%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEU769^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n180.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 13:33:04 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  : SEU769^2 : TPTP v6.1.0. Released v3.7.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n180.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 11:25:56 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 0x243e8c0>, <kernel.DependentProduct object at 0x2006b90>) of role type named in_type
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x2437710>, <kernel.DependentProduct object at 0x2006d88>) of role type named powerset_type
% Using role type
% Declaring powerset:(fofType->fofType)
% FOF formula (<kernel.Constant object at 0x243eb00>, <kernel.DependentProduct object at 0x2006dd0>) of role type named dsetconstr_type
% Using role type
% Declaring dsetconstr:(fofType->((fofType->Prop)->fofType))
% FOF formula (<kernel.Constant object at 0x243ea28>, <kernel.Sort object at 0x1ecb3f8>) 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 0x243ea28>, <kernel.DependentProduct object at 0x2006bd8>) of role type named subset_type
% Using role type
% Declaring subset:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x243e8c0>, <kernel.DependentProduct object at 0x2006d88>) of role type named cartprod_type
% Using role type
% Declaring cartprod:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x243e8c0>, <kernel.DependentProduct object at 0x20068c0>) of role type named breln_type
% Using role type
% Declaring breln:(fofType->(fofType->(fofType->Prop)))
% FOF formula (((eq (fofType->(fofType->(fofType->Prop)))) breln) (fun (A:fofType) (B:fofType) (C:fofType)=> ((subset C) ((cartprod A) B)))) of role definition named breln
% A new definition: (((eq (fofType->(fofType->(fofType->Prop)))) breln) (fun (A:fofType) (B:fofType) (C:fofType)=> ((subset C) ((cartprod A) B))))
% Defined: breln:=(fun (A:fofType) (B:fofType) (C:fofType)=> ((subset C) ((cartprod A) B)))
% FOF formula (<kernel.Constant object at 0x20068c0>, <kernel.DependentProduct object at 0x2006758>) of role type named breln1_type
% Using role type
% Declaring breln1:(fofType->(fofType->Prop))
% FOF formula (((eq (fofType->(fofType->Prop))) breln1) (fun (A:fofType) (R:fofType)=> (((breln A) A) R))) of role definition named breln1
% A new definition: (((eq (fofType->(fofType->Prop))) breln1) (fun (A:fofType) (R:fofType)=> (((breln A) A) R)))
% Defined: breln1:=(fun (A:fofType) (R:fofType)=> (((breln A) A) R))
% FOF formula (<kernel.Constant object at 0x2006758>, <kernel.DependentProduct object at 0x2006b48>) of role type named breln1Set_type
% Using role type
% Declaring breln1Set:(fofType->fofType)
% FOF formula (((eq (fofType->fofType)) breln1Set) (fun (A:fofType)=> ((dsetconstr (powerset ((cartprod A) A))) (fun (R:fofType)=> ((breln1 A) R))))) of role definition named breln1Set
% A new definition: (((eq (fofType->fofType)) breln1Set) (fun (A:fofType)=> ((dsetconstr (powerset ((cartprod A) A))) (fun (R:fofType)=> ((breln1 A) R)))))
% Defined: breln1Set:=(fun (A:fofType)=> ((dsetconstr (powerset ((cartprod A) A))) (fun (R:fofType)=> ((breln1 A) R))))
% FOF formula (dsetconstrER->(forall (A:fofType) (R:fofType), (((in R) (breln1Set A))->((breln1 A) R)))) of role conjecture named breln1SetBreln1
% Conjecture to prove = (dsetconstrER->(forall (A:fofType) (R:fofType), (((in R) (breln1Set A))->((breln1 A) R)))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(dsetconstrER->(forall (A:fofType) (R:fofType), (((in R) (breln1Set A))->((breln1 A) R))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% 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.
% Parameter subset:(fofType->(fofType->Prop)).
% Parameter cartprod:(fofType->(fofType->fofType)).
% Definition breln:=(fun (A:fofType) (B:fofType) (C:fofType)=> ((subset C) ((cartprod A) B))):(fofType->(fofType->(fofType->Prop))).
% Definition breln1:=(fun (A:fofType) (R:fofType)=> (((breln A) A) R)):(fofType->(fofType->Prop)).
% Definition breln1Set:=(fun (A:fofType)=> ((dsetconstr (powerset ((cartprod A) A))) (fun (R:fofType)=> ((breln1 A) R)))):(fofType->fofType).
% Trying to prove (dsetconstrER->(forall (A:fofType) (R:fofType), (((in R) (breln1Set A))->((breln1 A) R))))
% Found x00:=(x0 (breln1 A)):(forall (Xx:fofType), (((in Xx) ((dsetconstr (powerset ((cartprod A) A))) (fun (Xy:fofType)=> ((breln1 A) Xy))))->((breln1 A) Xx)))
% Found (x0 (breln1 A)) as proof of (forall (R:fofType), (((in R) (breln1Set A))->((breln1 A) R)))
% Found ((x (powerset ((cartprod A) A))) (breln1 A)) as proof of (forall (R:fofType), (((in R) (breln1Set A))->((breln1 A) R)))
% Found (fun (A:fofType)=> ((x (powerset ((cartprod A) A))) (breln1 A))) as proof of (forall (R:fofType), (((in R) (breln1Set A))->((breln1 A) R)))
% Found (fun (x:dsetconstrER) (A:fofType)=> ((x (powerset ((cartprod A) A))) (breln1 A))) as proof of (forall (A:fofType) (R:fofType), (((in R) (breln1Set A))->((breln1 A) R)))
% Found (fun (x:dsetconstrER) (A:fofType)=> ((x (powerset ((cartprod A) A))) (breln1 A))) as proof of (dsetconstrER->(forall (A:fofType) (R:fofType), (((in R) (breln1Set A))->((breln1 A) R))))
% Got proof (fun (x:dsetconstrER) (A:fofType)=> ((x (powerset ((cartprod A) A))) (breln1 A)))
% Time elapsed = 0.071437s
% node=6 cost=-184.000000 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) (A:fofType)=> ((x (powerset ((cartprod A) A))) (breln1 A)))
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------