%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM334+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n007.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 15:54:56 EDT 2022 % Result : Theorem 0.54s 0.70s % Output : Proof 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : NUM334+1 : TPTP v8.1.0. Released v3.1.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n007.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Wed Jul 6 16:56:13 EDT 2022 % 0.13/0.35 % CPUTime : % 0.54/0.70 (* PROOF-FOUND *) % 0.54/0.70 % SZS status Theorem % 0.54/0.70 (* BEGIN-PROOF *) % 0.54/0.70 % SZS output start Proof % 0.54/0.70 Theorem diff_n7_n5_n2 : (difference (n7) (n5) (n2)). % 0.54/0.70 Proof. % 0.54/0.70 assert (zenon_L1_ : (sum (n5) (n2) (n7)) -> (~(difference (n7) (n5) (n2))) -> False). % 0.54/0.70 do 0 intro. intros zenon_H192 zenon_G. % 0.54/0.70 generalize (minus_entry_point (n7)). zenon_intro zenon_H193. % 0.54/0.70 generalize (zenon_H193 (n5)). zenon_intro zenon_H194. % 0.54/0.70 generalize (zenon_H194 (n2)). zenon_intro zenon_H195. % 0.54/0.70 apply (zenon_equiv_s _ _ zenon_H195); [ zenon_intro zenon_H197; zenon_intro zenon_G | zenon_intro zenon_H192; zenon_intro zenon_H196 ]. % 0.54/0.70 exact (zenon_H197 zenon_H192). % 0.54/0.70 exact (zenon_G zenon_H196). % 0.54/0.70 (* end of lemma zenon_L1_ *) % 0.54/0.70 apply NNPP. intro zenon_G. % 0.54/0.70 generalize (sum_entry_point_pos_pos (n5)). zenon_intro zenon_H198. % 0.54/0.70 generalize (zenon_H198 (n2)). zenon_intro zenon_H199. % 0.54/0.70 generalize (zenon_H199 (n7)). zenon_intro zenon_H19a. % 0.54/0.70 generalize (zenon_H19a (rdnn (n5))). zenon_intro zenon_H19b. % 0.54/0.70 generalize (zenon_H19b (rdnn (n2))). zenon_intro zenon_H19c. % 0.54/0.70 generalize (zenon_H19c (rdnn (n7))). zenon_intro zenon_H19d. % 0.54/0.70 apply (zenon_imply_s _ _ zenon_H19d); [ zenon_intro zenon_H19e | zenon_intro zenon_H192 ]. % 0.54/0.70 apply (zenon_notand_s _ _ zenon_H19e); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H19f ]. % 0.54/0.70 exact (zenon_H1a0 rdn5). % 0.54/0.70 apply (zenon_notand_s _ _ zenon_H19f); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a1 ]. % 0.54/0.70 exact (zenon_H1a2 rdn2). % 0.54/0.70 apply (zenon_notand_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ]. % 0.54/0.70 generalize (add_digit_digit_digit (n0)). zenon_intro zenon_H1a5. % 0.54/0.70 generalize (zenon_H1a5 (n5)). zenon_intro zenon_H1a6. % 0.54/0.70 generalize (zenon_H1a6 (n2)). zenon_intro zenon_H1a7. % 0.54/0.70 generalize (zenon_H1a7 (n7)). zenon_intro zenon_H1a8. % 0.54/0.70 generalize (zenon_H1a8 (n7)). zenon_intro zenon_H1a9. % 0.54/0.70 apply (zenon_imply_s _ _ zenon_H1a9); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ]. % 0.54/0.70 apply (zenon_notand_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ]. % 0.54/0.70 exact (zenon_H1ad rdn_digit_add_n5_n2_n7_n0). % 0.54/0.70 exact (zenon_H1ac rdn_digit_add_n7_n0_n7_n0). % 0.54/0.70 exact (zenon_H1a4 zenon_H1aa). % 0.54/0.70 exact (zenon_H1a3 rdn7). % 0.54/0.70 apply (zenon_L1_); trivial. % 0.54/0.70 Qed. % 0.54/0.70 % SZS output end Proof % 0.54/0.70 (* END-PROOF *) % 0.54/0.70 nodes searched: 4119 % 0.54/0.70 max branch formulas: 2841 % 0.54/0.70 proof nodes created: 140 % 0.54/0.70 formulas created: 59248 % 0.54/0.70 %------------------------------------------------------------------------------