TSTP Solution File: PHI043^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : PHI043^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% DateTime : Sun Mar 21 15:03:41 EDT 2021
% Result : Unknown 2.15s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : PHI043^1 : TPTP v7.5.0. Released v7.5.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Mar 19 11:29:14 EDT 2021
% 0.12/0.34 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.35 Python 2.7.5
% 0.38/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.38/0.62 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL016^0.ax, trying next directory
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2b8a7325b7a0>, <kernel.Type object at 0x2b8a7325b638>) of role type named mu_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mu:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2b8a7325b878>, <kernel.DependentProduct object at 0x2b8a7325b7e8>) of role type named meq_ind_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.38/0.62 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.38/0.62 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2b8a7325b5f0>, <kernel.DependentProduct object at 0x2b8a7325b518>) of role type named mtrue_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mtrue:(fofType->Prop)
% 0.38/0.62 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.38/0.62 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.38/0.62 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2b8a7325b518>, <kernel.DependentProduct object at 0x2b8a7325b6c8>) of role type named mfalse_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mfalse:(fofType->Prop)
% 0.38/0.62 FOF formula (((eq (fofType->Prop)) mfalse) (fun (W:fofType)=> False)) of role definition named mfalse
% 0.38/0.62 A new definition: (((eq (fofType->Prop)) mfalse) (fun (W:fofType)=> False))
% 0.38/0.62 Defined: mfalse:=(fun (W:fofType)=> False)
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2b8a7325b6c8>, <kernel.DependentProduct object at 0x2b8a7325b2d8>) of role type named mnot_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.38/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.38/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.38/0.62 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2b8a7ad2cc20>, <kernel.DependentProduct object at 0x2b8a7325b638>) of role type named mor_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.38/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.38/0.62 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2b8a7325b638>, <kernel.DependentProduct object at 0x2b8a7325b5f0>) of role type named mand_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((and (Phi W)) (Psi W)))) of role definition named mand
% 0.38/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((and (Phi W)) (Psi W))))
% 0.38/0.62 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((and (Phi W)) (Psi W)))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2b8a7325b5f0>, <kernel.DependentProduct object at 0x2b8a7325b290>) of role type named mimplies_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Phi W)->(Psi W)))) of role definition named mimplies
% 0.38/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Phi W)->(Psi W))))
% 0.48/0.63 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Phi W)->(Psi W)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b8a732333b0>, <kernel.DependentProduct object at 0x2b8a7325b170>) of role type named mimplied_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.63 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
% 0.48/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Psi W)->(Phi W))))
% 0.48/0.63 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Psi W)->(Phi W)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xcd4c68>, <kernel.DependentProduct object at 0x2b8a7325b7a0>) of role type named mequiv_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.63 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
% 0.48/0.63 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))))
% 0.48/0.63 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((iff (Phi W)) (Psi W)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b8a7325b200>, <kernel.DependentProduct object at 0x2b8a7325b3b0>) of role type named mxor_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.63 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
% 0.48/0.63 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)))))
% 0.48/0.63 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or ((and (Phi W)) ((Psi W)->False))) ((and ((Phi W)->False)) (Psi W))))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b8a7325b098>, <kernel.DependentProduct object at 0x2b8a7325b518>) of role type named mforall_ind_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.48/0.63 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.48/0.63 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.48/0.63 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xcd4c68>, <kernel.DependentProduct object at 0x2b8a7325b200>) of role type named mforall_indset_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mforall_indset:(((mu->(fofType->Prop))->(fofType->Prop))->(fofType->Prop))
% 0.48/0.63 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
% 0.48/0.63 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))))
% 0.48/0.63 Defined: mforall_indset:=(fun (Phi:((mu->(fofType->Prop))->(fofType->Prop))) (W:fofType)=> (forall (X:(mu->(fofType->Prop))), ((Phi X) W)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b8a7325b170>, <kernel.DependentProduct object at 0x2b8a7325b5f0>) of role type named mforall_prop_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.48/0.64 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
% 0.48/0.64 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))))
% 0.48/0.64 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b8a7325b200>, <kernel.DependentProduct object at 0x2b8a7325b098>) of role type named mexists_ind_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.48/0.64 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
% 0.48/0.64 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)))))
% 0.48/0.64 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> ((ex mu) (fun (X:mu)=> ((Phi X) W))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b8a7325b170>, <kernel.DependentProduct object at 0xcdd3b0>) of role type named mexists_indset_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mexists_indset:(((mu->(fofType->Prop))->(fofType->Prop))->(fofType->Prop))
% 0.48/0.64 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
% 0.48/0.64 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)))))
% 0.48/0.64 Defined: mexists_indset:=(fun (Phi:((mu->(fofType->Prop))->(fofType->Prop))) (W:fofType)=> ((ex (mu->(fofType->Prop))) (fun (X:(mu->(fofType->Prop)))=> ((Phi X) W))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b8a7325b320>, <kernel.DependentProduct object at 0xcdd7e8>) of role type named mexists_prop_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.48/0.64 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
