%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU500^2 : TPTP v6.1.0. Released v3.7.0. % 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 13:32:18 EDT 2014 % Result : Theorem 0.37s % Output : Proof 0.37s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU500^2 : TPTP v6.1.0. Released v3.7.0. % % 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 10:24:31 CDT 2014 % % CPUTime : 0.37 % Python 2.7.5 % Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % FOF formula (<kernel.Constant object at 0x13c8830>, <kernel.DependentProduct object at 0x13c8b48>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x15b55f0>, <kernel.Single object at 0x13c8a28>) of role type named emptyset_type % Using role type % Declaring emptyset:fofType % FOF formula (<kernel.Constant object at 0x13c8b48>, <kernel.DependentProduct object at 0x13c85f0>) of role type named powerset_type % Using role type % Declaring powerset:(fofType->fofType) % FOF formula (<kernel.Constant object at 0x13c8680>, <kernel.DependentProduct object at 0x13c8d88>) of role type named dsetconstr_type % Using role type % Declaring dsetconstr:(fofType->((fofType->Prop)->fofType)) % FOF formula (<kernel.Constant object at 0x13c8ea8>, <kernel.Sort object at 0x1676098>) of role type named dsetconstrER_type % Using role type % Declaring dsetconstrER:Prop % FOF formula (((eq Prop) dsetconstrER) (forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->(Xphi Xx)))) of role definition named dsetconstrER % A new definition: (((eq Prop) dsetconstrER) (forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->(Xphi Xx)))) % Defined: dsetconstrER:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->(Xphi Xx))) % FOF formula (<kernel.Constant object at 0x181b2d8>, <kernel.DependentProduct object at 0x13c8680>) of role type named prop2set_type % Using role type % Declaring prop2set:(Prop->fofType) % FOF formula (((eq (Prop->fofType)) prop2set) (fun (Xphi:Prop)=> ((dsetconstr (powerset emptyset)) (fun (Xx:fofType)=> Xphi)))) of role definition named prop2set % A new definition: (((eq (Prop->fofType)) prop2set) (fun (Xphi:Prop)=> ((dsetconstr (powerset emptyset)) (fun (Xx:fofType)=> Xphi)))) % Defined: prop2set:=(fun (Xphi:Prop)=> ((dsetconstr (powerset emptyset)) (fun (Xx:fofType)=> Xphi))) % FOF formula (dsetconstrER->(forall (Xphi:Prop) (Xx:fofType), (((in Xx) (prop2set Xphi))->Xphi))) of role conjecture named prop2setE % Conjecture to prove = (dsetconstrER->(forall (Xphi:Prop) (Xx:fofType), (((in Xx) (prop2set Xphi))->Xphi))):Prop % We need to prove ['(dsetconstrER->(forall (Xphi:Prop) (Xx:fofType), (((in Xx) (prop2set Xphi))->Xphi)))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter emptyset:fofType. % Parameter powerset:(fofType->fofType). % Parameter dsetconstr:(fofType->((fofType->Prop)->fofType)). % Definition dsetconstrER:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->(Xphi Xx))):Prop. % Definition prop2set:=(fun (Xphi:Prop)=> ((dsetconstr (powerset emptyset)) (fun (Xx:fofType)=> Xphi))):(Prop->fofType). % Trying to prove (dsetconstrER->(forall (Xphi:Prop) (Xx:fofType), (((in Xx) (prop2set Xphi))->Xphi))) % Found x00:=(x0 (fun (x3:fofType)=> Xphi)):(forall (Xx:fofType), (((in Xx) ((dsetconstr (powerset emptyset)) (fun (Xy:fofType)=> Xphi)))->Xphi)) % Found (x0 (fun (x3:fofType)=> Xphi)) as proof of (forall (Xx:fofType), (((in Xx) (prop2set Xphi))->Xphi)) % Found ((x (powerset emptyset)) (fun (x3:fofType)=> Xphi)) as proof of (forall (Xx:fofType), (((in Xx) (prop2set Xphi))->Xphi)) % Found (fun (Xphi:Prop)=> ((x (powerset emptyset)) (fun (x3:fofType)=> Xphi))) as proof of (forall (Xx:fofType), (((in Xx) (prop2set Xphi))->Xphi)) % Found (fun (x:dsetconstrER) (Xphi:Prop)=> ((x (powerset emptyset)) (fun (x3:fofType)=> Xphi))) as proof of (forall (Xphi:Prop) (Xx:fofType), (((in Xx) (prop2set Xphi))->Xphi)) % Found (fun (x:dsetconstrER) (Xphi:Prop)=> ((x (powerset emptyset)) (fun (x3:fofType)=> Xphi))) as proof of (dsetconstrER->(forall (Xphi:Prop) (Xx:fofType), (((in Xx) (prop2set Xphi))->Xphi))) % Got proof (fun (x:dsetconstrER) (Xphi:Prop)=> ((x (powerset emptyset)) (fun (x3:fofType)=> Xphi))) % Time elapsed = 0.039960s % node=5 cost=-185.000000 depth=4 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:dsetconstrER) (Xphi:Prop)=> ((x (powerset emptyset)) (fun (x3:fofType)=> Xphi))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF 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