TSTP Solution File: MGT044+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : MGT044+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n027.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 22:31:09 EDT 2022
% Result : Theorem 0.72s 0.92s
% Output : Proof 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT044+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.13/0.32 % Computer : n027.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 11:37:27 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/0.92 (* PROOF-FOUND *)
% 0.72/0.92 % SZS status Theorem
% 0.72/0.92 (* BEGIN-PROOF *)
% 0.72/0.92 % SZS output start Proof
% 0.72/0.92 Theorem lemma_3 : (forall X : zenon_U, (forall T0 : zenon_U, (forall T : zenon_U, (((organization X)/\(greater (age X T) (age X T0)))->(greater (capability X T) (capability X T0)))))).
% 0.72/0.92 Proof.
% 0.72/0.92 assert (zenon_L1_ : forall (zenon_TT_p : zenon_U) (zenon_TT0_q : 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_q)))->(greater (stock_of_knowledge zenon_TX_r T) (stock_of_knowledge zenon_TX_r zenon_TT0_q)))) -> (organization zenon_TX_r) -> (greater (age zenon_TX_r zenon_TT_p) (age zenon_TX_r zenon_TT0_q)) -> (~(greater (stock_of_knowledge zenon_TX_r zenon_TT_p) (stock_of_knowledge zenon_TX_r zenon_TT0_q))) -> False).
% 0.72/0.92 do 3 intro. intros zenon_Hb zenon_Hc zenon_Hd zenon_He.
% 0.72/0.92 generalize (zenon_Hb zenon_TT_p). zenon_intro zenon_H12.
% 0.72/0.92 apply (zenon_imply_s _ _ zenon_H12); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ].
% 0.72/0.92 apply (zenon_notand_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ].
% 0.72/0.92 exact (zenon_H16 zenon_Hc).
% 0.72/0.92 exact (zenon_H15 zenon_Hd).
% 0.72/0.92 exact (zenon_He zenon_H13).
% 0.72/0.92 (* end of lemma zenon_L1_ *)
% 0.72/0.92 assert (zenon_L2_ : forall (zenon_TT_p : zenon_U) (zenon_TT0_q : zenon_U) (zenon_TX_r : zenon_U), (~(greater (internal_friction zenon_TX_r zenon_TT0_q) (internal_friction zenon_TX_r zenon_TT_p))) -> (~((internal_friction zenon_TX_r zenon_TT_p) = (internal_friction zenon_TX_r zenon_TT0_q))) -> (~(greater (internal_friction zenon_TX_r zenon_TT_p) (internal_friction zenon_TX_r zenon_TT0_q))) -> False).
% 0.72/0.92 do 3 intro. intros zenon_H17 zenon_H18 zenon_H19.
% 0.72/0.92 generalize (meaning_postulate_greater_comparable (internal_friction zenon_TX_r zenon_TT0_q)). zenon_intro zenon_H1a.
% 0.72/0.92 generalize (zenon_H1a (internal_friction zenon_TX_r zenon_TT_p)). zenon_intro zenon_H1b.
% 0.72/0.92 apply (zenon_or_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ].
% 0.72/0.92 generalize (definition_smaller (internal_friction zenon_TX_r zenon_TT0_q)). zenon_intro zenon_H1e.
% 0.72/0.92 generalize (zenon_H1e (internal_friction zenon_TX_r zenon_TT_p)). zenon_intro zenon_H1f.
% 0.72/0.92 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H21; zenon_intro zenon_H19 | zenon_intro zenon_H1d; zenon_intro zenon_H20 ].
% 0.72/0.92 exact (zenon_H21 zenon_H1d).
% 0.72/0.92 exact (zenon_H19 zenon_H20).
% 0.72/0.92 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 0.72/0.92 apply zenon_H18. apply sym_equal. exact zenon_H23.
% 0.72/0.92 exact (zenon_H17 zenon_H22).
