%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SWV402+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n011.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 23:04:13 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV402+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 01:04:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.50  Zenon warning: unused variable (U : zenon_U) in zenon_G
% 0.18/0.50  (* PROOF-FOUND *)
% 0.18/0.50  % SZS status Theorem
% 0.18/0.50  (* BEGIN-PROOF *)
% 0.18/0.50  % SZS output start Proof
% 0.18/0.50  Theorem l38_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list (create_slb) V W)/\(strictly_less_than W X))->(pair_in_list (update_slb (create_slb) X) V X)))))).
% 0.18/0.50  Proof.
% 0.18/0.50  apply NNPP. intro zenon_G.
% 0.18/0.50  apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list (create_slb) V W)/\(strictly_less_than W X))->(pair_in_list (update_slb (create_slb) X) V X)))))) zenon_G); [ zenon_intro zenon_H13; idtac ].
% 0.18/0.50  elim zenon_H13. zenon_intro zenon_TU_u. zenon_intro zenon_H15.
% 0.18/0.50  apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list (create_slb) V W)/\(strictly_less_than W X))->(pair_in_list (update_slb (create_slb) X) V X))))) zenon_H15); [ zenon_intro zenon_H16; idtac ].
% 0.18/0.50  elim zenon_H16. zenon_intro zenon_TV_x. zenon_intro zenon_H18.
% 0.18/0.50  apply (zenon_notallex_s (fun W : zenon_U => (forall X : zenon_U, (((pair_in_list (create_slb) zenon_TV_x W)/\(strictly_less_than W X))->(pair_in_list (update_slb (create_slb) X) zenon_TV_x X)))) zenon_H18); [ zenon_intro zenon_H19; idtac ].
% 0.18/0.50  elim zenon_H19. zenon_intro zenon_TW_ba. zenon_intro zenon_H1b.
% 0.18/0.50  apply (zenon_notallex_s (fun X : zenon_U => (((pair_in_list (create_slb) zenon_TV_x zenon_TW_ba)/\(strictly_less_than zenon_TW_ba X))->(pair_in_list (update_slb (create_slb) X) zenon_TV_x X))) zenon_H1b); [ zenon_intro zenon_H1c; idtac ].
% 0.18/0.50  elim zenon_H1c. zenon_intro zenon_TX_bd. zenon_intro zenon_H1e.
% 0.18/0.50  apply (zenon_notimply_s _ _ zenon_H1e). zenon_intro zenon_H20. zenon_intro zenon_H1f.
% 0.18/0.50  apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H22. zenon_intro zenon_H21.
% 0.18/0.50  generalize (ax22 zenon_TV_x). zenon_intro zenon_H23.
% 0.18/0.50  generalize (zenon_H23 zenon_TW_ba). zenon_intro zenon_H24.
% 0.18/0.50  exact (zenon_H24 zenon_H22).
% 0.18/0.50  Qed.
% 0.18/0.50  % SZS output end Proof
% 0.18/0.50  (* END-PROOF *)
% 0.18/0.50  nodes searched: 219
% 0.18/0.50  max branch formulas: 163
% 0.18/0.50  proof nodes created: 25
% 0.18/0.50  formulas created: 1349
% 0.18/0.50  
%------------------------------------------------------------------------------