TSTP Solution File: SEU804^2 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEU804^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n189.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 13:33:11 EDT 2014
% Result : Unknown 0.55s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SEU804^2 : TPTP v6.1.0. Released v3.7.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n189.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 11:31:26 CDT 2014
% % CPUTime : 0.55
% 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 0xd113f8>, <kernel.DependentProduct object at 0xd11878>) of role type named in_type
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x9fcea8>, <kernel.DependentProduct object at 0xd11638>) of role type named powerset_type
% Using role type
% Declaring powerset:(fofType->fofType)
% FOF formula (<kernel.Constant object at 0xd11098>, <kernel.DependentProduct object at 0xd116c8>) of role type named dsetconstr_type
% Using role type
% Declaring dsetconstr:(fofType->((fofType->Prop)->fofType))
% FOF formula (<kernel.Constant object at 0xd11710>, <kernel.Sort object at 0x9f85a8>) 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 0xd115a8>, <kernel.Sort object at 0x9f85a8>) 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 0xd11b48>, <kernel.Sort object at 0x9f85a8>) 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 0xd11638>, <kernel.Sort object at 0x9f85a8>) 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 (<kernel.Constant object at 0xd11248>, <kernel.DependentProduct object at 0xd11998>) of role type named funcSet_type
% Using role type
% Declaring funcSet:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0xd111b8>, <kernel.DependentProduct object at 0xf5f878>) of role type named ap_type
% Using role type
% Declaring ap:(fofType->(fofType->(fofType->(fofType->fofType))))
% FOF formula (<kernel.Constant object at 0xd11908>, <kernel.DependentProduct object at 0xd11248>) of role type named surjective_type
% Using role type
% Declaring surjective:(fofType->(fofType->(fofType->Prop)))
% FOF formula (((eq (fofType->(fofType->(fofType->Prop)))) surjective) (fun (A:fofType) (B:fofType) (Xf:fofType)=> (forall (Xx:fofType), (((in Xx) B)->((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) ((((ap A) B) Xf) Xy)) Xx)))))))) of role definition named surjective
% A new definition: (((eq (fofType->(fofType->(fofType->Prop)))) surjective) (fun (A:fofType) (B:fofType) (Xf:fofType)=> (forall (Xx:fofType), (((in Xx) B)->((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) ((((ap A) B) Xf) Xy)) Xx))))))))
% Defined: surjective:=(fun (A:fofType) (B:fofType) (Xf:fofType)=> (forall (Xx:fofType), (((in Xx) B)->((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) ((((ap A) B) Xf) Xy)) Xx)))))))
% FOF formula (dsetconstrI->(dsetconstrEL->(dsetconstrER->(powersetI->(forall (A:fofType) (Xf:fofType), (((in Xf) ((funcSet A) (powerset A)))->((((surjective A) (powerset A)) Xf)->False))))))) of role conjecture named surjCantorThm
% Conjecture to prove = (dsetconstrI->(dsetconstrEL->(dsetconstrER->(powersetI->(forall (A:fofType) (Xf:fofType), (((in Xf) ((funcSet A) (powerset A)))->((((surjective A) (powerset A)) Xf)->False))))))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(dsetconstrI->(dsetconstrEL->(dsetconstrER->(powersetI->(forall (A:fofType) (Xf:fofType), (((in Xf) ((funcSet A) (powerset A)))->((((surjective A) (powerset A)) Xf)->False)))))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% 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 dsetconstrEL:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->((in Xx) A))):Prop.
% Definition dsetconstrER:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->(Xphi Xx))):Prop.
% Definition powersetI:=(forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) B)->((in Xx) A)))->((in B) (powerset A)))):Prop.
% Parameter funcSet:(fofType->(fofType->fofType)).
% Parameter ap:(fofType->(fofType->(fofType->(fofType->fofType)))).
% Definition surjective:=(fun (A:fofType) (B:fofType) (Xf:fofType)=> (forall (Xx:fofType), (((in Xx) B)->((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) ((((ap A) B) Xf) Xy)) Xx))))))):(fofType->(fofType->(fofType->Prop))).
% Trying to prove (dsetconstrI->(dsetconstrEL->(dsetconstrER->(powersetI->(forall (A:fofType) (Xf:fofType), (((in Xf) ((funcSet A) (powerset A)))->((((surjective A) (powerset A)) Xf)->False)))))))
% % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------