% 0.72/0.92 (* end of lemma zenon_L2_ *)
% 0.72/0.92 assert (zenon_L3_ : forall (zenon_TT0_q : zenon_U) (zenon_TX_r : zenon_U), (forall T : zenon_U, ((organization zenon_TX_r)->((internal_friction zenon_TX_r T) = (internal_friction zenon_TX_r zenon_E)))) -> (organization zenon_TX_r) -> (~((internal_friction zenon_TX_r zenon_TT0_q) = (internal_friction zenon_TX_r zenon_E))) -> False).
% 0.72/0.92 do 2 intro. intros zenon_H24 zenon_Hc zenon_H25.
% 0.72/0.92 generalize (zenon_H24 zenon_TT0_q). zenon_intro zenon_H26.
% 0.72/0.92 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H16 | zenon_intro zenon_H27 ].
% 0.72/0.92 exact (zenon_H16 zenon_Hc).
% 0.72/0.92 exact (zenon_H25 zenon_H27).
% 0.72/0.92 (* end of lemma zenon_L3_ *)
% 0.72/0.92 assert (zenon_L4_ : forall (zenon_TT0_q : zenon_U) (zenon_TX_r : zenon_U), (greater (capability zenon_TX_r zenon_TT0_q) (capability zenon_TX_r zenon_TT0_q)) -> False).
% 0.72/0.92 do 2 intro. intros zenon_H28.
% 0.72/0.92 generalize (meaning_postulate_greater_strict (capability zenon_TX_r zenon_TT0_q)). zenon_intro zenon_H29.
% 0.72/0.92 generalize (zenon_H29 (capability zenon_TX_r zenon_TT0_q)). zenon_intro zenon_H2a.
% 0.72/0.92 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H2b | zenon_intro zenon_H2b ].
% 0.72/0.92 exact (zenon_H2b zenon_H28).
% 0.72/0.92 exact (zenon_H2b zenon_H28).
% 0.72/0.92 (* end of lemma zenon_L4_ *)
% 0.72/0.92 assert (zenon_L5_ : forall (zenon_TT0_q : zenon_U) (zenon_TX_r : zenon_U), (smaller (capability zenon_TX_r zenon_TT0_q) (capability zenon_TX_r zenon_TT0_q)) -> False).
% 0.72/0.92 do 2 intro. intros zenon_H2c.
% 0.72/0.92 generalize (definition_smaller (capability zenon_TX_r zenon_TT0_q)). zenon_intro zenon_H2d.
% 0.72/0.92 generalize (zenon_H2d (capability zenon_TX_r zenon_TT0_q)). zenon_intro zenon_H2e.
% 0.72/0.92 apply (zenon_equiv_s _ _ zenon_H2e); [ zenon_intro zenon_H2f; zenon_intro zenon_H2b | zenon_intro zenon_H2c; zenon_intro zenon_H28 ].
% 0.72/0.92 exact (zenon_H2f zenon_H2c).
% 0.72/0.92 apply (zenon_L4_ zenon_TT0_q zenon_TX_r); trivial.
% 0.72/0.92 (* end of lemma zenon_L5_ *)
% 0.72/0.92 apply NNPP. intro zenon_G.
% 0.72/0.92 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)))->(greater (capability X T) (capability X T0)))))) zenon_G); [ zenon_intro zenon_H30; idtac ].
% 0.72/0.92 elim zenon_H30. zenon_intro zenon_TX_r. zenon_intro zenon_H31.
% 0.72/0.92 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)))->(greater (capability zenon_TX_r T) (capability zenon_TX_r T0))))) zenon_H31); [ zenon_intro zenon_H32; idtac ].
% 0.72/0.92 elim zenon_H32. zenon_intro zenon_TT0_q. zenon_intro zenon_H33.
