TSTP Solution File: MGT048+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : MGT048+1 : TPTP v8.1.0. Released v2.4.0.
% 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 22:31:10 EDT 2022
% Result : Theorem 0.87s 1.05s
% Output : Proof 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT048+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jun 9 08:52:36 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.87/1.05 (* PROOF-FOUND *)
% 0.87/1.05 % SZS status Theorem
% 0.87/1.05 (* BEGIN-PROOF *)
% 0.87/1.05 % SZS output start Proof
% 0.87/1.05 Theorem lemma_5 : (forall X : zenon_U, (forall T0 : zenon_U, (forall T : zenon_U, (((organization X)/\(greater (age X T) (age X T0)))->(smaller (capability X T) (capability X T0)))))).
% 0.87/1.05 Proof.
% 0.87/1.05 assert (zenon_L1_ : forall (zenon_TT0_p : zenon_U) (zenon_TT_q : zenon_U) (zenon_TX_r : zenon_U), (forall Y : zenon_U, ((smaller (stock_of_knowledge zenon_TX_r zenon_TT_q) Y)\/(((stock_of_knowledge zenon_TX_r zenon_TT_q) = Y)\/(greater (stock_of_knowledge zenon_TX_r zenon_TT_q) Y)))) -> (~(greater (stock_of_knowledge zenon_TX_r zenon_TT0_p) (stock_of_knowledge zenon_TX_r zenon_TT_q))) -> (~((stock_of_knowledge zenon_TX_r zenon_TT_q) = (stock_of_knowledge zenon_TX_r zenon_TT0_p))) -> (~(greater (stock_of_knowledge zenon_TX_r zenon_TT_q) (stock_of_knowledge zenon_TX_r zenon_TT0_p))) -> False).
% 0.87/1.05 do 3 intro. intros zenon_Hb zenon_Hc zenon_Hd zenon_He.
% 0.87/1.05 generalize (zenon_Hb (stock_of_knowledge zenon_TX_r zenon_TT0_p)). zenon_intro zenon_H12.
% 0.87/1.05 apply (zenon_or_s _ _ zenon_H12); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ].
% 0.87/1.05 generalize (definition_smaller (stock_of_knowledge zenon_TX_r zenon_TT_q)). zenon_intro zenon_H15.
% 0.87/1.05 generalize (zenon_H15 (stock_of_knowledge zenon_TX_r zenon_TT0_p)). zenon_intro zenon_H16.
% 0.87/1.05 apply (zenon_equiv_s _ _ zenon_H16); [ zenon_intro zenon_H18; zenon_intro zenon_Hc | zenon_intro zenon_H14; zenon_intro zenon_H17 ].
% 0.87/1.05 exact (zenon_H18 zenon_H14).
% 0.87/1.05 exact (zenon_Hc zenon_H17).
% 0.87/1.05 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 0.87/1.05 exact (zenon_Hd zenon_H1a).
% 0.87/1.05 exact (zenon_He zenon_H19).
% 0.87/1.05 (* end of lemma zenon_L1_ *)
% 0.87/1.05 assert (zenon_L2_ : forall (zenon_TT0_p : zenon_U) (zenon_TT_q : zenon_U) (zenon_TX_r : zenon_U), (smaller (capability zenon_TX_r zenon_TT_q) (capability zenon_TX_r zenon_TT0_p)) -> (~(greater (capability zenon_TX_r zenon_TT0_p) (capability zenon_TX_r zenon_TT_q))) -> False).
% 0.87/1.05 do 3 intro. intros zenon_H1b zenon_H1c.
% 0.87/1.05 generalize (definition_smaller (capability zenon_TX_r zenon_TT_q)). zenon_intro zenon_H1d.
% 0.87/1.05 generalize (zenon_H1d (capability zenon_TX_r zenon_TT0_p)). zenon_intro zenon_H1e.
% 0.87/1.05 apply (zenon_equiv_s _ _ zenon_H1e); [ zenon_intro zenon_H20; zenon_intro zenon_H1c | zenon_intro zenon_H1b; zenon_intro zenon_H1f ].
% 0.87/1.05 exact (zenon_H20 zenon_H1b).
% 0.87/1.05 exact (zenon_H1c zenon_H1f).
