TSTP Solution File: SWV426^2 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SWV426^2 : TPTP v6.1.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n115.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 13:35:57 EDT 2014
% Result : Unknown 79.98s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SWV426^2 : TPTP v6.1.0. Released v3.6.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n115.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 09:52:46 CDT 2014
% % CPUTime : 79.98
% 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/LCL008^0.ax, trying next directory
% FOF formula (<kernel.Constant object at 0x2655c68>, <kernel.Constant object at 0x2655cf8>) of role type named current_world
% Using role type
% Declaring current_world:fofType
% FOF formula (<kernel.Constant object at 0x2655c68>, <kernel.DependentProduct object at 0x2473ef0>) of role type named prop_a
% Using role type
% Declaring prop_a:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x26553f8>, <kernel.DependentProduct object at 0x2473d40>) of role type named prop_b
% Using role type
% Declaring prop_b:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x2655c68>, <kernel.DependentProduct object at 0x2473dd0>) of role type named prop_c
% Using role type
% Declaring prop_c:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x2473dd0>, <kernel.DependentProduct object at 0x2473a70>) of role type named mfalse_decl
% Using role type
% Declaring mfalse:(fofType->Prop)
% FOF formula (((eq (fofType->Prop)) mfalse) (fun (X:fofType)=> False)) of role definition named mfalse
% A new definition: (((eq (fofType->Prop)) mfalse) (fun (X:fofType)=> False))
% Defined: mfalse:=(fun (X:fofType)=> False)
% FOF formula (<kernel.Constant object at 0x2473b00>, <kernel.DependentProduct object at 0x2473a70>) of role type named mtrue_decl
% Using role type
% Declaring mtrue:(fofType->Prop)
% FOF formula (((eq (fofType->Prop)) mtrue) (fun (X:fofType)=> True)) of role definition named mtrue
% A new definition: (((eq (fofType->Prop)) mtrue) (fun (X:fofType)=> True))
% Defined: mtrue:=(fun (X:fofType)=> True)
% FOF formula (<kernel.Constant object at 0x2473f80>, <kernel.DependentProduct object at 0x24735f0>) of role type named mnot_decl
% Using role type
% Declaring mnot:((fofType->Prop)->(fofType->Prop))
% FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))) of role definition named mnot
% A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)))
% Defined: mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))
% FOF formula (<kernel.Constant object at 0x2473b00>, <kernel.DependentProduct object at 0x24733b0>) of role type named mor_decl
% Using role type
% Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U)))) of role definition named mor
% A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))))
% Defined: mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U)))
% FOF formula (<kernel.Constant object at 0x24735f0>, <kernel.DependentProduct object at 0x2473ea8>) of role type named mand_decl
% Using role type
% Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U)))) of role definition named mand
% A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U))))
% Defined: mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U)))
% FOF formula (<kernel.Constant object at 0x233b758>, <kernel.DependentProduct object at 0x24734d0>) of role type named mimpl_decl
% Using role type
% Declaring mimpl:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimpl) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V))) of role definition named mimpl
% A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimpl) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)))
% Defined: mimpl:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V))
% FOF formula (<kernel.Constant object at 0x24734d0>, <kernel.DependentProduct object at 0x2473f80>) of role type named miff_decl
% Using role type
% Declaring miff:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) miff) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mand ((mimpl U) V)) ((mimpl V) U)))) of role definition named miff
% A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) miff) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mand ((mimpl U) V)) ((mimpl V) U))))
% Defined: miff:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mand ((mimpl U) V)) ((mimpl V) U)))
% FOF formula (<kernel.Constant object at 0x2473680>, <kernel.DependentProduct object at 0x2473ea8>) of role type named mbox_decl
% 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))) (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((R X) Y)->(P Y))))) of role definition named mbox
% A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((R X) Y)->(P Y)))))
% Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((R X) Y)->(P Y))))
% FOF formula (<kernel.Constant object at 0x24734d0>, <kernel.DependentProduct object at 0x2469680>) of role type named mdia_decl
% 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))) (P:(fofType->Prop)) (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((and ((R X) Y)) (P Y)))))) of role definition named mdia