% 0.72/0.92 apply (zenon_notallex_s (fun T : zenon_U => (((organization zenon_TX_r)/\(greater (age zenon_TX_r T) (age zenon_TX_r zenon_TT0_q)))->(greater (capability zenon_TX_r T) (capability zenon_TX_r zenon_TT0_q)))) zenon_H33); [ zenon_intro zenon_H34; idtac ].
% 0.72/0.92 elim zenon_H34. zenon_intro zenon_TT_p. zenon_intro zenon_H35.
% 0.72/0.92 apply (zenon_notimply_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.72/0.92 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.72/0.92 generalize (assumption_5 zenon_TX_r). zenon_intro zenon_H38.
% 0.72/0.92 generalize (zenon_H38 zenon_TT0_q). zenon_intro zenon_H39.
% 0.72/0.92 generalize (zenon_H39 zenon_TT0_q). zenon_intro zenon_H3a.
% 0.72/0.92 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H16 | zenon_intro zenon_H3b ].
% 0.72/0.92 exact (zenon_H16 zenon_Hc).
% 0.72/0.92 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H3c.
% 0.72/0.92 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H3e.
% 0.72/0.92 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H2c ].
% 0.72/0.92 apply (zenon_notand_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ].
% 0.72/0.92 generalize (definition_smaller_or_equal (stock_of_knowledge zenon_TX_r zenon_TT0_q)). zenon_intro zenon_H43.
% 0.72/0.92 generalize (zenon_H43 (stock_of_knowledge zenon_TX_r zenon_TT0_q)). zenon_intro zenon_H44.
% 0.72/0.92 apply (zenon_equiv_s _ _ zenon_H44); [ zenon_intro zenon_H42; zenon_intro zenon_H47 | zenon_intro zenon_H46; zenon_intro zenon_H45 ].
% 0.72/0.92 apply (zenon_notor_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 0.72/0.92 apply zenon_H48. apply refl_equal.
% 0.72/0.92 exact (zenon_H42 zenon_H46).
% 0.72/0.92 generalize (zenon_H39 zenon_TT_p). zenon_intro zenon_H4a.
% 0.72/0.92 apply (zenon_imply_s _ _ zenon_H4a); [ zenon_intro zenon_H16 | zenon_intro zenon_H4b ].
% 0.72/0.92 exact (zenon_H16 zenon_Hc).
% 0.72/0.92 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H4d. zenon_intro zenon_H4c.
% 0.72/0.92 apply (zenon_imply_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 0.72/0.92 apply (zenon_notand_s _ _ zenon_H4f); [ zenon_intro zenon_He | zenon_intro zenon_H50 ].
% 0.72/0.92 generalize (assumption_7 zenon_TX_r). zenon_intro zenon_H51.
% 0.72/0.92 generalize (zenon_H51 zenon_TT0_q). zenon_intro zenon_Hb.
% 0.72/0.92 apply (zenon_L1_ zenon_TT_p zenon_TT0_q zenon_TX_r); trivial.
% 0.72/0.92 generalize (definition_smaller_or_equal (internal_friction zenon_TX_r zenon_TT_p)). zenon_intro zenon_H52.
% 0.72/0.92 generalize (zenon_H52 (internal_friction zenon_TX_r zenon_TT0_q)). zenon_intro zenon_H53.
% 0.72/0.92 apply (zenon_equiv_s _ _ zenon_H53); [ zenon_intro zenon_H50; zenon_intro zenon_H56 | zenon_intro zenon_H55; zenon_intro zenon_H54 ].
% 0.72/0.92 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H57. zenon_intro zenon_H18.
% 0.72/0.92 generalize (definition_smaller (internal_friction zenon_TX_r zenon_TT_p)). zenon_intro zenon_H58.
% 0.72/0.92 generalize (zenon_H58 (internal_friction zenon_TX_r zenon_TT0_q)). zenon_intro zenon_H59.
% 0.72/0.92 apply (zenon_equiv_s _ _ zenon_H59); [ zenon_intro zenon_H57; zenon_intro zenon_H17 | zenon_intro zenon_H5a; zenon_intro zenon_H22 ].
