↑ Up

Zenon---0.7.1.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : MGT013+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:24:17 AM UTC 2026

% Result   : Theorem 3.04s 3.39s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT013+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03  % Command  : run_zenon %s %d
% 0.09/0.35  % Computer : n009.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep  7 11:51:07 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 3.04/3.39  (* PROOF-FOUND *)
% 3.04/3.39  % SZS status Theorem
% 3.04/3.39  (* BEGIN-PROOF *)
% 3.04/3.39  % SZS output start Proof
% 3.04/3.39  Theorem t13_FOL : (forall X : zenon_U, (forall C1 : zenon_U, (forall C2 : zenon_U, (forall S1 : zenon_U, (forall S2 : zenon_U, (forall T1 : zenon_U, (forall T2 : zenon_U, (((organization X T1)/\((organization X T2)/\((reorganization_free X T1 T2)/\((complexity X C1 T1)/\((complexity X C2 T2)/\((size X S1 T1)/\((size X S2 T2)/\(greater C2 C1))))))))->(~(greater S1 S2)))))))))).
% 3.04/3.39  Proof.
% 3.04/3.39  assert (zenon_L1_ : forall (zenon_TX_l : zenon_U) (zenon_TT2_m : zenon_U), (~(time zenon_TT2_m)) -> (organization zenon_TX_l zenon_TT2_m) -> False).
% 3.04/3.39  do 2 intro. intros zenon_H9 zenon_Ha.
% 3.04/3.39  generalize (mp15 zenon_TX_l). zenon_intro zenon_Hd.
% 3.04/3.39  generalize (zenon_Hd zenon_TT2_m). zenon_intro zenon_He.
% 3.04/3.39  apply (zenon_imply_s _ _ zenon_He); [ zenon_intro zenon_H10 | zenon_intro zenon_Hf ].
% 3.04/3.39  exact (zenon_H10 zenon_Ha).
% 3.04/3.39  exact (zenon_H9 zenon_Hf).
% 3.04/3.39  (* end of lemma zenon_L1_ *)
% 3.04/3.39  assert (zenon_L2_ : forall (zenon_TX_l : zenon_U) (zenon_TT1_t : zenon_U), (~(time zenon_TT1_t)) -> (organization zenon_TX_l zenon_TT1_t) -> False).
% 3.04/3.39  do 2 intro. intros zenon_H11 zenon_H12.
% 3.04/3.39  generalize (mp15 zenon_TX_l). zenon_intro zenon_Hd.
% 3.04/3.39  generalize (zenon_Hd zenon_TT1_t). zenon_intro zenon_H14.
% 3.04/3.39  apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ].
% 3.04/3.39  exact (zenon_H16 zenon_H12).
% 3.04/3.39  exact (zenon_H11 zenon_H15).
% 3.04/3.39  (* end of lemma zenon_L2_ *)
% 3.04/3.39  assert (zenon_L3_ : forall (zenon_TT1_t : zenon_U) (zenon_TT2_m : zenon_U) (zenon_TS2_bd : zenon_U) (zenon_TS1_be : zenon_U) (zenon_TX_l : zenon_U), (forall T1 : zenon_U, (forall T2 : zenon_U, (((organization zenon_TX_l T1)/\((organization zenon_TX_l T2)/\((reorganization_free zenon_TX_l T1 T2)/\((size zenon_TX_l zenon_TS1_be T1)/\((size zenon_TX_l zenon_TS2_bd T2)/\(greater T2 T1))))))->(~(greater zenon_TS1_be zenon_TS2_bd))))) -> (greater zenon_TS1_be zenon_TS2_bd) -> (greater zenon_TT2_m zenon_TT1_t) -> (size zenon_TX_l zenon_TS2_bd zenon_TT2_m) -> (size zenon_TX_l zenon_TS1_be zenon_TT1_t) -> (reorganization_free zenon_TX_l zenon_TT1_t zenon_TT2_m) -> (organization zenon_TX_l zenon_TT2_m) -> (organization zenon_TX_l zenon_TT1_t) -> False).
