%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET046+1 : TPTP v8.1.0. Released v2.0.0. % 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 : Tue Jul 19 06:33:05 EDT 2022 % Result : Theorem 0.16s 0.45s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SET046+1 : TPTP v8.1.0. Released v2.0.0. % 0.00/0.12 % Command : run_zenon %s %d % 0.11/0.31 % Computer : n017.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 600 % 0.11/0.31 % DateTime : Sat Jul 9 17:47:17 EDT 2022 % 0.16/0.31 % CPUTime : % 0.16/0.45 (* PROOF-FOUND *) % 0.16/0.45 % SZS status Theorem % 0.16/0.45 (* BEGIN-PROOF *) % 0.16/0.45 % SZS output start Proof % 0.16/0.45 Theorem pel42 : (~(exists Y : zenon_U, (forall X : zenon_U, ((element X Y)<->(~(exists Z : zenon_U, ((element X Z)/\(element Z X)))))))). % 0.16/0.45 Proof. % 0.16/0.45 apply NNPP. intro zenon_G. % 0.16/0.45 apply zenon_G. zenon_intro zenon_H1. % 0.16/0.45 elim zenon_H1. zenon_intro zenon_TY_c. zenon_intro zenon_H3. % 0.16/0.45 generalize (zenon_H3 zenon_TY_c). zenon_intro zenon_H4. % 0.16/0.45 apply (zenon_equiv_s _ _ zenon_H4); [ zenon_intro zenon_H8; zenon_intro zenon_H7 | zenon_intro zenon_H6; zenon_intro zenon_H5 ]. % 0.16/0.45 apply zenon_H7. zenon_intro zenon_H9. % 0.16/0.45 elim zenon_H9. zenon_intro zenon_TZ_k. zenon_intro zenon_Hb. % 0.16/0.45 apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.16/0.45 generalize (zenon_H3 zenon_TZ_k). zenon_intro zenon_He. % 0.16/0.45 apply (zenon_equiv_s _ _ zenon_He); [ zenon_intro zenon_H11; zenon_intro zenon_H10 | zenon_intro zenon_Hc; zenon_intro zenon_Hf ]. % 0.16/0.45 exact (zenon_H11 zenon_Hc). % 0.16/0.45 apply zenon_Hf. exists zenon_TY_c. apply NNPP. zenon_intro zenon_H12. % 0.16/0.45 apply (zenon_notand_s _ _ zenon_H12); [ zenon_intro zenon_H11 | zenon_intro zenon_H13 ]. % 0.16/0.45 exact (zenon_H11 zenon_Hc). % 0.16/0.45 exact (zenon_H13 zenon_Hd). % 0.16/0.45 apply zenon_H5. exists zenon_TY_c. apply NNPP. zenon_intro zenon_H14. % 0.16/0.45 apply (zenon_notand_s _ _ zenon_H14); [ zenon_intro zenon_H8 | zenon_intro zenon_H8 ]. % 0.16/0.45 exact (zenon_H8 zenon_H6). % 0.16/0.45 exact (zenon_H8 zenon_H6). % 0.16/0.45 Qed. % 0.16/0.45 % SZS output end Proof % 0.16/0.45 (* END-PROOF *) % 0.16/0.45 nodes searched: 37 % 0.16/0.45 max branch formulas: 24 % 0.16/0.45 proof nodes created: 21 % 0.16/0.45 formulas created: 198 % 0.16/0.45 %------------------------------------------------------------------------------