%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO082+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 : Sat Jul 16 06:59:45 EDT 2022 % Result : Theorem 0.47s 0.69s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO082+1 : TPTP v8.1.0. Released v2.4.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n004.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Fri Jun 17 21:24:53 EDT 2022 % 0.12/0.34 % CPUTime : % 0.47/0.69 (* PROOF-FOUND *) % 0.47/0.69 % SZS status Theorem % 0.47/0.69 (* BEGIN-PROOF *) % 0.47/0.69 % SZS output start Proof % 0.47/0.69 Theorem part_of_antisymmetry : (forall C1 : zenon_U, (forall C2 : zenon_U, (((part_of C1 C2)/\(part_of C2 C1))->(C1 = C2)))). % 0.47/0.69 Proof. % 0.47/0.69 apply NNPP. intro zenon_G. % 0.47/0.69 apply (zenon_notallex_s (fun C1 : zenon_U => (forall C2 : zenon_U, (((part_of C1 C2)/\(part_of C2 C1))->(C1 = C2)))) zenon_G); [ zenon_intro zenon_H11; idtac ]. % 0.47/0.69 elim zenon_H11. zenon_intro zenon_TC1_s. zenon_intro zenon_H13. % 0.47/0.69 apply (zenon_notallex_s (fun C2 : zenon_U => (((part_of zenon_TC1_s C2)/\(part_of C2 zenon_TC1_s))->(zenon_TC1_s = C2))) zenon_H13); [ zenon_intro zenon_H14; idtac ]. % 0.47/0.69 elim zenon_H14. zenon_intro zenon_TC2_v. zenon_intro zenon_H16. % 0.47/0.69 apply (zenon_notimply_s _ _ zenon_H16). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.47/0.69 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.47/0.69 generalize (part_of_defn zenon_TC2_v). zenon_intro zenon_H1b. % 0.47/0.69 generalize (zenon_H1b zenon_TC1_s). zenon_intro zenon_H1c. % 0.47/0.69 apply (zenon_equiv_s _ _ zenon_H1c); [ zenon_intro zenon_H1f; zenon_intro zenon_H1e | zenon_intro zenon_H1a; zenon_intro zenon_H1d ]. % 0.47/0.69 exact (zenon_H1f zenon_H1a). % 0.47/0.69 generalize (part_of_defn zenon_TC1_s). zenon_intro zenon_H20. % 0.47/0.69 generalize (zenon_H20 zenon_TC2_v). zenon_intro zenon_H21. % 0.47/0.69 apply (zenon_equiv_s _ _ zenon_H21); [ zenon_intro zenon_H24; zenon_intro zenon_H23 | zenon_intro zenon_H19; zenon_intro zenon_H22 ]. % 0.47/0.69 exact (zenon_H24 zenon_H19). % 0.47/0.69 generalize (c9 zenon_TC1_s). zenon_intro zenon_H25. % 0.47/0.69 generalize (zenon_H25 zenon_TC2_v). zenon_intro zenon_H26. % 0.47/0.69 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.47/0.69 apply (zenon_notallex_s (fun P : zenon_U => ((incident_c P zenon_TC1_s)<->(incident_c P zenon_TC2_v))) zenon_H28); [ zenon_intro zenon_H29; idtac ]. % 0.47/0.69 elim zenon_H29. zenon_intro zenon_TP_bq. zenon_intro zenon_H2b. % 0.47/0.69 apply (zenon_notequiv_s _ _ zenon_H2b); [ zenon_intro zenon_H2f; zenon_intro zenon_H2e | zenon_intro zenon_H2d; zenon_intro zenon_H2c ]. % 0.47/0.69 generalize (zenon_H22 zenon_TP_bq). zenon_intro zenon_H30. % 0.47/0.69 apply (zenon_imply_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ]. % 0.47/0.69 exact (zenon_H2c zenon_H2e). % 0.47/0.69 exact (zenon_H2f zenon_H2d). % 0.47/0.69 generalize (zenon_H1d zenon_TP_bq). zenon_intro zenon_H31. % 0.47/0.69 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H2f | zenon_intro zenon_H2e ]. % 0.47/0.69 exact (zenon_H2f zenon_H2d). % 0.47/0.69 exact (zenon_H2c zenon_H2e). % 0.47/0.69 exact (zenon_H17 zenon_H27). % 0.47/0.69 Qed. % 0.47/0.69 % SZS output end Proof % 0.47/0.69 (* END-PROOF *) % 0.47/0.69 nodes searched: 7473 % 0.47/0.69 max branch formulas: 2090 % 0.47/0.69 proof nodes created: 454 % 0.47/0.69 formulas created: 37827 % 0.47/0.69 %------------------------------------------------------------------------------