%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SWV446^1 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n102.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 13:36:00 EDT 2014 % Result : Unknown 126.46s % Output : None % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----NO SOLUTION OUTPUT BY SYSTEM %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SWV446^1 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n102.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 09:57:36 CDT 2014 % % CPUTime : 126.46 % 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 0x8267a0>, <kernel.Constant object at 0x8268c0>) of role type named current_world % Using role type % Declaring current_world:fofType % FOF formula (<kernel.Constant object at 0x8267a0>, <kernel.DependentProduct object at 0x826cf8>) of role type named prop_a % Using role type % Declaring prop_a:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x826b48>, <kernel.DependentProduct object at 0x826878>) of role type named prop_b % Using role type % Declaring prop_b:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x826f38>, <kernel.DependentProduct object at 0x826e60>) of role type named prop_c % Using role type % Declaring prop_c:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x826b48>, <kernel.DependentProduct object at 0xc5e9e0>) 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 0x826cf8>, <kernel.DependentProduct object at 0xc5e0e0>) 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 0x826f80>, <kernel.DependentProduct object at 0xa094d0>) 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 0xc5e0e0>, <kernel.DependentProduct object at 0xa097e8>) 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 0xa09248>, <kernel.DependentProduct object at 0xa09998>) 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 0xa097e8>, <kernel.DependentProduct object at 0xa09908>) 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 0xa09998>, <kernel.DependentProduct object at 0xa09c68>) 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 0xa097e8>, <kernel.DependentProduct object at 0xa09758>) 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 0xa09998>, <kernel.DependentProduct object at 0xa09758>) 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 0xa09998>, <kernel.Type object at 0xa08638>) of role type named individuals_decl % Using role type % Declaring individuals:Type % FOF formula (<kernel.Constant object at 0xa09998>, <kernel.DependentProduct object at 0xa08b90>) 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 0xa08830>, <kernel.DependentProduct object at 0xa085f0>) 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 0xa08a70>, <kernel.DependentProduct object at 0x80b518>) 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 0xa08b00>, <kernel.DependentProduct object at 0x80b518>) 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 0x80b518>, <kernel.DependentProduct object at 0x80b6c8>) 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 0x80b488>, <kernel.DependentProduct object at 0x80bab8>) 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/LCL009^0.ax, trying next directory % FOF formula (<kernel.Constant object at 0x826e18>, <kernel.DependentProduct object at 0x826f38>) of role type named reli % Using role type % Declaring reli:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x8268c0>, <kernel.DependentProduct object at 0x826dd0>) of role type named relr % Using role type % Declaring relr:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x8268c0>, <kernel.DependentProduct object at 0x826f38>) of role type named cs4_atom_decl % Using role type % Declaring cs4_atom:((fofType->Prop)->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x826d88>, <kernel.DependentProduct object at 0x826f38>) of role type named cs4_and_decl % Using role type % Declaring cs4_and:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % FOF formula (<kernel.Constant object at 0x826cf8>, <kernel.DependentProduct object at 0x826f38>) of role type named cs4_or_decl % Using role type % Declaring cs4_or:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % FOF formula (<kernel.Constant object at 0x826878>, <kernel.DependentProduct object at 0x826f38>) of role type named cs4_impl_decl % Using role type % Declaring cs4_impl:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % FOF formula (<kernel.Constant object at 0x826e18>, <kernel.DependentProduct object at 0xc5e248>) of role type named cs4_true_decl % Using role type % Declaring cs4_true:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x826dd0>, <kernel.DependentProduct object at 0xc5e0e0>) of role type named cs4_false_decl % Using role type % Declaring cs4_false:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x826f38>, <kernel.DependentProduct