TSTP Solution File: SEU801^2 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEU801^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n107.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 13:33:10 EDT 2014
% Result : Theorem 0.42s
% Output : Proof 0.42s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SEU801^2 : TPTP v6.1.0. Released v3.7.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n107.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 11:31:06 CDT 2014
% % CPUTime : 0.42
% 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 0x275bcf8>, <kernel.DependentProduct object at 0x2b8c320>) of role type named in_type
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x275b998>, <kernel.DependentProduct object at 0x2b8ce18>) of role type named dsetconstr_type
% Using role type
% Declaring dsetconstr:(fofType->((fofType->Prop)->fofType))
% FOF formula (<kernel.Constant object at 0x275bab8>, <kernel.Sort object at 0x2625128>) 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 0x275bab8>, <kernel.DependentProduct object at 0x2b8c2d8>) of role type named funcSet_type
% Using role type
% Declaring funcSet:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x275bcf8>, <kernel.DependentProduct object at 0x2b8c320>) of role type named ap_type
% Using role type
% Declaring ap:(fofType->(fofType->(fofType->(fofType->fofType))))
% FOF formula (<kernel.Constant object at 0x275bcf8>, <kernel.DependentProduct object at 0x2b8ce18>) 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 (<kernel.Constant object at 0x2b8c320>, <kernel.DependentProduct object at 0x2b383f8>) of role type named surjFuncSet_type
% Using role type
% Declaring surjFuncSet:(fofType->(fofType->fofType))
% FOF formula (((eq (fofType->(fofType->fofType))) surjFuncSet) (fun (A:fofType) (B:fofType)=> ((dsetconstr ((funcSet A) B)) (fun (Xf:fofType)=> (((surjective A) B) Xf))))) of role definition named surjFuncSet
% A new definition: (((eq (fofType->(fofType->fofType))) surjFuncSet) (fun (A:fofType) (B:fofType)=> ((dsetconstr ((funcSet A) B)) (fun (Xf:fofType)=> (((surjective A) B) Xf)))))
% Defined: surjFuncSet:=(fun (A:fofType) (B:fofType)=> ((dsetconstr ((funcSet A) B)) (fun (Xf:fofType)=> (((surjective A) B) Xf))))
% FOF formula (dsetconstrEL->(forall (A:fofType) (B:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet A) B))->((in Xf) ((funcSet A) B))))) of role conjecture named surjFuncSetFuncIn
% Conjecture to prove = (dsetconstrEL->(forall (A:fofType) (B:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet A) B))->((in Xf) ((funcSet A) B))))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(dsetconstrEL->(forall (A:fofType) (B:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet A) B))->((in Xf) ((funcSet A) B)))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% 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.
% 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))).
% Definition surjFuncSet:=(fun (A:fofType) (B:fofType)=> ((dsetconstr ((funcSet A) B)) (fun (Xf:fofType)=> (((surjective A) B) Xf)))):(fofType->(fofType->fofType)).
% Trying to prove (dsetconstrEL->(forall (A:fofType) (B:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet A) B))->((in Xf) ((funcSet A) B)))))
% Found x00:=(x0 ((surjective A) B)):(forall (Xx:fofType), (((in Xx) ((dsetconstr ((funcSet A) B)) (fun (Xy:fofType)=> (((surjective A) B) Xy))))->((in Xx) ((funcSet A) B))))
% Found (x0 ((surjective A) B)) as proof of (forall (Xf:fofType), (((in Xf) ((surjFuncSet A) B))->((in Xf) ((funcSet A) B))))
% Found ((x ((funcSet A) B)) ((surjective A) B)) as proof of (forall (Xf:fofType), (((in Xf) ((surjFuncSet A) B))->((in Xf) ((funcSet A) B))))
% Found (fun (B:fofType)=> ((x ((funcSet A) B)) ((surjective A) B))) as proof of (forall (Xf:fofType), (((in Xf) ((surjFuncSet A) B))->((in Xf) ((funcSet A) B))))
% Found (fun (A:fofType) (B:fofType)=> ((x ((funcSet A) B)) ((surjective A) B))) as proof of (forall (B:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet A) B))->((in Xf) ((funcSet A) B))))
% Found (fun (x:dsetconstrEL) (A:fofType) (B:fofType)=> ((x ((funcSet A) B)) ((surjective A) B))) as proof of (forall (A:fofType) (B:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet A) B))->((in Xf) ((funcSet A) B))))
% Found (fun (x:dsetconstrEL) (A:fofType) (B:fofType)=> ((x ((funcSet A) B)) ((surjective A) B))) as proof of (dsetconstrEL->(forall (A:fofType) (B:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet A) B))->((in Xf) ((funcSet A) B)))))
% Got proof (fun (x:dsetconstrEL) (A:fofType) (B:fofType)=> ((x ((funcSet A) B)) ((surjective A) B)))
% Time elapsed = 0.082791s
% node=6 cost=-179.000000 depth=5
% ::::::::::::::::::::::
% % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% (fun (x:dsetconstrEL) (A:fofType) (B:fofType)=> ((x ((funcSet A) B)) ((surjective A) B)))
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------