%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL506+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 01:32:21 PM UTC 2026 % Result : Theorem 0.13s 0.44s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL506+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.09/0.35 % Computer : n004.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Fri Sep 4 22:27:29 UTC 2026 % 0.09/0.35 % CPUTime : % 0.13/0.44 (* PROOF-FOUND *) % 0.13/0.44 % SZS status Theorem % 0.13/0.44 (* BEGIN-PROOF *) % 0.13/0.44 % SZS output start Proof % 0.13/0.44 Theorem hilbert_and_1 : (and_1). % 0.13/0.44 Proof. % 0.13/0.44 apply NNPP. intro zenon_G. % 0.13/0.44 apply (zenon_equiv_s _ _ kn2); [ zenon_intro zenon_H2a; zenon_intro zenon_H29 | zenon_intro rosser_kn2; zenon_intro zenon_H28 ]. % 0.13/0.44 exact (zenon_H2a rosser_kn2). % 0.13/0.44 apply (zenon_equiv_s _ _ and_1); [ zenon_intro zenon_G; zenon_intro zenon_H29 | zenon_intro zenon_H2b; zenon_intro zenon_H28 ]. % 0.13/0.44 exact (zenon_H29 zenon_H28). % 0.13/0.44 exact (zenon_G zenon_H2b). % 0.13/0.44 Qed. % 0.13/0.44 % SZS output end Proof % 0.13/0.44 (* END-PROOF *) % 0.13/0.44 nodes searched: 11 % 0.13/0.44 max branch formulas: 24 % 0.13/0.44 proof nodes created: 3 % 0.13/0.44 formulas created: 363 % 0.13/0.44 %------------------------------------------------------------------------------