%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO251+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n012.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 07:01:19 EDT 2022 % Result : Theorem 0.19s 0.49s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GEO251+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n012.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 13:23:08 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.49 (* PROOF-FOUND *) % 0.19/0.49 % SZS status Theorem % 0.19/0.49 (* BEGIN-PROOF *) % 0.19/0.49 % SZS output start Proof % 0.19/0.49 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, ((left_apart_point B (reverse_line (parallel_through_point L A)))->(left_apart_point A (parallel_through_point L B)))))). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, ((left_apart_point B (reverse_line (parallel_through_point L A)))->(left_apart_point A (parallel_through_point L B)))))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.19/0.49 elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22. % 0.19/0.49 apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, ((left_apart_point B (reverse_line (parallel_through_point L zenon_TA_bh)))->(left_apart_point zenon_TA_bh (parallel_through_point L B))))) zenon_H22); [ zenon_intro zenon_H23; idtac ]. % 0.19/0.49 elim zenon_H23. zenon_intro zenon_TB_bk. zenon_intro zenon_H25. % 0.19/0.49 apply (zenon_notallex_s (fun L : zenon_U => ((left_apart_point zenon_TB_bk (reverse_line (parallel_through_point L zenon_TA_bh)))->(left_apart_point zenon_TA_bh (parallel_through_point L zenon_TB_bk)))) zenon_H25); [ zenon_intro zenon_H26; idtac ]. % 0.19/0.49 elim zenon_H26. zenon_intro zenon_TL_bn. zenon_intro zenon_H28. % 0.19/0.49 apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 0.19/0.49 generalize (oag10 zenon_TB_bk). zenon_intro zenon_H2b. % 0.19/0.49 generalize (zenon_H2b (parallel_through_point zenon_TL_bn zenon_TA_bh)). zenon_intro zenon_H2c. % 0.19/0.49 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d. % 0.19/0.49 exact (zenon_H2d zenon_H2a). % 0.19/0.49 Qed. % 0.19/0.49 % SZS output end Proof % 0.19/0.49 (* END-PROOF *) % 0.19/0.49 nodes searched: 236 % 0.19/0.49 max branch formulas: 257 % 0.19/0.49 proof nodes created: 12 % 0.19/0.49 formulas created: 2268 % 0.19/0.49 %------------------------------------------------------------------------------