TSTP Solution File: LCL623^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : LCL623^1 : TPTP v7.3.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n186.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.5MB
% OS : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 13:13:01 EST 2019
% Result : Theorem 0.33s
% Output : Proof 0.33s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL623^1 : TPTP v7.3.0. Bugfixed v7.3.0.
% 0.00/0.05 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.27 % Computer : n186.star.cs.uiowa.edu
% 0.03/0.27 % Model : x86_64 x86_64
% 0.03/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.27 % Memory : 32218.5MB
% 0.03/0.27 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.27 % CPULimit : 300
% 0.03/0.27 % DateTime : Thu Feb 21 20:55:44 CST 2019
% 0.03/0.27 % CPUTime :
% 0.03/0.29 Python 2.7.13
% 0.33/0.56 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.33/0.56 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL008^0.ax, trying next directory
% 0.33/0.56 FOF formula (<kernel.Constant object at 0x2b7ecbd18cf8>, <kernel.Constant object at 0x2b7ecbd18d88>) of role type named current_world
% 0.33/0.56 Using role type
% 0.33/0.56 Declaring current_world:fofType
% 0.33/0.56 FOF formula (<kernel.Constant object at 0x2b7ecbd18cf8>, <kernel.DependentProduct object at 0x2b7ecbd18200>) of role type named prop_a
% 0.33/0.56 Using role type
% 0.33/0.56 Declaring prop_a:(fofType->Prop)
% 0.33/0.56 FOF formula (<kernel.Constant object at 0x2b7ecbd18050>, <kernel.DependentProduct object at 0x2b7ecbd18fc8>) of role type named prop_b
% 0.33/0.56 Using role type
% 0.33/0.56 Declaring prop_b:(fofType->Prop)
% 0.33/0.56 FOF formula (<kernel.Constant object at 0x2b7ecbd18d40>, <kernel.DependentProduct object at 0x2b7ecbd18f80>) of role type named prop_c
% 0.33/0.56 Using role type
% 0.33/0.56 Declaring prop_c:(fofType->Prop)
% 0.33/0.56 FOF formula (<kernel.Constant object at 0x2b7ecbd18050>, <kernel.DependentProduct object at 0x2b7ecbd20680>) of role type named mfalse_decl
% 0.33/0.56 Using role type
% 0.33/0.56 Declaring mfalse:(fofType->Prop)
% 0.33/0.56 FOF formula (((eq (fofType->Prop)) mfalse) (fun (X:fofType)=> False)) of role definition named mfalse
% 0.33/0.56 A new definition: (((eq (fofType->Prop)) mfalse) (fun (X:fofType)=> False))
% 0.33/0.56 Defined: mfalse:=(fun (X:fofType)=> False)
% 0.33/0.56 FOF formula (<kernel.Constant object at 0x2b7ecbd18200>, <kernel.DependentProduct object at 0x2b7ecbd20680>) of role type named mtrue_decl
% 0.33/0.56 Using role type
% 0.33/0.56 Declaring mtrue:(fofType->Prop)
% 0.33/0.56 FOF formula (((eq (fofType->Prop)) mtrue) (fun (X:fofType)=> True)) of role definition named mtrue
% 0.33/0.56 A new definition: (((eq (fofType->Prop)) mtrue) (fun (X:fofType)=> True))
% 0.33/0.56 Defined: mtrue:=(fun (X:fofType)=> True)
% 0.33/0.56 FOF formula (<kernel.Constant object at 0x2b7ecbd18518>, <kernel.DependentProduct object at 0x2b7ecbd20170>) of role type named mnot_decl
% 0.33/0.56 Using role type
% 0.33/0.56 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.33/0.56 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))) of role definition named mnot
% 0.33/0.56 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)))
% 0.33/0.56 Defined: mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))
% 0.33/0.56 FOF formula (<kernel.Constant object at 0x2b7ecbd18200>, <kernel.DependentProduct object at 0x2b7ecbd208c0>) of role type named mor_decl
% 0.33/0.56 Using role type
% 0.33/0.56 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.56 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
% 0.33/0.56 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))))
% 0.33/0.56 Defined: mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U)))
% 0.33/0.56 FOF formula (<kernel.Constant object at 0x2b7ecbcf5dd0>, <kernel.DependentProduct object at 0x2b7ecbd20440>) of role type named mand_decl
% 0.33/0.56 Using role type
% 0.33/0.56 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.56 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
% 0.33/0.56 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))))
% 0.33/0.56 Defined: mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U)))
% 0.33/0.56 FOF formula (<kernel.Constant object at 0x2b7ecbd20200>, <kernel.DependentProduct object at 0x2b7ecbd202d8>) of role type named mimpl_decl
% 0.33/0.56 Using role type
% 0.33/0.56 Declaring mimpl:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.56 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
