TSTP Solution File: SEU997^5 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEU997^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n096.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 13:33:30 EDT 2014
% Result : Timeout 300.04s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SEU997^5 : TPTP v6.1.0. Released v4.0.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n096.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 11:49:41 CDT 2014
% % CPUTime : 300.04
% 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 0xfabdd0>, <kernel.Type object at 0xfab3f8>) of role type named a_type
% Using role type
% Declaring a:Type
% FOF formula (forall (JOIN:(a->(a->a))) (MEET:(a->(a->a))) (TOP:a) (BOTTOM:a), (((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and (forall (Xx:a), (((eq a) ((JOIN Xx) Xx)) Xx))) (forall (Xx:a), (((eq a) ((MEET Xx) Xx)) Xx)))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((JOIN ((JOIN Xx) Xy)) Xz)) ((JOIN Xx) ((JOIN Xy) Xz)))))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((MEET ((MEET Xx) Xy)) Xz)) ((MEET Xx) ((MEET Xy) Xz)))))) (forall (Xx:a) (Xy:a), (((eq a) ((JOIN Xx) Xy)) ((JOIN Xy) Xx))))) (forall (Xx:a) (Xy:a), (((eq a) ((MEET Xx) Xy)) ((MEET Xy) Xx))))) (forall (Xx:a) (Xy:a), (((eq a) ((JOIN ((MEET Xx) Xy)) Xy)) Xy)))) (forall (Xx:a) (Xy:a), (((eq a) ((MEET ((JOIN Xx) Xy)) Xy)) Xy)))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((MEET Xx) ((JOIN Xy) Xz))) ((JOIN ((MEET Xx) Xy)) ((MEET Xx) Xz)))))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((JOIN Xx) ((MEET Xy) Xz))) ((MEET ((JOIN Xx) Xy)) ((JOIN Xx) Xz)))))) (forall (Xx:a), (((eq a) ((MEET TOP) Xx)) Xx)))) (forall (Xx:a), (((eq a) ((JOIN TOP) Xx)) TOP)))) (forall (Xx:a), (((eq a) ((MEET BOTTOM) Xx)) BOTTOM)))) (forall (Xx:a), (((eq a) ((JOIN BOTTOM) Xx)) Xx)))) (forall (Xx:a), ((ex a) (fun (Xy:a)=> ((and (((eq a) ((JOIN Xx) Xy)) TOP)) (((eq a) ((MEET Xx) Xy)) BOTTOM))))))->(forall (Xx:a) (Xy:a) (Xz:a), (((and ((and ((and (((eq a) ((JOIN Xx) Xy)) TOP)) (((eq a) ((MEET Xx) Xy)) BOTTOM))) (((eq a) ((JOIN Xx) Xz)) TOP))) (((eq a) ((MEET Xx) Xz)) BOTTOM))->(((eq a) Xy) Xz))))) of role conjecture named cCD_LATTICE_THM_pme
% Conjecture to prove = (forall (JOIN:(a->(a->a))) (MEET:(a->(a->a))) (TOP:a) (BOTTOM:a), (((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and (forall (Xx:a), (((eq a) ((JOIN Xx) Xx)) Xx))) (forall (Xx:a), (((eq a) ((MEET Xx) Xx)) Xx)))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((JOIN ((JOIN Xx) Xy)) Xz)) ((JOIN Xx) ((JOIN Xy) Xz)))))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((MEET ((MEET Xx) Xy)) Xz)) ((MEET Xx) ((MEET Xy) Xz)))))) (forall (Xx:a) (Xy:a), (((eq a) ((JOIN Xx) Xy)) ((JOIN Xy) Xx))))) (forall (Xx:a) (Xy:a), (((eq a) ((MEET Xx) Xy)) ((MEET Xy) Xx))))) (forall (Xx:a) (Xy:a), (((eq a) ((JOIN ((MEET Xx) Xy)) Xy)) Xy)))) (forall (Xx:a) (Xy:a), (((eq a) ((MEET ((JOIN Xx) Xy)) Xy)) Xy)))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((MEET Xx) ((JOIN Xy) Xz))) ((JOIN ((MEET Xx) Xy)) ((MEET Xx) Xz)))))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((JOIN Xx) ((MEET Xy) Xz))) ((MEET ((JOIN Xx) Xy)) ((JOIN Xx) Xz)))))) (forall (Xx:a), (((eq a) ((MEET TOP) Xx)) Xx)))) (forall (Xx:a), (((eq a) ((JOIN TOP) Xx)) TOP)))) (forall (Xx:a), (((eq a) ((MEET BOTTOM) Xx)) BOTTOM)))) (forall (Xx:a), (((eq a) ((JOIN BOTTOM) Xx)) Xx)))) (forall (Xx:a), ((ex a) (fun (Xy:a)=> ((and (((eq a) ((JOIN Xx) Xy)) TOP)) (((eq a) ((MEET Xx) Xy)) BOTTOM))))))->(forall (Xx:a) (Xy:a) (Xz:a), (((and ((and ((and (((eq a) ((JOIN Xx) Xy)) TOP)) (((eq a) ((MEET Xx) Xy)) BOTTOM))) (((eq a) ((JOIN Xx) Xz)) TOP))) (((eq a) ((MEET Xx) Xz)) BOTTOM))->(((eq a) Xy) Xz))))):Prop
% Parameter a_DUMMY:a.
