TSTP Solution File: LCL919^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : LCL919^1 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 16091.75MB
% OS : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Mar 28 10:06:33 EDT 2016
% Result : Unknown 0.38s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL919^1 : TPTP v6.4.0. Released v6.4.0.
% 0.02/0.03 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.23 % Computer : n004.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 16091.75MB
% 0.02/0.23 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Mar 25 13:39:13 CDT 2016
% 0.02/0.23 % CPUTime :
% 0.08/0.43 Python 2.7.8
% 0.33/0.89 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.33/0.89 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.33/0.89 FOF formula (<kernel.Constant object at 0x2b92debaf1b8>, <kernel.Type object at 0x2b92debaf710>) of role type named mu_type
% 0.33/0.89 Using role type
% 0.33/0.89 Declaring mu:Type
% 0.33/0.89 FOF formula (<kernel.Constant object at 0x2b92debaf170>, <kernel.DependentProduct object at 0x2b92debaf1b8>) of role type named meq_ind_type
% 0.33/0.89 Using role type
% 0.33/0.89 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.33/0.89 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
% 0.33/0.89 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.33/0.89 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.33/0.89 FOF formula (<kernel.Constant object at 0x2b92debaf1b8>, <kernel.DependentProduct object at 0x2b92debaf200>) of role type named meq_prop_type
% 0.33/0.89 Using role type
% 0.33/0.89 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.89 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
% 0.33/0.89 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))))
% 0.33/0.89 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.33/0.89 FOF formula (<kernel.Constant object at 0x2b92debb35a8>, <kernel.DependentProduct object at 0x2b92debaf0e0>) of role type named mnot_type
% 0.33/0.89 Using role type
% 0.33/0.89 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.33/0.89 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.33/0.89 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.33/0.89 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.33/0.89 FOF formula (<kernel.Constant object at 0x2b92debb35a8>, <kernel.DependentProduct object at 0x2b92debaf440>) of role type named mor_type
% 0.33/0.89 Using role type
% 0.33/0.89 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.89 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
% 0.33/0.89 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))))
% 0.33/0.89 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.33/0.89 FOF formula (<kernel.Constant object at 0x2b92debb3d88>, <kernel.DependentProduct object at 0x2b92debaf0e0>) of role type named mand_type
% 0.33/0.89 Using role type
% 0.33/0.89 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.89 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
% 0.33/0.89 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.33/0.89 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.33/0.89 FOF formula (<kernel.Constant object at 0x2b92debaf0e0>, <kernel.DependentProduct object at 0x2b92debafdd0>) of role type named mimplies_type
% 0.33/0.89 Using role type
% 0.33/0.89 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.89 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
% 0.33/0.89 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.33/0.91 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.33/0.91 FOF formula (<kernel.Constant object at 0x2b92debafdd0>, <kernel.DependentProduct object at 0x2b92debaf170>) of role type named mimplied_type
% 0.33/0.91 Using role type
% 0.33/0.91 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.91 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
% 0.33/0.91 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.33/0.91 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.33/0.91 FOF formula (<kernel.Constant object at 0x2b92debaf170>, <kernel.DependentProduct object at 0x2b92debaf200>) of role type named mequiv_type
% 0.33/0.91 Using role type
% 0.33/0.91 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.91 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
% 0.33/0.91 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))))
% 0.33/0.91 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.33/0.91 FOF formula (<kernel.Constant object at 0x2b92debaf200>, <kernel.DependentProduct object at 0x2b92debafef0>) of role type named mxor_type
% 0.33/0.91 Using role type
% 0.33/0.91 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.91 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
% 0.33/0.91 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.33/0.91 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.33/0.91 FOF formula (<kernel.Constant object at 0x2b92debafc20>, <kernel.DependentProduct object at 0x2b92d6c86488>) of role type named mforall_ind_type
% 0.33/0.91 Using role type
% 0.33/0.91 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.33/0.91 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
% 0.33/0.91 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.33/0.91 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.33/0.91 FOF formula (<kernel.Constant object at 0x2b92debafc20>, <kernel.DependentProduct object at 0x2b92d6c861b8>) of role type named mforall_prop_type
% 0.33/0.91 Using role type
% 0.33/0.91 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.33/0.91 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
% 0.33/0.91 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))))
% 0.33/0.91 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.33/0.91 FOF formula (<kernel.Constant object at 0x2b92debafc20>, <kernel.DependentProduct object at 0x2b92d6c86878>) of role type named mexists_ind_type
% 0.33/0.91 Using role type
% 0.33/0.91 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.33/0.91 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
% 0.33/0.92 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)))))))
