%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SWV427^2 : TPTP v6.1.0. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n188.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 13:35:58 EDT 2014 % Result : Unknown 15.28s % Output : None % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----NO SOLUTION OUTPUT BY SYSTEM %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SWV427^2 : TPTP v6.1.0. Released v3.6.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n188.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 09:53:31 CDT 2014 % % CPUTime : 15.28 % 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 0x1ed4cb0>, <kernel.Constant object at 0x1ed4320>) of role type named current_world % Using role type % Declaring current_world:fofType % FOF formula (<kernel.Constant object at 0x1ed4cb0>, <kernel.DependentProduct object at 0x1ed4518>) of role type named prop_a % Using role type % Declaring prop_a:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x1ed4ea8>, <kernel.DependentProduct object at 0x1ed4d88>) of role type named prop_b % Using role type % Declaring prop_b:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x1ed42d8>, <kernel.DependentProduct object at 0x1ed43f8>) of role type named prop_c % Using role type % Declaring prop_c:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x1ed4ea8>, <kernel.DependentProduct object at 0x1ed4908>) 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 0x1ed4248>, <kernel.DependentProduct object at 0x1ed4a70>) 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 0x1ed4518>, <kernel.DependentProduct object at 0x212eef0>) 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 0x1ed4248>, <kernel.DependentProduct object at 0x212e5f0>) 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 0x1ed4908>, <kernel.DependentProduct object at 0x212ed40>) 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 0x212efc8>, <kernel.DependentProduct object at 0x212ec20>) 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 0x212ed40>, <kernel.DependentProduct object at 0x212eef0>) 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 0x212efc8>, <kernel.DependentProduct object at 0x212e5f0>) 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 0x1ed65a8>, <kernel.DependentProduct object at 0x212ee60>) 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 0x212eab8>, <kernel.Type object at 0x212ed40>) of role type named individuals_decl % Using role type % Declaring individuals:Type % FOF formula (<kernel.Constant object at 0x212ef38>, <kernel.DependentProduct object at 0x212e5f0>) 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 0x212e908>, <kernel.DependentProduct object at 0x1cd97e8>) 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 0x212ef38>, <kernel.DependentProduct object at 0x1cd9518>) 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 0x212ed40>, <kernel.DependentProduct object at 0x1cd9518>) 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 0x1cd95f0>, <kernel.DependentProduct object at 0x1cd94d0>) 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 0x1cd9710>, <kernel.DependentProduct object at 0x1cd9b00>) 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 0x1ed4830>, <kernel.DependentProduct object at 0x1ed4320>) of role type named rel_type % Using role type % Declaring rel:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x1ed4830>, <kernel.DependentProduct object at 0x1ed47e8>) 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 0x1ed4cb0>, <kernel.DependentProduct object at 0x1ed4320>) 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 0x1ed4830>, <kernel.DependentProduct object at 0x1ed4bd8>) 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 0x1ed65a8>, <kernel.DependentProduct object at 0x1ed4710>) 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 0x1ed6638>, <kernel.DependentProduct object at 0x1ed46c8>) 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 0x1ed4368>, <kernel.DependentProduct object at 0x1ed4518>) 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 0x1ed4a70>, <kernel.DependentProduct object at 0x212eef0>) 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 0x1ed4368>, <kernel.DependentProduct object at 0x212e248>) 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 0x1ed4680>, <kernel.DependentProduct object at 0x212eab8>) 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 0x1ed5b90>, <kernel.DependentProduct object at 0x1ed5710>) of role type named s % Using role type % Declaring s:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x1ed5320>, <kernel.DependentProduct object at 0x1ed5c20>) of role type named a % Using role type % Declaring a:(fofType->Prop) % FOF formula (iclval ((icl_impl ((icl_says (icl_princ a)) ((icl_says (icl_princ a)) (icl_atom s)))) ((icl_says (icl_princ a)) (icl_atom s)))) of role conjecture named idem % Conjecture to prove = (iclval ((icl_impl ((icl_says (icl_princ a)) ((icl_says (icl_princ a)) (icl_atom s)))) ((icl_says (icl_princ a)) (icl_atom s)))):Prop % Parameter individuals_DUMMY:individuals. % We need to prove ['(iclval ((icl_impl ((icl_says (icl_princ a)) ((icl_says (icl_princ a)) (icl_atom s)))) ((icl_says (icl_princ a)) (icl_atom s))))'] % 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 a:(fofType->Prop). % Trying to prove (iclval ((icl_impl ((icl_says (icl_princ a)) ((icl_says (icl_princ a)) (icl_atom s)))) ((icl_says (icl_princ a)) (icl_atom s)))) % % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------