% We need to prove ['(forall (JOIN:(a->(a->a))) (MEET:(a->(a->a))) (TOP:a) (BOTTOM:a), (((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and (forall (Xx:a), (((eq a) ((JOIN Xx) Xx)) Xx))) (forall (Xx:a), (((eq a) ((MEET Xx) Xx)) Xx)))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((JOIN ((JOIN Xx) Xy)) Xz)) ((JOIN Xx) ((JOIN Xy) Xz)))))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((MEET ((MEET Xx) Xy)) Xz)) ((MEET Xx) ((MEET Xy) Xz)))))) (forall (Xx:a) (Xy:a), (((eq a) ((JOIN Xx) Xy)) ((JOIN Xy) Xx))))) (forall (Xx:a) (Xy:a), (((eq a) ((MEET Xx) Xy)) ((MEET Xy) Xx))))) (forall (Xx:a) (Xy:a), (((eq a) ((JOIN ((MEET Xx) Xy)) Xy)) Xy)))) (forall (Xx:a) (Xy:a), (((eq a) ((MEET ((JOIN Xx) Xy)) Xy)) Xy)))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((MEET Xx) ((JOIN Xy) Xz))) ((JOIN ((MEET Xx) Xy)) ((MEET Xx) Xz)))))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((JOIN Xx) ((MEET Xy) Xz))) ((MEET ((JOIN Xx) Xy)) ((JOIN Xx) Xz)))))) (forall (Xx:a), (((eq a) ((MEET TOP) Xx)) Xx)))) (forall (Xx:a), (((eq a) ((JOIN TOP) Xx)) TOP)))) (forall (Xx:a), (((eq a) ((MEET BOTTOM) Xx)) BOTTOM)))) (forall (Xx:a), (((eq a) ((JOIN BOTTOM) Xx)) Xx)))) (forall (Xx:a), ((ex a) (fun (Xy:a)=> ((and (((eq a) ((JOIN Xx) Xy)) TOP)) (((eq a) ((MEET Xx) Xy)) BOTTOM))))))->(forall (Xx:a) (Xy:a) (Xz:a), (((and ((and ((and (((eq a) ((JOIN Xx) Xy)) TOP)) (((eq a) ((MEET Xx) Xy)) BOTTOM))) (((eq a) ((JOIN Xx) Xz)) TOP))) (((eq a) ((MEET Xx) Xz)) BOTTOM))->(((eq a) Xy) Xz)))))']
% Parameter a:Type.
