%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU580^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n103.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 13:32:31 EDT 2014 % Result : Theorem 0.40s % Output : Proof 0.40s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU580^2 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n103.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 10:47:41 CDT 2014 % % CPUTime : 0.40 % 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 0x2710758>, <kernel.DependentProduct object at 0x2710bd8>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x2acd170>, <kernel.DependentProduct object at 0x27105f0>) of role type named powerset_type % Using role type % Declaring powerset:(fofType->fofType) % FOF formula (<kernel.Constant object at 0x2710e18>, <kernel.DependentProduct object at 0x2710488>) of role type named dsetconstr_type % Using role type % Declaring dsetconstr:(fofType->((fofType->Prop)->fofType)) % FOF formula (<kernel.Constant object at 0x27107a0>, <kernel.Sort object at 0x25d5cf8>) of role type named dsetconstrEL_type % Using role type % Declaring dsetconstrEL:Prop % FOF formula (((eq Prop) dsetconstrEL) (forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->((in Xx) A)))) of role definition named dsetconstrEL % A new definition: (((eq Prop) dsetconstrEL) (forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->((in Xx) A)))) % Defined: dsetconstrEL:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->((in Xx) A))) % FOF formula (<kernel.Constant object at 0x2710368>, <kernel.Sort object at 0x25d5cf8>) of role type named powersetI_type % Using role type % Declaring powersetI:Prop % FOF formula (((eq Prop) powersetI) (forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) B)->((in Xx) A)))->((in B) (powerset A))))) of role definition named powersetI % A new definition: (((eq Prop) powersetI) (forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) B)->((in Xx) A)))->((in B) (powerset A))))) % Defined: powersetI:=(forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) B)->((in Xx) A)))->((in B) (powerset A)))) % FOF formula (dsetconstrEL->(powersetI->(forall (A:fofType) (Xphi:(fofType->Prop)), ((in ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) (powerset A))))) of role conjecture named sepInPowerset % Conjecture to prove = (dsetconstrEL->(powersetI->(forall (A:fofType) (Xphi:(fofType->Prop)), ((in ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) (powerset A))))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(dsetconstrEL->(powersetI->(forall (A:fofType) (Xphi:(fofType->Prop)), ((in ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) (powerset A)))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter powerset:(fofType->fofType). % Parameter dsetconstr:(fofType->((fofType->Prop)->fofType)). % Definition dsetconstrEL:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->((in Xx) A))):Prop. % Definition powersetI:=(forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) B)->((in Xx) A)))->((in B) (powerset A)))):Prop. % Trying to prove (dsetconstrEL->(powersetI->(forall (A:fofType) (Xphi:(fofType->Prop)), ((in ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) (powerset A))))) % Found x10:=(x1 Xphi):(forall (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->((in Xx) A))) % Found (x1 Xphi) as proof of (forall (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx))))->((in Xx) A))) % Found ((x A) Xphi) as proof of (forall (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx))))->((in Xx) A))) % Found ((x A) Xphi) as proof of (forall (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx))))->((in Xx) A))) % Found (x000 ((x A) Xphi)) as proof of ((in ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) (powerset A)) % Found ((x00 ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) ((x A) Xphi)) as proof of ((in ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) (powerset A)) % Found (((x0 A) ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) ((x A) Xphi)) as proof of ((in ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) (powerset A)) % Found (fun (Xphi:(fofType->Prop))=> (((x0 A) ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) ((x A) Xphi))) as proof of ((in ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) (powerset A)) % Found (fun (A:fofType) (Xphi:(fofType->Prop))=> (((x0 A) ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) ((x A) Xphi))) as proof of (forall (Xphi:(fofType->Prop)), ((in ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) (powerset A))) % Found (fun (x0:powersetI) (A:fofType) (Xphi:(fofType->Prop))=> (((x0 A) ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) ((x A) Xphi))) as proof of (forall (A:fofType) (Xphi:(fofType->Prop)), ((in ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) (powerset A))) % Found (fun (x:dsetconstrEL) (x0:powersetI) (A:fofType) (Xphi:(fofType->Prop))=> (((x0 A) ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) ((x A) Xphi))) as proof of (powersetI->(forall (A:fofType) (Xphi:(fofType->Prop)), ((in ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) (powerset A)))) % Found (fun (x:dsetconstrEL) (x0:powersetI) (A:fofType) (Xphi:(fofType->Prop))=> (((x0 A) ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) ((x A) Xphi))) as proof of (dsetconstrEL->(powersetI->(forall (A:fofType) (Xphi:(fofType->Prop)), ((in ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) (powerset A))))) % Got proof (fun (x:dsetconstrEL) (x0:powersetI) (A:fofType) (Xphi:(fofType->Prop))=> (((x0 A) ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) ((x A) Xphi))) % Time elapsed = 0.076637s % node=13 cost=-107.000000 depth=10 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:dsetconstrEL) (x0:powersetI) (A:fofType) (Xphi:(fofType->Prop))=> (((x0 A) ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))) ((x A) Xphi))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------