%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n031.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 01:32:17 PM UTC 2026 % Result : Theorem 0.09s 0.46s % Output : Proof 0.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.04 % Command : run_zenon %s %d % 0.09/0.37 % Computer : n031.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Fri Sep 4 20:43:09 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.46 (* PROOF-FOUND *) % 0.09/0.46 % SZS status Theorem % 0.09/0.46 (* BEGIN-PROOF *) % 0.09/0.46 % SZS output start Proof % 0.09/0.46 Theorem luka_cn1 : (cn1). % 0.09/0.46 Proof. % 0.09/0.46 apply NNPP. intro zenon_G. % 0.09/0.46 apply (zenon_equiv_s _ _ implies_3); [ zenon_intro zenon_H35; zenon_intro zenon_H34 | zenon_intro hilbert_implies_3; zenon_intro zenon_H33 ]. % 0.09/0.46 exact (zenon_H35 hilbert_implies_3). % 0.09/0.46 apply (zenon_equiv_s _ _ cn1); [ zenon_intro zenon_G; zenon_intro zenon_H34 | zenon_intro zenon_H36; zenon_intro zenon_H33 ]. % 0.09/0.46 exact (zenon_H34 zenon_H33). % 0.09/0.46 exact (zenon_G zenon_H36). % 0.09/0.46 Qed. % 0.09/0.46 % SZS output end Proof % 0.09/0.46 (* END-PROOF *) % 0.09/0.46 nodes searched: 23 % 0.09/0.46 max branch formulas: 47 % 0.09/0.46 proof nodes created: 3 % 0.09/0.46 formulas created: 466 % 0.09/0.46 %------------------------------------------------------------------------------