% 0.33/0.92 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.33/0.92 FOF formula (<kernel.Constant object at 0x2b92d6c86878>, <kernel.DependentProduct object at 0x2b92d6c86200>) of role type named mexists_prop_type
% 0.33/0.92 Using role type
% 0.33/0.92 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.33/0.92 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
% 0.33/0.92 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)))))))
% 0.33/0.92 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.33/0.92 FOF formula (<kernel.Constant object at 0x2b92debb7098>, <kernel.DependentProduct object at 0x2b92debb7248>) of role type named mtrue_type
% 0.33/0.92 Using role type
% 0.33/0.92 Declaring mtrue:(fofType->Prop)
% 0.33/0.92 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.33/0.92 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.33/0.92 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.33/0.92 FOF formula (<kernel.Constant object at 0x2b92debb70e0>, <kernel.DependentProduct object at 0x2b92d6c862d8>) of role type named mfalse_type
% 0.33/0.92 Using role type
% 0.33/0.92 Declaring mfalse:(fofType->Prop)
% 0.33/0.92 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.33/0.92 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.33/0.92 Defined: mfalse:=(mnot mtrue)
% 0.33/0.92 FOF formula (<kernel.Constant object at 0x2b92debb7098>, <kernel.DependentProduct object at 0x2b92debb7c20>) of role type named mbox_type
% 0.33/0.92 Using role type
% 0.33/0.92 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.92 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
% 0.33/0.92 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)))))
% 0.33/0.92 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.33/0.92 FOF formula (<kernel.Constant object at 0x2b92debb7b00>, <kernel.DependentProduct object at 0x2b92d6c861b8>) of role type named mdia_type
% 0.33/0.92 Using role type
% 0.33/0.92 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.92 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
% 0.33/0.92 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)))))
% 0.33/0.92 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.33/0.92 FOF formula (<kernel.Constant object at 0x2b92debb70e0>, <kernel.DependentProduct object at 0x2b92d6c86ea8>) of role type named mreflexive_type
% 0.33/0.92 Using role type
% 0.33/0.92 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.33/0.92 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.33/0.92 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.33/0.92 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.38/0.93 FOF formula (<kernel.Constant object at 0x2b92d6c86ea8>, <kernel.DependentProduct object at 0x2b92d6c86878>) of role type named msymmetric_type
% 0.38/0.93 Using role type
% 0.38/0.93 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.38/0.93 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
% 0.38/0.93 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)))))
% 0.38/0.93 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.38/0.93 FOF formula (<kernel.Constant object at 0x2b92d6c86878>, <kernel.DependentProduct object at 0x2b92d6c863b0>) of role type named mserial_type
% 0.38/0.93 Using role type
% 0.38/0.93 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.38/0.93 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
% 0.38/0.93 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))))))
% 0.38/0.93 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.38/0.93 FOF formula (<kernel.Constant object at 0x2b92d6c863b0>, <kernel.DependentProduct object at 0x2b92d6c86ea8>) of role type named mtransitive_type
% 0.38/0.93 Using role type
% 0.38/0.93 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.38/0.93 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
% 0.38/0.93 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)))))
% 0.38/0.93 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.38/0.93 FOF formula (<kernel.Constant object at 0x2b92d6c862d8>, <kernel.DependentProduct object at 0x2b92d6c86ea8>) of role type named meuclidean_type
% 0.38/0.93 Using role type
% 0.38/0.93 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.38/0.93 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
% 0.38/0.93 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)))))
% 0.38/0.93 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.38/0.93 FOF formula (<kernel.Constant object at 0x2b92d6c86878>, <kernel.DependentProduct object at 0x2b92debc54d0>) of role type named mpartially_functional_type
% 0.38/0.93 Using role type
% 0.38/0.93 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.38/0.93 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
% 0.38/0.93 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)))))
% 0.38/0.93 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))))
% 0.38/0.93 FOF formula (<kernel.Constant object at 0x2b92d6c863b0>, <kernel.DependentProduct object at 0x2b92debc5758>) of role type named mfunctional_type
% 0.38/0.93 Using role type
% 0.38/0.93 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.38/0.95 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
% 0.38/0.95 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)))))))))
% 0.38/0.95 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))))))))
% 0.38/0.95 FOF formula (<kernel.Constant object at 0x2b92d6c863b0>, <kernel.DependentProduct object at 0x2b92debc5830>) of role type named mweakly_dense_type
% 0.38/0.95 Using role type
% 0.38/0.95 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.38/0.95 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
% 0.38/0.95 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)))))))))
% 0.38/0.95 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))))))))
% 0.38/0.95 FOF formula (<kernel.Constant object at 0x2b92d6c862d8>, <kernel.DependentProduct object at 0x2b92debc55f0>) of role type named mweakly_connected_type
% 0.38/0.95 Using role type
% 0.38/0.95 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.38/0.95 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
% 0.38/0.95 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))))))
% 0.38/0.95 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)))))
