%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL664+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 01:32:40 PM UTC 2026 % Result : Theorem 0.14s 0.44s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL664+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.10/0.35 % Computer : n009.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Sun Sep 6 01:39:52 UTC 2026 % 0.10/0.35 % CPUTime : % 0.14/0.44 (* PROOF-FOUND *) % 0.14/0.44 % SZS status Theorem % 0.14/0.44 (* BEGIN-PROOF *) % 0.14/0.44 % SZS output start Proof % 0.14/0.44 Theorem main : (~(exists X : zenon_U, (~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p16 Y))))\/((~(forall Y : zenon_U, ((~(r1 X Y))\/(p12 Y))))\/((~(forall Y : zenon_U, ((~(r1 X Y))\/(p14 Y))))\/((~(forall Y : zenon_U, ((~(r1 X Y))\/(p12 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p15 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p13 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p12 Y)))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p11 Y))))))))))))). % 0.14/0.44 Proof. % 0.14/0.44 apply NNPP. intro zenon_G. % 0.14/0.44 apply zenon_G. zenon_intro zenon_H2. % 0.14/0.44 elim zenon_H2. zenon_intro zenon_TX_d. zenon_intro zenon_H4. % 0.14/0.44 apply (zenon_notor_s _ _ zenon_H4). zenon_intro zenon_H6. zenon_intro zenon_H5. % 0.14/0.44 apply (zenon_notor_s _ _ zenon_H5). zenon_intro zenon_H8. zenon_intro zenon_H7. % 0.14/0.44 apply (zenon_notor_s _ _ zenon_H7). zenon_intro zenon_Ha. zenon_intro zenon_H9. % 0.14/0.44 apply (zenon_notor_s _ _ zenon_H9). zenon_intro zenon_H8. zenon_intro zenon_Hb. % 0.14/0.44 apply (zenon_notor_s _ _ zenon_Hb). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.14/0.44 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.14/0.44 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10. % 0.14/0.44 exact (zenon_H8 zenon_H11). % 0.14/0.44 Qed. % 0.14/0.44 % SZS output end Proof % 0.14/0.44 (* END-PROOF *) % 0.14/0.44 nodes searched: 4 % 0.14/0.44 max branch formulas: 10 % 0.14/0.44 proof nodes created: 4 % 0.14/0.44 formulas created: 172 % 0.14/0.44 %------------------------------------------------------------------------------