%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL491+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n014.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 01:32:20 PM UTC 2026 % Result : Theorem 0.10s 0.39s % Output : Proof 0.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL491+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.07/0.34 % Computer : n014.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Fri Sep 4 14:09:57 UTC 2026 % 0.07/0.34 % CPUTime : % 0.10/0.39 (* PROOF-FOUND *) % 0.10/0.39 % SZS status Theorem % 0.10/0.39 (* BEGIN-PROOF *) % 0.10/0.39 % SZS output start Proof % 0.10/0.39 Theorem hilbert_or_2 : (or_2). % 0.10/0.39 Proof. % 0.10/0.39 apply NNPP. intro zenon_G. % 0.10/0.39 apply (zenon_equiv_s _ _ r2); [ zenon_intro zenon_H2e; zenon_intro zenon_H2d | zenon_intro principia_r2; zenon_intro zenon_H2c ]. % 0.10/0.39 exact (zenon_H2e principia_r2). % 0.10/0.39 apply (zenon_equiv_s _ _ or_2); [ zenon_intro zenon_G; zenon_intro zenon_H2d | zenon_intro zenon_H2f; zenon_intro zenon_H2c ]. % 0.10/0.39 exact (zenon_H2d zenon_H2c). % 0.10/0.39 exact (zenon_G zenon_H2f). % 0.10/0.39 Qed. % 0.10/0.39 % SZS output end Proof % 0.10/0.39 (* END-PROOF *) % 0.10/0.39 nodes searched: 13 % 0.10/0.39 max branch formulas: 30 % 0.10/0.39 proof nodes created: 3 % 0.10/0.39 formulas created: 379 % 0.10/0.39 %------------------------------------------------------------------------------