%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO238+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 0.19s 0.52s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO238+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n019.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 18:02:39 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.52 (* PROOF-FOUND *) % 0.19/0.52 % SZS status Theorem % 0.19/0.52 (* BEGIN-PROOF *) % 0.19/0.52 % SZS output start Proof % 0.19/0.52 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))))))). % 0.19/0.52 Proof. % 0.19/0.52 apply NNPP. intro zenon_G. % 0.19/0.52 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_H25; idtac ]. % 0.19/0.52 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27. % 0.19/0.52 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall L : zenon_U, (((divides_points L zenon_TA_bm B)/\(divides_points L zenon_TA_bm C))->(~(divides_points L B C)))))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.19/0.52 elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a. % 0.19/0.52 apply (zenon_notallex_s (fun C : zenon_U => (forall L : zenon_U, (((divides_points L zenon_TA_bm zenon_TB_bp)/\(divides_points L zenon_TA_bm C))->(~(divides_points L zenon_TB_bp C))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.19/0.52 elim zenon_H2b. zenon_intro zenon_TC_bs. zenon_intro zenon_H2d. % 0.19/0.52 apply (zenon_notallex_s (fun L : zenon_U => (((divides_points L zenon_TA_bm zenon_TB_bp)/\(divides_points L zenon_TA_bm zenon_TC_bs))->(~(divides_points L zenon_TB_bp zenon_TC_bs)))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ]. % 0.19/0.52 elim zenon_H2e. zenon_intro zenon_TL_bv. zenon_intro zenon_H30. % 0.19/0.52 apply (zenon_notimply_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31. % 0.19/0.52 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H34. zenon_intro zenon_H33. % 0.19/0.52 generalize (a8_defns zenon_TA_bm). zenon_intro zenon_H35. % 0.19/0.52 generalize (zenon_H35 zenon_TB_bp). zenon_intro zenon_H36. % 0.19/0.52 generalize (zenon_H36 zenon_TL_bv). zenon_intro zenon_H37. % 0.19/0.52 apply (zenon_equiv_s _ _ zenon_H37); [ zenon_intro zenon_H3a; zenon_intro zenon_H39 | zenon_intro zenon_H34; zenon_intro zenon_H38 ]. % 0.19/0.52 exact (zenon_H3a zenon_H34). % 0.19/0.52 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 0.19/0.52 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3e. zenon_intro zenon_H3d. % 0.19/0.52 generalize (ax10_basics zenon_TA_bm). zenon_intro zenon_H3f. % 0.19/0.52 generalize (zenon_H3f zenon_TL_bv). zenon_intro zenon_H40. % 0.19/0.52 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H42. zenon_intro zenon_H41. % 0.19/0.52 exact (zenon_H42 zenon_H3e). % 0.19/0.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H44. zenon_intro zenon_H43. % 0.19/0.52 generalize (ax10_basics zenon_TB_bp). zenon_intro zenon_H45. % 0.19/0.52 generalize (zenon_H45 zenon_TL_bv). zenon_intro zenon_H46. % 0.19/0.52 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H48. zenon_intro zenon_H47. % 0.19/0.52 exact (zenon_H48 zenon_H43). % 0.19/0.52 Qed. % 0.19/0.52 % SZS output end Proof % 0.19/0.52 (* END-PROOF *) % 0.19/0.52 nodes searched: 753 % 0.19/0.52 max branch formulas: 346 % 0.19/0.52 proof nodes created: 53 % 0.19/0.52 formulas created: 2874 % 0.19/0.52 %------------------------------------------------------------------------------