% A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (P:(fofType->Prop)) (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((and ((R X) Y)) (P Y))))))
% Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (P:(fofType->Prop)) (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((and ((R X) Y)) (P Y)))))
% FOF formula (<kernel.Constant object at 0x2473ea8>, <kernel.Type object at 0x2469320>) of role type named individuals_decl
% Using role type
% Declaring individuals:Type
% FOF formula (<kernel.Constant object at 0x24696c8>, <kernel.DependentProduct object at 0x2469248>) of role type named mall_decl
% Using role type
% Declaring mall:((individuals->(fofType->Prop))->(fofType->Prop))
% FOF formula (((eq ((individuals->(fofType->Prop))->(fofType->Prop))) mall) (fun (P:(individuals->(fofType->Prop))) (W:fofType)=> (forall (X:individuals), ((P X) W)))) of role definition named mall
% A new definition: (((eq ((individuals->(fofType->Prop))->(fofType->Prop))) mall) (fun (P:(individuals->(fofType->Prop))) (W:fofType)=> (forall (X:individuals), ((P X) W))))
% Defined: mall:=(fun (P:(individuals->(fofType->Prop))) (W:fofType)=> (forall (X:individuals), ((P X) W)))
% FOF formula (<kernel.Constant object at 0x2469878>, <kernel.DependentProduct object at 0x2469680>) of role type named mexists_decl
% Using role type
% Declaring mexists:((individuals->(fofType->Prop))->(fofType->Prop))
% FOF formula (((eq ((individuals->(fofType->Prop))->(fofType->Prop))) mexists) (fun (P:(individuals->(fofType->Prop))) (W:fofType)=> ((ex individuals) (fun (X:individuals)=> ((P X) W))))) of role definition named mexists
% A new definition: (((eq ((individuals->(fofType->Prop))->(fofType->Prop))) mexists) (fun (P:(individuals->(fofType->Prop))) (W:fofType)=> ((ex individuals) (fun (X:individuals)=> ((P X) W)))))
% Defined: mexists:=(fun (P:(individuals->(fofType->Prop))) (W:fofType)=> ((ex individuals) (fun (X:individuals)=> ((P X) W))))
% FOF formula (<kernel.Constant object at 0x24696c8>, <kernel.DependentProduct object at 0x24695a8>) of role type named mvalid_decl
% Using role type
% Declaring mvalid:((fofType->Prop)->Prop)
% FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (P:(fofType->Prop))=> (forall (W:fofType), (P W)))) of role definition named mvalid
% A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (P:(fofType->Prop))=> (forall (W:fofType), (P W))))
% Defined: mvalid:=(fun (P:(fofType->Prop))=> (forall (W:fofType), (P W)))
% FOF formula (<kernel.Constant object at 0x2469878>, <kernel.DependentProduct object at 0x2469098>) of role type named msatisfiable_decl
% Using role type
% Declaring msatisfiable:((fofType->Prop)->Prop)
% FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (P W))))) of role definition named msatisfiable
% A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (P W)))))
% Defined: msatisfiable:=(fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (P W))))
% FOF formula (<kernel.Constant object at 0x24696c8>, <kernel.DependentProduct object at 0x2469638>) of role type named mcountersatisfiable_decl
% Using role type
% Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((P W)->False))))) of role definition named mcountersatisfiable
% A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((P W)->False)))))
% Defined: mcountersatisfiable:=(fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((P W)->False))))
% FOF formula (<kernel.Constant object at 0x2469878>, <kernel.DependentProduct object at 0x2469b00>) of role type named minvalid_decl
% Using role type
% Declaring minvalid:((fofType->Prop)->Prop)
% FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (P:(fofType->Prop))=> (forall (W:fofType), ((P W)->False)))) of role definition named minvalid
% A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (P:(fofType->Prop))=> (forall (W:fofType), ((P W)->False))))
% Defined: minvalid:=(fun (P:(fofType->Prop))=> (forall (W:fofType), ((P W)->False)))
% Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/SWV008^0.ax, trying next directory
% FOF formula (<kernel.Constant object at 0x2655d88>, <kernel.DependentProduct object at 0x2656b00>) of role type named rel_type
% Using role type
% Declaring rel:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x26569e0>, <kernel.DependentProduct object at 0x233ba28>) of role type named icl_atom_type
% Using role type
% Declaring icl_atom:((fofType->Prop)->(fofType->Prop))
% FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) icl_atom) (fun (P:(fofType->Prop))=> ((mbox rel) P))) of role definition named icl_atom
% A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) icl_atom) (fun (P:(fofType->Prop))=> ((mbox rel) P)))
% Defined: icl_atom:=(fun (P:(fofType->Prop))=> ((mbox rel) P))
% FOF formula (<kernel.Constant object at 0x233b128>, <kernel.DependentProduct object at 0x26569e0>) of role type named icl_princ_type
% Using role type
% Declaring icl_princ:((fofType->Prop)->(fofType->Prop))
% FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) icl_princ) (fun (P:(fofType->Prop))=> P)) of role definition named icl_princ