% 0.87/1.05 (* end of lemma zenon_L2_ *)
% 0.87/1.05 assert (zenon_L3_ : forall (zenon_TT0_p : zenon_U) (zenon_TT_q : zenon_U) (zenon_TX_r : zenon_U), (forall T0 : zenon_U, (forall T : zenon_U, (((organization zenon_TX_r)/\(greater (age zenon_TX_r T) (age zenon_TX_r T0)))->(greater (internal_friction zenon_TX_r T) (internal_friction zenon_TX_r T0))))) -> (organization zenon_TX_r) -> (greater (age zenon_TX_r zenon_TT_q) (age zenon_TX_r zenon_TT0_p)) -> (forall T : zenon_U, ((organization zenon_TX_r)->((((greater (stock_of_knowledge zenon_TX_r T) (stock_of_knowledge zenon_TX_r zenon_TT0_p))/\(smaller_or_equal (internal_friction zenon_TX_r T) (internal_friction zenon_TX_r zenon_TT0_p)))->(greater (capability zenon_TX_r T) (capability zenon_TX_r zenon_TT0_p)))/\((((smaller_or_equal (stock_of_knowledge zenon_TX_r T) (stock_of_knowledge zenon_TX_r zenon_TT0_p))/\(greater (internal_friction zenon_TX_r T) (internal_friction zenon_TX_r zenon_TT0_p)))->(smaller (capability zenon_TX_r T) (capability zenon_TX_r zenon_TT0_p)))/\((((stock_of_knowledge zenon_TX_r T) = (stock_of_knowledge zenon_TX_r zenon_TT0_p))/\((internal_friction zenon_TX_r T) = (internal_friction zenon_TX_r zenon_TT0_p)))->((capability zenon_TX_r T) = (capability zenon_TX_r zenon_TT0_p))))))) -> (~(greater (stock_of_knowledge zenon_TX_r zenon_TT0_p) (stock_of_knowledge zenon_TX_r zenon_TT_q))) -> (~(greater (stock_of_knowledge zenon_TX_r zenon_TT_q) (stock_of_knowledge zenon_TX_r zenon_TT0_p))) -> (~(greater (capability zenon_TX_r zenon_TT0_p) (capability zenon_TX_r zenon_TT_q))) -> False).
% 0.87/1.05 do 3 intro. intros zenon_H21 zenon_H22 zenon_H23 zenon_H24 zenon_Hc zenon_He zenon_H1c.
% 0.87/1.05 generalize (zenon_H21 zenon_TT0_p). zenon_intro zenon_H25.
% 0.87/1.05 generalize (meaning_postulate_greater_comparable (stock_of_knowledge zenon_TX_r zenon_TT_q)). zenon_intro zenon_Hb.
% 0.87/1.05 generalize (zenon_H25 zenon_TT_q). zenon_intro zenon_H26.
% 0.87/1.05 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 0.87/1.05 apply (zenon_notand_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 0.87/1.05 exact (zenon_H2a zenon_H22).
% 0.87/1.05 exact (zenon_H29 zenon_H23).
% 0.87/1.05 generalize (zenon_H24 zenon_TT_q). zenon_intro zenon_H2b.
% 0.87/1.05 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H2a | zenon_intro zenon_H2c ].
% 0.87/1.05 exact (zenon_H2a zenon_H22).
% 0.87/1.05 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d.
% 0.87/1.05 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 0.87/1.05 apply (zenon_imply_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b ].
% 0.87/1.05 apply (zenon_notand_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ].
% 0.87/1.05 generalize (definition_smaller_or_equal (stock_of_knowledge zenon_TX_r zenon_TT_q)). zenon_intro zenon_H34.
% 0.87/1.05 generalize (zenon_H34 (stock_of_knowledge zenon_TX_r zenon_TT0_p)). zenon_intro zenon_H35.
% 0.87/1.05 apply (zenon_equiv_s _ _ zenon_H35); [ zenon_intro zenon_H33; zenon_intro zenon_H38 | zenon_intro zenon_H37; zenon_intro zenon_H36 ].
% 0.87/1.05 apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H18. zenon_intro zenon_Hd.
% 0.87/1.05 apply (zenon_L1_ zenon_TT0_p zenon_TT_q zenon_TX_r); trivial.
% 0.87/1.05 exact (zenon_H33 zenon_H37).