% 3.04/3.39  do 5 intro. intros zenon_H17 zenon_H18 zenon_H19 zenon_H1a zenon_H1b zenon_H1c zenon_Ha zenon_H12.
% 3.04/3.39  generalize (zenon_H17 zenon_TT1_t). zenon_intro zenon_H1f.
% 3.04/3.39  generalize (zenon_H1f zenon_TT2_m). zenon_intro zenon_H20.
% 3.04/3.39  apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 3.04/3.39  apply (zenon_notand_s _ _ zenon_H22); [ zenon_intro zenon_H16 | zenon_intro zenon_H23 ].
% 3.04/3.39  exact (zenon_H16 zenon_H12).
% 3.04/3.39  apply (zenon_notand_s _ _ zenon_H23); [ zenon_intro zenon_H10 | zenon_intro zenon_H24 ].
% 3.04/3.39  exact (zenon_H10 zenon_Ha).
% 3.04/3.39  apply (zenon_notand_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ].
% 3.04/3.39  exact (zenon_H26 zenon_H1c).
% 3.04/3.39  apply (zenon_notand_s _ _ zenon_H25); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 3.04/3.39  exact (zenon_H28 zenon_H1b).
% 3.04/3.39  apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 3.04/3.39  exact (zenon_H2a zenon_H1a).
% 3.04/3.39  exact (zenon_H29 zenon_H19).
% 3.04/3.39  exact (zenon_H21 zenon_H18).
% 3.04/3.39  (* end of lemma zenon_L3_ *)
% 3.04/3.39  assert (zenon_L4_ : forall (zenon_TS2_bd : zenon_U) (zenon_TT2_m : zenon_U) (zenon_TT1_t : zenon_U) (zenon_TS1_be : zenon_U) (zenon_TX_l : zenon_U), (forall S2 : zenon_U, (forall T1 : zenon_U, (forall T2 : zenon_U, (((organization zenon_TX_l T1)/\((organization zenon_TX_l T2)/\((reorganization_free zenon_TX_l T1 T2)/\((size zenon_TX_l zenon_TS1_be T1)/\((size zenon_TX_l S2 T2)/\(greater T2 T1))))))->(~(greater zenon_TS1_be S2)))))) -> (organization zenon_TX_l zenon_TT1_t) -> (organization zenon_TX_l zenon_TT2_m) -> (reorganization_free zenon_TX_l zenon_TT1_t zenon_TT2_m) -> (size zenon_TX_l zenon_TS1_be zenon_TT1_t) -> (size zenon_TX_l zenon_TS2_bd zenon_TT2_m) -> (greater zenon_TT2_m zenon_TT1_t) -> (greater zenon_TS1_be zenon_TS2_bd) -> False).
% 3.04/3.39  do 5 intro. intros zenon_H2b zenon_H12 zenon_Ha zenon_H1c zenon_H1b zenon_H1a zenon_H19 zenon_H18.
% 3.04/3.39  generalize (zenon_H2b zenon_TS2_bd). zenon_intro zenon_H17.
% 3.04/3.39  apply (zenon_L3_ zenon_TT1_t zenon_TT2_m zenon_TS2_bd zenon_TS1_be zenon_TX_l); trivial.
