%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : PHI011+1 : TPTP v8.1.0. Released v7.2.0. % 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 : Mon Jul 18 16:50:14 EDT 2022 % Result : Theorem 0.18s 0.50s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : PHI011+1 : TPTP v8.1.0. Released v7.2.0. % 0.06/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n028.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jun 2 01:01:53 EDT 2022 % 0.13/0.34 % CPUTime : % 0.18/0.50 (* PROOF-FOUND *) % 0.18/0.50 % SZS status Theorem % 0.18/0.50 (* BEGIN-PROOF *) % 0.18/0.50 % SZS output start Proof % 0.18/0.50 Theorem description_theorem_2 : (forall F : zenon_U, ((property F)->((exists Y : zenon_U, ((object Y)/\(is_the Y F)))->(forall Z : zenon_U, ((object Z)->((is_the Z F)->(exemplifies_property F Z))))))). % 0.18/0.50 Proof. % 0.18/0.50 apply NNPP. intro zenon_G. % 0.18/0.50 apply (zenon_notallex_s (fun F : zenon_U => ((property F)->((exists Y : zenon_U, ((object Y)/\(is_the Y F)))->(forall Z : zenon_U, ((object Z)->((is_the Z F)->(exemplifies_property F Z))))))) zenon_G); [ zenon_intro zenon_H5; idtac ]. % 0.18/0.50 elim zenon_H5. zenon_intro zenon_TF_g. zenon_intro zenon_H7. % 0.18/0.50 apply (zenon_notimply_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.18/0.50 apply (zenon_notimply_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.18/0.50 apply (zenon_notallex_s (fun Z : zenon_U => ((object Z)->((is_the Z zenon_TF_g)->(exemplifies_property zenon_TF_g Z)))) zenon_Ha); [ zenon_intro zenon_Hc; idtac ]. % 0.18/0.50 elim zenon_Hc. zenon_intro zenon_TZ_n. zenon_intro zenon_He. % 0.18/0.50 apply (zenon_notimply_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.18/0.50 apply (zenon_notimply_s _ _ zenon_Hf). zenon_intro zenon_H12. zenon_intro zenon_H11. % 0.18/0.50 generalize (lemma_1 zenon_TZ_n). zenon_intro zenon_H13. % 0.18/0.50 generalize (zenon_H13 zenon_TF_g). zenon_intro zenon_H14. % 0.18/0.50 generalize (zenon_H14 zenon_TZ_n). zenon_intro zenon_H15. % 0.18/0.50 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ]. % 0.18/0.50 apply (zenon_notand_s _ _ zenon_H17); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ]. % 0.18/0.50 exact (zenon_H19 zenon_H10). % 0.18/0.50 apply (zenon_notand_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.18/0.50 exact (zenon_H1a zenon_H9). % 0.18/0.50 exact (zenon_H19 zenon_H10). % 0.18/0.50 apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.18/0.50 apply (zenon_notand_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.18/0.50 exact (zenon_H1e zenon_H12). % 0.18/0.50 apply zenon_H1d. apply refl_equal. % 0.18/0.50 exact (zenon_H11 zenon_H1b). % 0.18/0.50 Qed. % 0.18/0.50 % SZS output end Proof % 0.18/0.50 (* END-PROOF *) % 0.18/0.50 nodes searched: 88 % 0.18/0.50 max branch formulas: 85 % 0.18/0.50 proof nodes created: 23 % 0.18/0.50 formulas created: 666 % 0.18/0.50 %------------------------------------------------------------------------------