%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO208+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 07:00:50 EDT 2022 % Result : Theorem 0.22s 0.53s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : GEO208+2 : TPTP v8.1.0. Released v3.3.0. % 0.08/0.15 % Command : run_zenon %s %d % 0.14/0.36 % Computer : n029.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Sat Jun 18 05:26:28 EDT 2022 % 0.14/0.36 % CPUTime : % 0.22/0.53 (* PROOF-FOUND *) % 0.22/0.53 % SZS status Theorem % 0.22/0.53 (* BEGIN-PROOF *) % 0.22/0.53 % SZS output start Proof % 0.22/0.53 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (((~(apart_point_and_line X Y))/\((~(apart_point_and_line X Z))/\(~(convergent_lines Y Z))))->(~(distinct_lines Y Z)))))). % 0.22/0.53 Proof. % 0.22/0.53 apply NNPP. intro zenon_G. % 0.22/0.53 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, (((~(apart_point_and_line X Y))/\((~(apart_point_and_line X Z))/\(~(convergent_lines Y Z))))->(~(distinct_lines Y Z)))))) zenon_G); [ zenon_intro zenon_H10; idtac ]. % 0.22/0.53 elim zenon_H10. zenon_intro zenon_TX_r. zenon_intro zenon_H12. % 0.22/0.53 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (((~(apart_point_and_line zenon_TX_r Y))/\((~(apart_point_and_line zenon_TX_r Z))/\(~(convergent_lines Y Z))))->(~(distinct_lines Y Z))))) zenon_H12); [ zenon_intro zenon_H13; idtac ]. % 0.22/0.53 elim zenon_H13. zenon_intro zenon_TY_u. zenon_intro zenon_H15. % 0.22/0.53 apply (zenon_notallex_s (fun Z : zenon_U => (((~(apart_point_and_line zenon_TX_r zenon_TY_u))/\((~(apart_point_and_line zenon_TX_r Z))/\(~(convergent_lines zenon_TY_u Z))))->(~(distinct_lines zenon_TY_u Z)))) zenon_H15); [ zenon_intro zenon_H16; idtac ]. % 0.22/0.53 elim zenon_H16. zenon_intro zenon_TZ_x. zenon_intro zenon_H18. % 0.22/0.53 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.22/0.53 apply zenon_H19. zenon_intro zenon_H1b. % 0.22/0.53 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.22/0.53 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.22/0.53 generalize (cup1 zenon_TX_r). zenon_intro zenon_H20. % 0.22/0.53 generalize (zenon_H20 zenon_TY_u). zenon_intro zenon_H21. % 0.22/0.53 generalize (zenon_H21 zenon_TZ_x). zenon_intro zenon_H22. % 0.22/0.53 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 0.22/0.53 exact (zenon_H24 zenon_H1b). % 0.22/0.53 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 0.22/0.53 exact (zenon_H1d zenon_H26). % 0.22/0.53 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.22/0.53 exact (zenon_H1f zenon_H28). % 0.22/0.53 exact (zenon_H1e zenon_H27). % 0.22/0.53 Qed. % 0.22/0.53 % SZS output end Proof % 0.22/0.53 (* END-PROOF *) % 0.22/0.53 nodes searched: 291 % 0.22/0.53 max branch formulas: 223 % 0.22/0.53 proof nodes created: 45 % 0.22/0.53 formulas created: 1778 % 0.22/0.53 %------------------------------------------------------------------------------