TSTP Solution File: LCL930^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : LCL930^1 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n032.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 10:06:34 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 : LCL930^1 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.22 % Computer : n032.star.cs.uiowa.edu
% 0.03/0.22 % Model : x86_64 x86_64
% 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22 % Memory : 16091.75MB
% 0.03/0.22 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.22 % CPULimit : 300
% 0.03/0.22 % DateTime : Fri Mar 25 13:41:58 CDT 2016
% 0.03/0.22 % CPUTime :
% 0.06/0.24 Python 2.7.8
% 0.08/0.50 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.08/0.50 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL017^0.ax, trying next directory
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b8d1d55e2d8>, <kernel.Type object at 0x2b8d1d55e290>) of role type named mu_type
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring mu:Type
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b8d1d55e4d0>, <kernel.DependentProduct object at 0x2b8d1d55e440>) of role type named meq_ind_type
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.08/0.50 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
% 0.08/0.50 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.08/0.50 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b8d1d55e1b8>, <kernel.DependentProduct object at 0x2b8d1d55e0e0>) of role type named mtrue_type
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring mtrue:(fofType->Prop)
% 0.08/0.50 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.08/0.50 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.08/0.50 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b8d1d55e0e0>, <kernel.DependentProduct object at 0x2b8d1d55e320>) of role type named mfalse_type
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring mfalse:(fofType->Prop)
% 0.08/0.50 FOF formula (((eq (fofType->Prop)) mfalse) (fun (W:fofType)=> False)) of role definition named mfalse
% 0.08/0.50 A new definition: (((eq (fofType->Prop)) mfalse) (fun (W:fofType)=> False))
% 0.08/0.50 Defined: mfalse:=(fun (W:fofType)=> False)
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b8d1d55e320>, <kernel.DependentProduct object at 0x2b8d1d55e290>) of role type named mnot_type
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.08/0.50 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.08/0.50 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.08/0.50 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b8d1d55e290>, <kernel.DependentProduct object at 0x2b8d1d55e128>) of role type named mor_type
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.08/0.50 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
% 0.08/0.50 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))))
% 0.08/0.50 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b8d1d560d40>, <kernel.DependentProduct object at 0x2b8d1d560a70>) of role type named mand_type
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.08/0.50 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((and (Phi W)) (Psi W)))) of role definition named mand
% 0.08/0.50 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((and (Phi W)) (Psi W))))
% 0.08/0.50 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((and (Phi W)) (Psi W)))
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b8d1d560830>, <kernel.DependentProduct object at 0x2b8d1d55e128>) of role type named mimplies_type
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.08/0.50 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Phi W)->(Psi W)))) of role definition named mimplies
% 0.08/0.50 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Phi W)->(Psi W))))
% 0.08/0.52 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Phi W)->(Psi W)))
% 0.08/0.52 FOF formula (<kernel.Constant object at 0x2b8d1d560830>, <kernel.DependentProduct object at 0x2b8d1d55e3b0>) of role type named mimplied_type
% 0.08/0.52 Using role type
% 0.08/0.52 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.08/0.52 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Psi W)->(Phi W)))) of role definition named mimplied
% 0.08/0.52 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Psi W)->(Phi W))))
% 0.08/0.52 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Psi W)->(Phi W)))
% 0.08/0.52 FOF formula (<kernel.Constant object at 0x2b8d1d560830>, <kernel.DependentProduct object at 0x2b8d1d55e320>) of role type named mequiv_type
% 0.08/0.52 Using role type
% 0.08/0.52 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.08/0.52 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((iff (Phi W)) (Psi W)))) of role definition named mequiv
