%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SWV388+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n025.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 0.39s 0.58s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV388+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14  % Command  : run_zenon %s %d
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jun 14 20:08:40 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.39/0.58  Zenon warning: unused variable (X : zenon_U) in ax47
% 0.39/0.58  Zenon warning: unused variable (X : zenon_U) in ax48
% 0.39/0.58  Zenon warning: unused variable (X : zenon_U) in ax49
% 0.39/0.58  Zenon warning: unused variable (X : zenon_U) in ax51
% 0.39/0.58  (* PROOF-FOUND *)
% 0.39/0.58  % SZS status Theorem
% 0.39/0.58  (* BEGIN-PROOF *)
% 0.39/0.58  % SZS output start Proof
% 0.39/0.58  Theorem l24_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->((~(check_cpq (findmin_cpq_eff (triple U V W))))\/(~(ok (findmin_cpq_eff (triple U V W))))))))).
% 0.39/0.58  Proof.
% 0.39/0.58  apply NNPP. intro zenon_G.
% 0.39/0.58  apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->((~(check_cpq (findmin_cpq_eff (triple U V W))))\/(~(ok (findmin_cpq_eff (triple U V W))))))))) zenon_G); [ zenon_intro zenon_H2b; idtac ].
% 0.39/0.58  elim zenon_H2b. zenon_intro zenon_TU_bs. zenon_intro zenon_H2d.
% 0.39/0.58  apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, ((~(check_cpq (triple zenon_TU_bs V W)))->((~(check_cpq (findmin_cpq_eff (triple zenon_TU_bs V W))))\/(~(ok (findmin_cpq_eff (triple zenon_TU_bs V W)))))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ].
% 0.39/0.58  elim zenon_H2e. zenon_intro zenon_TV_bv. zenon_intro zenon_H30.
% 0.39/0.58  apply (zenon_notallex_s (fun W : zenon_U => ((~(check_cpq (triple zenon_TU_bs zenon_TV_bv W)))->((~(check_cpq (findmin_cpq_eff (triple zenon_TU_bs zenon_TV_bv W))))\/(~(ok (findmin_cpq_eff (triple zenon_TU_bs zenon_TV_bv W))))))) zenon_H30); [ zenon_intro zenon_H31; idtac ].
% 0.39/0.58  elim zenon_H31. zenon_intro zenon_TW_by. zenon_intro zenon_H33.
% 0.39/0.58  apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.39/0.58  apply (zenon_notor_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.39/0.58  apply zenon_H37. zenon_intro zenon_H38.
% 0.39/0.58  generalize (l24_l34 zenon_TU_bs). zenon_intro zenon_H39.
% 0.39/0.58  generalize (zenon_H39 zenon_TV_bv). zenon_intro zenon_H3a.
% 0.39/0.58  generalize (zenon_H3a zenon_TW_by). zenon_intro zenon_H3b.
% 0.39/0.58  apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ].
% 0.39/0.58  exact (zenon_H3d zenon_H35).
% 0.39/0.58  exact (zenon_H3c zenon_H38).
% 0.39/0.58  Qed.
% 0.39/0.58  % SZS output end Proof
% 0.39/0.58  (* END-PROOF *)
% 0.39/0.58  nodes searched: 579
% 0.39/0.58  max branch formulas: 460
% 0.39/0.58  proof nodes created: 30
% 0.39/0.58  formulas created: 5980
% 0.39/0.58  
%------------------------------------------------------------------------------