%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL455+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n001.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 01:32:18 PM UTC 2026 % Result : Theorem 0.10s 0.45s % Output : Proof 0.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL455+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.10/0.36 % Computer : n001.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 06:35:31 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.45 (* PROOF-FOUND *) % 0.10/0.45 % SZS status Theorem % 0.10/0.45 (* BEGIN-PROOF *) % 0.10/0.45 % SZS output start Proof % 0.10/0.45 Theorem principia_r2 : (r2). % 0.10/0.45 Proof. % 0.10/0.45 apply NNPP. intro zenon_G. % 0.10/0.45 apply (zenon_equiv_s _ _ or_2); [ zenon_intro zenon_H36; zenon_intro zenon_H35 | zenon_intro hilbert_or_2; zenon_intro zenon_H34 ]. % 0.10/0.45 exact (zenon_H36 hilbert_or_2). % 0.10/0.45 apply (zenon_equiv_s _ _ r2); [ zenon_intro zenon_G; zenon_intro zenon_H35 | zenon_intro zenon_H37; zenon_intro zenon_H34 ]. % 0.10/0.45 exact (zenon_H35 zenon_H34). % 0.10/0.45 exact (zenon_G zenon_H37). % 0.10/0.45 Qed. % 0.10/0.45 % SZS output end Proof % 0.10/0.45 (* END-PROOF *) % 0.10/0.45 nodes searched: 21 % 0.10/0.45 max branch formulas: 46 % 0.10/0.45 proof nodes created: 3 % 0.10/0.45 formulas created: 447 % 0.10/0.45 %------------------------------------------------------------------------------