%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU139+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 15:59:37 EDT 2022 % Result : Theorem 0.18s 0.49s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU139+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n004.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 Jun 19 13:36:38 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.49 Zenon warning: unused variable (B : zenon_U) in irreflexivity_r2_xboole_0 % 0.18/0.49 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski % 0.18/0.49 (* PROOF-FOUND *) % 0.18/0.49 % SZS status Theorem % 0.18/0.49 (* BEGIN-PROOF *) % 0.18/0.49 % SZS output start Proof % 0.18/0.49 Theorem t60_xboole_1 : (forall A : zenon_U, (forall B : zenon_U, (~((subset A B)/\(proper_subset B A))))). % 0.18/0.49 Proof. % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (~((subset A B)/\(proper_subset B A))))) zenon_G); [ zenon_intro zenon_H6; idtac ]. % 0.18/0.49 elim zenon_H6. zenon_intro zenon_TA_h. zenon_intro zenon_H8. % 0.18/0.49 apply (zenon_notallex_s (fun B : zenon_U => (~((subset zenon_TA_h B)/\(proper_subset B zenon_TA_h)))) zenon_H8); [ zenon_intro zenon_H9; idtac ]. % 0.18/0.49 elim zenon_H9. zenon_intro zenon_TB_k. zenon_intro zenon_Hb. % 0.18/0.49 apply zenon_Hb. zenon_intro zenon_Hc. % 0.18/0.49 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.18/0.49 generalize (d8_xboole_0 zenon_TB_k). zenon_intro zenon_Hf. % 0.18/0.49 generalize (zenon_Hf zenon_TA_h). zenon_intro zenon_H10. % 0.18/0.49 apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_H13; zenon_intro zenon_H12 | zenon_intro zenon_Hd; zenon_intro zenon_H11 ]. % 0.18/0.49 exact (zenon_H13 zenon_Hd). % 0.18/0.49 apply (zenon_and_s _ _ zenon_H11). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.18/0.49 generalize (d10_xboole_0 zenon_TB_k). zenon_intro zenon_H16. % 0.18/0.49 generalize (zenon_H16 zenon_TA_h). zenon_intro zenon_H17. % 0.18/0.49 apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_H14; zenon_intro zenon_H1a | zenon_intro zenon_H19; zenon_intro zenon_H18 ]. % 0.18/0.49 apply (zenon_notand_s _ _ zenon_H1a); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.18/0.49 exact (zenon_H1c zenon_H15). % 0.18/0.49 exact (zenon_H1b zenon_He). % 0.18/0.49 exact (zenon_H14 zenon_H19). % 0.18/0.49 Qed. % 0.18/0.49 % SZS output end Proof % 0.18/0.49 (* END-PROOF *) % 0.18/0.49 nodes searched: 76 % 0.18/0.49 max branch formulas: 63 % 0.18/0.49 proof nodes created: 21 % 0.18/0.49 formulas created: 440 % 0.18/0.49 %------------------------------------------------------------------------------