% 0.33/0.56 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimpl) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)))
% 0.33/0.57 Defined: mimpl:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V))
% 0.33/0.57 FOF formula (<kernel.Constant object at 0x2b7ecbd20440>, <kernel.DependentProduct object at 0x2b7ecbd209e0>) of role type named miff_decl
% 0.33/0.57 Using role type
% 0.33/0.57 Declaring miff:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.57 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
% 0.33/0.57 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))))
% 0.33/0.57 Defined: miff:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mand ((mimpl U) V)) ((mimpl V) U)))
% 0.33/0.57 FOF formula (<kernel.Constant object at 0x2b7ecbd20200>, <kernel.DependentProduct object at 0x2b7ecbd20170>) of role type named mbox_decl
% 0.33/0.57 Using role type
% 0.33/0.57 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.57 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
% 0.33/0.57 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)))))
% 0.33/0.57 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((R X) Y)->(P Y))))
% 0.33/0.57 FOF formula (<kernel.Constant object at 0x2b7ecbd207a0>, <kernel.DependentProduct object at 0x2b7ecbe02f80>) of role type named mdia_decl
% 0.33/0.57 Using role type
% 0.33/0.57 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.33/0.57 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
% 0.33/0.57 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))))))
% 0.33/0.57 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (P:(fofType->Prop)) (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((and ((R X) Y)) (P Y)))))
% 0.33/0.57 FOF formula (<kernel.Constant object at 0x2b7ecbe02f80>, <kernel.Type object at 0x2b7ecbe02fc8>) of role type named individuals_decl
% 0.33/0.57 Using role type
% 0.33/0.57 Declaring individuals:Type
% 0.33/0.57 FOF formula (<kernel.Constant object at 0x2b7ecbe02b00>, <kernel.DependentProduct object at 0x2b7ecbe02bd8>) of role type named mall_decl
% 0.33/0.57 Using role type
% 0.33/0.57 Declaring mall:((individuals->(fofType->Prop))->(fofType->Prop))
% 0.33/0.57 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
% 0.33/0.57 A new definition: (((eq ((individuals->(fofType->Prop))->(fofType->Prop))) mall) (fun (P:(individuals->(fofType->Prop))) (W:fofType)=> (forall (X:individuals), ((P X) W))))
% 0.33/0.57 Defined: mall:=(fun (P:(individuals->(fofType->Prop))) (W:fofType)=> (forall (X:individuals), ((P X) W)))
% 0.33/0.57 FOF formula (<kernel.Constant object at 0x2b7ecbe02f80>, <kernel.DependentProduct object at 0x2b7ecbe027a0>) of role type named mexists_decl
% 0.33/0.57 Using role type
% 0.33/0.57 Declaring mexists:((individuals->(fofType->Prop))->(fofType->Prop))
% 0.33/0.57 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
% 0.33/0.57 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)))))
% 0.33/0.57 Defined: mexists:=(fun (P:(individuals->(fofType->Prop))) (W:fofType)=> ((ex individuals) (fun (X:individuals)=> ((P X) W))))
% 0.33/0.58 FOF formula (<kernel.Constant object at 0x2b7ecbe027e8>, <kernel.DependentProduct object at 0x2b7ec4494320>) of role type named mvalid_decl
% 0.33/0.58 Using role type
% 0.33/0.58 Declaring mvalid:((fofType->Prop)->Prop)
% 0.33/0.58 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (P:(fofType->Prop))=> (forall (W:fofType), (P W)))) of role definition named mvalid
% 0.33/0.58 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (P:(fofType->Prop))=> (forall (W:fofType), (P W))))
% 0.33/0.58 Defined: mvalid:=(fun (P:(fofType->Prop))=> (forall (W:fofType), (P W)))
% 0.33/0.58 FOF formula (<kernel.Constant object at 0x2b7ecbe02f80>, <kernel.DependentProduct object at 0x2b7ec44944d0>) of role type named msatisfiable_decl
% 0.33/0.58 Using role type
% 0.33/0.58 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.33/0.58 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (P W))))) of role definition named msatisfiable
% 0.33/0.58 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (P W)))))
% 0.33/0.58 Defined: msatisfiable:=(fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (P W))))
% 0.33/0.58 FOF formula (<kernel.Constant object at 0x2b7ecbe02560>, <kernel.DependentProduct object at 0x2b7ec44944d0>) of role type named mcountersatisfiable_decl
% 0.33/0.58 Using role type
% 0.33/0.58 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.33/0.58 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((P W)->False))))) of role definition named mcountersatisfiable