% A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) icl_princ) (fun (P:(fofType->Prop))=> P))
% Defined: icl_princ:=(fun (P:(fofType->Prop))=> P)
% FOF formula (<kernel.Constant object at 0x26565f0>, <kernel.DependentProduct object at 0x2473d40>) of role type named icl_and_type
% Using role type
% Declaring icl_and:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) icl_and) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mand A) B))) of role definition named icl_and
% A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) icl_and) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mand A) B)))
% Defined: icl_and:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mand A) B))
% FOF formula (<kernel.Constant object at 0x26569e0>, <kernel.DependentProduct object at 0x24733f8>) of role type named icl_or_type
% Using role type
% Declaring icl_or:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) icl_or) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mor A) B))) of role definition named icl_or
% A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) icl_or) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mor A) B)))
% Defined: icl_or:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mor A) B))
% FOF formula (<kernel.Constant object at 0x24737a0>, <kernel.DependentProduct object at 0x2473488>) of role type named icl_impl_type
% Using role type
% Declaring icl_impl:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) icl_impl) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mbox rel) ((mimpl A) B)))) of role definition named icl_impl
% A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) icl_impl) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mbox rel) ((mimpl A) B))))
% Defined: icl_impl:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mbox rel) ((mimpl A) B)))
% FOF formula (<kernel.Constant object at 0x24733f8>, <kernel.DependentProduct object at 0x2473b90>) of role type named icl_true_type
% Using role type
% Declaring icl_true:(fofType->Prop)
% FOF formula (((eq (fofType->Prop)) icl_true) mtrue) of role definition named icl_true
% A new definition: (((eq (fofType->Prop)) icl_true) mtrue)
% Defined: icl_true:=mtrue
% FOF formula (<kernel.Constant object at 0x24737a0>, <kernel.DependentProduct object at 0x2473680>) of role type named icl_false_type
% Using role type
% Declaring icl_false:(fofType->Prop)
% FOF formula (((eq (fofType->Prop)) icl_false) mfalse) of role definition named icl_false
% A new definition: (((eq (fofType->Prop)) icl_false) mfalse)
% Defined: icl_false:=mfalse
% FOF formula (<kernel.Constant object at 0x24733f8>, <kernel.DependentProduct object at 0x24733b0>) of role type named icl_says_type
% Using role type
% Declaring icl_says:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) icl_says) (fun (A:(fofType->Prop)) (S:(fofType->Prop))=> ((mbox rel) ((mor A) S)))) of role definition named icl_says
% A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) icl_says) (fun (A:(fofType->Prop)) (S:(fofType->Prop))=> ((mbox rel) ((mor A) S))))
% Defined: icl_says:=(fun (A:(fofType->Prop)) (S:(fofType->Prop))=> ((mbox rel) ((mor A) S)))
% FOF formula (<kernel.Constant object at 0x24737a0>, <kernel.DependentProduct object at 0x2473710>) of role type named iclval_decl_type
% Using role type
% Declaring iclval:((fofType->Prop)->Prop)
% FOF formula (((eq ((fofType->Prop)->Prop)) iclval) (fun (X:(fofType->Prop))=> (mvalid X))) of role definition named icl_s4_valid
% A new definition: (((eq ((fofType->Prop)->Prop)) iclval) (fun (X:(fofType->Prop))=> (mvalid X)))
% Defined: iclval:=(fun (X:(fofType->Prop))=> (mvalid X))
% Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/SWV008^1.ax, trying next directory
% FOF formula (forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox rel) A)) A))) of role axiom named refl_axiom
% A new axiom: (forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox rel) A)) A)))
% FOF formula (forall (B:(fofType->Prop)), (mvalid ((mimpl ((mbox rel) B)) ((mbox rel) ((mbox rel) B))))) of role axiom named trans_axiom
% A new axiom: (forall (B:(fofType->Prop)), (mvalid ((mimpl ((mbox rel) B)) ((mbox rel) ((mbox rel) B)))))
% FOF formula (<kernel.Constant object at 0x2458fc8>, <kernel.DependentProduct object at 0x2458368>) of role type named s
% Using role type
% Declaring s:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x2458560>, <kernel.DependentProduct object at 0x2458488>) of role type named t
% Using role type
% Declaring t:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x24584d0>, <kernel.DependentProduct object at 0x2458dd0>) of role type named a
% Using role type
% Declaring a:(fofType->Prop)
% FOF formula (iclval ((icl_impl ((icl_says (icl_princ a)) ((icl_impl (icl_atom s)) (icl_atom t)))) ((icl_impl ((icl_says (icl_princ a)) (icl_atom s))) ((icl_says (icl_princ a)) (icl_atom t))))) of role conjecture named cuc
% Conjecture to prove = (iclval ((icl_impl ((icl_says (icl_princ a)) ((icl_impl (icl_atom s)) (icl_atom t)))) ((icl_impl ((icl_says (icl_princ a)) (icl_atom s))) ((icl_says (icl_princ a)) (icl_atom t))))):Prop
% Parameter individuals_DUMMY:individuals.
