%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWW469+1 : TPTP v8.1.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 : Thu Jul 21 02:21:44 EDT 2022 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWW469+1 : TPTP v8.1.0. Released v5.3.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n019.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 : Sat Jun 4 12:15:55 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 Theorem conj_1 : (forall T : zenon_U, ((is_state T)->(~(forall S : zenon_U, ((is_state S)->(S = T)))))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_equiv_s _ _ fact_0_state__not__singleton__def); [ zenon_intro zenon_H8; zenon_intro zenon_H7 | zenon_intro conj_0; zenon_intro zenon_H6 ]. % 0.19/0.50 exact (zenon_H8 conj_0). % 0.19/0.50 elim zenon_H6. zenon_intro zenon_TS_j. zenon_intro zenon_Ha. % 0.19/0.50 elim zenon_Ha. zenon_intro zenon_TT_l. zenon_intro zenon_Hc. % 0.19/0.50 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.19/0.50 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.19/0.50 apply (zenon_notallex_s (fun T : zenon_U => ((is_state T)->(~(forall S : zenon_U, ((is_state S)->(S = T)))))) zenon_G); [ zenon_intro zenon_H11; idtac ]. % 0.19/0.50 elim zenon_H11. zenon_intro zenon_TT_s. zenon_intro zenon_H13. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.19/0.50 apply zenon_H14. zenon_intro zenon_H16. % 0.19/0.50 generalize (zenon_H16 zenon_TT_l). zenon_intro zenon_H17. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ]. % 0.19/0.50 exact (zenon_H19 zenon_H10). % 0.19/0.50 elim (classic (zenon_TT_l = zenon_TT_l)); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ]. % 0.19/0.50 cut ((zenon_TT_l = zenon_TT_l) = (zenon_TS_j = zenon_TT_l)). % 0.19/0.50 intro zenon_D_pnotp. % 0.19/0.50 apply zenon_Hf. % 0.19/0.50 rewrite <- zenon_D_pnotp. % 0.19/0.50 exact zenon_H1a. % 0.19/0.50 cut ((zenon_TT_l = zenon_TT_l)); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 0.19/0.50 cut ((zenon_TT_l = zenon_TS_j)); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 0.19/0.50 congruence. % 0.19/0.50 cut ((zenon_TT_l = zenon_TT_s) = (zenon_TT_l = zenon_TS_j)). % 0.19/0.50 intro zenon_D_pnotp. % 0.19/0.50 apply zenon_H1c. % 0.19/0.50 rewrite <- zenon_D_pnotp. % 0.19/0.50 exact zenon_H18. % 0.19/0.50 cut ((zenon_TT_s = zenon_TS_j)); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 0.19/0.50 cut ((zenon_TT_l = zenon_TT_l)); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 0.19/0.50 congruence. % 0.19/0.50 apply zenon_H1b. apply refl_equal. % 0.19/0.50 generalize (zenon_H16 zenon_TS_j). zenon_intro zenon_H1e. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ]. % 0.19/0.50 exact (zenon_H20 zenon_He). % 0.19/0.50 apply zenon_H1d. apply sym_equal. exact zenon_H1f. % 0.19/0.50 apply zenon_H1b. apply refl_equal. % 0.19/0.50 apply zenon_H1b. apply refl_equal. % 0.19/0.50 Qed. % 0.19/0.50 % SZS output end Proof % 0.19/0.50 (* END-PROOF *) % 0.19/0.50 nodes searched: 29 % 0.19/0.50 max branch formulas: 28 % 0.19/0.50 proof nodes created: 17 % 0.19/0.50 formulas created: 168 % 0.19/0.50 %------------------------------------------------------------------------------