%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO081+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n032.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 06:59:44 EDT 2022 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.09 % Problem : GEO081+1 : TPTP v8.1.0. Released v2.4.0. % 0.08/0.09 % Command : run_zenon %s %d % 0.09/0.28 % Computer : n032.cluster.edu % 0.09/0.28 % Model : x86_64 x86_64 % 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.28 % Memory : 8042.1875MB % 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.28 % CPULimit : 300 % 0.09/0.28 % WCLimit : 600 % 0.09/0.28 % DateTime : Sat Jun 18 00:59:16 EDT 2022 % 0.09/0.28 % CPUTime : % 0.37/0.56 (* PROOF-FOUND *) % 0.37/0.56 % SZS status Theorem % 0.37/0.56 (* BEGIN-PROOF *) % 0.37/0.56 % SZS output start Proof % 0.37/0.56 Theorem part_of_transitivity : (forall C1 : zenon_U, (forall C2 : zenon_U, (forall C3 : zenon_U, (((part_of C1 C2)/\(part_of C2 C3))->(part_of C1 C3))))). % 0.37/0.56 Proof. % 0.37/0.56 apply NNPP. intro zenon_G. % 0.37/0.56 apply (zenon_notallex_s (fun C1 : zenon_U => (forall C2 : zenon_U, (forall C3 : zenon_U, (((part_of C1 C2)/\(part_of C2 C3))->(part_of C1 C3))))) zenon_G); [ zenon_intro zenon_H11; idtac ]. % 0.37/0.56 elim zenon_H11. zenon_intro zenon_TC1_s. zenon_intro zenon_H13. % 0.37/0.56 apply (zenon_notallex_s (fun C2 : zenon_U => (forall C3 : zenon_U, (((part_of zenon_TC1_s C2)/\(part_of C2 C3))->(part_of zenon_TC1_s C3)))) zenon_H13); [ zenon_intro zenon_H14; idtac ]. % 0.37/0.56 elim zenon_H14. zenon_intro zenon_TC2_v. zenon_intro zenon_H16. % 0.37/0.56 apply (zenon_notallex_s (fun C3 : zenon_U => (((part_of zenon_TC1_s zenon_TC2_v)/\(part_of zenon_TC2_v C3))->(part_of zenon_TC1_s C3))) zenon_H16); [ zenon_intro zenon_H17; idtac ]. % 0.37/0.56 elim zenon_H17. zenon_intro zenon_TC3_y. zenon_intro zenon_H19. % 0.37/0.56 apply (zenon_notimply_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.37/0.56 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.37/0.56 generalize (part_of_defn zenon_TC2_v). zenon_intro zenon_H1e. % 0.37/0.56 generalize (zenon_H1e zenon_TC1_s). zenon_intro zenon_H1f. % 0.37/0.56 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H22; zenon_intro zenon_H21 | zenon_intro zenon_H1d; zenon_intro zenon_H20 ]. % 0.37/0.56 exact (zenon_H22 zenon_H1d). % 0.37/0.56 generalize (part_of_defn zenon_TC3_y). zenon_intro zenon_H23. % 0.37/0.56 generalize (zenon_H23 zenon_TC2_v). zenon_intro zenon_H24. % 0.37/0.56 apply (zenon_equiv_s _ _ zenon_H24); [ zenon_intro zenon_H27; zenon_intro zenon_H26 | zenon_intro zenon_H1c; zenon_intro zenon_H25 ]. % 0.37/0.56 exact (zenon_H27 zenon_H1c). % 0.37/0.56 generalize (part_of_defn zenon_TC3_y). zenon_intro zenon_H23. % 0.37/0.56 generalize (zenon_H23 zenon_TC1_s). zenon_intro zenon_H28. % 0.37/0.56 apply (zenon_equiv_s _ _ zenon_H28); [ zenon_intro zenon_H1a; zenon_intro zenon_H2b | zenon_intro zenon_H2a; zenon_intro zenon_H29 ]. % 0.37/0.56 apply (zenon_notallex_s (fun P : zenon_U => ((incident_c P zenon_TC1_s)->(incident_c P zenon_TC3_y))) zenon_H2b); [ zenon_intro zenon_H2c; idtac ]. % 0.37/0.56 elim zenon_H2c. zenon_intro zenon_TP_bt. zenon_intro zenon_H2e. % 0.37/0.56 apply (zenon_notimply_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.37/0.56 generalize (zenon_H25 zenon_TP_bt). zenon_intro zenon_H31. % 0.37/0.56 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 0.37/0.56 generalize (zenon_H20 zenon_TP_bt). zenon_intro zenon_H34. % 0.37/0.56 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ]. % 0.37/0.56 exact (zenon_H36 zenon_H30). % 0.37/0.56 exact (zenon_H33 zenon_H35). % 0.37/0.56 exact (zenon_H2f zenon_H32). % 0.37/0.56 exact (zenon_H1a zenon_H2a). % 0.37/0.56 Qed. % 0.37/0.56 % SZS output end Proof % 0.37/0.56 (* END-PROOF *) % 0.37/0.56 nodes searched: 6747 % 0.37/0.56 max branch formulas: 2667 % 0.37/0.56 proof nodes created: 358 % 0.37/0.56 formulas created: 43457 % 0.37/0.56 %------------------------------------------------------------------------------