%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL684+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 01:32:48 PM UTC 2026 % Result : Theorem 0.22s 0.54s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : LCL684+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.06 % Command : run_zenon %s %d % 0.15/0.42 % Computer : n019.cluster.edu % 0.15/0.42 % Model : x86_64 x86_64 % 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.42 % Memory : 8046.5625MB % 0.15/0.42 % OS : Linux 6.8.0-71-generic % 0.15/0.42 % CPULimit : 300 % 0.15/0.42 % WCLimit : 300 % 0.15/0.42 % DateTime : Sat Sep 5 16:33:53 UTC 2026 % 0.15/0.42 % CPUTime : % 0.22/0.54 (* PROOF-FOUND *) % 0.22/0.54 % SZS status Theorem % 0.22/0.54 (* BEGIN-PROOF *) % 0.22/0.54 % SZS output start Proof % 0.22/0.54 Theorem main : (~(exists X : zenon_U, (~((~(forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(~((p201 X)/\(p101 X))))))))\/(~((p201 X)/\(p101 X))))))). % 0.22/0.54 Proof. % 0.22/0.54 apply NNPP. intro zenon_G. % 0.22/0.54 apply zenon_G. zenon_intro zenon_H3. % 0.22/0.54 elim zenon_H3. zenon_intro zenon_TX_e. zenon_intro zenon_H5. % 0.22/0.54 apply (zenon_notor_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6. % 0.22/0.54 apply zenon_H6. zenon_intro zenon_H8. % 0.22/0.54 apply (zenon_and_s _ _ zenon_H8). zenon_intro zenon_Ha. zenon_intro zenon_H9. % 0.22/0.54 apply zenon_H7. zenon_intro zenon_Hb. % 0.22/0.54 generalize (zenon_Hb zenon_TX_e). zenon_intro zenon_Hc. % 0.22/0.54 apply (zenon_or_s _ _ zenon_Hc); [ zenon_intro zenon_He | zenon_intro zenon_Hd ]. % 0.22/0.54 generalize (reflexivity zenon_TX_e). zenon_intro zenon_Hf. % 0.22/0.54 exact (zenon_He zenon_Hf). % 0.22/0.54 generalize (zenon_Hd zenon_TX_e). zenon_intro zenon_H10. % 0.22/0.54 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_He | zenon_intro zenon_H11 ]. % 0.22/0.54 generalize (reflexivity zenon_TX_e). zenon_intro zenon_Hf. % 0.22/0.54 exact (zenon_He zenon_Hf). % 0.22/0.54 apply (zenon_notand_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ]. % 0.22/0.54 exact (zenon_H13 zenon_Ha). % 0.22/0.54 exact (zenon_H12 zenon_H9). % 0.22/0.54 Qed. % 0.22/0.54 % SZS output end Proof % 0.22/0.54 (* END-PROOF *) % 0.22/0.54 nodes searched: 23 % 0.22/0.54 max branch formulas: 21 % 0.22/0.54 proof nodes created: 12 % 0.22/0.54 formulas created: 164 % 0.22/0.54 %------------------------------------------------------------------------------