TSTP Solution File: MED007+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : MED007+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n020.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 : Sun Jul 17 21:56:25 EDT 2022

% Result   : Theorem 14.14s 14.37s
% Output   : Proof 14.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : MED007+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul  5 01:44:29 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 14.14/14.37  (* PROOF-FOUND *)
% 14.14/14.37  % SZS status Theorem
% 14.14/14.37  (* BEGIN-PROOF *)
% 14.14/14.37  % SZS output start Proof
% 14.14/14.37  Theorem transs1s2_qilt27 : (((s1 (n0))/\((forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))/\((~(bcapacitysn (n0)))/\(qilt27 (n0)))))->(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))).
% 14.14/14.37  Proof.
% 14.14/14.37  assert (zenon_L1_ : (gt (n0) (n0)) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H29.
% 14.14/14.37  generalize (irreflexivity_gt (n0)). zenon_intro zenon_H2a.
% 14.14/14.37  exact (zenon_H2a zenon_H29).
% 14.14/14.37  (* end of lemma zenon_L1_ *)
% 14.14/14.37  assert (zenon_L2_ : (((s1 (n0))/\(~(forall X1 : zenon_U, ((~(gt (n0) X1))->(conditionnormo X1)))))->(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> (~(forall X1 : zenon_U, ((~(gt (n0) X1))->(conditionnormo X1)))) -> (s1 (n0)) -> (~(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H2b zenon_H2c zenon_H2d zenon_H2e.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 14.14/14.37  apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 14.14/14.37  exact (zenon_H32 zenon_H2d).
% 14.14/14.37  exact (zenon_H31 zenon_H2c).
% 14.14/14.37  exact (zenon_H2e zenon_H2f).
% 14.14/14.37  (* end of lemma zenon_L2_ *)
% 14.14/14.37  assert (zenon_L3_ : (s1 (n0)) -> (~(forall X1 : zenon_U, ((~(gt (n0) X1))->(conditionnormo X1)))) -> (~(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H2d zenon_H2c zenon_H2e.
% 14.14/14.37  generalize (trans_ax2 (n0)). zenon_intro zenon_H2b.
% 14.14/14.37  apply (zenon_L2_); trivial.
% 14.14/14.37  (* end of lemma zenon_L3_ *)
% 14.14/14.37  assert (zenon_L4_ : ((forall X1 : zenon_U, ((~(gt (n0) X1))->(bsecretioni X1)))/\((bcapacitysn (n0))/\((qilt27 (n0))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))))) -> (~(bcapacitysn (n0))) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H33 zenon_H34.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H36. zenon_intro zenon_H35.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 14.14/14.37  exact (zenon_H34 zenon_H38).
% 14.14/14.37  (* end of lemma zenon_L4_ *)
% 14.14/14.37  assert (zenon_L5_ : ((forall X1 : zenon_U, ((~(gt (n0) X1))->(~(releaselg X1))))/\((bcapacitysn (n0))/\((~(qilt27 (n0)))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))))) -> (~(bcapacitysn (n0))) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H39 zenon_H34.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H3b. zenon_intro zenon_H3a.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H38. zenon_intro zenon_H3c.
% 14.14/14.37  exact (zenon_H34 zenon_H38).
% 14.14/14.37  (* end of lemma zenon_L5_ *)
% 14.14/14.37  assert (zenon_L6_ : (~(~(gt (n0) (n0)))) -> (~(gt (n0) (n0))) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H3d zenon_H2a.
% 14.14/14.37  exact (zenon_H3d zenon_H2a).
% 14.14/14.37  (* end of lemma zenon_L6_ *)
% 14.14/14.37  assert (zenon_L7_ : (forall X1 : zenon_U, ((~(gt (n0) X1))->(drugbg X1))) -> (~(gt (n0) (n0))) -> (~(drugbg (n0))) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H3e zenon_H2a zenon_H3f.
% 14.14/14.37  generalize (zenon_H3e (n0)). zenon_intro zenon_H40.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H3d | zenon_intro zenon_H41 ].
% 14.14/14.37  exact (zenon_H3d zenon_H2a).
