%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO238+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 07:01:12 EDT 2022 % Result : Theorem 0.18s 0.50s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO238+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.00/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n024.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sat Jun 18 09:34:47 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.50 (* PROOF-FOUND *) % 0.18/0.50 % SZS status Theorem % 0.18/0.50 (* BEGIN-PROOF *) % 0.18/0.50 % SZS output start Proof % 0.18/0.50 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (forall L : zenon_U, (((divides_points L A B)/\(divides_points L A C))->(~(divides_points L B C))))))). % 0.18/0.50 Proof. % 0.18/0.50 assert (zenon_L1_ : forall (zenon_TL_bh : zenon_U) (zenon_TC_bi : zenon_U), (left_apart_point zenon_TC_bi zenon_TL_bh) -> False). % 0.18/0.50 do 2 intro. intros zenon_H20. % 0.18/0.50 generalize (oag10 zenon_TC_bi). zenon_intro zenon_H23. % 0.18/0.50 generalize (zenon_H23 zenon_TL_bh). zenon_intro zenon_H24. % 0.18/0.50 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H26. zenon_intro zenon_H25. % 0.18/0.50 exact (zenon_H26 zenon_H20). % 0.18/0.50 (* end of lemma zenon_L1_ *) % 0.18/0.50 apply NNPP. intro zenon_G. % 0.18/0.50 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (forall L : zenon_U, (((divides_points L A B)/\(divides_points L A C))->(~(divides_points L B C))))))) zenon_G); [ zenon_intro zenon_H27; idtac ]. % 0.18/0.50 elim zenon_H27. zenon_intro zenon_TA_bo. zenon_intro zenon_H29. % 0.18/0.50 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall L : zenon_U, (((divides_points L zenon_TA_bo B)/\(divides_points L zenon_TA_bo C))->(~(divides_points L B C)))))) zenon_H29); [ zenon_intro zenon_H2a; idtac ]. % 0.18/0.50 elim zenon_H2a. zenon_intro zenon_TB_br. zenon_intro zenon_H2c. % 0.18/0.50 apply (zenon_notallex_s (fun C : zenon_U => (forall L : zenon_U, (((divides_points L zenon_TA_bo zenon_TB_br)/\(divides_points L zenon_TA_bo C))->(~(divides_points L zenon_TB_br C))))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ]. % 0.18/0.50 elim zenon_H2d. zenon_intro zenon_TC_bi. zenon_intro zenon_H2e. % 0.18/0.50 apply (zenon_notallex_s (fun L : zenon_U => (((divides_points L zenon_TA_bo zenon_TB_br)/\(divides_points L zenon_TA_bo zenon_TC_bi))->(~(divides_points L zenon_TB_br zenon_TC_bi)))) zenon_H2e); [ zenon_intro zenon_H2f; idtac ]. % 0.18/0.50 elim zenon_H2f. zenon_intro zenon_TL_bh. zenon_intro zenon_H30. % 0.18/0.50 apply (zenon_notimply_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31. % 0.18/0.50 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H34. zenon_intro zenon_H33. % 0.18/0.50 generalize (div_def zenon_TA_bo). zenon_intro zenon_H35. % 0.18/0.50 generalize (zenon_H35 zenon_TC_bi). zenon_intro zenon_H36. % 0.18/0.50 generalize (zenon_H36 zenon_TL_bh). zenon_intro zenon_H37. % 0.18/0.50 apply (zenon_equiv_s _ _ zenon_H37); [ zenon_intro zenon_H3a; zenon_intro zenon_H39 | zenon_intro zenon_H33; zenon_intro zenon_H38 ]. % 0.18/0.50 exact (zenon_H3a zenon_H33). % 0.18/0.50 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 0.18/0.50 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3e. zenon_intro zenon_H3d. % 0.18/0.50 generalize (oag10 zenon_TA_bo). zenon_intro zenon_H3f. % 0.18/0.50 generalize (zenon_H3f zenon_TL_bh). zenon_intro zenon_H40. % 0.18/0.50 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H42. zenon_intro zenon_H41. % 0.18/0.50 exact (zenon_H42 zenon_H3e). % 0.18/0.50 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H43. zenon_intro zenon_H20. % 0.18/0.50 apply (zenon_L1_ zenon_TL_bh zenon_TC_bi); trivial. % 0.18/0.50 Qed. % 0.18/0.50 % SZS output end Proof % 0.18/0.50 (* END-PROOF *) % 0.18/0.50 nodes searched: 738 % 0.18/0.50 max branch formulas: 336 % 0.18/0.50 proof nodes created: 54 % 0.18/0.50 formulas created: 2865 % 0.18/0.50 %------------------------------------------------------------------------------