% Trying to prove (forall (JOIN:(a->(a->a))) (MEET:(a->(a->a))) (TOP:a) (BOTTOM:a), (((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and (forall (Xx:a), (((eq a) ((JOIN Xx) Xx)) Xx))) (forall (Xx:a), (((eq a) ((MEET Xx) Xx)) Xx)))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((JOIN ((JOIN Xx) Xy)) Xz)) ((JOIN Xx) ((JOIN Xy) Xz)))))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((MEET ((MEET Xx) Xy)) Xz)) ((MEET Xx) ((MEET Xy) Xz)))))) (forall (Xx:a) (Xy:a), (((eq a) ((JOIN Xx) Xy)) ((JOIN Xy) Xx))))) (forall (Xx:a) (Xy:a), (((eq a) ((MEET Xx) Xy)) ((MEET Xy) Xx))))) (forall (Xx:a) (Xy:a), (((eq a) ((JOIN ((MEET Xx) Xy)) Xy)) Xy)))) (forall (Xx:a) (Xy:a), (((eq a) ((MEET ((JOIN Xx) Xy)) Xy)) Xy)))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((MEET Xx) ((JOIN Xy) Xz))) ((JOIN ((MEET Xx) Xy)) ((MEET Xx) Xz)))))) (forall (Xx:a) (Xy:a) (Xz:a), (((eq a) ((JOIN Xx) ((MEET Xy) Xz))) ((MEET ((JOIN Xx) Xy)) ((JOIN Xx) Xz)))))) (forall (Xx:a), (((eq a) ((MEET TOP) Xx)) Xx)))) (forall (Xx:a), (((eq a) ((JOIN TOP) Xx)) TOP)))) (forall (Xx:a), (((eq a) ((MEET BOTTOM) Xx)) BOTTOM)))) (forall (Xx:a), (((eq a) ((JOIN BOTTOM) Xx)) Xx)))) (forall (Xx:a), ((ex a) (fun (Xy:a)=> ((and (((eq a) ((JOIN Xx) Xy)) TOP)) (((eq a) ((MEET Xx) Xy)) BOTTOM))))))->(forall (Xx:a) (Xy:a) (Xz:a), (((and ((and ((and (((eq a) ((JOIN Xx) Xy)) TOP)) (((eq a) ((MEET Xx) Xy)) BOTTOM))) (((eq a) ((JOIN Xx) Xz)) TOP))) (((eq a) ((MEET Xx) Xz)) BOTTOM))->(((eq a) Xy) Xz)))))
% Found eq_ref000:=(eq_ref00 P):((P Xy)->(P Xy))
% Found (eq_ref00 P) as proof of (P0 Xy)
% Found ((eq_ref0 Xy) P) as proof of (P0 Xy)
% Found (((eq_ref a) Xy) P) as proof of (P0 Xy)
% Found (((eq_ref a) Xy) P) as proof of (P0 Xy)
% Found eq_ref00:=(eq_ref0 Xy):(((eq a) Xy) Xy)
% Found (eq_ref0 Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found eq_ref00:=(eq_ref0 b):(((eq a) b) b)
% Found (eq_ref0 b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found x20:=(x2 (fun (x3:a)=> (P Xy))):((P Xy)->(P Xy))
% Found (x2 (fun (x3:a)=> (P Xy))) as proof of (P0 Xy)
% Found (x2 (fun (x3:a)=> (P Xy))) as proof of (P0 Xy)
% Found eq_ref000:=(eq_ref00 P):((P Xy)->(P Xy))
% Found (eq_ref00 P) as proof of (P0 Xy)
% Found ((eq_ref0 Xy) P) as proof of (P0 Xy)
% Found (((eq_ref a) Xy) P) as proof of (P0 Xy)
% Found (((eq_ref a) Xy) P) as proof of (P0 Xy)
% Found eq_ref00:=(eq_ref0 Xy):(((eq a) Xy) Xy)
% Found (eq_ref0 Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found eq_ref00:=(eq_ref0 b):(((eq a) b) b)
% Found (eq_ref0 b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found eq_ref00:=(eq_ref0 Xy):(((eq a) Xy) Xy)
% Found (eq_ref0 Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found eq_ref00:=(eq_ref0 b):(((eq a) b) b)
% Found (eq_ref0 b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found eq_ref00:=(eq_ref0 Xz):(((eq a) Xz) Xz)
% Found (eq_ref0 Xz) as proof of (((eq a) Xz) b)
% Found ((eq_ref a) Xz) as proof of (((eq a) Xz) b)
% Found ((eq_ref a) Xz) as proof of (((eq a) Xz) b)
% Found ((eq_ref a) Xz) as proof of (((eq a) Xz) b)
% Found eq_ref00:=(eq_ref0 b):(((eq a) b) b)
% Found (eq_ref0 b) as proof of (((eq a) b) Xy)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xy)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xy)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xy)