% 14.14/14.37  exact (zenon_H3f zenon_H41).
% 14.14/14.37  (* end of lemma zenon_L7_ *)
% 14.14/14.37  assert (zenon_L8_ : (forall X1 : zenon_U, ((~(gt (n0) X1))->(drugi X1))) -> (~(gt (n0) (n0))) -> (~(drugi (n0))) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H42 zenon_H2a zenon_H43.
% 14.14/14.37  generalize (zenon_H42 (n0)). zenon_intro zenon_H44.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_H3d | zenon_intro zenon_H45 ].
% 14.14/14.37  exact (zenon_H3d zenon_H2a).
% 14.14/14.37  exact (zenon_H43 zenon_H45).
% 14.14/14.37  (* end of lemma zenon_L8_ *)
% 14.14/14.37  assert (zenon_L9_ : ((forall X1 : zenon_U, ((~(gt (n0) X1))->(bsecretioni X1)))/\((bcapacitysn (n0))/\((qilt27 (n0))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))))) -> (~(forall X1 : zenon_U, ((~(gt (n0) X1))->(bsecretioni X1)))) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H33 zenon_H46.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H36. zenon_intro zenon_H35.
% 14.14/14.37  exact (zenon_H46 zenon_H36).
% 14.14/14.37  (* end of lemma zenon_L9_ *)
% 14.14/14.37  assert (zenon_L10_ : (((forall X1 : zenon_U, ((~(gt (n0) X1))->(~(releaselg X1))))\/(forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakepg X1))))/\((bcapacityne (n0))/\((forall X1 : zenon_U, ((~(gt (n0) X1))->(bsecretioni X1)))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))))) -> (~(bcapacityne (n0))) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H47 zenon_H48.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H4a. zenon_intro zenon_H49.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4c. zenon_intro zenon_H4b.
% 14.14/14.37  exact (zenon_H48 zenon_H4c).
% 14.14/14.37  (* end of lemma zenon_L10_ *)
% 14.14/14.37  assert (zenon_L11_ : ((forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakelg X1)))/\((forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakepg X1)))/\((bcapacityex (n0))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))))) -> (~(forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakelg X1)))) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H4d zenon_H4e.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H50. zenon_intro zenon_H4f.
% 14.14/14.37  exact (zenon_H4e zenon_H50).
% 14.14/14.37  (* end of lemma zenon_L11_ *)
% 14.14/14.37  assert (zenon_L12_ : (~((forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakelg X1)))\/(forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakepg X1))))) -> (~(bcapacityne (n0))) -> (~(bcapacitysn (n0))) -> (~(forall X1 : zenon_U, ((~(gt (n0) X1))->(bsecretioni X1)))) -> (~(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> (s1 (n0)) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H51 zenon_H48 zenon_H34 zenon_H46 zenon_H2e zenon_H2d.
% 14.14/14.37  apply (zenon_notor_s _ _ zenon_H51). zenon_intro zenon_H4e. zenon_intro zenon_H52.
% 14.14/14.37  generalize (normo (n0)). zenon_intro zenon_H53.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H54 ].
% 14.14/14.37  apply (zenon_L3_); trivial.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H33 | zenon_intro zenon_H55 ].
% 14.14/14.37  apply (zenon_L9_); trivial.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H39 | zenon_intro zenon_H56 ].
% 14.14/14.37  apply (zenon_L5_); trivial.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H47 | zenon_intro zenon_H4d ].
% 14.14/14.37  apply (zenon_L10_); trivial.
% 14.14/14.37  apply (zenon_L11_); trivial.
% 14.14/14.37  (* end of lemma zenon_L12_ *)
% 14.14/14.37  assert (zenon_L13_ : (s1 (n0)) -> (~(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> (~(bcapacitysn (n0))) -> (bcapacityex (n0)) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H2d zenon_H2e zenon_H34 zenon_H57.
% 14.14/14.37  generalize (xorcapacity2 (n0)). zenon_intro zenon_H58.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H48 | zenon_intro zenon_H59 ].
