%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU143+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.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 15:59:39 EDT 2022 % Result : Theorem 0.20s 0.51s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU143+1 : TPTP v8.1.0. Released v3.3.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n023.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 : Mon Jun 20 09:55:03 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.51 (* PROOF-FOUND *) % 0.20/0.51 % SZS status Theorem % 0.20/0.51 (* BEGIN-PROOF *) % 0.20/0.51 % SZS output start Proof % 0.20/0.51 Theorem l1_zfmisc_1 : (forall A : zenon_U, (~((singleton A) = (empty_set)))). % 0.20/0.51 Proof. % 0.20/0.51 assert (zenon_L1_ : (~((empty_set) = (empty_set))) -> False). % 0.20/0.51 do 0 intro. intros zenon_H8. % 0.20/0.51 apply zenon_H8. apply refl_equal. % 0.20/0.51 (* end of lemma zenon_L1_ *) % 0.20/0.51 apply NNPP. intro zenon_G. % 0.20/0.51 apply (zenon_notallex_s (fun A : zenon_U => (~((singleton A) = (empty_set)))) zenon_G); [ zenon_intro zenon_H9; idtac ]. % 0.20/0.51 elim zenon_H9. zenon_intro zenon_TA_k. zenon_intro zenon_Hb. % 0.20/0.51 apply zenon_Hb. zenon_intro zenon_Hc. % 0.20/0.51 generalize (d1_xboole_0 (empty_set)). zenon_intro zenon_Hd. % 0.20/0.51 apply (zenon_equiv_s _ _ zenon_Hd); [ zenon_intro zenon_H8; zenon_intro zenon_H10 | zenon_intro zenon_Hf; zenon_intro zenon_He ]. % 0.20/0.51 apply zenon_H8. apply refl_equal. % 0.20/0.51 generalize (d1_tarski zenon_TA_k). zenon_intro zenon_H11. % 0.20/0.51 generalize (zenon_H11 (empty_set)). zenon_intro zenon_H12. % 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H12); [ zenon_intro zenon_H16; zenon_intro zenon_H15 | zenon_intro zenon_H14; zenon_intro zenon_H13 ]. % 0.20/0.51 apply zenon_H16. apply sym_equal. exact zenon_Hc. % 0.20/0.51 generalize (zenon_H13 zenon_TA_k). zenon_intro zenon_H17. % 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_H1b; zenon_intro zenon_H1a | zenon_intro zenon_H19; zenon_intro zenon_H18 ]. % 0.20/0.51 apply zenon_H1a. apply refl_equal. % 0.20/0.51 generalize (zenon_He zenon_TA_k). zenon_intro zenon_H1b. % 0.20/0.51 exact (zenon_H1b zenon_H19). % 0.20/0.51 Qed. % 0.20/0.51 % SZS output end Proof % 0.20/0.51 (* END-PROOF *) % 0.20/0.51 nodes searched: 396 % 0.20/0.51 max branch formulas: 79 % 0.20/0.51 proof nodes created: 85 % 0.20/0.51 formulas created: 769 % 0.20/0.51 %------------------------------------------------------------------------------