adding conjecture False, to look for Unsatisfiability
% Trying to prove False
% % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------