%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL230+1 : TPTP v9.3.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n010.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 01:31:56 PM UTC 2026 % Result : Theorem 0.10s 0.44s % Output : Proof 0.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL230+1 : TPTP v9.3.1. Released v2.0.0. % 0.00/0.04 % Command : run_zenon %s %d % 0.10/0.36 % Computer : n010.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 12:58:08 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.44 (* PROOF-FOUND *) % 0.10/0.44 % SZS status Theorem % 0.10/0.44 (* BEGIN-PROOF *) % 0.10/0.44 % SZS output start Proof % 0.10/0.44 Theorem pel5 : ((((p)\/(q))->((p)\/(r)))->((p)\/((q)->(r)))). % 0.10/0.44 Proof. % 0.10/0.44 apply NNPP. intro zenon_G. % 0.10/0.44 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.10/0.44 apply (zenon_notor_s _ _ zenon_H1). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.10/0.44 apply (zenon_notimply_s _ _ zenon_H3). zenon_intro zenon_H6. zenon_intro zenon_H5. % 0.10/0.44 apply (zenon_imply_s _ _ zenon_H2); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ]. % 0.10/0.44 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_H4. zenon_intro zenon_H9. % 0.10/0.44 exact (zenon_H9 zenon_H6). % 0.10/0.44 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha ]. % 0.10/0.44 exact (zenon_H4 zenon_Hb). % 0.10/0.44 exact (zenon_H5 zenon_Ha). % 0.10/0.44 Qed. % 0.10/0.44 % SZS output end Proof % 0.10/0.44 (* END-PROOF *) % 0.10/0.44 nodes searched: 6 % 0.10/0.44 max branch formulas: 7 % 0.10/0.44 proof nodes created: 6 % 0.10/0.44 formulas created: 66 % 0.10/0.44 %------------------------------------------------------------------------------