%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : LCL614^1 : TPTP v6.1.0. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n099.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 13:25:50 EDT 2014 % Result : Theorem 1.28s % Output : Proof 1.28s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : LCL614^1 : TPTP v6.1.0. Released v3.6.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n099.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 10:02:31 CDT 2014 % % CPUTime : 1.28 % 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 0x25ec908>, <kernel.Constant object at 0x251c488>) of role type named current_world % Using role type % Declaring current_world:fofType % FOF formula (<kernel.Constant object at 0x251c170>, <kernel.DependentProduct object at 0x251c248>) of role type named prop_a % Using role type % Declaring prop_a:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x251c290>, <kernel.DependentProduct object at 0x251c908>) of role type named prop_b % Using role type % Declaring prop_b:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x251c560>, <kernel.DependentProduct object at 0x251c3b0>) of role type named prop_c % Using role type % Declaring prop_c:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x251c290>, <kernel.DependentProduct object at 0x251c440>) 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 0x251c518>, <kernel.DependentProduct object at 0x251c0e0>) 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 0x251c248>, <kernel.DependentProduct object at 0x253ba70>) 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 0x251c518>, <kernel.DependentProduct object at 0x253b1b8>) 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 0x251c440>, <kernel.DependentProduct object at 0x253b7e8>) 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 0x253ba28>, <kernel.DependentProduct object at 0x253b440>) 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 0x253b7e8>, <kernel.DependentProduct object at 0x253bb48>) 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 0x253ba28>, <kernel.DependentProduct object at 0x253b1b8>) 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 0x253b7e8>, <kernel.DependentProduct object at 0x253ba70>) 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 0x27917e8>, <kernel.Type object at 0x253bcf8>) of role type named individuals_decl % Using role type % Declaring individuals:Type % FOF formula (<kernel.Constant object at 0x27917e8>, <kernel.DependentProduct object at 0x253b998>) 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 0x253b098>, <kernel.DependentProduct object at 0x253b518>) 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 0x253bfc8>, <kernel.DependentProduct object at 0x233e7a0>) 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 0x253b098>, <kernel.DependentProduct object at 0x233e7a0>) 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 0x233e7e8>, <kernel.DependentProduct object at 0x233e5a8>) 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 0x233e7a0>, <kernel.DependentProduct object at 0x233ea70>) 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))) % FOF formula (forall (R:(fofType->(fofType->Prop))) (X:(fofType->Prop)) (Y:(fofType->Prop)), ((mvalid ((mimpl X) Y))->(mvalid ((mimpl ((mbox R) X)) ((mbox R) X))))) of role conjecture named regularity % Conjecture to prove = (forall (R:(fofType->(fofType->Prop))) (X:(fofType->Prop)) (Y:(fofType->Prop)), ((mvalid ((mimpl X) Y))->(mvalid ((mimpl ((mbox R) X)) ((mbox