object at 0xc5e098>) of role type named cs4_all_decl % Using role type % Declaring cs4_all:((individuals->(fofType->Prop))->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x826dd0>, <kernel.DependentProduct object at 0xc5e098>) of role type named cs4_box_decl % Using role type % Declaring cs4_box:((fofType->Prop)->(fofType->Prop)) % FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) cs4_atom) (fun (P:(fofType->Prop))=> ((mbox reli) P))) of role definition named cs4_atom % A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) cs4_atom) (fun (P:(fofType->Prop))=> ((mbox reli) P))) % Defined: cs4_atom:=(fun (P:(fofType->Prop))=> ((mbox reli) P)) % FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) cs4_and) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mand A) B))) of role definition named cs4_and % A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) cs4_and) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mand A) B))) % Defined: cs4_and:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mand A) B)) % FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) cs4_or) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mor A) B))) of role definition named cs4_or % A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) cs4_or) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mor A) B))) % Defined: cs4_or:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mor A) B)) % FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) cs4_impl) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mbox reli) ((mimpl A) B)))) of role definition named cs4_impl % A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) cs4_impl) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mbox reli) ((mimpl A) B)))) % Defined: cs4_impl:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mbox reli) ((mimpl A) B))) % FOF formula (((eq (fofType->Prop)) cs4_true) mtrue) of role definition named cs4_true % A new definition: (((eq (fofType->Prop)) cs4_true) mtrue) % Defined: cs4_true:=mtrue % FOF formula (((eq (fofType->Prop)) cs4_false) mfalse) of role definition named cs4_false % A new definition: (((eq (fofType->Prop)) cs4_false) mfalse) % Defined: cs4_false:=mfalse % FOF formula (((eq ((individuals->(fofType->Prop))->(fofType->Prop))) cs4_all) (fun (A:(individuals->(fofType->Prop)))=> ((mbox reli) (mall A)))) of role definition named cs4_all % A new definition: (((eq ((individuals->(fofType->Prop))->(fofType->Prop))) cs4_all) (fun (A:(individuals->(fofType->Prop)))=> ((mbox reli) (mall A)))) % Defined: cs4_all:=(fun (A:(individuals->(fofType->Prop)))=> ((mbox reli) (mall A))) % FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) cs4_box) (fun (A:(fofType->Prop))=> ((mbox reli) ((mbox relr) A)))) of role definition named cs4_box % A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) cs4_box) (fun (A:(fofType->Prop))=> ((mbox reli) ((mbox relr) A)))) % Defined: cs4_box:=(fun (A:(fofType->Prop))=> ((mbox reli) ((mbox relr) A))) % FOF formula (<kernel.Constant object at 0xa09098>, <kernel.DependentProduct object at 0xa09878>) of role type named cs4_valid_decl % Using role type % Declaring cs4_valid:((fofType->Prop)->Prop) % FOF formula (((eq ((fofType->Prop)->Prop)) cs4_valid) (fun (A:(fofType->Prop))=> (mvalid A))) of role definition named cs4_valid_def % A new definition: (((eq ((fofType->Prop)->Prop)) cs4_valid) (fun (A:(fofType->Prop))=> (mvalid A))) % Defined: cs4_valid:=(fun (A:(fofType->Prop))=> (mvalid A)) % FOF formula (forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox reli) A)) A))) of role axiom named refl_axiom_i % A new axiom: (forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox reli) A)) A))) % FOF formula (forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox relr) A)) A))) of role axiom named refl_axiom_r % A new axiom: (forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox relr) A)) A))) % FOF formula (forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox reli) A)) ((mbox reli) ((mbox reli) A))))) of role axiom named trans_axiom_i % A new axiom: (forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox reli) A)) ((mbox reli) ((mbox reli) A))))) % FOF formula (forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox relr) A)) ((mbox relr) ((mbox relr) A))))) of role axiom named trans_axiom_r % A new axiom: (forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox relr) A)) ((mbox relr) ((mbox relr) A))))) % FOF formula (forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox reli) ((mbox relr) A))) ((mbox relr) ((mbox reli) A))))) of role axiom named ax_i_r_commute % A new axiom: (forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox reli) ((mbox relr) A))) ((mbox relr) ((mbox