% 0.48/0.64 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)))))
% 0.48/0.64 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> ((ex (fofType->Prop)) (fun (P:(fofType->Prop))=> ((Phi P) W))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xcdd758>, <kernel.DependentProduct object at 0xcdd830>) of role type named mbox_generic_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mbox_generic:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox_generic) (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_generic
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox_generic) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.48/0.64 Defined: mbox_generic:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0xcdd5f0>, <kernel.DependentProduct object at 0xcdd3b0>) of role type named mdia_generic_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mdia_generic:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia_generic) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> ((ex fofType) (fun (V:fofType)=> ((and ((R W) V)) (Phi V)))))) of role definition named mdia_generic
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia_generic) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> ((ex fofType) (fun (V:fofType)=> ((and ((R W) V)) (Phi V))))))
% 0.48/0.65 Defined: mdia_generic:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> ((ex fofType) (fun (V:fofType)=> ((and ((R W) V)) (Phi V)))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0xcdd3b0>, <kernel.DependentProduct object at 0x2b8a73259128>) of role type named rel_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring rel:(fofType->(fofType->Prop))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b8a732594d0>, <kernel.DependentProduct object at 0x2b8a73259170>) of role type named mbox_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mbox:((fofType->Prop)->(fofType->Prop))
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox) (mbox_generic rel)) of role definition named mbox
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox) (mbox_generic rel))
% 0.48/0.65 Defined: mbox:=(mbox_generic rel)
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b8a732594d0>, <kernel.DependentProduct object at 0x2b8a73259170>) of role type named mdia_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mdia:((fofType->Prop)->(fofType->Prop))
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia) (mdia_generic rel)) of role definition named mdia
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia) (mdia_generic rel))
% 0.48/0.65 Defined: mdia:=(mdia_generic rel)
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b8a732595a8>, <kernel.DependentProduct object at 0x2b8a73259050>) of role type named mvalid_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mvalid:((fofType->Prop)->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.48/0.65 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b8a732594d0>, <kernel.DependentProduct object at 0x2b8a73259440>) of role type named minvalid_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring minvalid:((fofType->Prop)->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.48/0.65 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0xcda3f8>, <kernel.DependentProduct object at 0x2b8a7ad2eef0>) of role type named p_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring p:((mu->(fofType->Prop))->(fofType->Prop))
% 0.48/0.65 FOF formula (mvalid (mnot (p (fun (X:mu) (W:fofType)=> (not (((eq mu) X) X)))))) of role axiom named ax16
% 0.48/0.65 A new axiom: (mvalid (mnot (p (fun (X:mu) (W:fofType)=> (not (((eq mu) X) X))))))
% 0.48/0.65 FOF formula (mvalid (mforall_indset (fun (Phi:(mu->(fofType->Prop)))=> (mforall_indset (fun (Psi:(mu->(fofType->Prop)))=> ((mimplies (mbox (mforall_ind (fun (X:mu)=> ((mequiv (Phi X)) (Psi X)))))) ((mequiv (p Phi)) (p Psi)))))))) of role axiom named ax17
% 0.48/0.65 A new axiom: (mvalid (mforall_indset (fun (Phi:(mu->(fofType->Prop)))=> (mforall_indset (fun (Psi:(mu->(fofType->Prop)))=> ((mimplies (mbox (mforall_ind (fun (X:mu)=> ((mequiv (Phi X)) (Psi X)))))) ((mequiv (p Phi)) (p Psi))))))))
% 0.48/0.65 FOF formula (mvalid (mforall_indset (fun (Phi:(mu->(fofType->Prop)))=> ((mimplies (p Phi)) (mdia (mexists_ind (fun (X:mu)=> (Phi X)))))))) of role conjecture named possible_instantiation_of_the_positive
% 0.48/0.65 Conjecture to prove = (mvalid (mforall_indset (fun (Phi:(mu->(fofType->Prop)))=> ((mimplies (p Phi)) (mdia (mexists_ind (fun (X:mu)=> (Phi X)))))))):Prop
% 0.48/0.65 Parameter mu_DUMMY:mu.
% 0.48/0.65 Parameter fofType_DUMMY:fofType.
% 0.48/0.65 We need to prove ['(mvalid (mforall_indset (fun (Phi:(mu->(fofType->Prop)))=> ((mimplies (p Phi)) (mdia (mexists_ind (fun (X:mu)=> (Phi X))))))))']
% 0.48/0.65 Parameter mu:Type.
% 0.48/0.65 Parameter fofType:Type.
% 0.48/0.65 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.48/0.65 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.48/0.65 Definition mfalse:=(fun (W:fofType)=> False):(fofType->Prop).
% 0.48/0.65 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.48/0.65 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((and (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Phi W)->(Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((Psi W)->(Phi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((iff (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 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))).
% 0.48/0.65 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.65 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)).
% 0.48/0.65 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.65 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> ((ex mu) (fun (X:mu)=> ((Phi X) W)))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.65 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)).
% 0.48/0.65 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)).
% 0.48/0.65 Definition mbox_generic:=(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))).
% 0.48/0.65 Definition mdia_generic:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> ((ex fofType) (fun (V:fofType)=> ((and ((R W) V)) (Phi V))))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Parameter rel:(fofType->(fofType->Prop)).
% 0.48/0.65 Definition mbox:=(mbox_generic rel):((fofType->Prop)->(fofType->Prop)).
% 0.48/0.65 Definition mdia:=(mdia_generic rel):((fofType->Prop)->(fofType->Prop)).
% 0.48/0.65 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 0.48/0.65 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 0.48/0.65 Parameter p:((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.65 Axiom ax16:(mvalid (mnot (p (fun (X:mu) (W:fofType)=> (not (((eq mu) X) X)))))).
% 0.48/0.65 Axiom ax17:(mvalid (mforall_indset (fun (Phi:(mu->(fofType->Prop)))=> (mforall_indset (fun (Psi:(mu->(fofType->Prop)))=> ((mimplies (mbox (mforall_ind (fun (X:mu)=> ((mequiv (Phi X)) (Psi X)))))) ((mequiv (p Phi)) (p Psi)))))))).
% 2.15/2.31 Trying to prove (mvalid (mforall_indset (fun (Phi:(mu->(fofType->Prop)))=> ((mimplies (p Phi)) (mdia (mexists_ind (fun (X:mu)=> (Phi X))))))))
% 2.15/2.31 % SZS status GaveUp for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------