%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM586+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n015.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 15:57:05 EDT 2022 % Result : Theorem 35.33s 35.58s % Output : Proof 35.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : NUM586+3 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n015.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jul 7 08:44:19 EDT 2022 % 0.13/0.35 % CPUTime : % 35.33/35.58 (* PROOF-FOUND *) % 35.33/35.58 % SZS status Theorem % 35.33/35.58 (* BEGIN-PROOF *) % 35.33/35.58 % SZS output start Proof % 35.33/35.58 Theorem m__ : (exists W0 : zenon_U, ((((aElementOf0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) (sdtlpdtrp0 (xN) (xi)))/\(forall W1 : zenon_U, ((aElementOf0 W1 (sdtlpdtrp0 (xN) (xi)))->(sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) W1))))->(((aSet0 (sdtmndt0 (sdtlpdtrp0 (xN) (xi)) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))/\(forall W1 : zenon_U, ((aElementOf0 W1 (sdtmndt0 (sdtlpdtrp0 (xN) (xi)) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))<->((aElement0 W1)/\((aElementOf0 W1 (sdtlpdtrp0 (xN) (xi)))/\(~(W1 = (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))))))))->(((((aSet0 W0)/\(forall W1 : zenon_U, ((aElementOf0 W1 W0)->(aElementOf0 W1 (sdtmndt0 (sdtlpdtrp0 (xN) (xi)) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))))))\/(aSubsetOf0 W0 (sdtmndt0 (sdtlpdtrp0 (xN) (xi)) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))))/\((sbrdtbr0 W0) = (xk)))\/(aElementOf0 W0 (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) (xi)) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))) (xk))))))/\((sdtlpdtrp0 (sdtlpdtrp0 (xC) (xi)) W0) = (xx)))). % 35.33/35.58 Proof. % 35.33/35.58 apply NNPP. intro zenon_G. % 35.33/35.58 apply (zenon_and_s _ _ m__4151). zenon_intro zenon_H59. zenon_intro zenon_H58. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 35.33/35.58 apply (zenon_and_s _ _ m__4200_02). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 35.33/35.58 elim zenon_H5d. zenon_intro zenon_TW0_dq. zenon_intro zenon_H5f. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H61. zenon_intro zenon_H60. % 35.33/35.58 apply zenon_G. exists zenon_TW0_dq. apply NNPP. zenon_intro zenon_H62. % 35.33/35.58 apply (zenon_notand_s _ _ zenon_H62); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ]. % 35.33/35.58 apply (zenon_notimply_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H65. % 35.33/35.58 apply (zenon_notimply_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 35.33/35.58 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 35.33/35.58 apply (zenon_notand_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 35.33/35.58 apply (zenon_notor_s _ _ zenon_H6c). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 35.33/35.58 apply (zenon_notand_s _ _ zenon_H6e); [ zenon_intro zenon_H70 | zenon_intro zenon_H6f ]. % 35.33/35.58 generalize (zenon_H5a (xi)). zenon_intro zenon_H71. % 35.33/35.58 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 35.33/35.58 exact (zenon_H73 m__4200). % 35.33/35.58 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 35.33/35.58 generalize (zenon_H7f zenon_TW0_dq). zenon_intro zenon_H80. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H82. zenon_intro zenon_H81. % 35.33/35.58 apply (zenon_imply_s _ _ zenon_H82); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ]. % 35.33/35.58 exact (zenon_H84 zenon_H61). % 35.33/35.58 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H86. zenon_intro zenon_H85. % 35.33/35.58 exact (zenon_H70 zenon_H86). % 35.33/35.58 generalize (zenon_H5a (xi)). zenon_intro zenon_H71. % 35.33/35.58 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 35.33/35.58 exact (zenon_H73 m__4200). % 35.33/35.58 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 35.33/35.58 generalize (zenon_H7f zenon_TW0_dq). zenon_intro zenon_H80. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H82. zenon_intro zenon_H81. % 35.33/35.58 apply (zenon_imply_s _ _ zenon_H82); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ]. % 35.33/35.58 exact (zenon_H84 zenon_H61). % 35.33/35.58 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H86. zenon_intro zenon_H85. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H88. zenon_intro zenon_H87. % 35.33/35.58 exact (zenon_H6f zenon_H88). % 35.33/35.58 generalize (zenon_H5a (xi)). zenon_intro zenon_H71. % 35.33/35.58 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 35.33/35.58 exact (zenon_H73 m__4200). % 35.33/35.58 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 35.33/35.58 generalize (zenon_H7f zenon_TW0_dq). zenon_intro zenon_H80. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H82. zenon_intro zenon_H81. % 35.33/35.58 apply (zenon_imply_s _ _ zenon_H82); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ]. % 35.33/35.58 exact (zenon_H84 zenon_H61). % 35.33/35.58 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H86. zenon_intro zenon_H85. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H88. zenon_intro zenon_H87. % 35.33/35.58 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H8a. zenon_intro zenon_H89. % 35.33/35.58 exact (zenon_H6b zenon_H89). % 35.33/35.58 exact (zenon_H63 zenon_H60). % 35.33/35.58 Qed. % 35.33/35.58 % SZS output end Proof % 35.33/35.58 (* END-PROOF *) % 35.33/35.58 nodes searched: 611451 % 35.33/35.58 max branch formulas: 10514 % 35.33/35.58 proof nodes created: 23987 % 35.33/35.58 formulas created: 1904096 % 35.33/35.58 %------------------------------------------------------------------------------