reli) A))))) % Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/SWV010^0.ax, trying next directory % FOF formula (<kernel.Constant object at 0x8268c0>, <kernel.DependentProduct object at 0xc5e0e0>) of role type named princ_inj % Using role type % Declaring princ_inj:(individuals->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x826e18>, <kernel.DependentProduct object at 0xc5e0e0>) of role type named bl_atom_decl % Using role type % Declaring bl_atom:((fofType->Prop)->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x826cf8>, <kernel.DependentProduct object at 0xc5e9e0>) of role type named bl_princ_decl % Using role type % Declaring bl_princ:((fofType->Prop)->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x826dd0>, <kernel.DependentProduct object at 0x826e18>) of role type named bl_and_decl % Using role type % Declaring bl_and:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % FOF formula (<kernel.Constant object at 0x8268c0>, <kernel.DependentProduct object at 0xc5e098>) of role type named bl_or_decl % Using role type % Declaring bl_or:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % FOF formula (<kernel.Constant object at 0x826e18>, <kernel.DependentProduct object at 0xc5e248>) of role type named bl_impl_decl % Using role type % Declaring bl_impl:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % FOF formula (<kernel.Constant object at 0x826cf8>, <kernel.DependentProduct object at 0xa09a28>) of role type named bl_all_decl % Using role type % Declaring bl_all:((individuals->(fofType->Prop))->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x826e18>, <kernel.DependentProduct object at 0xa091b8>) of role type named bl_true_decl % Using role type % Declaring bl_true:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x826e18>, <kernel.DependentProduct object at 0xa095a8>) of role type named bl_false_decl % Using role type % Declaring bl_false:(fofType->Prop) % FOF formula (<kernel.Constant object at 0xc5e0e0>, <kernel.DependentProduct object at 0xa094d0>) of role type named bl_says_decl % Using role type % Declaring bl_says:(individuals->((fofType->Prop)->(fofType->Prop))) % FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) bl_atom) (fun (P:(fofType->Prop))=> (cs4_atom P))) of role definition named bl_atom % A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) bl_atom) (fun (P:(fofType->Prop))=> (cs4_atom P))) % Defined: bl_atom:=(fun (P:(fofType->Prop))=> (cs4_atom P)) % FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) bl_princ) (fun (P:(fofType->Prop))=> (cs4_atom P))) of role definition named bl_princ % A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) bl_princ) (fun (P:(fofType->Prop))=> (cs4_atom P))) % Defined: bl_princ:=(fun (P:(fofType->Prop))=> (cs4_atom P)) % FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) bl_and) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((cs4_and A) B))) of role definition named bl_and % A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) bl_and) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((cs4_and A) B))) % Defined: bl_and:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((cs4_and A) B)) % FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) bl_or) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((cs4_or A) B))) of role definition named bl_or % A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) bl_or) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((cs4_or A) B))) % Defined: bl_or:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((cs4_or A) B)) % FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) bl_impl) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((cs4_impl A) B))) of role definition named bl_impl % A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) bl_impl) (fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((cs4_impl A) B))) % Defined: bl_impl:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((cs4_impl A) B)) % FOF formula (((eq ((individuals->(fofType->Prop))->(fofType->Prop))) bl_all) (fun (A:(individuals->(fofType->Prop)))=> (cs4_all A))) of role definition named bl_all % A new definition: (((eq ((individuals->(fofType->Prop))->(fofType->Prop))) bl_all) (fun (A:(individuals->(fofType->Prop)))=> (cs4_all A))) % Defined: bl_all:=(fun (A:(individuals->(fofType->Prop)))=> (cs4_all A)) % FOF formula (((eq (fofType->Prop)) bl_true) cs4_true) of role definition named bl_true % A new definition: (((eq (fofType->Prop)) bl_true) cs4_true) % Defined: bl_true:=cs4_true % FOF formula (((eq (fofType->Prop)) bl_false) cs4_false) of role definition named bl_false % A new definition: (((eq (fofType->Prop)) bl_false) cs4_false) % Defined: bl_false:=cs4_false % FOF formula (((eq (individuals->((fofType->Prop)->(fofType->Prop)))) bl_says) (fun (K:individuals) (A:(fofType->Prop))=> (cs4_box ((cs4_impl (bl_princ (princ_inj K))) A)))) of role definition named bl_says % A new definition: (((eq (individuals->((fofType->Prop)->(fofType->Prop)))) bl_says) (fun (K:individuals) (A:(fofType->Prop))=> (cs4_box ((cs4_impl (bl_princ (princ_inj K))) A)))) % Defined: bl_says:=(fun (K:individuals) (A:(fofType->Prop))=> (cs4_box ((cs4_impl (bl_princ (princ_inj K))) A))) % FOF formula (<kernel.Constant object at 0xa091b8>, <kernel.DependentProduct object at 0xa09878>) of role type named bl_valid_decl % Using role type % Declaring bl_valid:((fofType->Prop)->Prop) % FOF formula (((eq ((fofType->Prop)->Prop)) bl_valid) mvalid) of role definition named bl_valid_def % A new definition: (((eq ((fofType->Prop)->Prop)) bl_valid) mvalid) % Defined: bl_valid:=mvalid % FOF formula (<kernel.Constant object at 0xa09998>, <kernel.Constant object at 0xa094d0>) of role type named loca_decl % Using role type % Declaring loca:individuals % FOF formula (cs4_valid (cs4_all (fun (K:individuals)=> ((cs4_impl (princ_inj K)) (princ_inj loca))))) of role axiom named loca_strength % A new axiom: (cs4_valid (cs4_all (fun (K:individuals)=> ((cs4_impl (princ_inj K)) (princ_inj loca))))) % FOF formula (forall (K:individuals) (A:(fofType->Prop)), (bl_valid ((bl_says K) ((bl_impl ((bl_says K) (bl_atom A))) (bl_atom A))))) of role conjecture named bl_conceit % Conjecture to prove = (forall (K:individuals) (A:(fofType->Prop)), (bl_valid ((bl_says K) ((bl_impl ((bl_says K) (bl_atom A))) (bl_atom A))))):Prop % We need to prove ['(forall (K:individuals) (A:(fofType->Prop)), (bl_valid ((bl_says K) ((bl_impl ((bl_says K) (bl_atom A))) (bl_atom A)))))'] % 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 reli:(fofType->(fofType->Prop)). % Parameter relr:(fofType->(fofType->Prop)). % Definition cs4_atom:=(fun (P:(fofType->Prop))=> ((mbox reli) P)):((fofType->Prop)->(fofType->Prop)). % Definition cs4_and:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mand A) B)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition cs4_or:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mor A) B)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition cs4_impl:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((mbox reli) ((mimpl A) B))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition cs4_true:=mtrue:(fofType->Prop). % Definition cs4_false:=mfalse:(fofType->Prop). % Definition cs4_all:=(fun (A:(individuals->(fofType->Prop)))=> ((mbox reli) (mall A))):((individuals->(fofType->Prop))->(fofType->Prop)). % Definition cs4_box:=(fun (A:(fofType->Prop))=> ((mbox reli) ((mbox relr) A))):((fofType->Prop)->(fofType->Prop)). % Definition cs4_valid:=(fun (A:(fofType->Prop))=> (mvalid A)):((fofType->Prop)->Prop). % Axiom refl_axiom_i:(forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox reli) A)) A))). % Axiom refl_axiom_r:(forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox relr) A)) A))). % Axiom trans_axiom_i:(forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox reli) A)) ((mbox reli) ((mbox reli) A))))). % Axiom trans_axiom_r:(forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox relr) A)) ((mbox relr) ((mbox relr) A))))). % Axiom ax_i_r_commute:(forall (A:(fofType->Prop)), (mvalid ((mimpl ((mbox reli) ((mbox relr) A))) ((mbox relr) ((mbox reli) A))))). % Parameter princ_inj:(individuals->(fofType->Prop)). % Definition bl_atom:=(fun (P:(fofType->Prop))=> (cs4_atom P)):((fofType->Prop)->(fofType->Prop)). % Definition bl_princ:=(fun (P:(fofType->Prop))=> (cs4_atom P)):((fofType->Prop)->(fofType->Prop)). % Definition bl_and:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((cs4_and A) B)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition bl_or:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((cs4_or A) B)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition bl_impl:=(fun (A:(fofType->Prop)) (B:(fofType->Prop))=> ((cs4_impl A) B)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition bl_all:=(fun (A:(individuals->(fofType->Prop)))=> (cs4_all A)):((individuals->(fofType->Prop))->(fofType->Prop)). % Definition bl_true:=cs4_true:(fofType->Prop). % Definition bl_false:=cs4_false:(fofType->Prop). % Definition bl_says:=(fun (K:individuals) (A:(fofType->Prop))=> (cs4_box ((cs4_impl (bl_princ (princ_inj K))) A))):(individuals->((fofType->Prop)->(fofType->Prop))). % Definition bl_valid:=mvalid:((fofType->Prop)->Prop). % Parameter loca:individuals. % Axiom loca_strength:(cs4_valid (cs4_all (fun (K:individuals)=> ((cs4_impl (princ_inj K)) (princ_inj loca))))). % Trying to prove (forall (K:individuals) (A:(fofType->Prop)), (bl_valid ((bl_says K) ((bl_impl ((bl_says K) (bl_atom A))) (bl_atom A))))) % % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------