%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM330+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n011.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 15:54:55 EDT 2022 % Result : Theorem 0.73s 0.92s % Output : Proof 0.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : NUM330+1 : TPTP v8.1.0. Released v3.1.0. % 0.00/0.10 % Command : run_zenon %s %d % 0.10/0.30 % Computer : n011.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 600 % 0.10/0.30 % DateTime : Thu Jul 7 18:49:54 EDT 2022 % 0.10/0.30 % CPUTime : % 0.73/0.92 (* PROOF-FOUND *) % 0.73/0.92 % SZS status Theorem % 0.73/0.92 (* BEGIN-PROOF *) % 0.73/0.92 % SZS output start Proof % 0.73/0.92 Theorem sum_n4_n4_n8 : (exists X : zenon_U, (exists Y : zenon_U, ((sum X Y (n8))/\((X = (n4))/\(Y = (n4)))))). % 0.73/0.92 Proof. % 0.73/0.92 assert (zenon_L1_ : (sum (n4) (n4) (n8)) -> (~(difference (n8) (n4) (n4))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H192 zenon_H193. % 0.73/0.92 generalize (minus_entry_point (n8)). zenon_intro zenon_H194. % 0.73/0.92 generalize (zenon_H194 (n4)). zenon_intro zenon_H195. % 0.73/0.92 generalize (zenon_H195 (n4)). zenon_intro zenon_H196. % 0.73/0.92 apply (zenon_equiv_s _ _ zenon_H196); [ zenon_intro zenon_H198; zenon_intro zenon_H193 | zenon_intro zenon_H192; zenon_intro zenon_H197 ]. % 0.73/0.92 exact (zenon_H198 zenon_H192). % 0.73/0.92 exact (zenon_H193 zenon_H197). % 0.73/0.92 (* end of lemma zenon_L1_ *) % 0.73/0.92 assert (zenon_L2_ : (~((n4) = (n4))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H199. % 0.73/0.92 apply zenon_H199. apply refl_equal. % 0.73/0.92 (* end of lemma zenon_L2_ *) % 0.73/0.92 apply NNPP. intro zenon_G. % 0.73/0.92 apply zenon_G. exists (n4). apply NNPP. zenon_intro zenon_H19a. % 0.73/0.92 apply zenon_H19a. exists (n4). apply NNPP. zenon_intro zenon_H19b. % 0.73/0.92 apply (zenon_notand_s _ _ zenon_H19b); [ zenon_intro zenon_H198 | zenon_intro zenon_H19c ]. % 0.73/0.92 generalize (minus_entry_point (n8)). zenon_intro zenon_H194. % 0.73/0.92 generalize (zenon_H194 (n4)). zenon_intro zenon_H195. % 0.73/0.92 generalize (zenon_H195 (n4)). zenon_intro zenon_H196. % 0.73/0.92 apply (zenon_equiv_s _ _ zenon_H196); [ zenon_intro zenon_H198; zenon_intro zenon_H193 | zenon_intro zenon_H192; zenon_intro zenon_H197 ]. % 0.73/0.92 generalize (sum_entry_point_pos_pos (n4)). zenon_intro zenon_H19d. % 0.73/0.92 generalize (zenon_H19d (n4)). zenon_intro zenon_H19e. % 0.73/0.92 generalize (zenon_H19e (n8)). zenon_intro zenon_H19f. % 0.73/0.92 generalize (zenon_H19f (rdnn (n4))). zenon_intro zenon_H1a0. % 0.73/0.92 generalize (zenon_H1a0 (rdnn (n4))). zenon_intro zenon_H1a1. % 0.73/0.92 generalize (zenon_H1a1 (rdnn (n8))). zenon_intro zenon_H1a2. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1a2); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H192 ]. % 0.73/0.92 apply (zenon_notand_s _ _ zenon_H1a3); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a4 ]. % 0.73/0.92 exact (zenon_H1a5 rdn4). % 0.73/0.92 apply (zenon_notand_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a6 ]. % 0.73/0.92 exact (zenon_H1a5 rdn4). % 0.73/0.92 apply (zenon_notand_s _ _ zenon_H1a6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a7 ]. % 0.73/0.92 generalize (add_digit_digit_digit (n0)). zenon_intro zenon_H1a9. % 0.73/0.92 generalize (zenon_H1a9 (n4)). zenon_intro zenon_H1aa. % 0.73/0.92 generalize (zenon_H1aa (n4)). zenon_intro zenon_H1ab. % 0.73/0.92 generalize (zenon_H1ab (n8)). zenon_intro zenon_H1ac. % 0.73/0.92 generalize (zenon_H1ac (n8)). zenon_intro zenon_H1ad. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1ad); [ zenon_intro zenon_H1af | zenon_intro zenon_H1ae ]. % 0.73/0.92 apply (zenon_notand_s _ _ zenon_H1af); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1b0 ]. % 0.73/0.92 exact (zenon_H1b1 rdn_digit_add_n4_n4_n8_n0). % 0.73/0.92 exact (zenon_H1b0 rdn_digit_add_n8_n0_n8_n0). % 0.73/0.92 exact (zenon_H1a8 zenon_H1ae). % 0.73/0.92 exact (zenon_H1a7 rdn8). % 0.73/0.92 apply (zenon_L1_); trivial. % 0.73/0.92 exact (zenon_H198 zenon_H192). % 0.73/0.92 apply (zenon_notand_s _ _ zenon_H19c); [ zenon_intro zenon_H199 | zenon_intro zenon_H199 ]. % 0.73/0.92 apply zenon_H199. apply refl_equal. % 0.73/0.92 apply zenon_H199. apply refl_equal. % 0.73/0.92 Qed. % 0.73/0.92 % SZS output end Proof % 0.73/0.92 (* END-PROOF *) % 0.73/0.92 nodes searched: 10053 % 0.73/0.92 max branch formulas: 6703 % 0.73/0.92 proof nodes created: 182 % 0.73/0.92 formulas created: 113577 % 0.73/0.92 %------------------------------------------------------------------------------