%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO216+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n014.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 0.21s 0.52s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : GEO216+1 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.14 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n014.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 : Fri Jun 17 17:33:34 EDT 2022 % 0.13/0.35 % CPUTime : % 0.21/0.52 (* PROOF-FOUND *) % 0.21/0.52 % SZS status Theorem % 0.21/0.52 (* BEGIN-PROOF *) % 0.21/0.52 % SZS output start Proof % 0.21/0.52 Theorem con : (forall L : zenon_U, (~(~(unorthogonal_lines L L)))). % 0.21/0.52 Proof. % 0.21/0.52 apply NNPP. intro zenon_G. % 0.21/0.52 apply (zenon_notallex_s (fun L : zenon_U => (~(~(unorthogonal_lines L L)))) zenon_G); [ zenon_intro zenon_H12; idtac ]. % 0.21/0.52 elim zenon_H12. zenon_intro zenon_TL_t. zenon_intro zenon_H14. % 0.21/0.52 apply zenon_H14. zenon_intro zenon_H15. % 0.21/0.52 generalize (coipo1 zenon_TL_t). zenon_intro zenon_H16. % 0.21/0.52 generalize (zenon_H16 zenon_TL_t). zenon_intro zenon_H17. % 0.21/0.52 apply (zenon_notand_s _ _ zenon_H17); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ]. % 0.21/0.52 apply zenon_H19. zenon_intro zenon_H1a. % 0.21/0.52 generalize (apart3 zenon_TL_t). zenon_intro zenon_H1b. % 0.21/0.52 exact (zenon_H1b zenon_H1a). % 0.21/0.52 exact (zenon_H18 zenon_H15). % 0.21/0.52 Qed. % 0.21/0.52 % SZS output end Proof % 0.21/0.52 (* END-PROOF *) % 0.21/0.52 nodes searched: 90 % 0.21/0.52 max branch formulas: 101 % 0.21/0.52 proof nodes created: 12 % 0.21/0.52 formulas created: 772 % 0.21/0.52 %------------------------------------------------------------------------------