%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT007+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n003.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 06:24:16 AM UTC 2026 % Result : Theorem 21.16s 21.45s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT007+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.08/0.33 % Computer : n003.cluster.edu % 0.08/0.33 % Model : x86_64 x86_64 % 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.33 % Memory : 8046.5625MB % 0.08/0.33 % OS : Linux 6.8.0-71-generic % 0.08/0.33 % CPULimit : 300 % 0.08/0.33 % WCLimit : 300 % 0.08/0.33 % DateTime : Mon Sep 7 11:44:38 UTC 2026 % 0.08/0.33 % CPUTime : % 21.16/21.45 (* PROOF-FOUND *) % 21.16/21.45 % SZS status Theorem % 21.16/21.45 (* BEGIN-PROOF *) % 21.16/21.45 % SZS output start Proof % 21.16/21.45 Theorem t7_FOL : (forall X : zenon_U, (forall Rp1 : zenon_U, (forall Rp2 : zenon_U, (forall T1 : zenon_U, (forall T2 : zenon_U, (forall Ta : zenon_U, (forall Tb : zenon_U, (((organization X T1)/\((organization X T2)/\((reorganization X Ta Tb)/\((reproducibility X Rp1 T1)/\((reproducibility X Rp2 T2)/\((~(greater Ta T1))/\((greater T2 T1)/\(~(greater T2 Tb)))))))))->(greater Rp1 Rp2))))))))). % 21.16/21.45 Proof. % 21.16/21.45 assert (zenon_L1_ : forall (zenon_TRp1_r : zenon_U) (zenon_TRp2_s : zenon_U) (zenon_TA_t : zenon_U) (zenon_TA_u : zenon_U) (zenon_TR_v : zenon_U) (zenon_TR_w : zenon_U) (zenon_TT1_x : zenon_U) (zenon_TT2_y : zenon_U) (zenon_TX_z : zenon_U), (forall Rp2 : zenon_U, (((organization zenon_TX_z zenon_TT2_y)/\((organization zenon_TX_z zenon_TT1_x)/\((reliability zenon_TX_z zenon_TR_w zenon_TT2_y)/\((reliability zenon_TX_z zenon_TR_v zenon_TT1_x)/\((accountability zenon_TX_z zenon_TA_u zenon_TT2_y)/\((accountability zenon_TX_z zenon_TA_t zenon_TT1_x)/\((reproducibility zenon_TX_z zenon_TRp2_s zenon_TT2_y)/\(reproducibility zenon_TX_z Rp2 zenon_TT1_x))))))))->((greater Rp2 zenon_TRp2_s)<->((greater zenon_TR_v zenon_TR_w)/\(greater zenon_TA_t zenon_TA_u))))) -> (organization zenon_TX_z zenon_TT2_y) -> (organization zenon_TX_z zenon_TT1_x) -> (reliability zenon_TX_z zenon_TR_w zenon_TT2_y) -> (reliability zenon_TX_z zenon_TR_v zenon_TT1_x) -> (accountability zenon_TX_z zenon_TA_u zenon_TT2_y) -> (accountability zenon_TX_z zenon_TA_t zenon_TT1_x) -> (reproducibility zenon_TX_z zenon_TRp2_s zenon_TT2_y) -> (reproducibility zenon_TX_z zenon_TRp1_r zenon_TT1_x) -> (~(greater zenon_TRp1_r zenon_TRp2_s)) -> ((greater zenon_TR_v zenon_TR_w)/\(greater zenon_TA_t zenon_TA_u)) -> False). % 21.16/21.45 do 9 intro. intros zenon_H6 zenon_H7 zenon_H8 zenon_H9 zenon_Ha zenon_Hb zenon_Hc zenon_Hd zenon_He zenon_Hf zenon_H10. % 21.16/21.45 generalize (zenon_H6 zenon_TRp1_r). zenon_intro zenon_H1a. % 21.16/21.45 apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 21.16/21.45 apply (zenon_notand_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 21.16/21.45 exact (zenon_H1e zenon_H7). % 21.16/21.45 apply (zenon_notand_s _ _ zenon_H1d); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ]. % 21.16/21.45 exact (zenon_H20 zenon_H8). % 21.16/21.45 apply (zenon_notand_s _ _ zenon_H1f); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 21.16/21.45 exact (zenon_H22 zenon_H9). % 21.16/21.45 apply (zenon_notand_s _ _ zenon_H21); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 21.16/21.45 exact (zenon_H24 zenon_Ha). % 21.16/21.45 apply (zenon_notand_s _ _ zenon_H23); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 21.16/21.45 exact (zenon_H26 zenon_Hb). % 21.16/21.45 apply (zenon_notand_s _ _ zenon_H25); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 21.16/21.45 exact (zenon_H28 zenon_Hc). % 21.16/21.45 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 21.16/21.45 exact (zenon_H2a zenon_Hd). % 21.16/21.45 exact (zenon_H29 zenon_He). % 21.16/21.45 apply (zenon_equiv_s _ _ zenon_H1b); [ zenon_intro zenon_Hf; zenon_intro zenon_H2c | zenon_intro zenon_H2b; zenon_intro zenon_H10 ]. % 21.16/21.45 exact (zenon_H2c zenon_H10). % 21.16/21.45 exact (zenon_Hf zenon_H2b). % 21.16/21.45 (* end of lemma zenon_L1_ *) % 21.16/21.45 apply NNPP. intro zenon_G. % 21.16/21.45 apply (zenon_notallex_s (fun X : zenon_U => (forall Rp1 : zenon_U, (forall Rp2 : zenon_U, (forall T1 : zenon_U, (forall T2 : zenon_U, (forall Ta : zenon_U, (forall Tb : zenon_U, (((organization X T1)/\((organization X T2)/\((reorganization X Ta Tb)/\((reproducibility X Rp1 T1)/\((reproducibility X Rp2 T2)/\((~(greater Ta T1))/\((greater T2 T1)/\(~(greater T2 Tb)))))))))->(greater Rp1 Rp2))))))))) zenon_G); [ zenon_intro zenon_H2d; idtac ]. % 21.16/21.45 elim zenon_H2d. zenon_intro zenon_TX_z. zenon_intro zenon_H2e. % 21.16/21.45 apply (zenon_notallex_s (fun Rp1 : zenon_U => (forall Rp2 : zenon_U, (forall T1 : zenon_U, (forall T2 : zenon_U, (forall Ta : zenon_U, (forall Tb : zenon_U, (((organization zenon_TX_z T1)/\((organization zenon_TX_z T2)/\((reorganization zenon_TX_z Ta Tb)/\((reproducibility zenon_TX_z Rp1 T1)/\((reproducibility zenon_TX_z Rp2 T2)/\((~(greater Ta T1))/\((greater T2 T1)/\(~(greater T2 Tb)))))))))->(greater Rp1 Rp2)))))))) zenon_H2e); [ zenon_intro zenon_H2f; idtac ]. % 21.16/21.45 elim zenon_H2f. zenon_intro zenon_TRp1_r. zenon_intro zenon_H30. % 21.16/21.45 apply (zenon_notallex_s (fun Rp2 : zenon_U => (forall T1 : zenon_U, (forall T2 : zenon_U, (forall Ta : zenon_U, (forall Tb : zenon_U, (((organization zenon_TX_z T1)/\((organization zenon_TX_z T2)/\((reorganization zenon_TX_z Ta Tb)/\((reproducibility zenon_TX_z zenon_TRp1_r T1)/\((reproducibility zenon_TX_z Rp2 T2)/\((~(greater Ta T1))/\((greater T2 T1)/\(~(greater T2 Tb)))))))))->(greater zenon_TRp1_r Rp2))))))) zenon_H30); [ zenon_intro zenon_H31; idtac ]. % 21.16/21.45 elim zenon_H31. zenon_intro zenon_TRp2_s. zenon_intro zenon_H32. % 21.16/21.45 apply (zenon_notallex_s (fun T1 : zenon_U => (forall T2 : zenon_U, (forall Ta : zenon_U, (forall Tb : zenon_U, (((organization zenon_TX_z T1)/\((organization zenon_TX_z T2)/\((reorganization zenon_TX_z Ta Tb)/\((reproducibility zenon_TX_z zenon_TRp1_r T1)/\((reproducibility zenon_TX_z zenon_TRp2_s T2)/\((~(greater Ta T1))/\((greater T2 T1)/\(~(greater T2 Tb)))))))))->(greater zenon_TRp1_r zenon_TRp2_s)))))) zenon_H32); [ zenon_intro zenon_H33; idtac ]. % 21.16/21.45 elim zenon_H33. zenon_intro zenon_TT1_x. zenon_intro zenon_H34. % 21.16/21.45 apply (zenon_notallex_s (fun T2 : zenon_U => (forall Ta : zenon_U, (forall Tb : zenon_U, (((organization zenon_TX_z zenon_TT1_x)/\((organization zenon_TX_z T2)/\((reorganization zenon_TX_z Ta Tb)/\((reproducibility zenon_TX_z zenon_TRp1_r zenon_TT1_x)/\((reproducibility