%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SWV392+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 23:04:11 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV392+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13  % Command  : run_zenon %s %d
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun 16 02:51:50 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.52  (* PROOF-FOUND *)
% 0.20/0.52  % SZS status Theorem
% 0.20/0.52  (* BEGIN-PROOF *)
% 0.20/0.52  % SZS output start Proof
% 0.20/0.52  Theorem l28_co : (forall U : zenon_U, (forall V : zenon_U, ((pair_in_list (create_slb) U V)->(forall W : zenon_U, ((contains_slb (create_slb) W)->((pair_in_list (remove_slb (create_slb) W) U V)\/(U = W))))))).
% 0.20/0.52  Proof.
% 0.20/0.52  apply NNPP. intro zenon_G.
% 0.20/0.52  apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, ((pair_in_list (create_slb) U V)->(forall W : zenon_U, ((contains_slb (create_slb) W)->((pair_in_list (remove_slb (create_slb) W) U V)\/(U = W))))))) zenon_G); [ zenon_intro zenon_H13; idtac ].
% 0.20/0.52  elim zenon_H13. zenon_intro zenon_TU_u. zenon_intro zenon_H15.
% 0.20/0.52  apply (zenon_notallex_s (fun V : zenon_U => ((pair_in_list (create_slb) zenon_TU_u V)->(forall W : zenon_U, ((contains_slb (create_slb) W)->((pair_in_list (remove_slb (create_slb) W) zenon_TU_u V)\/(zenon_TU_u = W)))))) zenon_H15); [ zenon_intro zenon_H16; idtac ].
% 0.20/0.52  elim zenon_H16. zenon_intro zenon_TV_x. zenon_intro zenon_H18.
% 0.20/0.52  apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.20/0.52  apply (zenon_notallex_s (fun W : zenon_U => ((contains_slb (create_slb) W)->((pair_in_list (remove_slb (create_slb) W) zenon_TU_u zenon_TV_x)\/(zenon_TU_u = W)))) zenon_H19); [ zenon_intro zenon_H1b; idtac ].
% 0.20/0.52  elim zenon_H1b. zenon_intro zenon_TW_bc. zenon_intro zenon_H1d.
% 0.20/0.52  apply (zenon_notimply_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.20/0.52  generalize (ax20 zenon_TW_bc). zenon_intro zenon_H20.
% 0.20/0.52  exact (zenon_H20 zenon_H1f).
% 0.20/0.52  Qed.
% 0.20/0.52  % SZS output end Proof
% 0.20/0.52  (* END-PROOF *)
% 0.20/0.52  nodes searched: 74
% 0.20/0.52  max branch formulas: 91
% 0.20/0.52  proof nodes created: 7
% 0.20/0.52  formulas created: 763
% 0.20/0.52  
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