%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : PHI013+1 : TPTP v8.1.0. Released v7.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 0.19s 0.55s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.12 % Problem : PHI013+1 : TPTP v8.1.0. Released v7.2.0. % 0.05/0.12 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n017.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Thu Jun 2 00:24:12 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.55 (* PROOF-FOUND *) % 0.19/0.55 % SZS status Theorem % 0.19/0.55 (* BEGIN-PROOF *) % 0.19/0.55 % SZS output start Proof % 0.19/0.55 Theorem god_exists : (exemplifies_property (existence) (god)). % 0.19/0.55 Proof. % 0.19/0.55 assert (zenon_L1_ : (~(object (god))) -> False). % 0.19/0.55 do 0 intro. intros zenon_H9. % 0.19/0.55 generalize (description_is_property_and_described_is_object (god)). zenon_intro zenon_Ha. % 0.19/0.55 generalize (zenon_Ha (none_greater)). zenon_intro zenon_Hb. % 0.19/0.55 apply (zenon_imply_s _ _ zenon_Hb); [ zenon_intro zenon_Hd | zenon_intro zenon_Hc ]. % 0.19/0.55 exact (zenon_Hd definition_god). % 0.19/0.55 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.19/0.55 exact (zenon_H9 zenon_He). % 0.19/0.55 (* end of lemma zenon_L1_ *) % 0.19/0.55 assert (zenon_L2_ : (forall Z : zenon_U, ((object Z)->((is_the Z (none_greater))->(exemplifies_property (none_greater) Z)))) -> (~(exemplifies_property (none_greater) (god))) -> False). % 0.19/0.55 do 0 intro. intros zenon_H10 zenon_H11. % 0.19/0.55 generalize (zenon_H10 (god)). zenon_intro zenon_H12. % 0.19/0.55 apply (zenon_imply_s _ _ zenon_H12); [ zenon_intro zenon_H9 | zenon_intro zenon_H13 ]. % 0.19/0.55 apply (zenon_L1_); trivial. % 0.19/0.55 apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_Hd | zenon_intro zenon_H14 ]. % 0.19/0.55 exact (zenon_Hd definition_god). % 0.19/0.55 exact (zenon_H11 zenon_H14). % 0.19/0.55 (* end of lemma zenon_L2_ *) % 0.19/0.55 apply NNPP. intro zenon_G. % 0.19/0.55 generalize (description_theorem_2 (none_greater)). zenon_intro zenon_H15. % 0.19/0.55 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ]. % 0.19/0.55 generalize (description_is_property_and_described_is_object (god)). zenon_intro zenon_Ha. % 0.19/0.55 generalize (zenon_Ha (none_greater)). zenon_intro zenon_Hb. % 0.19/0.55 apply (zenon_imply_s _ _ zenon_Hb); [ zenon_intro zenon_Hd | zenon_intro zenon_Hc ]. % 0.19/0.55 exact (zenon_Hd definition_god). % 0.19/0.55 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.19/0.55 exact (zenon_H17 zenon_Hf). % 0.19/0.55 apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H10 ]. % 0.19/0.55 apply zenon_H18. exists (god). apply NNPP. zenon_intro zenon_H19. % 0.19/0.55 apply (zenon_notand_s _ _ zenon_H19); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd ]. % 0.19/0.55 apply (zenon_L1_); trivial. % 0.19/0.55 exact (zenon_Hd definition_god). % 0.19/0.55 generalize (definition_none_greater (god)). zenon_intro zenon_H1a. % 0.19/0.55 apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b ]. % 0.19/0.55 apply (zenon_L1_); trivial. % 0.19/0.55 apply (zenon_equiv_s _ _ zenon_H1b); [ zenon_intro zenon_H11; zenon_intro zenon_H1d | zenon_intro zenon_H14; zenon_intro zenon_H1c ]. % 0.19/0.55 apply (zenon_L2_); trivial. % 0.19/0.55 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.19/0.55 generalize (premise_2 (god)). zenon_intro zenon_H20. % 0.19/0.55 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H9 | zenon_intro zenon_H21 ]. % 0.19/0.55 apply (zenon_L1_); trivial. % 0.19/0.55 apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 0.19/0.55 apply (zenon_notand_s _ _ zenon_H23); [ zenon_intro zenon_Hd | zenon_intro zenon_H24 ]. % 0.19/0.55 exact (zenon_Hd definition_god). % 0.19/0.55 exact (zenon_H24 zenon_G). % 0.19/0.55 exact (zenon_H1e zenon_H22). % 0.19/0.55 Qed. % 0.19/0.55 % SZS output end Proof % 0.19/0.55 (* END-PROOF *) % 0.19/0.55 nodes searched: 1491 % 0.19/0.55 max branch formulas: 522 % 0.19/0.55 proof nodes created: 264 % 0.19/0.55 formulas created: 4162 % 0.19/0.55 %------------------------------------------------------------------------------