%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO216+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n022.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 07:00:57 EDT 2022 % Result : Theorem 0.20s 0.51s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : GEO216+2 : TPTP v8.1.0. Released v3.3.0. % 0.08/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n022.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Sat Jun 18 03:30:32 EDT 2022 % 0.14/0.34 % CPUTime : % 0.20/0.51 (* PROOF-FOUND *) % 0.20/0.51 % SZS status Theorem % 0.20/0.51 (* BEGIN-PROOF *) % 0.20/0.51 % SZS output start Proof % 0.20/0.51 Theorem con : (forall L : zenon_U, (~(~(unorthogonal_lines L L)))). % 0.20/0.51 Proof. % 0.20/0.51 apply NNPP. intro zenon_G. % 0.20/0.51 apply (zenon_notallex_s (fun L : zenon_U => (~(~(unorthogonal_lines L L)))) zenon_G); [ zenon_intro zenon_H10; idtac ]. % 0.20/0.51 elim zenon_H10. zenon_intro zenon_TL_r. zenon_intro zenon_H12. % 0.20/0.51 apply zenon_H12. zenon_intro zenon_H13. % 0.20/0.51 generalize (coipo1 zenon_TL_r). zenon_intro zenon_H14. % 0.20/0.51 generalize (zenon_H14 zenon_TL_r). zenon_intro zenon_H15. % 0.20/0.51 apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ]. % 0.20/0.51 apply zenon_H17. zenon_intro zenon_H18. % 0.20/0.51 generalize (apart3 zenon_TL_r). zenon_intro zenon_H19. % 0.20/0.51 exact (zenon_H19 zenon_H18). % 0.20/0.51 exact (zenon_H16 zenon_H13). % 0.20/0.51 Qed. % 0.20/0.51 % SZS output end Proof % 0.20/0.51 (* END-PROOF *) % 0.20/0.51 nodes searched: 89 % 0.20/0.51 max branch formulas: 98 % 0.20/0.51 proof nodes created: 12 % 0.20/0.51 formulas created: 811 % 0.20/0.51 %------------------------------------------------------------------------------