%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM531+2 : TPTP v8.1.0. Released v4.0.0. % 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 : Mon Jul 18 15:56:33 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 % 0.06/0.12 % Problem : NUM531+2 : TPTP v8.1.0. Released v4.0.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n004.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Thu Jul 7 04:11:52 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 m__ : (forall W0 : zenon_U, (((aSet0 W0)/\(isCountable0 W0))->(~((~(exists W1 : zenon_U, (aElementOf0 W1 W0)))/\(W0 = (slcrc0)))))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_notallex_s (fun W0 : zenon_U => (((aSet0 W0)/\(isCountable0 W0))->(~((~(exists W1 : zenon_U, (aElementOf0 W1 W0)))/\(W0 = (slcrc0)))))) zenon_G); [ zenon_intro zenon_H9; idtac ]. % 0.19/0.50 elim zenon_H9. zenon_intro zenon_TW0_k. zenon_intro zenon_Hb. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_Hb). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.19/0.50 apply zenon_Hc. zenon_intro zenon_He. % 0.19/0.50 apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.19/0.50 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H12. zenon_intro zenon_H11. % 0.19/0.50 generalize (mCountNFin zenon_TW0_k). zenon_intro zenon_H13. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ]. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ]. % 0.19/0.50 exact (zenon_H17 zenon_H12). % 0.19/0.50 exact (zenon_H16 zenon_H11). % 0.19/0.50 cut ((isFinite0 (slcrc0)) = (isFinite0 zenon_TW0_k)). % 0.19/0.50 intro zenon_D_pnotp. % 0.19/0.50 apply zenon_H14. % 0.19/0.50 rewrite <- zenon_D_pnotp. % 0.19/0.50 exact mEmpFin. % 0.19/0.50 cut (((slcrc0) = zenon_TW0_k)); [idtac | apply NNPP; zenon_intro zenon_H18]. % 0.19/0.50 congruence. % 0.19/0.50 apply zenon_H18. apply sym_equal. exact zenon_Hf. % 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: 84 % 0.19/0.50 max branch formulas: 48 % 0.19/0.50 proof nodes created: 22 % 0.19/0.50 formulas created: 306 % 0.19/0.50 %------------------------------------------------------------------------------