%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET923+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 06:39:39 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 % 0.00/0.13 % Problem : SET923+1 : TPTP v8.1.0. Released v3.2.0. % 0.13/0.13 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n026.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Mon Jul 11 09:31:12 EDT 2022 % 0.13/0.35 % 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 t66_zfmisc_1 : (forall A : zenon_U, (forall B : zenon_U, (~(((set_difference A (singleton B)) = (empty_set))/\((~(A = (empty_set)))/\(~(A = (singleton B)))))))). % 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 => (forall B : zenon_U, (~(((set_difference A (singleton B)) = (empty_set))/\((~(A = (empty_set)))/\(~(A = (singleton B)))))))) zenon_G); [ zenon_intro zenon_H7; idtac ]. % 0.20/0.51 elim zenon_H7. zenon_intro zenon_TA_i. zenon_intro zenon_H9. % 0.20/0.51 apply (zenon_notallex_s (fun B : zenon_U => (~(((set_difference zenon_TA_i (singleton B)) = (empty_set))/\((~(zenon_TA_i = (empty_set)))/\(~(zenon_TA_i = (singleton B))))))) zenon_H9); [ zenon_intro zenon_Ha; idtac ]. % 0.20/0.51 elim zenon_Ha. zenon_intro zenon_TB_l. zenon_intro zenon_Hc. % 0.20/0.51 apply zenon_Hc. zenon_intro zenon_Hd. % 0.20/0.51 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.20/0.51 apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10. % 0.20/0.51 generalize (l4_zfmisc_1 zenon_TA_i). zenon_intro zenon_H12. % 0.20/0.51 generalize (zenon_H12 zenon_TB_l). zenon_intro zenon_H13. % 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H13); [ zenon_intro zenon_H17; zenon_intro zenon_H16 | zenon_intro zenon_H15; zenon_intro zenon_H14 ]. % 0.20/0.51 generalize (t37_xboole_1 zenon_TA_i). zenon_intro zenon_H18. % 0.20/0.51 generalize (zenon_H18 (singleton zenon_TB_l)). zenon_intro zenon_H19. % 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H19); [ zenon_intro zenon_H1a; zenon_intro zenon_H17 | zenon_intro zenon_Hf; zenon_intro zenon_H15 ]. % 0.20/0.51 exact (zenon_H1a zenon_Hf). % 0.20/0.51 exact (zenon_H17 zenon_H15). % 0.20/0.51 apply (zenon_or_s _ _ zenon_H14); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.20/0.51 exact (zenon_H11 zenon_H1c). % 0.20/0.51 exact (zenon_H10 zenon_H1b). % 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: 59 % 0.20/0.51 max branch formulas: 44 % 0.20/0.51 proof nodes created: 13 % 0.20/0.51 formulas created: 328 % 0.20/0.51 %------------------------------------------------------------------------------