% 0.87/1.05 exact (zenon_H32 zenon_H27).
% 0.87/1.05 apply (zenon_L2_ zenon_TT0_p zenon_TT_q zenon_TX_r); trivial.
% 0.87/1.05 (* end of lemma zenon_L3_ *)
% 0.87/1.05 assert (zenon_L4_ : forall (zenon_TT0_p : zenon_U) (zenon_TX_r : zenon_U), (forall T : zenon_U, ((organization zenon_TX_r)->((stock_of_knowledge zenon_TX_r T) = (stock_of_knowledge zenon_TX_r zenon_E)))) -> (organization zenon_TX_r) -> (~((stock_of_knowledge zenon_TX_r zenon_TT0_p) = (stock_of_knowledge zenon_TX_r zenon_E))) -> False).
% 0.87/1.05 do 2 intro. intros zenon_H39 zenon_H22 zenon_H3a.
% 0.87/1.05 generalize (zenon_H39 zenon_TT0_p). zenon_intro zenon_H3b.
% 0.87/1.05 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H2a | zenon_intro zenon_H3c ].
% 0.87/1.05 exact (zenon_H2a zenon_H22).
% 0.87/1.05 exact (zenon_H3a zenon_H3c).
% 0.87/1.05 (* end of lemma zenon_L4_ *)
% 0.87/1.05 assert (zenon_L5_ : forall (zenon_TT0_p : zenon_U) (zenon_TX_r : zenon_U), (~(smaller_or_equal (internal_friction zenon_TX_r zenon_TT0_p) (internal_friction zenon_TX_r zenon_TT0_p))) -> False).
% 0.87/1.05 do 2 intro. intros zenon_H3d.
% 0.87/1.05 generalize (definition_smaller_or_equal (internal_friction zenon_TX_r zenon_TT0_p)). zenon_intro zenon_H3e.
% 0.87/1.05 generalize (zenon_H3e (internal_friction zenon_TX_r zenon_TT0_p)). zenon_intro zenon_H3f.
% 0.87/1.05 apply (zenon_equiv_s _ _ zenon_H3f); [ zenon_intro zenon_H3d; zenon_intro zenon_H42 | zenon_intro zenon_H41; zenon_intro zenon_H40 ].
% 0.87/1.05 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 0.87/1.05 apply zenon_H43. apply refl_equal.
% 0.87/1.05 exact (zenon_H3d zenon_H41).
% 0.87/1.05 (* end of lemma zenon_L5_ *)
% 0.87/1.05 assert (zenon_L6_ : forall (zenon_TT0_p : zenon_U) (zenon_TX_r : zenon_U), (forall Y : zenon_U, (~((greater (capability zenon_TX_r zenon_TT0_p) Y)/\(greater Y (capability zenon_TX_r zenon_TT0_p))))) -> (greater (capability zenon_TX_r zenon_TT0_p) (capability zenon_TX_r zenon_TT0_p)) -> False).
% 0.87/1.05 do 2 intro. intros zenon_H45 zenon_H46.
% 0.87/1.05 generalize (zenon_H45 (capability zenon_TX_r zenon_TT0_p)). zenon_intro zenon_H47.
% 0.87/1.05 apply (zenon_notand_s _ _ zenon_H47); [ zenon_intro zenon_H48 | zenon_intro zenon_H48 ].
% 0.87/1.05 exact (zenon_H48 zenon_H46).
% 0.87/1.05 exact (zenon_H48 zenon_H46).
% 0.87/1.05 (* end of lemma zenon_L6_ *)
% 0.87/1.05 assert (zenon_L7_ : forall (zenon_TT_q : zenon_U) (zenon_TT0_p : zenon_U) (zenon_TX_r : zenon_U), (forall T : zenon_U, (((organization zenon_TX_r)/\(greater (age zenon_TX_r T) (age zenon_TX_r zenon_TT0_p)))->(greater (internal_friction zenon_TX_r T) (internal_friction zenon_TX_r zenon_TT0_p)))) -> (organization zenon_TX_r) -> (greater (age zenon_TX_r zenon_TT_q) (age zenon_TX_r zenon_TT0_p)) -> (~(greater (internal_friction zenon_TX_r zenon_TT_q) (internal_friction zenon_TX_r zenon_TT0_p))) -> False).