% 14.14/14.37  generalize (su_completion (n0)). zenon_intro zenon_H5a.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_H46 | zenon_intro zenon_H5b ].
% 14.14/14.37  generalize (xorstep6 (n0)). zenon_intro zenon_H5c.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H32 | zenon_intro zenon_H5d ].
% 14.14/14.37  exact (zenon_H32 zenon_H2d).
% 14.14/14.37  generalize (insulincomp (n0)). zenon_intro zenon_H5e.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H5e); [ zenon_intro zenon_H43 | zenon_intro zenon_H5f ].
% 14.14/14.37  generalize (irreflexivity_gt (n0)). zenon_intro zenon_H2a.
% 14.14/14.37  generalize (insulin_completion (n0)). zenon_intro zenon_H60.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H60); [ zenon_intro zenon_H51 | zenon_intro zenon_H42 ].
% 14.14/14.37  apply (zenon_L12_); trivial.
% 14.14/14.37  apply (zenon_L8_); trivial.
% 14.14/14.37  exact (zenon_H5d zenon_H5f).
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H61. zenon_intro zenon_H59.
% 14.14/14.37  exact (zenon_H59 zenon_H57).
% 14.14/14.37  exact (zenon_H59 zenon_H57).
% 14.14/14.37  (* end of lemma zenon_L13_ *)
% 14.14/14.37  assert (zenon_L14_ : ((forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakelg X1)))/\((forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakepg X1)))/\((bcapacityex (n0))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))))) -> (s1 (n0)) -> (~(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> (~(bcapacitysn (n0))) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H4d zenon_H2d zenon_H2e zenon_H34.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H50. zenon_intro zenon_H4f.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H63. zenon_intro zenon_H62.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H57. zenon_intro zenon_H64.
% 14.14/14.37  apply (zenon_L13_); trivial.
% 14.14/14.37  (* end of lemma zenon_L14_ *)
% 14.14/14.37  assert (zenon_L15_ : (forall X1 : zenon_U, ((~(gt (n0) X1))->(conditionnormo X1))) -> (~(conditionnormo (n0))) -> False).
% 14.14/14.37  do 0 intro. intros zenon_H65 zenon_H66.
% 14.14/14.37  generalize (zenon_H65 (n0)). zenon_intro zenon_H67.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H67); [ zenon_intro zenon_H3d | zenon_intro zenon_H68 ].
% 14.14/14.37  apply zenon_H3d. zenon_intro zenon_H29.
% 14.14/14.37  apply (zenon_L1_); trivial.
% 14.14/14.37  exact (zenon_H66 zenon_H68).
% 14.14/14.37  (* end of lemma zenon_L15_ *)
% 14.14/14.37  apply NNPP. intro zenon_G.
% 14.14/14.37  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H69. zenon_intro zenon_H2e.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H2d. zenon_intro zenon_H6a.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H64. zenon_intro zenon_H6b.
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H34. zenon_intro zenon_H6c.
% 14.14/14.37  generalize (xorcapacity1 (n0)). zenon_intro zenon_H6d.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H4c | zenon_intro zenon_H6e ].
% 14.14/14.37  apply zenon_H2e. exists (n0). apply NNPP. zenon_intro zenon_H6f.
% 14.14/14.37  apply (zenon_notand_s _ _ zenon_H6f); [ zenon_intro zenon_H3d | zenon_intro zenon_H70 ].
% 14.14/14.37  apply zenon_H3d. zenon_intro zenon_H29.
% 14.14/14.37  apply (zenon_L1_); trivial.
% 14.14/14.37  apply (zenon_notand_s _ _ zenon_H70); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ].
% 14.14/14.37  generalize (trans_ax2 (n0)). zenon_intro zenon_H2b.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 14.14/14.37  apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 14.14/14.37  exact (zenon_H32 zenon_H2d).
% 14.14/14.37  apply zenon_H31. zenon_intro zenon_H65.
% 14.14/14.37  generalize (xorcondition3 (n0)). zenon_intro zenon_H73.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H74 | zenon_intro zenon_H66 ].
% 14.14/14.37  generalize (zenon_H64 (n0)). zenon_intro zenon_H75.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H75); [ zenon_intro zenon_H2a | zenon_intro zenon_H76 ].
