%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM341+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 15:54:58 EDT 2022 % Result : Theorem 0.18s 0.53s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : NUM341+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.32 % Computer : n029.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jul 7 18:06:59 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.53 (* PROOF-FOUND *) % 0.18/0.53 % SZS status Theorem % 0.18/0.53 (* BEGIN-PROOF *) % 0.18/0.53 % SZS output start Proof % 0.18/0.53 Theorem add_same_as_subtract : (exists X : zenon_U, (exists Y : zenon_U, (exists Z : zenon_U, ((sum X Y Z)<->((difference Z Y X)/\(difference Z X Y)))))). % 0.18/0.53 Proof. % 0.18/0.53 apply NNPP. intro zenon_G. % 0.18/0.53 apply zenon_G. exists (n1). apply NNPP. zenon_intro zenon_H193. % 0.18/0.53 apply zenon_H193. exists (n1). apply NNPP. zenon_intro zenon_H194. % 0.18/0.53 apply zenon_H194. exists zenon_E. apply NNPP. zenon_intro zenon_H195. % 0.18/0.53 apply (zenon_notequiv_s _ _ zenon_H195); [ zenon_intro zenon_H199; zenon_intro zenon_H198 | zenon_intro zenon_H197; zenon_intro zenon_H196 ]. % 0.18/0.53 generalize (minus_entry_point zenon_E). zenon_intro zenon_H19a. % 0.18/0.53 generalize (zenon_H19a (n1)). zenon_intro zenon_H19b. % 0.18/0.53 generalize (zenon_H19b (n1)). zenon_intro zenon_H19c. % 0.18/0.53 apply (zenon_equiv_s _ _ zenon_H19c); [ zenon_intro zenon_H199; zenon_intro zenon_H19e | zenon_intro zenon_H197; zenon_intro zenon_H19d ]. % 0.18/0.53 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19d. zenon_intro zenon_H19d. % 0.18/0.53 exact (zenon_H19e zenon_H19d). % 0.18/0.53 exact (zenon_H199 zenon_H197). % 0.18/0.53 generalize (minus_entry_point zenon_E). zenon_intro zenon_H19a. % 0.18/0.53 generalize (zenon_H19a (n1)). zenon_intro zenon_H19b. % 0.18/0.53 generalize (zenon_H19b (n1)). zenon_intro zenon_H19c. % 0.18/0.53 apply (zenon_equiv_s _ _ zenon_H19c); [ zenon_intro zenon_H199; zenon_intro zenon_H19e | zenon_intro zenon_H197; zenon_intro zenon_H19d ]. % 0.18/0.53 exact (zenon_H199 zenon_H197). % 0.18/0.53 apply (zenon_notand_s _ _ zenon_H196); [ zenon_intro zenon_H19e | zenon_intro zenon_H19e ]. % 0.18/0.53 exact (zenon_H19e zenon_H19d). % 0.18/0.53 exact (zenon_H19e zenon_H19d). % 0.18/0.53 Qed. % 0.18/0.53 % SZS output end Proof % 0.18/0.53 (* END-PROOF *) % 0.18/0.53 nodes searched: 1055 % 0.18/0.53 max branch formulas: 1409 % 0.18/0.53 proof nodes created: 15 % 0.18/0.53 formulas created: 13696 % 0.18/0.53 %------------------------------------------------------------------------------