% 3.04/3.39  (* end of lemma zenon_L4_ *)
% 3.04/3.39  assert (zenon_L5_ : forall (zenon_TT1_t : zenon_U) (zenon_TC1_bx : zenon_U) (zenon_TC2_by : zenon_U) (zenon_TT2_m : zenon_U) (zenon_TX_l : zenon_U), (forall T2 : zenon_U, (((organization zenon_TX_l zenon_TT2_m)/\((organization zenon_TX_l T2)/\((reorganization_free zenon_TX_l zenon_TT2_m T2)/\((complexity zenon_TX_l zenon_TC2_by zenon_TT2_m)/\((complexity zenon_TX_l zenon_TC1_bx T2)/\(greater T2 zenon_TT2_m))))))->(~(greater zenon_TC2_by zenon_TC1_bx)))) -> (organization zenon_TX_l zenon_TT2_m) -> (organization zenon_TX_l zenon_TT1_t) -> (reorganization_free zenon_TX_l zenon_TT1_t zenon_TT2_m) -> (complexity zenon_TX_l zenon_TC2_by zenon_TT2_m) -> (complexity zenon_TX_l zenon_TC1_bx zenon_TT1_t) -> (greater zenon_TT1_t zenon_TT2_m) -> (greater zenon_TC2_by zenon_TC1_bx) -> False).
% 3.04/3.39  do 5 intro. intros zenon_H2c zenon_Ha zenon_H12 zenon_H1c zenon_H2d zenon_H2e zenon_H2f zenon_H30.
% 3.04/3.39  generalize (zenon_H2c zenon_TT1_t). zenon_intro zenon_H33.
% 3.04/3.39  apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ].
% 3.04/3.39  apply (zenon_notand_s _ _ zenon_H35); [ zenon_intro zenon_H10 | zenon_intro zenon_H36 ].
% 3.04/3.39  exact (zenon_H10 zenon_Ha).
% 3.04/3.39  apply (zenon_notand_s _ _ zenon_H36); [ zenon_intro zenon_H16 | zenon_intro zenon_H37 ].
% 3.04/3.39  exact (zenon_H16 zenon_H12).
% 3.04/3.39  apply (zenon_notand_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ].
% 3.04/3.39  generalize (mp17 zenon_TX_l). zenon_intro zenon_H3a.
% 3.04/3.39  generalize (zenon_H3a zenon_TT1_t). zenon_intro zenon_H3b.
% 3.04/3.39  generalize (zenon_H3b zenon_TT2_m). zenon_intro zenon_H3c.
% 3.04/3.39  apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H26 | zenon_intro zenon_H3d ].
% 3.04/3.39  exact (zenon_H26 zenon_H1c).
% 3.04/3.39  exact (zenon_H39 zenon_H3d).
% 3.04/3.39  apply (zenon_notand_s _ _ zenon_H38); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ].
% 3.04/3.39  exact (zenon_H3f zenon_H2d).
% 3.04/3.39  apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ].
% 3.04/3.39  exact (zenon_H41 zenon_H2e).
% 3.04/3.39  exact (zenon_H40 zenon_H2f).
% 3.04/3.39  exact (zenon_H34 zenon_H30).
% 3.04/3.39  (* end of lemma zenon_L5_ *)
% 3.04/3.39  assert (zenon_L6_ : forall (zenon_TC2_by : zenon_U) (zenon_TC1_bx : zenon_U), (~(greater zenon_TC1_bx zenon_TC2_by)) -> (greater zenon_TC2_by zenon_TC1_bx) -> (zenon_TC2_by = zenon_TC1_bx) -> False).
% 3.04/3.39  do 2 intro. intros zenon_H42 zenon_H30 zenon_H43.
% 3.04/3.39  cut ((greater zenon_TC2_by zenon_TC1_bx) = (greater zenon_TC1_bx zenon_TC2_by)).
% 3.04/3.39  intro zenon_D_pnotp.
% 3.04/3.39  apply zenon_H42.
% 3.04/3.39  rewrite <- zenon_D_pnotp.
% 3.04/3.39  exact zenon_H30.
% 3.04/3.39  cut ((zenon_TC1_bx = zenon_TC2_by)); [idtac | apply NNPP; zenon_intro zenon_H44].
% 3.04/3.39  cut ((zenon_TC2_by = zenon_TC1_bx)); [idtac | apply NNPP; zenon_intro zenon_H45].
% 3.04/3.39  congruence.