% 0.33/0.58 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((P W)->False)))))
% 0.33/0.58 Defined: mcountersatisfiable:=(fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((P W)->False))))
% 0.33/0.58 FOF formula (<kernel.Constant object at 0x2b7ec44942d8>, <kernel.DependentProduct object at 0x2b7ec4494710>) of role type named minvalid_decl
% 0.33/0.58 Using role type
% 0.33/0.58 Declaring minvalid:((fofType->Prop)->Prop)
% 0.33/0.58 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (P:(fofType->Prop))=> (forall (W:fofType), ((P W)->False)))) of role definition named minvalid
% 0.33/0.58 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (P:(fofType->Prop))=> (forall (W:fofType), ((P W)->False))))
% 0.33/0.58 Defined: minvalid:=(fun (P:(fofType->Prop))=> (forall (W:fofType), ((P W)->False)))
% 0.33/0.58 FOF formula (<kernel.Constant object at 0x2b7ecbd0f710>, <kernel.DependentProduct object at 0x2b7ecbd0fa28>) of role type named r_type
% 0.33/0.58 Using role type
% 0.33/0.58 Declaring r:(fofType->(fofType->Prop))
% 0.33/0.58 FOF formula (forall (X:(fofType->Prop)), (mvalid ((mimpl ((mbox r) ((mimpl ((mbox r) X)) X))) ((mbox r) X)))) of role axiom named gl
% 0.33/0.58 A new axiom: (forall (X:(fofType->Prop)), (mvalid ((mimpl ((mbox r) ((mimpl ((mbox r) X)) X))) ((mbox r) X))))
% 0.33/0.58 FOF formula (forall (P:(fofType->Prop)), (mvalid ((mimpl ((mbox r) ((mimpl ((mbox r) P)) P))) ((mbox r) P)))) of role conjecture named loeb
% 0.33/0.58 Conjecture to prove = (forall (P:(fofType->Prop)), (mvalid ((mimpl ((mbox r) ((mimpl ((mbox r) P)) P))) ((mbox r) P)))):Prop
% 0.33/0.58 Parameter individuals_DUMMY:individuals.
% 0.33/0.58 We need to prove ['(forall (P:(fofType->Prop)), (mvalid ((mimpl ((mbox r) ((mimpl ((mbox r) P)) P))) ((mbox r) P))))']
% 0.33/0.58 Parameter fofType:Type.
% 0.33/0.58 Parameter current_world:fofType.
% 0.33/0.58 Parameter prop_a:(fofType->Prop).
% 0.33/0.58 Parameter prop_b:(fofType->Prop).
% 0.33/0.58 Parameter prop_c:(fofType->Prop).
% 0.33/0.58 Definition mfalse:=(fun (X:fofType)=> False):(fofType->Prop).
% 0.33/0.58 Definition mtrue:=(fun (X:fofType)=> True):(fofType->Prop).
% 0.33/0.58 Definition mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.33/0.58 Definition mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.33/0.58 Definition mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.33/0.58 Definition mimpl:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.33/0.60 Definition miff:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mand ((mimpl U) V)) ((mimpl V) U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.33/0.60 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))).
% 0.33/0.60 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))).
% 0.33/0.60 Parameter individuals:Type.
% 0.33/0.60 Definition mall:=(fun (P:(individuals->(fofType->Prop))) (W:fofType)=> (forall (X:individuals), ((P X) W))):((individuals->(fofType->Prop))->(fofType->Prop)).
% 0.33/0.60 Definition mexists:=(fun (P:(individuals->(fofType->Prop))) (W:fofType)=> ((ex individuals) (fun (X:individuals)=> ((P X) W)))):((individuals->(fofType->Prop))->(fofType->Prop)).
% 0.33/0.60 Definition mvalid:=(fun (P:(fofType->Prop))=> (forall (W:fofType), (P W))):((fofType->Prop)->Prop).
% 0.33/0.60 Definition msatisfiable:=(fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (P W)))):((fofType->Prop)->Prop).
% 0.33/0.60 Definition mcountersatisfiable:=(fun (P:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((P W)->False)))):((fofType->Prop)->Prop).
% 0.33/0.60 Definition minvalid:=(fun (P:(fofType->Prop))=> (forall (W:fofType), ((P W)->False))):((fofType->Prop)->Prop).
% 0.33/0.60 Parameter r:(fofType->(fofType->Prop)).
% 0.33/0.60 Axiom gl:(forall (X:(fofType->Prop)), (mvalid ((mimpl ((mbox r) ((mimpl ((mbox r) X)) X))) ((mbox r) X)))).
% 0.33/0.60 Trying to prove (forall (P:(fofType->Prop)), (mvalid ((mimpl ((mbox r) ((mimpl ((mbox r) P)) P))) ((mbox r) P))))
% 0.33/0.60 Found gl:(forall (X:(fofType->Prop)), (mvalid ((mimpl ((mbox r) ((mimpl ((mbox r) X)) X))) ((mbox r) X))))
% 0.33/0.60 Found gl as proof of (forall (P:(fofType->Prop)), (mvalid ((mimpl ((mbox r) ((mimpl ((mbox r) P)) P))) ((mbox r) P))))
% 0.33/0.60 Got proof gl
% 0.33/0.60 Time elapsed = 0.001386s
% 0.33/0.60 node=0 cost=0.000000 depth=0
% 0.33/0.60::::::::::::::::::::::
% 0.33/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/0.60 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/0.60 gl
% 0.33/0.60 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------