%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM305+1 : TPTP v8.1.0. Released v3.1.0. % 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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Mon Jul 18 15:54:47 EDT 2022 % Result : Theorem 0.47s 0.72s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : NUM305+1 : TPTP v8.1.0. Released v3.1.0. % 0.10/0.11 % Command : run_zenon %s %d % 0.11/0.32 % Computer : n014.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Thu Jul 7 02:27:07 EDT 2022 % 0.11/0.32 % CPUTime : % 0.47/0.72 (* PROOF-FOUND *) % 0.47/0.72 % SZS status Theorem % 0.47/0.72 (* BEGIN-PROOF *) % 0.47/0.72 % SZS output start Proof % 0.47/0.72 Theorem sum_n2_n3_n5 : (sum (n2) (n3) (n5)). % 0.47/0.72 Proof. % 0.47/0.72 assert (zenon_L1_ : (sum (n2) (n3) (n5)) -> (~(difference (n5) (n2) (n3))) -> False). % 0.47/0.72 do 0 intro. intros zenon_H192 zenon_H193. % 0.47/0.72 generalize (minus_entry_point (n5)). zenon_intro zenon_H194. % 0.47/0.72 generalize (zenon_H194 (n2)). zenon_intro zenon_H195. % 0.47/0.72 generalize (zenon_H195 (n3)). zenon_intro zenon_H196. % 0.47/0.72 apply (zenon_equiv_s _ _ zenon_H196); [ zenon_intro zenon_G; zenon_intro zenon_H193 | zenon_intro zenon_H192; zenon_intro zenon_H197 ]. % 0.47/0.72 exact (zenon_G zenon_H192). % 0.47/0.72 exact (zenon_H193 zenon_H197). % 0.47/0.72 (* end of lemma zenon_L1_ *) % 0.47/0.72 apply NNPP. intro zenon_G. % 0.47/0.72 generalize (minus_entry_point (n5)). zenon_intro zenon_H194. % 0.47/0.72 generalize (zenon_H194 (n2)). zenon_intro zenon_H195. % 0.47/0.72 generalize (zenon_H195 (n3)). zenon_intro zenon_H196. % 0.47/0.72 apply (zenon_equiv_s _ _ zenon_H196); [ zenon_intro zenon_G; zenon_intro zenon_H193 | zenon_intro zenon_H192; zenon_intro zenon_H197 ]. % 0.47/0.72 generalize (sum_entry_point_pos_pos (n2)). zenon_intro zenon_H198. % 0.47/0.72 generalize (zenon_H198 (n3)). zenon_intro zenon_H199. % 0.47/0.72 generalize (zenon_H199 (n5)). zenon_intro zenon_H19a. % 0.47/0.72 generalize (zenon_H19a (rdnn (n2))). zenon_intro zenon_H19b. % 0.47/0.72 generalize (zenon_H19b (rdnn (n3))). zenon_intro zenon_H19c. % 0.47/0.72 generalize (zenon_H19c (rdnn (n5))). zenon_intro zenon_H19d. % 0.47/0.72 apply (zenon_imply_s _ _ zenon_H19d); [ zenon_intro zenon_H19e | zenon_intro zenon_H192 ]. % 0.47/0.72 apply (zenon_notand_s _ _ zenon_H19e); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H19f ]. % 0.47/0.72 exact (zenon_H1a0 rdn2). % 0.47/0.72 apply (zenon_notand_s _ _ zenon_H19f); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a1 ]. % 0.47/0.72 exact (zenon_H1a2 rdn3). % 0.47/0.72 apply (zenon_notand_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ]. % 0.47/0.72 generalize (add_digit_digit_digit (n0)). zenon_intro zenon_H1a5. % 0.47/0.72 generalize (zenon_H1a5 (n2)). zenon_intro zenon_H1a6. % 0.47/0.72 generalize (zenon_H1a6 (n3)). zenon_intro zenon_H1a7. % 0.47/0.72 generalize (zenon_H1a7 (n5)). zenon_intro zenon_H1a8. % 0.47/0.72 generalize (zenon_H1a8 (n5)). zenon_intro zenon_H1a9. % 0.47/0.72 apply (zenon_imply_s _ _ zenon_H1a9); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ]. % 0.47/0.72 apply (zenon_notand_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ]. % 0.47/0.72 exact (zenon_H1ad rdn_digit_add_n2_n3_n5_n0). % 0.47/0.72 exact (zenon_H1ac rdn_digit_add_n5_n0_n5_n0). % 0.47/0.72 exact (zenon_H1a4 zenon_H1aa). % 0.47/0.72 exact (zenon_H1a3 rdn5). % 0.47/0.72 apply (zenon_L1_); trivial. % 0.47/0.72 exact (zenon_G zenon_H192). % 0.47/0.72 Qed. % 0.47/0.72 % SZS output end Proof % 0.47/0.72 (* END-PROOF *) % 0.47/0.72 nodes searched: 4072 % 0.47/0.72 max branch formulas: 2826 % 0.47/0.72 proof nodes created: 132 % 0.47/0.72 formulas created: 62596 % 0.47/0.72 %------------------------------------------------------------------------------