zenon_TX_z zenon_TRp2_s T2)/\((~(greater Ta zenon_TT1_x))/\((greater T2 zenon_TT1_x)/\(~(greater T2 Tb)))))))))->(greater zenon_TRp1_r zenon_TRp2_s))))) zenon_H34); [ zenon_intro zenon_H35; idtac ]. % 21.16/21.45 elim zenon_H35. zenon_intro zenon_TT2_y. zenon_intro zenon_H36. % 21.16/21.45 apply (zenon_notallex_s (fun Ta : zenon_U => (forall Tb : zenon_U, (((organization zenon_TX_z zenon_TT1_x)/\((organization zenon_TX_z zenon_TT2_y)/\((reorganization zenon_TX_z Ta Tb)/\((reproducibility zenon_TX_z zenon_TRp1_r zenon_TT1_x)/\((reproducibility zenon_TX_z zenon_TRp2_s zenon_TT2_y)/\((~(greater Ta zenon_TT1_x))/\((greater zenon_TT2_y zenon_TT1_x)/\(~(greater zenon_TT2_y Tb)))))))))->(greater zenon_TRp1_r zenon_TRp2_s)))) zenon_H36); [ zenon_intro zenon_H37; idtac ]. % 21.16/21.45 elim zenon_H37. zenon_intro zenon_TTa_ce. zenon_intro zenon_H39. % 21.16/21.45 apply (zenon_notallex_s (fun Tb : zenon_U => (((organization zenon_TX_z zenon_TT1_x)/\((organization zenon_TX_z zenon_TT2_y)/\((reorganization zenon_TX_z zenon_TTa_ce Tb)/\((reproducibility zenon_TX_z zenon_TRp1_r zenon_TT1_x)/\((reproducibility zenon_TX_z zenon_TRp2_s zenon_TT2_y)/\((~(greater zenon_TTa_ce zenon_TT1_x))/\((greater zenon_TT2_y zenon_TT1_x)/\(~(greater zenon_TT2_y Tb)))))))))->(greater zenon_TRp1_r zenon_TRp2_s))) zenon_H39); [ zenon_intro zenon_H3a; idtac ]. % 21.16/21.45 elim zenon_H3a. zenon_intro zenon_TTb_ch. zenon_intro zenon_H3c. % 21.16/21.45 apply (zenon_notimply_s _ _ zenon_H3c). zenon_intro zenon_H3d. zenon_intro zenon_Hf. % 21.16/21.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H8. zenon_intro zenon_H3e. % 21.16/21.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H7. zenon_intro zenon_H3f. % 21.16/21.45 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H41. zenon_intro zenon_H40. % 21.16/21.45 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_He. zenon_intro zenon_H42. % 21.16/21.45 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Hd. zenon_intro zenon_H43. % 21.16/21.45 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H45. zenon_intro zenon_H44. % 21.16/21.45 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 21.16/21.45 generalize (a6_FOL zenon_TX_z). zenon_intro zenon_H48. % 21.16/21.45 generalize (a2_FOL zenon_TX_z). zenon_intro zenon_H49. % 21.16/21.45 generalize (zenon_H49 zenon_TX_z). zenon_intro zenon_H4a. % 21.16/21.45 generalize (zenon_H4a zenon_TT2_y). zenon_intro zenon_H4b. % 21.16/21.45 generalize (zenon_H4b zenon_TT1_x). zenon_intro zenon_H4c. % 21.16/21.45 generalize (mp1 zenon_TX_z). zenon_intro zenon_H4d. % 21.16/21.45 generalize (zenon_H4d zenon_TT1_x). zenon_intro zenon_H4e. % 21.16/21.45 apply (zenon_imply_s _ _ zenon_H4e); [ zenon_intro zenon_H20 | zenon_intro zenon_H4f ]. % 21.16/21.45 exact (zenon_H20 zenon_H8). % 21.16/21.45 elim zenon_H4f. zenon_intro zenon_TR_v. zenon_intro zenon_Ha. % 21.16/21.45 generalize (zenon_H4d zenon_TT2_y). zenon_intro zenon_H50. % 21.16/21.45 apply (zenon_imply_s _ _ zenon_H50); [ zenon_intro zenon_H1e | zenon_intro zenon_H51 ]. % 0.13/21.52 exact (zenon_H1e zenon_H7). % 0.13/21.52 elim zenon_H51. zenon_intro zenon_TR_w. zenon_intro zenon_H9. % 0.13/21.52 generalize (zenon_H48 zenon_TR_v). zenon_intro zenon_H52. % 0.13/21.52 generalize (zenon_H4c zenon_TR_w). zenon_intro zenon_H53. % 