%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO250+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n018.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 0.20s 0.53s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : GEO250+3 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n018.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Sat Jun 18 09:13:18 EDT 2022 % 0.13/0.35 % CPUTime : % 0.20/0.53 (* PROOF-FOUND *) % 0.20/0.53 % SZS status Theorem % 0.20/0.53 (* BEGIN-PROOF *) % 0.20/0.53 % SZS output start Proof % 0.20/0.53 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, ((left_apart_point B (parallel_through_point L A))->(right_apart_point A (parallel_through_point L B)))))). % 0.20/0.53 Proof. % 0.20/0.53 apply NNPP. intro zenon_G. % 0.20/0.53 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, ((left_apart_point B (parallel_through_point L A))->(right_apart_point A (parallel_through_point L B)))))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.20/0.53 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27. % 0.20/0.53 apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, ((left_apart_point B (parallel_through_point L zenon_TA_bm))->(right_apart_point zenon_TA_bm (parallel_through_point L B))))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.20/0.53 elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a. % 0.20/0.53 apply (zenon_notallex_s (fun L : zenon_U => ((left_apart_point zenon_TB_bp (parallel_through_point L zenon_TA_bm))->(right_apart_point zenon_TA_bm (parallel_through_point L zenon_TB_bp)))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.20/0.53 elim zenon_H2b. zenon_intro zenon_TL_bs. zenon_intro zenon_H2d. % 0.20/0.53 apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.20/0.53 generalize (ax10_basics zenon_TB_bp). zenon_intro zenon_H30. % 0.20/0.53 generalize (zenon_H30 (parallel_through_point zenon_TL_bs zenon_TA_bm)). zenon_intro zenon_H31. % 0.20/0.53 apply (zenon_notor_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.20/0.53 exact (zenon_H33 zenon_H2f). % 0.20/0.53 Qed. % 0.20/0.53 % SZS output end Proof % 0.20/0.53 (* END-PROOF *) % 0.20/0.53 nodes searched: 453 % 0.20/0.53 max branch formulas: 415 % 0.20/0.53 proof nodes created: 23 % 0.20/0.53 formulas created: 3651 % 0.20/0.53 %------------------------------------------------------------------------------