%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET926+1 : TPTP v8.1.0. Released v3.2.0. % 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 : Tue Jul 19 06:39:41 EDT 2022 % Result : Theorem 0.19s 0.49s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET926+1 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jul 10 09:58:12 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.49 (* PROOF-FOUND *) % 0.19/0.49 % SZS status Theorem % 0.19/0.49 (* BEGIN-PROOF *) % 0.19/0.49 % SZS output start Proof % 0.19/0.49 Theorem t69_zfmisc_1 : (forall A : zenon_U, (forall B : zenon_U, (((set_difference (singleton A) B) = (empty_set))\/((set_difference (singleton A) B) = (singleton A))))). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (((set_difference (singleton A) B) = (empty_set))\/((set_difference (singleton A) B) = (singleton A))))) zenon_G); [ zenon_intro zenon_H7; idtac ]. % 0.19/0.49 elim zenon_H7. zenon_intro zenon_TA_i. zenon_intro zenon_H9. % 0.19/0.49 apply (zenon_notallex_s (fun B : zenon_U => (((set_difference (singleton zenon_TA_i) B) = (empty_set))\/((set_difference (singleton zenon_TA_i) B) = (singleton zenon_TA_i)))) zenon_H9); [ zenon_intro zenon_Ha; idtac ]. % 0.19/0.49 elim zenon_Ha. zenon_intro zenon_TB_l. zenon_intro zenon_Hc. % 0.19/0.49 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.19/0.49 generalize (l34_zfmisc_1 zenon_TA_i). zenon_intro zenon_Hf. % 0.19/0.49 generalize (zenon_Hf zenon_TB_l). zenon_intro zenon_H10. % 0.19/0.49 apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_Hd; zenon_intro zenon_H13 | zenon_intro zenon_H12; zenon_intro zenon_H11 ]. % 0.19/0.49 apply zenon_H13. zenon_intro zenon_H14. % 0.19/0.49 generalize (l36_zfmisc_1 zenon_TA_i). zenon_intro zenon_H15. % 0.19/0.49 generalize (zenon_H15 zenon_TB_l). zenon_intro zenon_H16. % 0.19/0.49 apply (zenon_equiv_s _ _ zenon_H16); [ zenon_intro zenon_He; zenon_intro zenon_H11 | zenon_intro zenon_H17; zenon_intro zenon_H14 ]. % 0.19/0.49 exact (zenon_H11 zenon_H14). % 0.19/0.49 exact (zenon_He zenon_H17). % 0.19/0.49 exact (zenon_Hd zenon_H12). % 0.19/0.49 Qed. % 0.19/0.49 % SZS output end Proof % 0.19/0.49 (* END-PROOF *) % 0.19/0.49 nodes searched: 52 % 0.19/0.49 max branch formulas: 41 % 0.19/0.49 proof nodes created: 14 % 0.19/0.49 formulas created: 292 % 0.19/0.49 %------------------------------------------------------------------------------