%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN061+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 13:49:15 EDT 2022 % Result : Theorem 0.18s 0.48s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SYN061+1 : TPTP v8.1.0. Released v2.0.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n020.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 : Mon Jul 11 19:14:12 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.48 (* PROOF-FOUND *) % 0.18/0.48 % SZS status Theorem % 0.18/0.48 (* BEGIN-PROOF *) % 0.18/0.48 % SZS output start Proof % 0.18/0.48 Theorem pel31 : (exists X : zenon_U, ((big_i X)/\(big_j X))). % 0.18/0.48 Proof. % 0.18/0.48 apply NNPP. intro zenon_G. % 0.18/0.48 elim pel31_2. zenon_intro zenon_TX_e. zenon_intro zenon_H5. % 0.18/0.48 apply (zenon_and_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6. % 0.18/0.48 generalize (pel31_3 zenon_TX_e). zenon_intro zenon_H8. % 0.18/0.48 apply (zenon_imply_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ]. % 0.18/0.48 apply zenon_Ha. zenon_intro zenon_Hb. % 0.18/0.48 apply pel31_1. exists zenon_TX_e. apply NNPP. zenon_intro zenon_Hc. % 0.18/0.48 apply (zenon_notand_s _ _ zenon_Hc); [ zenon_intro zenon_He | zenon_intro zenon_Hd ]. % 0.18/0.48 exact (zenon_He zenon_H6). % 0.18/0.48 apply (zenon_notor_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.18/0.48 exact (zenon_Hf zenon_Hb). % 0.18/0.48 apply zenon_G. exists zenon_TX_e. apply NNPP. zenon_intro zenon_H11. % 0.18/0.48 apply (zenon_notand_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ]. % 0.18/0.48 exact (zenon_H13 zenon_H7). % 0.18/0.48 exact (zenon_H12 zenon_H9). % 0.18/0.48 Qed. % 0.18/0.48 % SZS output end Proof % 0.18/0.48 (* END-PROOF *) % 0.18/0.48 nodes searched: 28 % 0.18/0.48 max branch formulas: 27 % 0.18/0.48 proof nodes created: 15 % 0.18/0.48 formulas created: 163 % 0.18/0.48 %------------------------------------------------------------------------------