%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : LCL591^1 : TPTP v6.1.0. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n117.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 13:25:49 EDT 2014 % Result : Theorem 0.46s % Output : Proof 0.46s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : LCL591^1 : TPTP v6.1.0. Released v3.6.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n117.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 10:01:01 CDT 2014 % % CPUTime : 0.46 % 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 0x1faa200>, <kernel.Constant object at 0x1dd7560>) of role type named current_world % Using role type % Declaring current_world:fofType % FOF formula (<kernel.Constant object at 0x1dd73f8>, <kernel.DependentProduct object at 0x1dd7c68>) of role type named prop_a % Using role type % Declaring prop_a:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x1dd7b90>, <kernel.DependentProduct object at 0x1dd7d40>) of role type named prop_b % Using role type % Declaring prop_b:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x1dd7368>, <kernel.DependentProduct object at 0x1dd7cf8>) of role type named prop_c % Using role type % Declaring prop_c:(fofType->Prop) % FOF formula (<kernel.Constant object at 0x1dd7b90>, <kernel.DependentProduct object at 0x1dd76c8>) 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 0x1dd7c68>, <kernel.DependentProduct object at 0x1dd7b00>) 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 0x1dd7b90>, <kernel.DependentProduct object at 0x1dd7e60>) 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 0x2213098>, <kernel.DependentProduct object at 0x1dd7fc8>) 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 0x1dd7fc8>, <kernel.DependentProduct object at 0x1dd7ef0>) 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 0x1dd7830>, <kernel.DependentProduct object at 0x1dd77a0>) 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 0x1dd7ef0>, <kernel.DependentProduct object at 0x1dd7f80>) 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 0x1dd7830>, <kernel.DependentProduct object at 0x1fc9908>) 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 0x1dd7f80>, <kernel.DependentProduct object at 0x1fc9758>) 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 0x1fc9d40>, <kernel.Type object at 0x1fc9cf8>) of role type named individuals_decl % Using role type % Declaring individuals:Type % FOF formula (<kernel.Constant object at 0x1fc9170>, <kernel.DependentProduct object at 0x1dbc518>) 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 0x1fc9c68>, <kernel.DependentProduct object at 0x1dbc710>) 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 0x1fc9170>, <kernel.DependentProduct object at 0x1dbc638>) 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 0x1dbc6c8>, <kernel.DependentProduct object at 0x1dbc878>) 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 0x1dbc638>, <kernel.DependentProduct object at 0x1dbc950>) 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 0x1dbc6c8>, <kernel.DependentProduct object at 0x1dbcb48>) 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))) (A:(fofType->Prop)), ((mvalid A)->(mvalid ((mbox R) A)))) of role conjecture named thm % Conjecture to prove = (forall (R:(fofType->(fofType->Prop))) (A:(fofType->Prop)), ((mvalid A)->(mvalid ((mbox R) A)))):Prop % Parameter individuals_DUMMY:individuals. % We need to prove ['(forall (R:(fofType->(fofType->Prop))) (A:(fofType->Prop)), ((mvalid A)->(mvalid ((mbox R) 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). % Trying to prove (forall (R:(fofType->(fofType->Prop))) (A:(fofType->Prop)), ((mvalid A)->(mvalid ((mbox R) A)))) % Found x1:=(x Y):(A Y) % Found (x Y) as proof of (A Y) % Found (fun (x0:((R W) Y))=> (x Y)) as proof of (A Y) % Found (fun (Y:fofType) (x0:((R W) Y))=> (x Y)) as proof of (((R W) Y)->(A Y)) % Found (fun (W:fofType) (Y:fofType) (x0:((R W) Y))=> (x Y)) as proof of (((mbox R) A) W) % Found (fun (x:(mvalid A)) (W:fofType) (Y:fofType) (x0:((R W) Y))=> (x Y)) as proof of (mvalid ((mbox R) A)) % Found (fun (A:(fofType->Prop)) (x:(mvalid A)) (W:fofType) (Y:fofType) (x0:((R W) Y))=> (x Y)) as proof of ((mvalid A)->(mvalid ((mbox R) A))) % Found (fun (R:(fofType->(fofType->Prop))) (A:(fofType->Prop)) (x:(mvalid A)) (W:fofType) (Y:fofType) (x0:((R W) Y))=> (x Y)) as proof of (forall (A:(fofType->Prop)), ((mvalid A)->(mvalid ((mbox R) A)))) % Found (fun (R:(fofType->(fofType->Prop))) (A:(fofType->Prop)) (x:(mvalid A)) (W:fofType) (Y:fofType) (x0:((R W) Y))=> (x Y)) as proof of (forall (R:(fofType->(fofType->Prop))) (A:(fofType->Prop)), ((mvalid A)->(mvalid ((mbox R) A)))) % Got proof (fun (R:(fofType->(fofType->Prop))) (A:(fofType->Prop)) (x:(mvalid A)) (W:fofType) (Y:fofType) (x0:((R W) Y))=> (x Y)) % Time elapsed = 0.118926s % node=9 cost=-63.000000 depth=7 % :::::::::::::::::::::: % % 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))) (A:(fofType->Prop)) (x:(mvalid A)) (W:fofType) (Y:fofType) (x0:((R W) Y))=> (x Y)) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------