%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL680+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n014.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 01:32:47 PM UTC 2026 % Result : Theorem 0.13s 0.43s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL680+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : run_zenon %s %d % 0.09/0.36 % Computer : n014.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 300 % 0.13/0.36 % DateTime : Fri Sep 4 23:01:12 UTC 2026 % 0.13/0.36 % CPUTime : % 0.13/0.43 (* PROOF-FOUND *) % 0.13/0.43 % SZS status Theorem % 0.13/0.43 (* BEGIN-PROOF *) % 0.13/0.43 % SZS output start Proof % 0.13/0.43 Theorem main : (~(exists X : zenon_U, (~((~(p1 X))\/(p1 X))))). % 0.13/0.43 Proof. % 0.13/0.43 apply NNPP. intro zenon_G. % 0.13/0.43 apply zenon_G. zenon_intro zenon_H1. % 0.13/0.43 elim zenon_H1. zenon_intro zenon_TX_c. zenon_intro zenon_H3. % 0.13/0.43 apply (zenon_notor_s _ _ zenon_H3). zenon_intro zenon_H5. zenon_intro zenon_H4. % 0.13/0.43 exact (zenon_H5 zenon_H4). % 0.13/0.43 Qed. % 0.13/0.43 % SZS output end Proof % 0.13/0.43 (* END-PROOF *) % 0.13/0.43 nodes searched: 5 % 0.13/0.43 max branch formulas: 6 % 0.13/0.43 proof nodes created: 5 % 0.13/0.43 formulas created: 62 % 0.13/0.43 %------------------------------------------------------------------------------