% 3.04/3.39  exact (zenon_H45 zenon_H43).
% 3.04/3.39  apply zenon_H44. apply sym_equal. exact zenon_H43.
% 3.04/3.39  (* end of lemma zenon_L6_ *)
% 3.04/3.39  apply NNPP. intro zenon_G.
% 3.04/3.39  apply (zenon_notallex_s (fun X : zenon_U => (forall C1 : zenon_U, (forall C2 : zenon_U, (forall S1 : zenon_U, (forall S2 : zenon_U, (forall T1 : zenon_U, (forall T2 : zenon_U, (((organization X T1)/\((organization X T2)/\((reorganization_free X T1 T2)/\((complexity X C1 T1)/\((complexity X C2 T2)/\((size X S1 T1)/\((size X S2 T2)/\(greater C2 C1))))))))->(~(greater S1 S2)))))))))) zenon_G); [ zenon_intro zenon_H46; idtac ].
% 3.04/3.39  elim zenon_H46. zenon_intro zenon_TX_l. zenon_intro zenon_H47.
% 3.04/3.39  apply (zenon_notallex_s (fun C1 : zenon_U => (forall C2 : zenon_U, (forall S1 : zenon_U, (forall S2 : zenon_U, (forall T1 : zenon_U, (forall T2 : zenon_U, (((organization zenon_TX_l T1)/\((organization zenon_TX_l T2)/\((reorganization_free zenon_TX_l T1 T2)/\((complexity zenon_TX_l C1 T1)/\((complexity zenon_TX_l C2 T2)/\((size zenon_TX_l S1 T1)/\((size zenon_TX_l S2 T2)/\(greater C2 C1))))))))->(~(greater S1 S2))))))))) zenon_H47); [ zenon_intro zenon_H48; idtac ].
% 3.04/3.39  elim zenon_H48. zenon_intro zenon_TC1_bx. zenon_intro zenon_H49.
% 3.04/3.39  apply (zenon_notallex_s (fun C2 : zenon_U => (forall S1 : zenon_U, (forall S2 : zenon_U, (forall T1 : zenon_U, (forall T2 : zenon_U, (((organization zenon_TX_l T1)/\((organization zenon_TX_l T2)/\((reorganization_free zenon_TX_l T1 T2)/\((complexity zenon_TX_l zenon_TC1_bx T1)/\((complexity zenon_TX_l C2 T2)/\((size zenon_TX_l S1 T1)/\((size zenon_TX_l S2 T2)/\(greater C2 zenon_TC1_bx))))))))->(~(greater S1 S2)))))))) zenon_H49); [ zenon_intro zenon_H4a; idtac ].
% 3.04/3.39  elim zenon_H4a. zenon_intro zenon_TC2_by. zenon_intro zenon_H4b.
% 3.04/3.39  apply (zenon_notallex_s (fun S1 : zenon_U => (forall S2 : zenon_U, (forall T1 : zenon_U, (forall T2 : zenon_U, (((organization zenon_TX_l T1)/\((organization zenon_TX_l T2)/\((reorganization_free zenon_TX_l T1 T2)/\((complexity zenon_TX_l zenon_TC1_bx T1)/\((complexity zenon_TX_l zenon_TC2_by T2)/\((size zenon_TX_l S1 T1)/\((size zenon_TX_l S2 T2)/\(greater zenon_TC2_by zenon_TC1_bx))))))))->(~(greater S1 S2))))))) zenon_H4b); [ zenon_intro zenon_H4c; idtac ].
% 3.04/3.39  elim zenon_H4c. zenon_intro zenon_TS1_be. zenon_intro zenon_H4d.