R) X))))):Prop % Parameter individuals_DUMMY:individuals. % We need to prove ['(forall (R:(fofType->(fofType->Prop))) (X:(fofType->Prop)) (Y:(fofType->Prop)), ((mvalid ((mimpl X) Y))->(mvalid ((mimpl ((mbox R) X)) ((mbox R) X)))))'] % 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). % Trying to prove (forall (R:(fofType->(fofType->Prop))) (X:(fofType->Prop)) (Y:(fofType->Prop)), ((mvalid ((mimpl X) Y))->(mvalid ((mimpl ((mbox R) X)) ((mbox R) X))))) % Found classic0:=(classic (((mbox R) X) W)):((or (((mbox R) X) W)) (not (((mbox R) X) W))) % Found (classic (((mbox R) X) W)) as proof of ((or (((mbox R) X) W)) ((mnot ((mbox R) X)) W)) % Found (classic (((mbox R) X) W)) as proof of ((or (((mbox R) X) W)) ((mnot ((mbox R) X)) W)) % Found (or_comm_i00 (classic (((mbox R) X) W))) as proof of ((or ((mnot ((mbox R) X)) W)) (((mbox R) X) W)) % Found ((or_comm_i0 ((mnot ((mbox R) X)) W)) (classic (((mbox R) X) W))) as proof of ((or ((mnot ((mbox R) X)) W)) (((mbox R) X) W)) % Found (((or_comm_i (((mbox R) X) W)) ((mnot ((mbox R) X)) W)) (classic (((mbox R) X) W))) as proof of ((or ((mnot ((mbox R) X)) W)) (((mbox R) X) W)) % Found (((or_comm_i (((mbox R) X) W)) ((mnot ((mbox R) X)) W)) (classic (((mbox R) X) W))) as proof of ((or ((mnot ((mbox R) X)) W)) (((mbox R) X) W)) % Found (fun (W:fofType)=> (((or_comm_i (((mbox R) X) W)) ((mnot ((mbox R) X)) W)) (classic (((mbox R) X) W)))) as proof of (((mimpl ((mbox R) X)) ((mbox R) X)) W) % Found (fun (x:(mvalid ((mimpl X) Y))) (W:fofType)=> (((or_comm_i (((mbox R) X) W)) ((mnot ((mbox R) X)) W)) (classic (((mbox R) X) W)))) as proof of (mvalid ((mimpl ((mbox R) X)) ((mbox R) X))) % Found (fun (Y:(fofType->Prop)) (x:(mvalid ((mimpl X) Y))) (W:fofType)=> (((or_comm_i (((mbox R) X) W)) ((mnot ((mbox R) X)) W)) (classic (((mbox R) X) W)))) as proof of ((mvalid ((mimpl X) Y))->(mvalid ((mimpl ((mbox R) X)) ((mbox R) X)))) % Found (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (x:(mvalid ((mimpl X) Y))) (W:fofType)=> (((or_comm_i (((mbox R) X) W)) ((mnot ((mbox R) X)) W)) (classic (((mbox R) X) W)))) as proof of (forall (Y:(fofType->Prop)), ((mvalid ((mimpl X) Y))->(mvalid ((mimpl ((mbox R) X)) ((mbox R) X))))) % Found (fun (R:(fofType->(fofType->Prop))) (X:(fofType->Prop)) (Y:(fofType->Prop)) (x:(mvalid ((mimpl X) Y))) (W:fofType)=> (((or_comm_i (((mbox R) X) W)) ((mnot ((mbox R) X)) W)) (classic (((mbox R) X) W)))) as proof of (forall (X:(fofType->Prop)) (Y:(fofType->Prop)), ((mvalid ((mimpl X) Y))->(mvalid ((mimpl ((mbox R) X)) ((mbox R) X))))) % Found (fun (R:(fofType->(fofType->Prop))) (X:(fofType->Prop)) (Y:(fofType->Prop)) (x:(mvalid ((mimpl X) Y))) (W:fofType)=> (((or_comm_i (((mbox R) X) W)) ((mnot ((mbox R) X)) W)) (classic (((mbox R) X) W)))) as proof of (forall (R:(fofType->(fofType->Prop))) (X:(fofType->Prop)) (Y:(fofType->Prop)), ((mvalid ((mimpl X) Y))->(mvalid ((mimpl ((mbox R) X)) ((mbox R) X))))) % Got proof (fun (R:(fofType->(fofType->Prop))) (X:(fofType->Prop)) (Y:(fofType->Prop)) (x:(mvalid ((mimpl X) Y))) (W:fofType)=> (((or_comm_i (((mbox R) X) W)) ((mnot ((mbox R) X)) W)) (classic (((mbox R) X) W)))) % Time elapsed = 0.928928s % node=136 cost=1110.000000 depth=11 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (R:(fofType->(fofType->Prop))) (X:(fofType->Prop)) (Y:(fofType->Prop)) (x:(mvalid ((mimpl X) Y))) (W:fofType)=> (((or_comm_i (((mbox R) X) W)) ((mnot ((mbox R) X)) W)) (classic (((mbox R) X) W)))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------