%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU122+1 : TPTP v8.1.0. Released v3.3.0. % 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 15:59:29 EDT 2022 % Result : Theorem 0.19s 0.48s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SEU122+1 : TPTP v8.1.0. Released v3.3.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.32 % Computer : n017.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Mon Jun 20 04:16:44 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.48 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski % 0.19/0.48 (* PROOF-FOUND *) % 0.19/0.48 % SZS status Theorem % 0.19/0.48 (* BEGIN-PROOF *) % 0.19/0.48 % SZS output start Proof % 0.19/0.48 Theorem t2_xboole_1 : (forall A : zenon_U, (subset (empty_set) A)). % 0.19/0.48 Proof. % 0.19/0.48 apply NNPP. intro zenon_G. % 0.19/0.48 apply (zenon_notallex_s (fun A : zenon_U => (subset (empty_set) A)) zenon_G); [ zenon_intro zenon_Hb; idtac ]. % 0.19/0.48 elim zenon_Hb. zenon_intro zenon_TA_m. zenon_intro zenon_Hd. % 0.19/0.48 generalize (d3_tarski (empty_set)). zenon_intro zenon_He. % 0.19/0.48 generalize (zenon_He zenon_TA_m). zenon_intro zenon_Hf. % 0.19/0.48 apply (zenon_equiv_s _ _ zenon_Hf); [ zenon_intro zenon_Hd; zenon_intro zenon_H12 | zenon_intro zenon_H11; zenon_intro zenon_H10 ]. % 0.19/0.48 apply (zenon_notallex_s (fun C : zenon_U => ((in C (empty_set))->(in C zenon_TA_m))) zenon_H12); [ zenon_intro zenon_H13; idtac ]. % 0.19/0.48 elim zenon_H13. zenon_intro zenon_TC_u. zenon_intro zenon_H15. % 0.19/0.48 apply (zenon_notimply_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.19/0.48 generalize (t7_boole zenon_TC_u). zenon_intro zenon_H18. % 0.19/0.48 generalize (zenon_H18 (empty_set)). zenon_intro zenon_H19. % 0.19/0.48 apply (zenon_notand_s _ _ zenon_H19); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ]. % 0.19/0.48 exact (zenon_H1b zenon_H17). % 0.19/0.48 exact (zenon_H1a fc1_xboole_0). % 0.19/0.48 exact (zenon_Hd zenon_H11). % 0.19/0.48 Qed. % 0.19/0.48 % SZS output end Proof % 0.19/0.48 (* END-PROOF *) % 0.19/0.48 nodes searched: 64 % 0.19/0.48 max branch formulas: 58 % 0.19/0.48 proof nodes created: 12 % 0.19/0.48 formulas created: 362 % 0.19/0.48 %------------------------------------------------------------------------------