% 3.04/3.39  apply (zenon_notallex_s (fun S2 : zenon_U => (forall T1 : zenon_U, (forall T2 : zenon_U, (((organization zenon_TX_l T1)/\((organization zenon_TX_l T2)/\((reorganization_free zenon_TX_l T1 T2)/\((complexity zenon_TX_l zenon_TC1_bx T1)/\((complexity zenon_TX_l zenon_TC2_by T2)/\((size zenon_TX_l zenon_TS1_be T1)/\((size zenon_TX_l S2 T2)/\(greater zenon_TC2_by zenon_TC1_bx))))))))->(~(greater zenon_TS1_be S2)))))) zenon_H4d); [ zenon_intro zenon_H4e; idtac ].
% 3.04/3.39  elim zenon_H4e. zenon_intro zenon_TS2_bd. zenon_intro zenon_H4f.
% 3.04/3.39  apply (zenon_notallex_s (fun T1 : zenon_U => (forall T2 : zenon_U, (((organization zenon_TX_l T1)/\((organization zenon_TX_l T2)/\((reorganization_free zenon_TX_l T1 T2)/\((complexity zenon_TX_l zenon_TC1_bx T1)/\((complexity zenon_TX_l zenon_TC2_by T2)/\((size zenon_TX_l zenon_TS1_be T1)/\((size zenon_TX_l zenon_TS2_bd T2)/\(greater zenon_TC2_by zenon_TC1_bx))))))))->(~(greater zenon_TS1_be zenon_TS2_bd))))) zenon_H4f); [ zenon_intro zenon_H50; idtac ].
% 3.04/3.39  elim zenon_H50. zenon_intro zenon_TT1_t. zenon_intro zenon_H51.
% 3.04/3.39  apply (zenon_notallex_s (fun T2 : zenon_U => (((organization zenon_TX_l zenon_TT1_t)/\((organization zenon_TX_l T2)/\((reorganization_free zenon_TX_l zenon_TT1_t T2)/\((complexity zenon_TX_l zenon_TC1_bx zenon_TT1_t)/\((complexity zenon_TX_l zenon_TC2_by T2)/\((size zenon_TX_l zenon_TS1_be zenon_TT1_t)/\((size zenon_TX_l zenon_TS2_bd T2)/\(greater zenon_TC2_by zenon_TC1_bx))))))))->(~(greater zenon_TS1_be zenon_TS2_bd)))) zenon_H51); [ zenon_intro zenon_H52; idtac ].
% 3.04/3.39  elim zenon_H52. zenon_intro zenon_TT2_m. zenon_intro zenon_H53.
% 3.04/3.39  apply (zenon_notimply_s _ _ zenon_H53). zenon_intro zenon_H55. zenon_intro zenon_H54.
% 3.04/3.39  apply zenon_H54. zenon_intro zenon_H18.
% 3.04/3.39  apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H12. zenon_intro zenon_H56.
% 3.04/3.39  apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_Ha. zenon_intro zenon_H57.
% 3.04/3.39  apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H1c. zenon_intro zenon_H58.
% 3.04/3.39  apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H2e. zenon_intro zenon_H59.
% 3.04/3.39  apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H2d. zenon_intro zenon_H5a.
% 3.04/3.39  apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H1b. zenon_intro zenon_H5b.
% 3.04/3.39  apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H1a. zenon_intro zenon_H30.
% 3.04/3.39  generalize (mp6_2 zenon_TC1_bx). zenon_intro zenon_H5c.
% 3.04/3.39  generalize (zenon_H5c zenon_TC2_by). zenon_intro zenon_H5d.
% 3.04/3.39  apply (zenon_notand_s _ _ zenon_H5d); [ zenon_intro zenon_H42 | zenon_intro zenon_H34 ].
% 3.04/3.39  generalize (mp18 zenon_TX_l). zenon_intro zenon_H5e.
% 3.04/3.39  generalize (zenon_H5e zenon_TC2_by). zenon_intro zenon_H5f.
% 3.04/3.39  generalize (t12_FOL zenon_TX_l). zenon_intro zenon_H60.
% 3.04/3.39  generalize (t11_FOL zenon_TX_l). zenon_intro zenon_H61.
