%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : PHI014+1 : TPTP v8.1.0. Released v7.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n032.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 0.15s 0.42s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.10 % Problem : PHI014+1 : TPTP v8.1.0. Released v7.2.0. % 0.08/0.11 % Command : run_zenon %s %d % 0.11/0.30 % Computer : n032.cluster.edu % 0.11/0.30 % Model : x86_64 x86_64 % 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.30 % Memory : 8042.1875MB % 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.30 % CPULimit : 300 % 0.11/0.30 % WCLimit : 600 % 0.11/0.30 % DateTime : Thu Jun 2 01:16:30 EDT 2022 % 0.11/0.30 % CPUTime : % 0.15/0.42 (* PROOF-FOUND *) % 0.15/0.42 % SZS status Theorem % 0.15/0.42 (* BEGIN-PROOF *) % 0.15/0.42 % SZS output start Proof % 0.15/0.42 Theorem god_exists : (exemplifies_property (existence) (god)). % 0.15/0.42 Proof. % 0.15/0.42 assert (zenon_L1_ : (~(object (god))) -> False). % 0.15/0.42 do 0 intro. intros zenon_H6. % 0.15/0.42 generalize (description_is_property_and_described_is_object (god)). zenon_intro zenon_H7. % 0.15/0.42 generalize (zenon_H7 (none_greater)). zenon_intro zenon_H8. % 0.15/0.42 apply (zenon_imply_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ]. % 0.15/0.42 exact (zenon_Ha definition_god). % 0.15/0.42 apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb. % 0.15/0.42 exact (zenon_H6 zenon_Hb). % 0.15/0.42 (* end of lemma zenon_L1_ *) % 0.15/0.42 assert (zenon_L2_ : (object (god)) -> (~(exemplifies_property (existence) (god))) -> (exemplifies_property (none_greater) (god)) -> False). % 0.15/0.42 do 0 intro. intros zenon_Hb zenon_G zenon_Hd. % 0.15/0.42 generalize (definition_none_greater (god)). zenon_intro zenon_He. % 0.15/0.42 apply (zenon_imply_s _ _ zenon_He); [ zenon_intro zenon_H6 | zenon_intro zenon_Hf ]. % 0.15/0.42 exact (zenon_H6 zenon_Hb). % 0.15/0.42 apply (zenon_equiv_s _ _ zenon_Hf); [ zenon_intro zenon_H12; zenon_intro zenon_H11 | zenon_intro zenon_Hd; zenon_intro zenon_H10 ]. % 0.15/0.42 exact (zenon_H12 zenon_Hd). % 0.15/0.42 apply (zenon_and_s _ _ zenon_H10). zenon_intro zenon_H14. zenon_intro zenon_H13. % 0.15/0.42 generalize (premise_2 (god)). zenon_intro zenon_H15. % 0.15/0.42 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_H6 | zenon_intro zenon_H16 ]. % 0.15/0.42 exact (zenon_H6 zenon_Hb). % 0.15/0.42 apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.15/0.42 apply (zenon_notand_s _ _ zenon_H18); [ zenon_intro zenon_Ha | zenon_intro zenon_H19 ]. % 0.15/0.42 exact (zenon_Ha definition_god). % 0.15/0.42 exact (zenon_H19 zenon_G). % 0.15/0.42 exact (zenon_H13 zenon_H17). % 0.15/0.42 (* end of lemma zenon_L2_ *) % 0.15/0.42 apply NNPP. intro zenon_G. % 0.15/0.42 generalize (description_theorem_2 (none_greater)). zenon_intro zenon_H1a. % 0.15/0.42 apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.15/0.42 generalize (description_is_property_and_described_is_object (god)). zenon_intro zenon_H7. % 0.15/0.42 generalize (zenon_H7 (none_greater)). zenon_intro zenon_H8. % 0.15/0.42 apply (zenon_imply_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ]. % 0.15/0.42 exact (zenon_Ha definition_god). % 0.15/0.42 apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb. % 0.15/0.42 exact (zenon_H1c zenon_Hc). % 0.15/0.42 apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.15/0.42 apply zenon_H1e. exists (god). apply NNPP. zenon_intro zenon_H1f. % 0.15/0.42 apply (zenon_notand_s _ _ zenon_H1f); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.15/0.42 apply (zenon_L1_); trivial. % 0.15/0.42 exact (zenon_Ha definition_god). % 0.15/0.42 generalize (zenon_H1d (god)). zenon_intro zenon_H20. % 0.15/0.42 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H6 | zenon_intro zenon_H21 ]. % 0.15/0.42 apply (zenon_L1_); trivial. % 0.15/0.42 apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_Ha | zenon_intro zenon_Hd ]. % 0.15/0.42 exact (zenon_Ha definition_god). % 0.15/0.42 generalize (description_is_property_and_described_is_object (god)). zenon_intro zenon_H7. % 0.15/0.42 generalize (zenon_H7 (none_greater)). zenon_intro zenon_H8. % 0.15/0.42 apply (zenon_imply_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ]. % 0.15/0.42 exact (zenon_Ha definition_god). % 0.15/0.42 apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb. % 0.15/0.42 apply (zenon_L2_); trivial. % 0.15/0.42 Qed. % 0.15/0.42 % SZS output end Proof % 0.15/0.42 (* END-PROOF *) % 0.15/0.42 nodes searched: 169 % 0.15/0.42 max branch formulas: 111 % 0.15/0.42 proof nodes created: 60 % 0.15/0.42 formulas created: 718 % 0.15/0.42 %------------------------------------------------------------------------------