% 0.87/1.05 do 3 intro. intros zenon_H25 zenon_H22 zenon_H23 zenon_H32.
% 0.87/1.05 generalize (zenon_H25 zenon_TT_q). zenon_intro zenon_H26.
% 0.87/1.05 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 0.87/1.05 apply (zenon_notand_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 0.87/1.05 exact (zenon_H2a zenon_H22).
% 0.87/1.05 exact (zenon_H29 zenon_H23).
% 0.87/1.05 exact (zenon_H32 zenon_H27).
% 0.87/1.05 (* end of lemma zenon_L7_ *)
% 0.87/1.05 assert (zenon_L8_ : forall (zenon_TT0_p : zenon_U) (zenon_TT_q : zenon_U) (zenon_TX_r : zenon_U), (forall T0 : zenon_U, (forall T : zenon_U, (((organization zenon_TX_r)/\(greater (age zenon_TX_r T) (age zenon_TX_r T0)))->(greater (internal_friction zenon_TX_r T) (internal_friction zenon_TX_r T0))))) -> (~(greater (internal_friction zenon_TX_r zenon_TT_q) (internal_friction zenon_TX_r zenon_TT0_p))) -> (greater (age zenon_TX_r zenon_TT_q) (age zenon_TX_r zenon_TT0_p)) -> (organization zenon_TX_r) -> False).
% 0.87/1.05 do 3 intro. intros zenon_H21 zenon_H32 zenon_H23 zenon_H22.
% 0.87/1.05 generalize (zenon_H21 zenon_TT0_p). zenon_intro zenon_H25.
% 0.87/1.05 apply (zenon_L7_ zenon_TT_q zenon_TT0_p zenon_TX_r); trivial.
% 0.87/1.05 (* end of lemma zenon_L8_ *)
% 0.87/1.05 assert (zenon_L9_ : forall (zenon_TT0_p : zenon_U) (zenon_TT_q : zenon_U) (zenon_TX_r : zenon_U), (organization zenon_TX_r) -> (greater (age zenon_TX_r zenon_TT_q) (age zenon_TX_r zenon_TT0_p)) -> (~(greater (internal_friction zenon_TX_r zenon_TT_q) (internal_friction zenon_TX_r zenon_TT0_p))) -> False).
% 0.87/1.05 do 3 intro. intros zenon_H22 zenon_H23 zenon_H32.
% 0.87/1.05 generalize (assumption_12 zenon_TX_r). zenon_intro zenon_H21.
% 0.87/1.05 apply (zenon_L8_ zenon_TT0_p zenon_TT_q zenon_TX_r); trivial.
% 0.87/1.05 (* end of lemma zenon_L9_ *)
% 0.87/1.05 assert (zenon_L10_ : forall (zenon_TT0_p : zenon_U) (zenon_TT_q : zenon_U) (zenon_TX_r : zenon_U), (greater (age zenon_TX_r zenon_TT_q) (age zenon_TX_r zenon_TT0_p)) -> (organization zenon_TX_r) -> (~(smaller_or_equal (internal_friction zenon_TX_r zenon_TT0_p) (internal_friction zenon_TX_r zenon_TT_q))) -> False).
% 0.87/1.05 do 3 intro. intros zenon_H23 zenon_H22 zenon_H49.
% 0.87/1.05 generalize (definition_smaller_or_equal (internal_friction zenon_TX_r zenon_TT0_p)). zenon_intro zenon_H3e.
% 0.87/1.05 generalize (zenon_H3e (internal_friction zenon_TX_r zenon_TT_q)). zenon_intro zenon_H4a.
% 0.87/1.05 apply (zenon_equiv_s _ _ zenon_H4a); [ zenon_intro zenon_H49; zenon_intro zenon_H4d | zenon_intro zenon_H4c; zenon_intro zenon_H4b ].
% 0.87/1.05 apply (zenon_notor_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 0.87/1.05 generalize (definition_smaller (internal_friction zenon_TX_r zenon_TT0_p)). zenon_intro zenon_H50.
% 0.87/1.05 generalize (zenon_H50 (internal_friction zenon_TX_r zenon_TT_q)). zenon_intro zenon_H51.
% 0.87/1.05 apply (zenon_equiv_s _ _ zenon_H51); [ zenon_intro zenon_H4f; zenon_intro zenon_H32 | zenon_intro zenon_H52; zenon_intro zenon_H27 ].