0.13/21.52 generalize (zenon_H52 zenon_TR_w). zenon_intro zenon_H54. % 0.13/21.52 generalize (zenon_H53 zenon_TR_v). zenon_intro zenon_H55. % 0.13/21.52 generalize (mp2 zenon_TX_z). zenon_intro zenon_H56. % 0.13/21.52 generalize (zenon_H56 zenon_TT2_y). zenon_intro zenon_H57. % 0.13/21.52 apply (zenon_imply_s _ _ zenon_H57); [ zenon_intro zenon_H1e | zenon_intro zenon_H58 ]. % 0.13/21.52 exact (zenon_H1e zenon_H7). % 0.13/21.52 elim zenon_H58. zenon_intro zenon_TA_u. zenon_intro zenon_Hb. % 0.13/21.52 generalize (zenon_H56 zenon_TT1_x). zenon_intro zenon_H59. % 0.13/21.52 apply (zenon_imply_s _ _ zenon_H59); [ zenon_intro zenon_H20 | zenon_intro zenon_H5a ]. % 0.13/21.52 exact (zenon_H20 zenon_H8). % 0.13/21.52 elim zenon_H5a. zenon_intro zenon_TA_t. zenon_intro zenon_Hc. % 0.13/21.52 generalize (zenon_H55 zenon_TA_u). zenon_intro zenon_H5b. % 0.13/21.52 generalize (zenon_H5b zenon_TA_t). zenon_intro zenon_H5c. % 0.13/21.52 generalize (zenon_H54 zenon_TA_t). zenon_intro zenon_H5d. % 0.13/21.52 generalize (zenon_H5c zenon_TRp2_s). zenon_intro zenon_H6. % 0.13/21.52 generalize (zenon_H5d zenon_TA_u). zenon_intro zenon_H5e. % 0.13/21.52 generalize (zenon_H5e zenon_TT1_x). zenon_intro zenon_H5f. % 0.13/21.52 generalize (zenon_H5f zenon_TT2_y). zenon_intro zenon_H60. % 0.13/21.52 generalize (zenon_H60 zenon_TTa_ce). zenon_intro zenon_H61. % 0.13/21.52 generalize (zenon_H61 zenon_TTb_ch). zenon_intro zenon_H62. % 0.13/21.52 apply (zenon_imply_s _ _ zenon_H62); [ zenon_intro zenon_H63 | zenon_intro zenon_H10 ]. % 0.13/21.52 apply (zenon_notand_s _ _ zenon_H63); [ zenon_intro zenon_H20 | zenon_intro zenon_H64 ]. % 0.13/21.52 exact (zenon_H20 zenon_H8). % 0.13/21.52 apply (zenon_notand_s _ _ zenon_H64); [ zenon_intro zenon_H1e | zenon_intro zenon_H65 ]. % 0.13/21.52 exact (zenon_H1e zenon_H7). % 0.13/21.52 apply (zenon_notand_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 0.13/21.52 exact (zenon_H67 zenon_H41). % 0.13/21.52 apply (zenon_notand_s _ _ zenon_H66); [ zenon_intro zenon_H24 | zenon_intro zenon_H68 ]. % 0.13/21.52 exact (zenon_H24 zenon_Ha). % 0.13/21.52 apply (zenon_notand_s _ _ zenon_H68); [ zenon_intro zenon_H22 | zenon_intro zenon_H69 ]. % 0.13/21.52 exact (zenon_H22 zenon_H9). % 0.13/21.52 apply (zenon_notand_s _ _ zenon_H69); [ zenon_intro zenon_H28 | zenon_intro zenon_H6a ]. % 0.13/21.52 exact (zenon_H28 zenon_Hc). % 0.13/21.52 apply (zenon_notand_s _ _ zenon_H6a); [ zenon_intro zenon_H26 | zenon_intro zenon_H6b ]. % 0.13/21.52 exact (zenon_H26 zenon_Hb). % 0.13/21.52 apply (zenon_notand_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 0.13/21.52 exact (zenon_H6d zenon_H45). % 0.13/21.52 apply (zenon_notand_s _ _ zenon_H6c); [ zenon_intro zenon_H6f | zenon_intro zenon_H6e ]. % 0.13/21.52 exact (zenon_H6f zenon_H47). % 0.13/21.52 exact (zenon_H6e zenon_H46). % 0.13/21.52 apply (zenon_L1_ zenon_TRp1_r zenon_TRp2_s zenon_TA_t zenon_TA_u zenon_TR_v zenon_TR_w zenon_TT1_x zenon_TT2_y zenon_TX_z); trivial. % 0.13/21.52 Qed. % 0.13/21.52 % SZS output end Proof % 0.13/21.52 (* END-PROOF *) % 0.13/21.52 nodes searched: 660581 % 0.13/21.52 max branch formulas: 163436 % 0.13/21.52 proof nodes created: 76605 % 0.13/21.52 formulas created: 6282069 % 0.13/21.52 %------------------------------------------------------------------------------