% 0.08/0.52 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((iff (Phi W)) (Psi W))))
% 0.08/0.52 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((iff (Phi W)) (Psi W)))
% 0.08/0.52 FOF formula (<kernel.Constant object at 0x2b8d1d55e320>, <kernel.DependentProduct object at 0x2b8d1d55e0e0>) of role type named mxor_type
% 0.08/0.52 Using role type
% 0.08/0.52 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.08/0.52 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or ((and (Phi W)) ((Psi W)->False))) ((and ((Phi W)->False)) (Psi W))))) of role definition named mxor
% 0.08/0.52 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or ((and (Phi W)) ((Psi W)->False))) ((and ((Phi W)->False)) (Psi W)))))
% 0.08/0.52 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or ((and (Phi W)) ((Psi W)->False))) ((and ((Phi W)->False)) (Psi W))))
% 0.08/0.52 FOF formula (<kernel.Constant object at 0x2b8d156345f0>, <kernel.DependentProduct object at 0x2b8d15634170>) of role type named mforall_ind_type
% 0.08/0.52 Using role type
% 0.08/0.52 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.08/0.52 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
% 0.08/0.52 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.08/0.52 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.08/0.52 FOF formula (<kernel.Constant object at 0x2b8d15634290>, <kernel.DependentProduct object at 0x2b8d1d55e4d0>) of role type named mforall_indset_type
% 0.08/0.52 Using role type
% 0.08/0.52 Declaring mforall_indset:(((mu->(fofType->Prop))->(fofType->Prop))->(fofType->Prop))
% 0.08/0.52 FOF formula (((eq (((mu->(fofType->Prop))->(fofType->Prop))->(fofType->Prop))) mforall_indset) (fun (Phi:((mu->(fofType->Prop))->(fofType->Prop))) (W:fofType)=> (forall (X:(mu->(fofType->Prop))), ((Phi X) W)))) of role definition named mforall_indset
% 0.08/0.52 A new definition: (((eq (((mu->(fofType->Prop))->(fofType->Prop))->(fofType->Prop))) mforall_indset) (fun (Phi:((mu->(fofType->Prop))->(fofType->Prop))) (W:fofType)=> (forall (X:(mu->(fofType->Prop))), ((Phi X) W))))
% 0.08/0.52 Defined: mforall_indset:=(fun (Phi:((mu->(fofType->Prop))->(fofType->Prop))) (W:fofType)=> (forall (X:(mu->(fofType->Prop))), ((Phi X) W)))
% 0.08/0.52 FOF formula (<kernel.Constant object at 0x2b8d156345f0>, <kernel.DependentProduct object at 0x2b8d1d55e128>) of role type named mforall_prop_type
% 0.08/0.53 Using role type
% 0.08/0.53 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.08/0.53 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
% 0.08/0.53 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))))
% 0.08/0.53 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.08/0.53 FOF formula (<kernel.Constant object at 0x2b8d15634440>, <kernel.DependentProduct object at 0x2b8d1d55ecf8>) of role type named mexists_ind_type
% 0.08/0.53 Using role type
% 0.08/0.53 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.08/0.53 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> ((ex mu) (fun (X:mu)=> ((Phi X) W))))) of role definition named mexists_ind
% 0.08/0.53 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> ((ex mu) (fun (X:mu)=> ((Phi X) W)))))
% 0.08/0.53 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> ((ex mu) (fun (X:mu)=> ((Phi X) W))))
% 0.08/0.53 FOF formula (<kernel.Constant object at 0x2b8d1d55eb90>, <kernel.DependentProduct object at 0x2b8d1d55e320>) of role type named mexists_indset_type
% 0.08/0.53 Using role type
% 0.08/0.53 Declaring mexists_indset:(((mu->(fofType->Prop))->(fofType->Prop))->(fofType->Prop))
% 0.08/0.53 FOF formula (((eq (((mu->(fofType->Prop))->(fofType->Prop))->(fofType->Prop))) mexists_indset) (fun (Phi:((mu->(fofType->Prop))->(fofType->Prop))) (W:fofType)=> ((ex (mu->(fofType->Prop))) (fun (X:(mu->(fofType->Prop)))=> ((Phi X) W))))) of role definition named mexists_indset
% 0.08/0.53 A new definition: (((eq (((mu->(fofType->Prop))->(fofType->Prop))->(fofType->Prop))) mexists_indset) (fun (Phi:((mu->(fofType->Prop))->(fofType->Prop))) (W:fofType)=> ((ex (mu->(fofType->Prop))) (fun (X:(mu->(fofType->Prop)))=> ((Phi X) W)))))
% 0.08/0.53 Defined: mexists_indset:=(fun (Phi:((mu->(fofType->Prop))->(fofType->Prop))) (W:fofType)=> ((ex (mu->(fofType->Prop))) (fun (X:(mu->(fofType->Prop)))=> ((Phi X) W))))
% 0.08/0.53 FOF formula (<kernel.Constant object at 0x2b8d1d55e3b0>, <kernel.DependentProduct object at 0x2b8d1d564a70>) of role type named mexists_prop_type
% 0.08/0.53 Using role type
% 0.08/0.53 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.08/0.53 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> ((ex (fofType->Prop)) (fun (P:(fofType->Prop))=> ((Phi P) W))))) of role definition named mexists_prop
% 0.08/0.53 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> ((ex (fofType->Prop)) (fun (P:(fofType->Prop))=> ((Phi P) W)))))