% 0.72/0.92 generalize (assumption_9 zenon_TX_r). zenon_intro zenon_H0.
% 0.72/0.92 generalize (zenon_H0 zenon_E). zenon_intro zenon_H24.
% 0.72/0.92 generalize (zenon_H24 zenon_TT_p). zenon_intro zenon_H5b.
% 0.72/0.92 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_H16 | zenon_intro zenon_H5c ].
% 0.72/0.92 exact (zenon_H16 zenon_Hc).
% 0.72/0.92 elim (classic ((internal_friction zenon_TX_r zenon_E) = (internal_friction zenon_TX_r zenon_TT_p))); [ zenon_intro zenon_H5d | zenon_intro zenon_H5e ].
% 0.72/0.92 elim (classic (greater (internal_friction zenon_TX_r zenon_TT_p) (internal_friction zenon_TX_r zenon_TT0_q))); [ zenon_intro zenon_H20 | zenon_intro zenon_H19 ].
% 0.72/0.92 elim (classic (greater (internal_friction zenon_TX_r zenon_E) (internal_friction zenon_TX_r zenon_TT0_q))); [ zenon_intro zenon_H5f | zenon_intro zenon_H60 ].
% 0.72/0.92 cut ((greater (internal_friction zenon_TX_r zenon_E) (internal_friction zenon_TX_r zenon_TT0_q)) = (greater (internal_friction zenon_TX_r zenon_TT0_q) (internal_friction zenon_TX_r zenon_TT0_q))).
% 0.72/0.92 intro zenon_D_pnotp.
% 0.72/0.92 apply zenon_H41.
% 0.72/0.92 rewrite <- zenon_D_pnotp.
% 0.72/0.92 exact zenon_H5f.
% 0.72/0.92 cut (((internal_friction zenon_TX_r zenon_TT0_q) = (internal_friction zenon_TX_r zenon_TT0_q))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 0.72/0.92 cut (((internal_friction zenon_TX_r zenon_E) = (internal_friction zenon_TX_r zenon_TT0_q))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 0.72/0.92 congruence.
% 0.72/0.92 elim (classic ((internal_friction zenon_TX_r zenon_TT0_q) = (internal_friction zenon_TX_r zenon_TT0_q))); [ zenon_intro zenon_H63 | zenon_intro zenon_H61 ].
% 0.72/0.92 cut (((internal_friction zenon_TX_r zenon_TT0_q) = (internal_friction zenon_TX_r zenon_TT0_q)) = ((internal_friction zenon_TX_r zenon_E) = (internal_friction zenon_TX_r zenon_TT0_q))).
% 0.72/0.92 intro zenon_D_pnotp.
% 0.72/0.92 apply zenon_H62.
% 0.72/0.92 rewrite <- zenon_D_pnotp.
% 0.72/0.92 exact zenon_H63.
% 0.72/0.92 cut (((internal_friction zenon_TX_r zenon_TT0_q) = (internal_friction zenon_TX_r zenon_TT0_q))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 0.72/0.92 cut (((internal_friction zenon_TX_r zenon_TT0_q) = (internal_friction zenon_TX_r zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H25].
% 0.72/0.92 congruence.
% 0.72/0.92 apply (zenon_L3_ zenon_TT0_q zenon_TX_r); trivial.
% 0.72/0.92 apply zenon_H61. apply refl_equal.
% 0.72/0.92 apply zenon_H61. apply refl_equal.
% 0.72/0.92 apply zenon_H61. apply refl_equal.
% 0.72/0.92 cut ((greater (internal_friction zenon_TX_r zenon_TT_p) (internal_friction zenon_TX_r zenon_TT0_q)) = (greater (internal_friction zenon_TX_r zenon_E) (internal_friction zenon_TX_r zenon_TT0_q))).
% 0.72/0.92 intro zenon_D_pnotp.
% 0.72/0.92 apply zenon_H60.