% 3.04/3.39  generalize (zenon_H60 zenon_TC2_by). zenon_intro zenon_H62.
% 3.04/3.39  generalize (mp16 zenon_TT2_m). zenon_intro zenon_H63.
% 3.04/3.39  generalize (zenon_H62 zenon_TC1_bx). zenon_intro zenon_H64.
% 3.04/3.39  generalize (zenon_H5f zenon_TC1_bx). zenon_intro zenon_H65.
% 3.04/3.39  generalize (zenon_H65 zenon_TT2_m). zenon_intro zenon_H66.
% 3.04/3.39  generalize (zenon_H61 zenon_TS1_be). zenon_intro zenon_H2b.
% 3.04/3.39  generalize (zenon_H64 zenon_TT2_m). zenon_intro zenon_H2c.
% 3.04/3.39  generalize (zenon_H66 zenon_TT1_t). zenon_intro zenon_H67.
% 3.04/3.39  apply (zenon_imply_s _ _ zenon_H67); [ zenon_intro zenon_H68 | zenon_intro zenon_H43 ].
% 3.04/3.39  apply (zenon_notand_s _ _ zenon_H68); [ zenon_intro zenon_H10 | zenon_intro zenon_H69 ].
% 0.13/3.40  exact (zenon_H10 zenon_Ha).
% 0.13/3.40  apply (zenon_notand_s _ _ zenon_H69); [ zenon_intro zenon_H16 | zenon_intro zenon_H6a ].
% 0.13/3.40  exact (zenon_H16 zenon_H12).
% 0.13/3.40  apply (zenon_notand_s _ _ zenon_H6a); [ zenon_intro zenon_H3f | zenon_intro zenon_H6b ].
% 0.13/3.40  exact (zenon_H3f zenon_H2d).
% 0.13/3.40  apply (zenon_notand_s _ _ zenon_H6b); [ zenon_intro zenon_H41 | zenon_intro zenon_H6c ].
% 0.13/3.40  exact (zenon_H41 zenon_H2e).
% 0.13/3.40  generalize (zenon_H63 zenon_TT1_t). zenon_intro zenon_H6d.
% 0.13/3.40  apply (zenon_imply_s _ _ zenon_H6d); [ zenon_intro zenon_H6f | zenon_intro zenon_H6e ].
% 0.13/3.40  apply (zenon_notand_s _ _ zenon_H6f); [ zenon_intro zenon_H9 | zenon_intro zenon_H11 ].
% 0.13/3.40  apply (zenon_L1_ zenon_TX_l zenon_TT2_m); trivial.
% 0.13/3.40  apply (zenon_L2_ zenon_TX_l zenon_TT1_t); trivial.
% 0.13/3.40  apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H19 | zenon_intro zenon_H70 ].
% 0.13/3.40  apply (zenon_L4_ zenon_TS2_bd zenon_TT2_m zenon_TT1_t zenon_TS1_be zenon_TX_l); trivial.
% 0.13/3.40  apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H71 | zenon_intro zenon_H2f ].
% 0.13/3.40  exact (zenon_H6c zenon_H71).
% 0.13/3.40  apply (zenon_L5_ zenon_TT1_t zenon_TC1_bx zenon_TC2_by zenon_TT2_m zenon_TX_l); trivial.
% 0.13/3.40  apply (zenon_L6_ zenon_TC2_by zenon_TC1_bx); trivial.
% 0.13/3.40  exact (zenon_H34 zenon_H30).
% 0.13/3.40  Qed.
% 0.13/3.40  % SZS output end Proof
% 0.13/3.40  (* END-PROOF *)
% 0.13/3.40  nodes searched: 27266
% 0.13/3.40  max branch formulas: 2978
% 0.13/3.40  proof nodes created: 3403
% 0.13/3.40  formulas created: 55366
% 0.13/3.40  
%------------------------------------------------------------------------------