%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU540^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n089.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 13:32:25 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 : SEU540^2 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n089.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 10:35:26 CDT 2014 % % CPUTime : 0.46 % 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 0x255b4d0>, <kernel.DependentProduct object at 0x255bd88>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x255cf38>, <kernel.Single object at 0x255b488>) of role type named emptyset_type % Using role type % Declaring emptyset:fofType % FOF formula (<kernel.Constant object at 0x255bd88>, <kernel.DependentProduct object at 0x255b3f8>) of role type named powerset_type % Using role type % Declaring powerset:(fofType->fofType) % FOF formula (<kernel.Constant object at 0x255b908>, <kernel.DependentProduct object at 0x255b7a0>) of role type named dsetconstr_type % Using role type % Declaring dsetconstr:(fofType->((fofType->Prop)->fofType)) % FOF formula (<kernel.Constant object at 0x255b248>, <kernel.Sort object at 0x204b128>) of role type named dsetconstrI_type % Using role type % Declaring dsetconstrI:Prop % FOF formula (((eq Prop) dsetconstrI) (forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) A)->((Xphi Xx)->((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy)))))))) of role definition named dsetconstrI % A new definition: (((eq Prop) dsetconstrI) (forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) A)->((Xphi Xx)->((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy)))))))) % Defined: dsetconstrI:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) A)->((Xphi Xx)->((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))))) % FOF formula (<kernel.Constant object at 0x2413ef0>, <kernel.DependentProduct object at 0x255b518>) 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 (<kernel.Constant object at 0x255b518>, <kernel.Sort object at 0x204b128>) 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 (dsetconstrI->(powersetI->(forall (Xphi:Prop), (Xphi->((in emptyset) (prop2set Xphi)))))) of role conjecture named prop2setI % Conjecture to prove = (dsetconstrI->(powersetI->(forall (Xphi:Prop), (Xphi->((in emptyset) (prop2set Xphi)))))):Prop % We need to prove ['(dsetconstrI->(powersetI->(forall (Xphi:Prop), (Xphi->((in emptyset) (prop2set Xphi))))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter emptyset:fofType. % Parameter powerset:(fofType->fofType). % Parameter dsetconstr:(fofType->((fofType->Prop)->fofType)). % Definition dsetconstrI:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) A)->((Xphi Xx)->((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))))):Prop. % Definition prop2set:=(fun (Xphi:Prop)=> ((dsetconstr (powerset emptyset)) (fun (Xx:fofType)=> Xphi))):(Prop->fofType). % Definition powersetI:=(forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) B)->((in Xx) A)))->((in B) (powerset A)))):Prop. % Trying to prove (dsetconstrI->(powersetI->(forall (Xphi:Prop), (Xphi->((in emptyset) (prop2set Xphi)))))) % Found x1:Xphi % Found x1 as proof of Xphi % Found x3:((in Xx) emptyset) % Found (fun (x3:((in Xx) emptyset))=> x3) as proof of ((in Xx) emptyset) % Found (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3) as proof of (((in Xx) emptyset)->((in Xx) emptyset)) % Found (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3) as proof of (forall (Xx:fofType), (((in Xx) emptyset)->((in Xx) emptyset))) % Found (x000 (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3)) as proof of ((in emptyset) (powerset emptyset)) % Found ((x00 emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3)) as proof of ((in emptyset) (powerset emptyset)) % Found (((x0 emptyset) emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3)) as proof of ((in emptyset) (powerset emptyset)) % Found (((x0 emptyset) emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3)) as proof of ((in emptyset) (powerset emptyset)) % Found ((x200 (((x0 emptyset) emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3))) x1) as proof of ((in emptyset) (prop2set Xphi)) % Found (((x20 emptyset) (((x0 emptyset) emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3))) x1) as proof of ((in emptyset) (prop2set Xphi)) % Found ((((x2 (fun (x6:fofType)=> Xphi)) emptyset) (((x0 emptyset) emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3))) x1) as proof of ((in emptyset) (prop2set Xphi)) % Found (((((x (powerset emptyset)) (fun (x6:fofType)=> Xphi)) emptyset) (((x0 emptyset) emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3))) x1) as proof of ((in emptyset) (prop2set Xphi)) % Found (fun (x1:Xphi)=> (((((x (powerset emptyset)) (fun (x6:fofType)=> Xphi)) emptyset) (((x0 emptyset) emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3))) x1)) as proof of ((in emptyset) (prop2set Xphi)) % Found (fun (Xphi:Prop) (x1:Xphi)=> (((((x (powerset emptyset)) (fun (x6:fofType)=> Xphi)) emptyset) (((x0 emptyset) emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3))) x1)) as proof of (Xphi->((in emptyset) (prop2set Xphi))) % Found (fun (x0:powersetI) (Xphi:Prop) (x1:Xphi)=> (((((x (powerset emptyset)) (fun (x6:fofType)=> Xphi)) emptyset) (((x0 emptyset) emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3))) x1)) as proof of (forall (Xphi:Prop), (Xphi->((in emptyset) (prop2set Xphi)))) % Found (fun (x:dsetconstrI) (x0:powersetI) (Xphi:Prop) (x1:Xphi)=> (((((x (powerset emptyset)) (fun (x6:fofType)=> Xphi)) emptyset) (((x0 emptyset) emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3))) x1)) as proof of (powersetI->(forall (Xphi:Prop), (Xphi->((in emptyset) (prop2set Xphi))))) % Found (fun (x:dsetconstrI) (x0:powersetI) (Xphi:Prop) (x1:Xphi)=> (((((x (powerset emptyset)) (fun (x6:fofType)=> Xphi)) emptyset) (((x0 emptyset) emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3))) x1)) as proof of (dsetconstrI->(powersetI->(forall (Xphi:Prop), (Xphi->((in emptyset) (prop2set Xphi)))))) % Got proof (fun (x:dsetconstrI) (x0:powersetI) (Xphi:Prop) (x1:Xphi)=> (((((x (powerset emptyset)) (fun (x6:fofType)=> Xphi)) emptyset) (((x0 emptyset) emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3))) x1)) % Time elapsed = 0.134882s % node=36 cost=207.000000 depth=15 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:dsetconstrI) (x0:powersetI) (Xphi:Prop) (x1:Xphi)=> (((((x (powerset emptyset)) (fun (x6:fofType)=> Xphi)) emptyset) (((x0 emptyset) emptyset) (fun (Xx:fofType) (x3:((in Xx) emptyset))=> x3))) x1)) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------