%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL646+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n011.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 01:32:33 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 : LCL646+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : run_zenon %s %d % 0.10/0.37 % Computer : n011.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 11:40:58 UTC 2026 % 0.10/0.37 % 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 main : (~(exists X : zenon_U, (~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p6 Y))))\/((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))\/((~(forall Y : zenon_U, ((~(r1 X Y))\/(p4 Y))))\/((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p5 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p3 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))))). % 0.10/0.44 Proof. % 0.10/0.44 apply NNPP. intro zenon_G. % 0.10/0.44 apply zenon_G. zenon_intro zenon_H1. % 0.10/0.44 elim zenon_H1. zenon_intro zenon_TX_c. zenon_intro zenon_H3. % 0.10/0.44 apply (zenon_notor_s _ _ zenon_H3). zenon_intro zenon_H5. zenon_intro zenon_H4. % 0.10/0.44 apply (zenon_notor_s _ _ zenon_H4). zenon_intro zenon_H7. zenon_intro zenon_H6. % 0.10/0.44 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.10/0.44 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_H7. zenon_intro zenon_Ha. % 0.10/0.44 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hc. zenon_intro zenon_Hb. % 0.10/0.44 apply (zenon_notor_s _ _ zenon_Hb). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.10/0.44 apply (zenon_notor_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.10/0.44 exact (zenon_H7 zenon_H10). % 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: 4 % 0.10/0.44 max branch formulas: 10 % 0.10/0.44 proof nodes created: 4 % 0.10/0.44 formulas created: 170 % 0.10/0.44 %------------------------------------------------------------------------------