% Found x20:=(x2 (fun (x5:a)=> (P Xy))):((P Xy)->(P Xy))
% Found (x2 (fun (x5:a)=> (P Xy))) as proof of (P0 Xy)
% Found (x2 (fun (x5:a)=> (P Xy))) as proof of (P0 Xy)
% Found eq_ref000:=(eq_ref00 P):((P Xy)->(P Xy))
% Found (eq_ref00 P) as proof of (P0 Xy)
% Found ((eq_ref0 Xy) P) as proof of (P0 Xy)
% Found (((eq_ref a) Xy) P) as proof of (P0 Xy)
% Found (((eq_ref a) Xy) P) as proof of (P0 Xy)
% Found x20:=(x2 (fun (x5:a)=> (P Xy))):((P Xy)->(P Xy))
% Found (x2 (fun (x5:a)=> (P Xy))) as proof of (P0 Xy)
% Found (x2 (fun (x5:a)=> (P Xy))) as proof of (P0 Xy)
% Found x40:=(x4 (fun (x5:a)=> (P Xy))):((P Xy)->(P Xy))
% Found (x4 (fun (x5:a)=> (P Xy))) as proof of (P0 Xy)
% Found (x4 (fun (x5:a)=> (P Xy))) as proof of (P0 Xy)
% Found eq_ref00:=(eq_ref0 Xy):(((eq a) Xy) Xy)
% Found (eq_ref0 Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found eq_ref00:=(eq_ref0 b):(((eq a) b) b)
% Found (eq_ref0 b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found eq_ref00:=(eq_ref0 Xz):(((eq a) Xz) Xz)
% Found (eq_ref0 Xz) as proof of (((eq a) Xz) b)
% Found ((eq_ref a) Xz) as proof of (((eq a) Xz) b)
% Found ((eq_ref a) Xz) as proof of (((eq a) Xz) b)
% Found ((eq_ref a) Xz) as proof of (((eq a) Xz) b)
% Found eq_ref00:=(eq_ref0 b):(((eq a) b) b)
% Found (eq_ref0 b) as proof of (((eq a) b) Xy)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xy)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xy)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xy)
% Found eq_ref00:=(eq_ref0 Xy):(((eq a) Xy) Xy)
% Found (eq_ref0 Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found eq_ref00:=(eq_ref0 b):(((eq a) b) b)
% Found (eq_ref0 b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found eq_ref00:=(eq_ref0 Xz):(((eq a) Xz) Xz)
% Found (eq_ref0 Xz) as proof of (((eq a) Xz) b)
% Found ((eq_ref a) Xz) as proof of (((eq a) Xz) b)
% Found ((eq_ref a) Xz) as proof of (((eq a) Xz) b)
% Found ((eq_ref a) Xz) as proof of (((eq a) Xz) b)
% Found eq_ref00:=(eq_ref0 b):(((eq a) b) b)
% Found (eq_ref0 b) as proof of (((eq a) b) Xy)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xy)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xy)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xy)
% Found eq_ref00:=(eq_ref0 b):(((eq a) b) b)
% Found (eq_ref0 b) as proof of (((eq a) b) Xy)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xy)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xy)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xy)
% Found eq_ref00:=(eq_ref0 Xz):(((eq a) Xz) Xz)
% Found (eq_ref0 Xz) as proof of (((eq a) Xz) b)
% Found ((eq_ref a) Xz) as proof of (((eq a) Xz) b)
% Found ((eq_ref a) Xz) as proof of (((eq a) Xz) b)
% Found ((eq_ref a) Xz) as proof of (((eq a) Xz) b)
% Found eq_ref00:=(eq_ref0 Xy):(((eq a) Xy) Xy)
% Found (eq_ref0 Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found ((eq_ref a) Xy) as proof of (((eq a) Xy) b)
% Found eq_ref00:=(eq_ref0 b):(((eq a) b) b)
% Found (eq_ref0 b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a) b) Xz)
% Found ((eq_ref a) b) as proof of (((eq a)
% EOF
%------------------------------------------------------------------------------