% 0.08/0.53 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> ((ex (fofType->Prop)) (fun (P:(fofType->Prop))=> ((Phi P) W))))
% 0.08/0.53 FOF formula (<kernel.Constant object at 0x2b8d1d55eb90>, <kernel.DependentProduct object at 0x2b8d1d5643b0>) of role type named mbox_type
% 0.08/0.53 Using role type
% 0.08/0.53 Declaring mbox:((fofType->Prop)->(fofType->Prop))
% 0.08/0.53 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), (Phi V)))) of role definition named mbox
% 0.08/0.53 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), (Phi V))))
% 0.08/0.53 Defined: mbox:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), (Phi V)))
% 0.08/0.53 FOF formula (<kernel.Constant object at 0x2b8d1d55e320>, <kernel.DependentProduct object at 0x2b8d1d564200>) of role type named mdia_type
% 0.08/0.53 Using role type
% 0.08/0.53 Declaring mdia:((fofType->Prop)->(fofType->Prop))
% 0.08/0.53 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((ex fofType) (fun (V:fofType)=> (Phi V))))) of role definition named mdia
% 0.08/0.53 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((ex fofType) (fun (V:fofType)=> (Phi V)))))
% 0.08/0.53 Defined: mdia:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((ex fofType) (fun (V:fofType)=> (Phi V))))
% 0.08/0.53 FOF formula (<kernel.Constant object at 0x2b8d1d564b90>, <kernel.DependentProduct object at 0x2b8d1d564a70>) of role type named mvalid_type
% 0.08/0.53 Using role type
% 0.08/0.53 Declaring mvalid:((fofType->Prop)->Prop)
% 0.08/0.53 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.08/0.53 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.08/0.53 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.08/0.53 FOF formula (<kernel.Constant object at 0x2b8d1d564170>, <kernel.DependentProduct object at 0x2b8d1d572518>) of role type named minvalid_type
% 0.08/0.53 Using role type
% 0.08/0.53 Declaring minvalid:((fofType->Prop)->Prop)
% 0.08/0.53 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.08/0.53 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.08/0.53 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.08/0.53 Parameter mu_DUMMY:mu.
% 0.08/0.53 Parameter fofType_DUMMY:fofType.
% 0.08/0.53 We need to prove []
% 0.08/0.53 Parameter mu:Type.
% 0.08/0.53 Parameter fofType:Type.
% 0.08/0.53 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.08/0.53 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.08/0.53 Definition mfalse:=(fun (W:fofType)=> False):(fofType->Prop).
% 0.08/0.53 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.08/0.53 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.08/0.53 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((and (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.08/0.53 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Phi W)->(Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.08/0.53 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Psi W)->(Phi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.08/0.53 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((iff (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.08/0.53 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or ((and (Phi W)) ((Psi W)->False))) ((and ((Phi W)->False)) (Psi W)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.08/0.53 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.08/0.53 Definition mforall_indset:=(fun (Phi:((mu->(fofType->Prop))->(fofType->Prop))) (W:fofType)=> (forall (X:(mu->(fofType->Prop))), ((Phi X) W))):(((mu->(fofType->Prop))->(fofType->Prop))->(fofType->Prop)).
% 0.08/0.53 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.08/0.53 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> ((ex mu) (fun (X:mu)=> ((Phi X) W)))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.08/0.53 Definition mexists_indset:=(fun (Phi:((mu->(fofType->Prop))->(fofType->Prop))) (W:fofType)=> ((ex (mu->(fofType->Prop))) (fun (X:(mu->(fofType->Prop)))=> ((Phi X) W)))):(((mu->(fofType->Prop))->(fofType->Prop))->(fofType->Prop)).
% 0.08/0.53 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> ((ex (fofType->Prop)) (fun (P:(fofType->Prop))=> ((Phi P) W)))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.08/0.53 Definition mbox:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), (Phi V))):((fofType->Prop)->(fofType->Prop)).
% 0.38/0.55 Definition mdia:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((ex fofType) (fun (V:fofType)=> (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 0.38/0.55 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 0.38/0.55 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 0.38/0.55 There are no conjectures!
% 0.38/0.55 Adding conjecture False, to look for Unsatisfiability
% 0.38/0.55 Trying to prove False
% 0.38/0.55 % SZS status GaveUp for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------