%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT115+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n012.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 : Tue Sep 8 06:24:30 AM UTC 2026 % Result : Theorem 0.06s 0.33s % Output : Proof 0.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : MGT115+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.01 % Command : run_zenon %s %d % 0.03/0.29 % Computer : n012.cluster.edu % 0.03/0.29 % Model : x86_64 x86_64 % 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/0.29 % Memory : 8046.5625MB % 0.03/0.29 % OS : Linux 6.8.0-71-generic % 0.03/0.29 % CPULimit : 300 % 0.03/0.29 % WCLimit : 300 % 0.03/0.29 % DateTime : Mon Sep 7 14:08:41 UTC 2026 % 0.03/0.29 % CPUTime : % 0.06/0.33 (* PROOF-FOUND *) % 0.06/0.33 % SZS status Theorem % 0.06/0.33 (* BEGIN-PROOF *) % 0.06/0.33 % SZS output start Proof % 0.06/0.33 Theorem conjecture : (~((issue (pi1)) = (issue (pi2)))). % 0.06/0.33 Proof. % 0.06/0.33 apply NNPP. intro zenon_G. % 0.06/0.33 apply zenon_G. zenon_intro zenon_H5. % 0.06/0.33 generalize (issue_injective (pi2)). zenon_intro zenon_H6. % 0.06/0.33 generalize (zenon_H6 (pi1)). zenon_intro zenon_H7. % 0.06/0.33 apply (zenon_imply_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.06/0.33 apply zenon_H9. apply sym_equal. exact zenon_H5. % 0.06/0.33 apply pi1_neq_pi2. apply sym_equal. exact zenon_H8. % 0.06/0.33 Qed. % 0.06/0.33 % SZS output end Proof % 0.06/0.33 (* END-PROOF *) % 0.06/0.33 nodes searched: 68 % 0.06/0.33 max branch formulas: 35 % 0.06/0.33 proof nodes created: 9 % 0.06/0.33 formulas created: 218 % 0.06/0.33 %------------------------------------------------------------------------------