%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL666+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 01:32:41 PM UTC 2026 % Result : Theorem 0.12s 0.40s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL666+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.09/0.34 % Computer : n020.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.34 % CPULimit : 300 % 0.09/0.34 % WCLimit : 300 % 0.09/0.34 % DateTime : Sat Sep 5 21:19:27 UTC 2026 % 0.09/0.35 % CPUTime : % 0.12/0.40 (* PROOF-FOUND *) % 0.12/0.40 % SZS status Theorem % 0.12/0.40 (* BEGIN-PROOF *) % 0.12/0.40 % SZS output start Proof % 0.12/0.40 Theorem main : (~(exists X : zenon_U, (~((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p201 Y)/\(p101 Y))))))\/(~((p201 X)/\(p101 X))))))). % 0.12/0.40 Proof. % 0.12/0.40 apply NNPP. intro zenon_G. % 0.12/0.40 apply zenon_G. zenon_intro zenon_H2. % 0.12/0.40 elim zenon_H2. zenon_intro zenon_TX_d. zenon_intro zenon_H4. % 0.12/0.40 apply (zenon_notor_s _ _ zenon_H4). zenon_intro zenon_H6. zenon_intro zenon_H5. % 0.12/0.40 apply zenon_H5. zenon_intro zenon_H7. % 0.12/0.40 apply (zenon_and_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.12/0.40 apply zenon_H6. zenon_intro zenon_Ha. % 0.12/0.40 generalize (zenon_Ha zenon_TX_d). zenon_intro zenon_Hb. % 0.12/0.40 apply (zenon_or_s _ _ zenon_Hb); [ zenon_intro zenon_Hd | zenon_intro zenon_Hc ]. % 0.12/0.40 generalize (reflexivity zenon_TX_d). zenon_intro zenon_He. % 0.12/0.40 exact (zenon_Hd zenon_He). % 0.12/0.40 apply (zenon_notand_s _ _ zenon_Hc); [ zenon_intro zenon_H10 | zenon_intro zenon_Hf ]. % 0.12/0.40 exact (zenon_H10 zenon_H9). % 0.12/0.40 exact (zenon_Hf zenon_H8). % 0.12/0.40 Qed. % 0.12/0.40 % SZS output end Proof % 0.12/0.40 (* END-PROOF *) % 0.12/0.40 nodes searched: 11 % 0.12/0.40 max branch formulas: 11 % 0.12/0.40 proof nodes created: 8 % 0.12/0.40 formulas created: 110 % 0.12/0.40 %------------------------------------------------------------------------------