%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN060+1 : TPTP v8.1.0. Released v2.0.0. % 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 : Thu Jul 21 13:49:14 EDT 2022 % Result : Theorem 0.19s 0.49s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN060+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n026.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 : Tue Jul 12 06:21:42 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.49 (* PROOF-FOUND *) % 0.19/0.49 % SZS status Theorem % 0.19/0.49 (* BEGIN-PROOF *) % 0.19/0.49 % SZS output start Proof % 0.19/0.49 Theorem pel30 : (forall X : zenon_U, (big_i X)). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 apply (zenon_notallex_s (fun X : zenon_U => (big_i X)) zenon_G); [ zenon_intro zenon_H3; idtac ]. % 0.19/0.49 elim zenon_H3. zenon_intro zenon_TX_e. zenon_intro zenon_H5. % 0.19/0.49 generalize (pel30_2 zenon_TX_e). zenon_intro zenon_H6. % 0.19/0.49 apply (zenon_imply_s _ _ zenon_H6); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ]. % 0.19/0.49 apply (zenon_notimply_s _ _ zenon_H8). zenon_intro zenon_Ha. zenon_intro zenon_H9. % 0.19/0.49 exact (zenon_H9 zenon_H5). % 0.19/0.49 apply (zenon_and_s _ _ zenon_H7). zenon_intro zenon_Hc. zenon_intro zenon_Hb. % 0.19/0.49 generalize (pel30_1 zenon_TX_e). zenon_intro zenon_Hd. % 0.19/0.49 apply (zenon_imply_s _ _ zenon_Hd); [ zenon_intro zenon_Hf | zenon_intro zenon_He ]. % 0.19/0.49 apply (zenon_notor_s _ _ zenon_Hf). zenon_intro zenon_H11. zenon_intro zenon_H10. % 0.19/0.49 exact (zenon_H11 zenon_Hc). % 0.19/0.49 exact (zenon_He zenon_Hb). % 0.19/0.49 Qed. % 0.19/0.49 % SZS output end Proof % 0.19/0.49 (* END-PROOF *) % 0.19/0.49 nodes searched: 28 % 0.19/0.49 max branch formulas: 22 % 0.19/0.49 proof nodes created: 18 % 0.19/0.49 formulas created: 149 % 0.19/0.49 %------------------------------------------------------------------------------