%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL465+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 01:32:19 PM UTC 2026 % Result : Theorem 0.10s 0.41s % Output : Proof 0.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL465+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.06/0.32 % Computer : n006.cluster.edu % 0.06/0.32 % Model : x86_64 x86_64 % 0.06/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.32 % Memory : 8046.5625MB % 0.06/0.32 % OS : Linux 6.8.0-71-generic % 0.06/0.32 % CPULimit : 300 % 0.06/0.32 % WCLimit : 300 % 0.06/0.32 % DateTime : Fri Sep 4 21:20:46 UTC 2026 % 0.06/0.33 % CPUTime : % 0.10/0.41 (* PROOF-FOUND *) % 0.10/0.41 % SZS status Theorem % 0.10/0.41 (* BEGIN-PROOF *) % 0.10/0.41 % SZS output start Proof % 0.10/0.41 Theorem hilbert_implies_3 : (implies_3). % 0.10/0.41 Proof. % 0.10/0.41 apply NNPP. intro zenon_G. % 0.10/0.41 apply (zenon_equiv_s _ _ cn1); [ zenon_intro zenon_H2b; zenon_intro zenon_H2a | zenon_intro luka_cn1; zenon_intro zenon_H29 ]. % 0.10/0.41 exact (zenon_H2b luka_cn1). % 0.10/0.41 apply (zenon_equiv_s _ _ implies_3); [ zenon_intro zenon_G; zenon_intro zenon_H2a | zenon_intro zenon_H2c; zenon_intro zenon_H29 ]. % 0.10/0.41 exact (zenon_H2a zenon_H29). % 0.10/0.41 exact (zenon_G zenon_H2c). % 0.10/0.41 Qed. % 0.10/0.41 % SZS output end Proof % 0.10/0.41 (* END-PROOF *) % 0.10/0.41 nodes searched: 13 % 0.10/0.41 max branch formulas: 27 % 0.10/0.41 proof nodes created: 3 % 0.10/0.41 formulas created: 382 % 0.10/0.41 %------------------------------------------------------------------------------