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cocATP---0.2.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEU883^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n110.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 13:33:19 EDT 2014

% Result   : Theorem 0.49s
% Output   : Proof 0.49s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEU883^5 : TPTP v6.1.0. Released v4.0.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n110.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 11:40:31 CDT 2014
% % CPUTime  : 0.49 
% 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 0x137e5f0>, <kernel.Type object at 0x137e758>) of role type named b_type
% Using role type
% Declaring b:Type
% FOF formula (<kernel.Constant object at 0x137ea70>, <kernel.Type object at 0x1243e18>) of role type named a_type
% Using role type
% Declaring a:Type
% FOF formula (<kernel.Constant object at 0x137e998>, <kernel.DependentProduct object at 0x17b88c0>) of role type named f
% Using role type
% Declaring f:(b->a)
% FOF formula (<kernel.Constant object at 0x1243bd8>, <kernel.DependentProduct object at 0x17b88c0>) of role type named g
% Using role type
% Declaring g:(b->Prop)
% FOF formula (((eq (a->Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))) (fun (Xz:a)=> ((ex b) (fun (Xt:b)=> ((and (g Xt)) (((eq a) Xz) (f Xt))))))) of role conjecture named cX5212_pme
% Conjecture to prove = (((eq (a->Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))) (fun (Xz:a)=> ((ex b) (fun (Xt:b)=> ((and (g Xt)) (((eq a) Xz) (f Xt))))))):Prop
% Parameter b_DUMMY:b.
% Parameter a_DUMMY:a.
% We need to prove ['(((eq (a->Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))) (fun (Xz:a)=> ((ex b) (fun (Xt:b)=> ((and (g Xt)) (((eq a) Xz) (f Xt)))))))']
% Parameter b:Type.
% Parameter a:Type.
% Parameter f:(b->a).
% Parameter g:(b->Prop).
% Trying to prove (((eq (a->Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))) (fun (Xz:a)=> ((ex b) (fun (Xt:b)=> ((and (g Xt)) (((eq a) Xz) (f Xt)))))))
% Found eta_expansion_dep000:=(eta_expansion_dep00 (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))):(((eq (a->Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))) (fun (x:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) x) (f Xx)))))))
% Found (eta_expansion_dep00 (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))) as proof of (((eq (a->Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))) (fun (Xz:a)=> ((ex b) (fun (Xt:b)=> ((and (g Xt)) (((eq a) Xz) (f Xt)))))))
% Found ((eta_expansion_dep0 (fun (x1:a)=> Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))) as proof of (((eq (a->Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))) (fun (Xz:a)=> ((ex b) (fun (Xt:b)=> ((and (g Xt)) (((eq a) Xz) (f Xt)))))))
% Found (((eta_expansion_dep a) (fun (x1:a)=> Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))) as proof of (((eq (a->Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))) (fun (Xz:a)=> ((ex b) (fun (Xt:b)=> ((and (g Xt)) (((eq a) Xz) (f Xt)))))))
% Found (((eta_expansion_dep a) (fun (x1:a)=> Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))) as proof of (((eq (a->Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx))))))) (fun (Xz:a)=> ((ex b) (fun (Xt:b)=> ((and (g Xt)) (((eq a) Xz) (f Xt)))))))
% Got proof (((eta_expansion_dep a) (fun (x1:a)=> Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx)))))))
% Time elapsed = 0.169409s
% node=11 cost=-282.000000 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_dep a) (fun (x1:a)=> Prop)) (fun (Xz:a)=> ((ex b) (fun (Xx:b)=> ((and (g Xx)) (((eq a) Xz) (f Xx)))))))
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------