% 14.14/14.37  generalize (normo (n0)). zenon_intro zenon_H53.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H54 ].
% 14.14/14.37  apply (zenon_L3_); trivial.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H33 | zenon_intro zenon_H55 ].
% 14.14/14.37  apply (zenon_L4_); trivial.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H39 | zenon_intro zenon_H56 ].
% 14.14/14.37  apply (zenon_L5_); trivial.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H47 | zenon_intro zenon_H4d ].
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H4a. zenon_intro zenon_H49.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3b | zenon_intro zenon_H63 ].
% 14.14/14.37  generalize (xorstep6 (n0)). zenon_intro zenon_H5c.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H32 | zenon_intro zenon_H5d ].
% 14.14/14.37  exact (zenon_H32 zenon_H2d).
% 14.14/14.37  generalize (bgcomp (n0)). zenon_intro zenon_H77.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H77); [ zenon_intro zenon_H3f | zenon_intro zenon_H78 ].
% 14.14/14.37  generalize (bg_completion (n0)). zenon_intro zenon_H79.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H79); [ zenon_intro zenon_H7a | zenon_intro zenon_H3e ].
% 14.14/14.37  exact (zenon_H7a zenon_H3b).
% 14.14/14.37  apply (zenon_L7_); trivial.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H7c | zenon_intro zenon_H7b ].
% 14.14/14.37  apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H2d. zenon_intro zenon_H7d.
% 14.14/14.37  exact (zenon_H7d zenon_H6c).
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H5f ].
% 14.14/14.37  exact (zenon_H72 zenon_H7e).
% 14.14/14.37  exact (zenon_H5d zenon_H5f).
% 14.14/14.37  generalize (xorstep6 (n0)). zenon_intro zenon_H5c.
% 14.14/14.37  apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H32 | zenon_intro zenon_H5d ].
% 14.14/14.37  exact (zenon_H32 zenon_H2d).
% 14.14/14.37  generalize (insulincomp (n0)). zenon_intro zenon_H5e.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H5e); [ zenon_intro zenon_H43 | zenon_intro zenon_H5f ].
% 14.14/14.37  generalize (insulin_completion (n0)). zenon_intro zenon_H60.
% 14.14/14.37  apply (zenon_imply_s _ _ zenon_H60); [ zenon_intro zenon_H51 | zenon_intro zenon_H42 ].
% 14.14/14.38  apply (zenon_notor_s _ _ zenon_H51). zenon_intro zenon_H4e. zenon_intro zenon_H52.
% 14.14/14.38  exact (zenon_H52 zenon_H63).
% 14.14/14.38  apply (zenon_L8_); trivial.
% 14.14/14.38  exact (zenon_H5d zenon_H5f).
% 14.14/14.38  apply (zenon_L14_); trivial.
% 14.14/14.38  exact (zenon_H74 zenon_H76).
% 14.14/14.38  apply (zenon_L15_); trivial.
% 14.14/14.38  exact (zenon_H2e zenon_H2f).
% 14.14/14.38  apply (zenon_notand_s _ _ zenon_H71); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ].
% 14.14/14.38  exact (zenon_H80 zenon_H64).
% 14.14/14.38  apply (zenon_notor_s _ _ zenon_H7f). zenon_intro zenon_H48. zenon_intro zenon_H59.
% 14.14/14.38  exact (zenon_H48 zenon_H4c).
% 14.14/14.38  apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H57 | zenon_intro zenon_H38 ].
% 14.14/14.38  apply (zenon_L13_); trivial.
% 14.14/14.38  exact (zenon_H34 zenon_H38).
% 14.14/14.38  Qed.
% 14.14/14.38  % SZS output end Proof
% 14.14/14.38  (* END-PROOF *)
% 14.14/14.38  nodes searched: 1462006
% 14.14/14.38  max branch formulas: 9927
% 14.14/14.38  proof nodes created: 16977
% 14.14/14.38  formulas created: 606397
% 14.14/14.38  
%------------------------------------------------------------------------------