%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SWV395+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n028.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 23:04:12 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV395+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : run_zenon %s %d
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun 14 17:51:09 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.53  Zenon warning: unused variable (X : zenon_U) in ax47
% 0.20/0.53  Zenon warning: unused variable (X : zenon_U) in ax48
% 0.20/0.53  Zenon warning: unused variable (X : zenon_U) in ax49
% 0.20/0.53  Zenon warning: unused variable (X : zenon_U) in ax51
% 0.20/0.53  (* PROOF-FOUND *)
% 0.20/0.53  % SZS status Theorem
% 0.20/0.53  (* BEGIN-PROOF *)
% 0.20/0.53  % SZS output start Proof
% 0.20/0.53  Theorem l31_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list (create_slb) W X)/\((strictly_less_than W X)/\(ok (remove_cpq (triple U (create_slb) V) W))))->(pair_in_list (remove_slb (create_slb) W) W X)))))).
% 0.20/0.53  Proof.
% 0.20/0.53  apply NNPP. intro zenon_G.
% 0.20/0.53  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) W X)/\((strictly_less_than W X)/\(ok (remove_cpq (triple U (create_slb) V) W))))->(pair_in_list (remove_slb (create_slb) W) W X)))))) zenon_G); [ zenon_intro zenon_H2a; idtac ].
% 0.20/0.53  elim zenon_H2a. zenon_intro zenon_TU_br. zenon_intro zenon_H2c.
% 0.20/0.53  apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list (create_slb) W X)/\((strictly_less_than W X)/\(ok (remove_cpq (triple zenon_TU_br (create_slb) V) W))))->(pair_in_list (remove_slb (create_slb) W) W X))))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ].
% 0.20/0.53  elim zenon_H2d. zenon_intro zenon_TV_bu. zenon_intro zenon_H2f.
% 0.20/0.53  apply (zenon_notallex_s (fun W : zenon_U => (forall X : zenon_U, (((pair_in_list (create_slb) W X)/\((strictly_less_than W X)/\(ok (remove_cpq (triple zenon_TU_br (create_slb) zenon_TV_bu) W))))->(pair_in_list (remove_slb (create_slb) W) W X)))) zenon_H2f); [ zenon_intro zenon_H30; idtac ].
% 0.20/0.53  elim zenon_H30. zenon_intro zenon_TW_bx. zenon_intro zenon_H32.
% 0.20/0.53  apply (zenon_notallex_s (fun X : zenon_U => (((pair_in_list (create_slb) zenon_TW_bx X)/\((strictly_less_than zenon_TW_bx X)/\(ok (remove_cpq (triple zenon_TU_br (create_slb) zenon_TV_bu) zenon_TW_bx))))->(pair_in_list (remove_slb (create_slb) zenon_TW_bx) zenon_TW_bx X))) zenon_H32); [ zenon_intro zenon_H33; idtac ].
% 0.20/0.53  elim zenon_H33. zenon_intro zenon_TX_ca. zenon_intro zenon_H35.
% 0.20/0.53  apply (zenon_notimply_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.20/0.53  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H39. zenon_intro zenon_H38.
% 0.20/0.53  generalize (ax22 zenon_TW_bx). zenon_intro zenon_H3a.
% 0.20/0.53  generalize (zenon_H3a zenon_TX_ca). zenon_intro zenon_H3b.
% 0.20/0.53  exact (zenon_H3b zenon_H39).
% 0.20/0.53  Qed.
% 0.20/0.53  % SZS output end Proof
% 0.20/0.53  (* END-PROOF *)
% 0.20/0.53  nodes searched: 330
% 0.20/0.53  max branch formulas: 314
% 0.20/0.53  proof nodes created: 17
% 0.20/0.53  formulas created: 3321
% 0.20/0.53  
%------------------------------------------------------------------------------