%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Tue May 5 07:08:26 PM UTC 2026 % Result : Theorem 0.29s 0.49s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.12 % Command : run_zenon %s %d % 0.14/0.33 % Computer : n019.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Tue May 5 11:33:14 EDT 2026 % 0.14/0.33 % CPUTime : % 0.29/0.49 (* PROOF-FOUND *) % 0.29/0.49 % SZS status Theorem % 0.29/0.49 (* BEGIN-PROOF *) % 0.29/0.49 % SZS output start Proof % 0.29/0.49 Theorem goal_005 : (exists X : zenon_U, ((x2 X X) = X)). % 0.29/0.49 Proof. % 0.29/0.49 apply NNPP. intro zenon_G. % 0.29/0.49 generalize (axiom_003 (z)). zenon_intro zenon_H5. % 0.29/0.49 apply zenon_G. exists (z). apply NNPP. zenon_intro zenon_H6. % 0.29/0.49 exact (zenon_H6 zenon_H5). % 0.29/0.49 Qed. % 0.29/0.49 % SZS output end Proof % 0.29/0.49 (* END-PROOF *) % 0.29/0.49 nodes searched: 76 % 0.29/0.49 max branch formulas: 41 % 0.29/0.49 proof nodes created: 15 % 0.29/0.49 formulas created: 404 % 0.29/0.49 %------------------------------------------------------------------------------