% 0.87/1.05 apply (zenon_L9_ zenon_TT0_p zenon_TT_q zenon_TX_r); trivial.
% 0.87/1.05 exact (zenon_H4f zenon_H52).
% 0.87/1.05 exact (zenon_H49 zenon_H4c).
% 0.87/1.05 (* end of lemma zenon_L10_ *)
% 0.87/1.05 apply NNPP. intro zenon_G.
% 0.87/1.05 apply (zenon_notallex_s (fun X : zenon_U => (forall T0 : zenon_U, (forall T : zenon_U, (((organization X)/\(greater (age X T) (age X T0)))->(smaller (capability X T) (capability X T0)))))) zenon_G); [ zenon_intro zenon_H53; idtac ].
% 0.87/1.05 elim zenon_H53. zenon_intro zenon_TX_r. zenon_intro zenon_H54.
% 0.87/1.05 apply (zenon_notallex_s (fun T0 : zenon_U => (forall T : zenon_U, (((organization zenon_TX_r)/\(greater (age zenon_TX_r T) (age zenon_TX_r T0)))->(smaller (capability zenon_TX_r T) (capability zenon_TX_r T0))))) zenon_H54); [ zenon_intro zenon_H55; idtac ].
% 0.87/1.05 elim zenon_H55. zenon_intro zenon_TT0_p. zenon_intro zenon_H56.
% 0.87/1.05 apply (zenon_notallex_s (fun T : zenon_U => (((organization zenon_TX_r)/\(greater (age zenon_TX_r T) (age zenon_TX_r zenon_TT0_p)))->(smaller (capability zenon_TX_r T) (capability zenon_TX_r zenon_TT0_p)))) zenon_H56); [ zenon_intro zenon_H57; idtac ].
% 0.87/1.05 elim zenon_H57. zenon_intro zenon_TT_q. zenon_intro zenon_H58.
% 0.87/1.05 apply (zenon_notimply_s _ _ zenon_H58). zenon_intro zenon_H59. zenon_intro zenon_H20.
% 0.87/1.05 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H22. zenon_intro zenon_H23.
% 0.87/1.05 generalize (definition_smaller (capability zenon_TX_r zenon_TT_q)). zenon_intro zenon_H1d.
% 0.87/1.05 generalize (zenon_H1d (capability zenon_TX_r zenon_TT0_p)). zenon_intro zenon_H1e.
% 0.87/1.05 apply (zenon_equiv_s _ _ zenon_H1e); [ zenon_intro zenon_H20; zenon_intro zenon_H1c | zenon_intro zenon_H1b; zenon_intro zenon_H1f ].
% 0.87/1.05 generalize (assumption_5 zenon_TX_r). zenon_intro zenon_H5a.
% 0.87/1.05 generalize (zenon_H5a zenon_TT_q). zenon_intro zenon_H5b.
% 0.87/1.05 generalize (zenon_H5b zenon_TT0_p). zenon_intro zenon_H5c.
% 0.87/1.05 apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_H2a | zenon_intro zenon_H5d ].
% 0.87/1.05 exact (zenon_H2a zenon_H22).
% 0.87/1.05 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H5f. zenon_intro zenon_H5e.
% 0.87/1.05 apply (zenon_imply_s _ _ zenon_H5f); [ zenon_intro zenon_H60 | zenon_intro zenon_H1f ].
% 0.87/1.05 apply (zenon_notand_s _ _ zenon_H60); [ zenon_intro zenon_Hc | zenon_intro zenon_H49 ].
% 0.87/1.05 generalize (assumption_12 zenon_TX_r). zenon_intro zenon_H21.
% 0.87/1.05 generalize (assumption_10 zenon_TX_r). zenon_intro zenon_H0.
% 0.87/1.05 generalize (zenon_H0 zenon_E). zenon_intro zenon_H39.
% 0.87/1.05 generalize (zenon_H39 zenon_TT_q). zenon_intro zenon_H61.
% 0.87/1.05 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H2a | zenon_intro zenon_H62 ].
% 0.87/1.05 exact (zenon_H2a zenon_H22).
% 0.87/1.05 generalize (meaning_postulate_greater_strict (capability zenon_TX_r zenon_TT0_p)). zenon_intro zenon_H45.
