%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS179+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 03:39:41 EDT 2022 % Result : Theorem 0.38s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : KRS179+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.04/0.15 % Command : run_zenon %s %d % 0.15/0.36 % Computer : n029.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Tue Jun 7 06:14:35 EDT 2022 % 0.15/0.37 % CPUTime : % 0.38/0.55 (* PROOF-FOUND *) % 0.38/0.55 % SZS status Theorem % 0.38/0.55 (* BEGIN-PROOF *) % 0.38/0.55 % SZS output start Proof % 0.38/0.55 Theorem isa_transitive : (forall S1 : zenon_U, (forall S2 : zenon_U, (forall S3 : zenon_U, (((isa S1 S2)/\(isa S2 S3))->(isa S1 S3))))). % 0.38/0.55 Proof. % 0.38/0.55 apply NNPP. intro zenon_G. % 0.38/0.55 apply (zenon_notallex_s (fun S1 : zenon_U => (forall S2 : zenon_U, (forall S3 : zenon_U, (((isa S1 S2)/\(isa S2 S3))->(isa S1 S3))))) zenon_G); [ zenon_intro zenon_He; idtac ]. % 0.38/0.55 elim zenon_He. zenon_intro zenon_TS1_p. zenon_intro zenon_H10. % 0.38/0.55 apply (zenon_notallex_s (fun S2 : zenon_U => (forall S3 : zenon_U, (((isa zenon_TS1_p S2)/\(isa S2 S3))->(isa zenon_TS1_p S3)))) zenon_H10); [ zenon_intro zenon_H11; idtac ]. % 0.38/0.55 elim zenon_H11. zenon_intro zenon_TS2_s. zenon_intro zenon_H13. % 0.38/0.55 apply (zenon_notallex_s (fun S3 : zenon_U => (((isa zenon_TS1_p zenon_TS2_s)/\(isa zenon_TS2_s S3))->(isa zenon_TS1_p S3))) zenon_H13); [ zenon_intro zenon_H14; idtac ]. % 0.38/0.55 elim zenon_H14. zenon_intro zenon_TS3_v. zenon_intro zenon_H16. % 0.38/0.55 apply (zenon_notimply_s _ _ zenon_H16). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.38/0.55 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.38/0.55 generalize (isa zenon_TS1_p). zenon_intro zenon_H1b. % 0.38/0.55 generalize (zenon_H1b zenon_TS2_s). zenon_intro zenon_H1c. % 0.38/0.55 apply (zenon_equiv_s _ _ zenon_H1c); [ zenon_intro zenon_H1f; zenon_intro zenon_H1e | zenon_intro zenon_H1d; zenon_intro zenon_H1a ]. % 0.38/0.55 exact (zenon_H1e zenon_H1a). % 0.38/0.55 generalize (isa zenon_TS2_s). zenon_intro zenon_H20. % 0.38/0.55 generalize (zenon_H20 zenon_TS3_v). zenon_intro zenon_H21. % 0.38/0.55 apply (zenon_equiv_s _ _ zenon_H21); [ zenon_intro zenon_H24; zenon_intro zenon_H23 | zenon_intro zenon_H22; zenon_intro zenon_H19 ]. % 0.38/0.55 exact (zenon_H23 zenon_H19). % 0.38/0.55 generalize (isa zenon_TS1_p). zenon_intro zenon_H1b. % 0.38/0.55 generalize (zenon_H1b zenon_TS3_v). zenon_intro zenon_H25. % 0.38/0.55 apply (zenon_equiv_s _ _ zenon_H25); [ zenon_intro zenon_H28; zenon_intro zenon_H17 | zenon_intro zenon_H27; zenon_intro zenon_H26 ]. % 0.38/0.55 apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C zenon_TS1_p)->(status Ax C zenon_TS3_v)))) zenon_H28); [ zenon_intro zenon_H29; idtac ]. % 0.38/0.55 elim zenon_H29. zenon_intro zenon_TAx_bq. zenon_intro zenon_H2b. % 0.38/0.55 apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_bq C zenon_TS1_p)->(status zenon_TAx_bq C zenon_TS3_v))) zenon_H2b); [ zenon_intro zenon_H2c; idtac ]. % 0.38/0.55 elim zenon_H2c. zenon_intro zenon_TC_bt. zenon_intro zenon_H2e. % 0.38/0.55 apply (zenon_notimply_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.38/0.55 generalize (zenon_H22 zenon_TAx_bq). zenon_intro zenon_H31. % 0.38/0.55 generalize (zenon_H31 zenon_TC_bt). zenon_intro zenon_H32. % 0.38/0.55 apply (zenon_imply_s _ _ zenon_H32); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ]. % 0.38/0.55 generalize (zenon_H1d zenon_TAx_bq). zenon_intro zenon_H35. % 0.38/0.55 generalize (zenon_H35 zenon_TC_bt). zenon_intro zenon_H36. % 0.38/0.55 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 0.38/0.55 exact (zenon_H38 zenon_H30). % 0.38/0.55 exact (zenon_H34 zenon_H37). % 0.38/0.55 exact (zenon_H2f zenon_H33). % 0.38/0.55 exact (zenon_H17 zenon_H26). % 0.38/0.55 Qed. % 0.38/0.55 % SZS output end Proof % 0.38/0.55 (* END-PROOF *) % 0.38/0.55 nodes searched: 97 % 0.38/0.55 max branch formulas: 110 % 0.38/0.55 proof nodes created: 26 % 0.38/0.55 formulas created: 1035 % 0.38/0.55 %------------------------------------------------------------------------------