%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n003.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 01:32:46 PM UTC 2026 % Result : Theorem 0.12s 0.45s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.12/0.36 % Computer : n003.cluster.edu % 0.12/0.36 % Model : x86_64 x86_64 % 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.36 % Memory : 8046.5625MB % 0.12/0.36 % OS : Linux 6.8.0-71-generic % 0.12/0.36 % CPULimit : 300 % 0.12/0.36 % WCLimit : 300 % 0.12/0.36 % DateTime : Sat Sep 5 23:57:51 UTC 2026 % 0.12/0.36 % CPUTime : % 0.12/0.45 (* PROOF-FOUND *) % 0.12/0.45 % SZS status Theorem % 0.12/0.45 (* BEGIN-PROOF *) % 0.12/0.45 % SZS output start Proof % 0.12/0.45 Theorem main : (~(exists X : zenon_U, (~(False\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(False\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))))))))))). % 0.12/0.45 Proof. % 0.12/0.45 apply NNPP. intro zenon_G. % 0.12/0.45 apply zenon_G. zenon_intro zenon_H3. % 0.12/0.45 elim zenon_H3. zenon_intro zenon_TX_e. zenon_intro zenon_H5. % 0.12/0.45 apply (zenon_notor_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6. % 0.12/0.45 apply zenon_H6. zenon_intro zenon_H8. % 0.12/0.45 generalize (zenon_H8 zenon_TX_e). zenon_intro zenon_H9. % 0.12/0.45 apply (zenon_or_s _ _ zenon_H9); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha ]. % 0.12/0.45 generalize (reflexivity zenon_TX_e). zenon_intro zenon_Hc. % 0.12/0.45 exact (zenon_Hb zenon_Hc). % 0.12/0.45 apply (zenon_or_s _ _ zenon_Ha); [ zenon_intro zenon_He | zenon_intro zenon_Hd ]. % 0.12/0.45 exact zenon_He. % 0.12/0.45 apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TX_e X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))) zenon_Hd); [ zenon_intro zenon_Hf; idtac ]. % 0.12/0.45 elim zenon_Hf. zenon_intro zenon_TX_q. zenon_intro zenon_H11. % 0.12/0.45 apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.12/0.45 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.12/0.45 exact (zenon_H14 zenon_H15). % 0.12/0.45 Qed. % 0.12/0.45 % SZS output end Proof % 0.12/0.45 (* END-PROOF *) % 0.12/0.45 nodes searched: 25 % 0.12/0.45 max branch formulas: 20 % 0.12/0.45 proof nodes created: 14 % 0.12/0.45 formulas created: 207 % 0.12/0.45 %------------------------------------------------------------------------------