% 0.87/1.05 generalize (zenon_H5a zenon_TT0_p). zenon_intro zenon_H24.
% 0.87/1.05 generalize (zenon_H24 zenon_TT0_p). zenon_intro zenon_H63.
% 0.87/1.05 apply (zenon_imply_s _ _ zenon_H63); [ zenon_intro zenon_H2a | zenon_intro zenon_H64 ].
% 0.87/1.05 exact (zenon_H2a zenon_H22).
% 0.87/1.05 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H65.
% 0.87/1.05 apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_H67 | zenon_intro zenon_H46 ].
% 0.87/1.05 apply (zenon_notand_s _ _ zenon_H67); [ zenon_intro zenon_H68 | zenon_intro zenon_H3d ].
% 0.87/1.05 elim (classic ((stock_of_knowledge zenon_TX_r zenon_E) = (stock_of_knowledge zenon_TX_r zenon_TT_q))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 0.87/1.05 elim (classic (greater (stock_of_knowledge zenon_TX_r zenon_TT_q) (stock_of_knowledge zenon_TX_r zenon_TT0_p))); [ zenon_intro zenon_H19 | zenon_intro zenon_He ].
% 0.87/1.05 elim (classic (greater (stock_of_knowledge zenon_TX_r zenon_E) (stock_of_knowledge zenon_TX_r zenon_TT0_p))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 0.87/1.05 cut ((greater (stock_of_knowledge zenon_TX_r zenon_E) (stock_of_knowledge zenon_TX_r zenon_TT0_p)) = (greater (stock_of_knowledge zenon_TX_r zenon_TT0_p) (stock_of_knowledge zenon_TX_r zenon_TT0_p))).
% 0.87/1.05 intro zenon_D_pnotp.
% 0.87/1.05 apply zenon_H68.
% 0.87/1.05 rewrite <- zenon_D_pnotp.
% 0.87/1.05 exact zenon_H6b.
% 0.87/1.05 cut (((stock_of_knowledge zenon_TX_r zenon_TT0_p) = (stock_of_knowledge zenon_TX_r zenon_TT0_p))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 0.87/1.05 cut (((stock_of_knowledge zenon_TX_r zenon_E) = (stock_of_knowledge zenon_TX_r zenon_TT0_p))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 0.87/1.05 congruence.
% 0.87/1.05 elim (classic ((stock_of_knowledge zenon_TX_r zenon_TT0_p) = (stock_of_knowledge zenon_TX_r zenon_TT0_p))); [ zenon_intro zenon_H6f | zenon_intro zenon_H6d ].
% 0.87/1.05 cut (((stock_of_knowledge zenon_TX_r zenon_TT0_p) = (stock_of_knowledge zenon_TX_r zenon_TT0_p)) = ((stock_of_knowledge zenon_TX_r zenon_E) = (stock_of_knowledge zenon_TX_r zenon_TT0_p))).
% 0.87/1.05 intro zenon_D_pnotp.
% 0.87/1.05 apply zenon_H6e.
% 0.87/1.05 rewrite <- zenon_D_pnotp.
% 0.87/1.05 exact zenon_H6f.
% 0.87/1.05 cut (((stock_of_knowledge zenon_TX_r zenon_TT0_p) = (stock_of_knowledge zenon_TX_r zenon_TT0_p))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 0.87/1.05 cut (((stock_of_knowledge zenon_TX_r zenon_TT0_p) = (stock_of_knowledge zenon_TX_r zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 0.87/1.05 congruence.
% 0.87/1.05 apply (zenon_L4_ zenon_TT0_p zenon_TX_r); trivial.
% 0.87/1.05 apply zenon_H6d. apply refl_equal.
% 0.87/1.05 apply zenon_H6d. apply refl_equal.
% 0.87/1.05 apply zenon_H6d. apply refl_equal.
% 0.87/1.05 cut ((greater (stock_of_knowledge zenon_TX_r zenon_TT_q) (stock_of_knowledge zenon_TX_r zenon_TT0_p)) = (greater (stock_of_knowledge zenon_TX_r zenon_E) (stock_of_knowledge zenon_TX_r zenon_TT0_p))).
% 0.87/1.05 intro zenon_D_pnotp.
% 0.87/1.05 apply zenon_H6c.