% We need to prove ['(iclval ((icl_impl ((icl_says (icl_princ a)) ((icl_impl (icl_atom s)) (icl_atom t)))) ((icl_impl ((icl_says (icl_princ a)) (icl_atom s))) ((icl_says (icl_princ a)) (icl_atom t)))))']
% Parameter fofType:Type.
% Parameter current_world:fofType.
% Parameter prop_a:(fofType->Prop).
% Parameter prop_b:(fofType->Prop).
% Parameter prop_c:(fofType->Prop).
% Definition mfalse:=(fun (X:fofType)=> False):(fofType->Prop).
% Definition mtrue:=(fun (X:fofType)=> True):(fofType->Prop).
% Definition mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)):((fofType->Prop)->(fofType->Prop)).
% Definition mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition mimpl:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition miff:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mand ((mimpl U) V)) ((mimpl V) U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((R X) Y)->(P Y)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (P:(fofType->Prop)) (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((and ((R X) Y)) (P Y))))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% Parameter individuals:Type.
% Definition mall:=(fun (P:(individuals->(fofType->Prop))) (W:fofType)=> (forall (X:individuals), ((P X) W))):((individuals->(fofType->Prop))->(fofType->Prop)).
% Definition mexists:=(fun (P:(individuals->(fofType->Prop))) (W:fofType)=> ((ex individuals) (fun (X:individuals)=> ((P X) W)))):((individuals->(fofType->Prop))->(fofType->Prop)).
% Definition mvalid:=(fun (P:(fofType->Prop))=> (forall (W:fofType), (P W))):((fofType->Prop)->Prop).
% Definition msatisfiable:=(fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (P W)))):((fofType->Prop)->Prop).
% Definition mcountersatisfiable:=(fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((P W)->False)))):((fofType->Prop)->Prop).
% Definition minvalid:=(fun (P:(fofType->Prop))=> (forall (W:fofType), ((P W)->False))):((fofType->Prop)->Prop).
% Parameter rel:(fofType->(fofType->Prop)).
% Definition icl_atom:=(fun (P:(fofType->Prop))=> ((mbox rel) P)):((fofType->Prop)->(fofType->Prop)).
% Definition icl_princ:=(fun (P:(fofType->Prop))=> P):((fofType->Prop)->(fofType->Prop)).
% Definition icl_and:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mand A) B)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition icl_or:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mor A) B)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition icl_impl:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mbox rel) ((mimpl A) B))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition icl_true:=mtrue:(fofType->Prop).
% Definition icl_false:=mfalse:(fofType->Prop).
% Definition icl_says:=(fun (A:(fofType->Prop)) (S:(fofType->Prop))=> ((mbox rel) ((mor A) S))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% Definition iclval:=(fun (X:(fofType->Prop))=> (mvalid X)):((fofType->Prop)->Prop).
% Axiom refl_axiom:(forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox rel) A)) A))).
% Axiom trans_axiom:(forall (B:(fofType->Prop)), (mvalid ((mimpl ((mbox rel) B)) ((mbox rel) ((mbox rel) B))))).
% Parameter s:(fofType->Prop).
% Parameter t:(fofType->Prop).
% Parameter a:(fofType->Prop).
% Trying to prove (iclval ((icl_impl ((icl_says (icl_princ a)) ((icl_impl (icl_atom s)) (icl_atom t)))) ((icl_impl ((icl_says (icl_princ a)) (icl_atom s))) ((icl_says (icl_princ a)) (icl_atom t)))))
% % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------