%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO208+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 0.17s 0.48s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : GEO208+1 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.32 % Computer : n028.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Sat Jun 18 11:39:44 EDT 2022 % 0.12/0.32 % CPUTime : % 0.17/0.48 (* PROOF-FOUND *) % 0.17/0.48 % SZS status Theorem % 0.17/0.48 (* BEGIN-PROOF *) % 0.17/0.48 % SZS output start Proof % 0.17/0.48 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)))))). % 0.17/0.48 Proof. % 0.17/0.48 apply NNPP. intro zenon_G. % 0.17/0.48 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_H12; idtac ]. % 0.17/0.48 elim zenon_H12. zenon_intro zenon_TX_t. zenon_intro zenon_H14. % 0.17/0.48 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (((~(apart_point_and_line zenon_TX_t Y))/\((~(apart_point_and_line zenon_TX_t Z))/\(~(convergent_lines Y Z))))->(~(distinct_lines Y Z))))) zenon_H14); [ zenon_intro zenon_H15; idtac ]. % 0.17/0.48 elim zenon_H15. zenon_intro zenon_TY_w. zenon_intro zenon_H17. % 0.17/0.48 apply (zenon_notallex_s (fun Z : zenon_U => (((~(apart_point_and_line zenon_TX_t zenon_TY_w))/\((~(apart_point_and_line zenon_TX_t Z))/\(~(convergent_lines zenon_TY_w Z))))->(~(distinct_lines zenon_TY_w Z)))) zenon_H17); [ zenon_intro zenon_H18; idtac ]. % 0.17/0.48 elim zenon_H18. zenon_intro zenon_TZ_z. zenon_intro zenon_H1a. % 0.17/0.48 apply (zenon_notimply_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 0.17/0.48 apply zenon_H1b. zenon_intro zenon_H1d. % 0.17/0.48 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.17/0.48 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.17/0.48 generalize (cup1 zenon_TX_t). zenon_intro zenon_H22. % 0.17/0.48 generalize (zenon_H22 zenon_TY_w). zenon_intro zenon_H23. % 0.17/0.48 generalize (zenon_H23 zenon_TZ_z). zenon_intro zenon_H24. % 0.17/0.48 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 0.17/0.48 exact (zenon_H26 zenon_H1d). % 0.17/0.48 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.17/0.48 exact (zenon_H1f zenon_H28). % 0.17/0.48 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.17/0.48 exact (zenon_H21 zenon_H2a). % 0.17/0.48 exact (zenon_H20 zenon_H29). % 0.17/0.48 Qed. % 0.17/0.48 % SZS output end Proof % 0.17/0.48 (* END-PROOF *) % 0.17/0.48 nodes searched: 252 % 0.17/0.48 max branch formulas: 214 % 0.17/0.48 proof nodes created: 42 % 0.17/0.48 formulas created: 1589 % 0.17/0.48 %------------------------------------------------------------------------------