% 0.87/1.05 rewrite <- zenon_D_pnotp.
% 0.87/1.05 exact zenon_H19.
% 0.87/1.05 cut (((stock_of_knowledge zenon_TX_r zenon_TT0_p) = (stock_of_knowledge zenon_TX_r zenon_TT0_p))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 0.87/1.05 cut (((stock_of_knowledge zenon_TX_r zenon_TT_q) = (stock_of_knowledge zenon_TX_r zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 0.87/1.05 congruence.
% 0.87/1.05 elim (classic ((stock_of_knowledge zenon_TX_r zenon_E) = (stock_of_knowledge zenon_TX_r zenon_E))); [ zenon_intro zenon_H71 | zenon_intro zenon_H72 ].
% 0.87/1.05 cut (((stock_of_knowledge zenon_TX_r zenon_E) = (stock_of_knowledge zenon_TX_r zenon_E)) = ((stock_of_knowledge zenon_TX_r zenon_TT_q) = (stock_of_knowledge zenon_TX_r zenon_E))).
% 0.87/1.05 intro zenon_D_pnotp.
% 0.87/1.05 apply zenon_H70.
% 0.87/1.05 rewrite <- zenon_D_pnotp.
% 0.87/1.05 exact zenon_H71.
% 0.87/1.05 cut (((stock_of_knowledge zenon_TX_r zenon_E) = (stock_of_knowledge zenon_TX_r zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 0.87/1.05 cut (((stock_of_knowledge zenon_TX_r zenon_E) = (stock_of_knowledge zenon_TX_r zenon_TT_q))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 0.87/1.05 congruence.
% 0.87/1.05 exact (zenon_H6a zenon_H69).
% 0.87/1.05 apply zenon_H72. apply refl_equal.
% 0.87/1.05 apply zenon_H72. apply refl_equal.
% 0.87/1.05 apply zenon_H6d. apply refl_equal.
% 0.87/1.05 apply (zenon_L3_ zenon_TT0_p zenon_TT_q zenon_TX_r); trivial.
% 0.87/1.05 elim (classic ((stock_of_knowledge zenon_TX_r zenon_TT_q) = (stock_of_knowledge zenon_TX_r zenon_TT_q))); [ zenon_intro zenon_H73 | zenon_intro zenon_H74 ].
% 0.87/1.05 cut (((stock_of_knowledge zenon_TX_r zenon_TT_q) = (stock_of_knowledge zenon_TX_r zenon_TT_q)) = ((stock_of_knowledge zenon_TX_r zenon_E) = (stock_of_knowledge zenon_TX_r zenon_TT_q))).
% 0.87/1.05 intro zenon_D_pnotp.
% 0.87/1.05 apply zenon_H6a.
% 0.87/1.05 rewrite <- zenon_D_pnotp.
% 0.87/1.05 exact zenon_H73.
% 0.87/1.05 cut (((stock_of_knowledge zenon_TX_r zenon_TT_q) = (stock_of_knowledge zenon_TX_r zenon_TT_q))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 0.87/1.05 cut (((stock_of_knowledge zenon_TX_r zenon_TT_q) = (stock_of_knowledge zenon_TX_r zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 0.87/1.05 congruence.
% 0.87/1.05 exact (zenon_H70 zenon_H62).
% 0.87/1.05 apply zenon_H74. apply refl_equal.
% 0.87/1.05 apply zenon_H74. apply refl_equal.
% 0.87/1.05 apply (zenon_L5_ zenon_TT0_p zenon_TX_r); trivial.
% 0.87/1.05 apply (zenon_L6_ zenon_TT0_p zenon_TX_r); trivial.
% 0.87/1.05 apply (zenon_L10_ zenon_TT0_p zenon_TT_q zenon_TX_r); trivial.
% 0.87/1.05 exact (zenon_H1c zenon_H1f).
% 0.87/1.05 exact (zenon_H20 zenon_H1b).
% 0.87/1.05 Qed.
% 0.87/1.05 % SZS output end Proof
% 0.87/1.05 (* END-PROOF *)
% 0.87/1.05 nodes searched: 46851
% 0.87/1.05 max branch formulas: 1083
% 0.87/1.05 proof nodes created: 1020
% 0.87/1.05 formulas created: 20510
% 0.87/1.05
%------------------------------------------------------------------------------