%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM343+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 : 600s % DateTime : Mon Jul 18 15:54:59 EDT 2022 % Result : Theorem 0.20s 0.55s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM343+1 : TPTP v8.1.0. Released v3.1.0. % 0.13/0.13 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n004.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jul 6 06:41:22 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.55 (* PROOF-FOUND *) % 0.20/0.55 % SZS status Theorem % 0.20/0.55 (* BEGIN-PROOF *) % 0.20/0.55 % SZS output start Proof % 0.20/0.55 Theorem sum_something_n0_samething : (exists X : zenon_U, (((less (nn1) X)/\(less X (n1)))->(sum (n21) X (n21)))). % 0.20/0.55 Proof. % 0.20/0.55 apply NNPP. intro zenon_G. % 0.20/0.55 generalize (less_property (n1)). zenon_intro zenon_H192. % 0.20/0.55 generalize (zenon_H192 (n1)). zenon_intro zenon_H193. % 0.20/0.55 apply (zenon_equiv_s _ _ zenon_H193); [ zenon_intro zenon_H197; zenon_intro zenon_H196 | zenon_intro zenon_H195; zenon_intro zenon_H194 ]. % 0.20/0.55 apply zenon_G. exists (n1). apply NNPP. zenon_intro zenon_H198. % 0.20/0.55 apply (zenon_notimply_s _ _ zenon_H198). zenon_intro zenon_H19a. zenon_intro zenon_H199. % 0.20/0.55 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19b. zenon_intro zenon_H195. % 0.20/0.55 exact (zenon_H197 zenon_H195). % 0.20/0.55 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H19c. % 0.20/0.55 exact (zenon_H197 zenon_H195). % 0.20/0.55 Qed. % 0.20/0.55 % SZS output end Proof % 0.20/0.55 (* END-PROOF *) % 0.20/0.55 nodes searched: 977 % 0.20/0.55 max branch formulas: 1375 % 0.20/0.55 proof nodes created: 9 % 0.20/0.55 formulas created: 12959 % 0.20/0.55 %------------------------------------------------------------------------------