% 0.72/0.92 rewrite <- zenon_D_pnotp.
% 0.72/0.92 exact zenon_H20.
% 0.72/0.92 cut (((internal_friction zenon_TX_r zenon_TT0_q) = (internal_friction zenon_TX_r zenon_TT0_q))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 0.72/0.92 cut (((internal_friction zenon_TX_r zenon_TT_p) = (internal_friction zenon_TX_r zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 0.72/0.92 congruence.
% 0.72/0.92 elim (classic ((internal_friction zenon_TX_r zenon_E) = (internal_friction zenon_TX_r zenon_E))); [ zenon_intro zenon_H65 | zenon_intro zenon_H66 ].
% 0.72/0.92 cut (((internal_friction zenon_TX_r zenon_E) = (internal_friction zenon_TX_r zenon_E)) = ((internal_friction zenon_TX_r zenon_TT_p) = (internal_friction zenon_TX_r zenon_E))).
% 0.72/0.92 intro zenon_D_pnotp.
% 0.72/0.92 apply zenon_H64.
% 0.72/0.92 rewrite <- zenon_D_pnotp.
% 0.72/0.92 exact zenon_H65.
% 0.72/0.92 cut (((internal_friction zenon_TX_r zenon_E) = (internal_friction zenon_TX_r zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 0.72/0.92 cut (((internal_friction zenon_TX_r zenon_E) = (internal_friction zenon_TX_r zenon_TT_p))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 0.72/0.92 congruence.
% 0.72/0.92 exact (zenon_H5e zenon_H5d).
% 0.72/0.92 apply zenon_H66. apply refl_equal.
% 0.72/0.92 apply zenon_H66. apply refl_equal.
% 0.72/0.92 apply zenon_H61. apply refl_equal.
% 0.72/0.92 apply (zenon_L2_ zenon_TT_p zenon_TT0_q zenon_TX_r); trivial.
% 0.72/0.92 elim (classic ((internal_friction zenon_TX_r zenon_TT_p) = (internal_friction zenon_TX_r zenon_TT_p))); [ zenon_intro zenon_H67 | zenon_intro zenon_H68 ].
% 0.72/0.92 cut (((internal_friction zenon_TX_r zenon_TT_p) = (internal_friction zenon_TX_r zenon_TT_p)) = ((internal_friction zenon_TX_r zenon_E) = (internal_friction zenon_TX_r zenon_TT_p))).
% 0.72/0.92 intro zenon_D_pnotp.
% 0.72/0.92 apply zenon_H5e.
% 0.72/0.92 rewrite <- zenon_D_pnotp.
% 0.72/0.92 exact zenon_H67.
% 0.72/0.92 cut (((internal_friction zenon_TX_r zenon_TT_p) = (internal_friction zenon_TX_r zenon_TT_p))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 0.72/0.92 cut (((internal_friction zenon_TX_r zenon_TT_p) = (internal_friction zenon_TX_r zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 0.72/0.92 congruence.
% 0.72/0.92 exact (zenon_H64 zenon_H5c).
% 0.72/0.92 apply zenon_H68. apply refl_equal.
% 0.72/0.92 apply zenon_H68. apply refl_equal.
% 0.72/0.92 exact (zenon_H57 zenon_H5a).
% 0.72/0.92 exact (zenon_H50 zenon_H55).
% 0.72/0.92 exact (zenon_H36 zenon_H4e).
% 0.72/0.92 apply (zenon_L5_ zenon_TT0_q zenon_TX_r); trivial.
% 0.72/0.92 Qed.
% 0.72/0.92 % SZS output end Proof
% 0.72/0.92 (* END-PROOF *)
% 0.72/0.92 nodes searched: 34588
% 0.72/0.92 max branch formulas: 974
% 0.72/0.92 proof nodes created: 660
% 0.72/0.92 formulas created: 18051
% 0.72/0.92
%------------------------------------------------------------------------------