% 0.38/0.95 FOF formula (<kernel.Constant object at 0x2b92debc55f0>, <kernel.DependentProduct object at 0x2b92debc5ea8>) of role type named mweakly_directed_type
% 0.38/0.95 Using role type
% 0.38/0.95 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.38/0.95 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
% 0.38/0.95 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))))))))
% 0.38/0.95 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)))))))
% 0.38/0.95 FOF formula (<kernel.Constant object at 0x2b92debc5878>, <kernel.DependentProduct object at 0x2b92debc5d40>) of role type named mvalid_type
% 0.38/0.95 Using role type
% 0.38/0.95 Declaring mvalid:((fofType->Prop)->Prop)
% 0.38/0.95 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.38/0.95 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.38/0.95 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.38/0.96 FOF formula (<kernel.Constant object at 0x2b92debc55f0>, <kernel.DependentProduct object at 0x2b92debc5830>) of role type named minvalid_type
% 0.38/0.96 Using role type
% 0.38/0.96 Declaring minvalid:((fofType->Prop)->Prop)
% 0.38/0.96 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.38/0.96 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.38/0.96 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.38/0.96 FOF formula (<kernel.Constant object at 0x2b92debc5d40>, <kernel.DependentProduct object at 0x2b92debc5560>) of role type named msatisfiable_type
% 0.38/0.96 Using role type
% 0.38/0.96 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.38/0.96 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.38/0.96 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.38/0.96 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.38/0.96 FOF formula (<kernel.Constant object at 0x2b92debc5830>, <kernel.DependentProduct object at 0x2b92debc5dd0>) of role type named mcountersatisfiable_type
% 0.38/0.96 Using role type
% 0.38/0.96 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.38/0.96 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.38/0.96 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.38/0.96 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.38/0.96 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^2.ax, trying next directory
% 0.38/0.96 FOF formula (<kernel.Constant object at 0x2b92debaf4d0>, <kernel.DependentProduct object at 0x2b92debaf128>) of role type named rel_d_type
% 0.38/0.96 Using role type
% 0.38/0.96 Declaring rel_d:(fofType->(fofType->Prop))
% 0.38/0.96 FOF formula (<kernel.Constant object at 0x2b92debaf2d8>, <kernel.DependentProduct object at 0x2b92debaf3b0>) of role type named mbox_d_type
% 0.38/0.96 Using role type
% 0.38/0.96 Declaring mbox_d:((fofType->Prop)->(fofType->Prop))
% 0.38/0.96 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
% 0.38/0.96 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)))))
% 0.38/0.96 Defined: mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))
% 0.38/0.96 FOF formula (<kernel.Constant object at 0x2b92debaf3b0>, <kernel.DependentProduct object at 0x2b92debaf050>) of role type named mdia_d_type
% 0.38/0.96 Using role type
% 0.38/0.96 Declaring mdia_d:((fofType->Prop)->(fofType->Prop))
% 0.38/0.96 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))) of role definition named mdia_d
% 0.38/0.96 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))))
% 0.38/0.96 Defined: mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))
% 0.38/0.96 FOF formula (mserial rel_d) of role axiom named a1
% 0.38/0.96 A new axiom: (mserial rel_d)
% 0.38/0.96 Parameter mu_DUMMY:mu.
% 0.38/0.96 Parameter fofType_DUMMY:fofType.
% 0.38/0.96 We need to prove []
% 0.38/0.96 Parameter mu:Type.
% 0.38/0.96 Parameter fofType:Type.
% 0.38/0.96 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.38/0.96 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.96 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.38/0.96 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.96 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.96 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.96 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.96 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.96 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.96 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.38/0.96 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.38/0.96 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.38/0.96 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)).
% 0.38/0.96 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.38/0.96 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.38/0.96 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))).
% 0.38/0.96 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.96 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.38/0.96 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.38/0.96 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.38/0.96 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).
% 0.38/0.96 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).
% 0.38/0.96 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).
% 0.38/0.96 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).
% 0.38/0.96 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).
% 0.38/0.96 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 0.38/0.96 Definition mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))):((fofType->(fofType->Prop))->Prop).
% 0.38/0.96 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 0.38/0.98 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 0.38/0.98 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 0.38/0.98 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 0.38/0.98 Parameter rel_d:(fofType->(fofType->Prop)).
% 0.38/0.98 Definition mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 0.38/0.98 Definition mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 0.38/0.98 Axiom a1:(mserial rel_d).
% 0.38/0.98 There are no conjectures!
% 0.38/0.98 Adding conjecture False, to look for Unsatisfiability
% 0.38/0.98 Trying to prove False
% 0.38/0.98 % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------