%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU123+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 15:59:29 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 % 0.08/0.13 % Problem : SEU123+1 : TPTP v8.1.0. Released v3.3.0. % 0.08/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n023.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Mon Jun 20 05:59:18 EDT 2022 % 0.14/0.35 % CPUTime : % 0.20/0.51 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski % 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 t3_xboole_1 : (forall A : zenon_U, ((subset A (empty_set))->(A = (empty_set)))). % 0.20/0.51 Proof. % 0.20/0.51 apply NNPP. intro zenon_G. % 0.20/0.51 apply (zenon_notallex_s (fun A : zenon_U => ((subset A (empty_set))->(A = (empty_set)))) zenon_G); [ zenon_intro zenon_Hc; idtac ]. % 0.20/0.51 elim zenon_Hc. zenon_intro zenon_TA_n. zenon_intro zenon_He. % 0.20/0.51 apply (zenon_notimply_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.20/0.51 generalize (d10_xboole_0 (empty_set)). zenon_intro zenon_H11. % 0.20/0.51 generalize (zenon_H11 zenon_TA_n). 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_notand_s _ _ zenon_H15); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.20/0.51 generalize (t2_xboole_1 zenon_TA_n). zenon_intro zenon_H19. % 0.20/0.51 exact (zenon_H18 zenon_H19). % 0.20/0.51 exact (zenon_H17 zenon_H10). % 0.20/0.51 apply zenon_Hf. apply sym_equal. exact zenon_H14. % 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: 56 % 0.20/0.51 max branch formulas: 57 % 0.20/0.51 proof nodes created: 10 % 0.20/0.51 formulas created: 406 % 0.20/0.51 %------------------------------------------------------------------------------