%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEV288^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n091.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 13:34:00 EDT 2014

% Result   : Theorem 0.41s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEV288^5 : TPTP v6.1.0. Released v4.0.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n091.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 08:44:26 CDT 2014
% % CPUTime  : 0.41 
% 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 0x1c52710>, <kernel.Type object at 0x1c52ef0>) of role type named a_type
% Using role type
% Declaring a:Type
% FOF formula (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y))) of role conjecture named cE1_eq__pme
% Conjecture to prove = (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y))):Prop
% Parameter a_DUMMY:a.
% We need to prove ['(((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y)))']
% Parameter a:Type.
% Trying to prove (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y)))
% Found eta_expansion000:=(eta_expansion00 (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))):(((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (x:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq x)->(Xq Y)))))
% Found (eta_expansion00 (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) as proof of (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y)))
% Found ((eta_expansion0 (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) as proof of (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y)))
% Found (((eta_expansion a) (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) as proof of (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y)))
% Found (((eta_expansion a) (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) as proof of (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y)))
% Got proof (((eta_expansion a) (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y)))))
% Time elapsed = 0.108020s
% node=13 cost=-280.000000 depth=3
% ::::::::::::::::::::::
% % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% (((eta_expansion a) (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y)))))
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
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