%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM340+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 0.47s 0.66s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM340+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n017.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % 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 : Tue Jul 5 07:08:13 EDT 2022 % 0.13/0.34 % CPUTime : % 0.47/0.66 (* PROOF-FOUND *) % 0.47/0.66 % SZS status Theorem % 0.47/0.66 (* BEGIN-PROOF *) % 0.47/0.66 % SZS output start Proof % 0.47/0.66 Theorem diff_zero_identity : (exists X : zenon_U, (difference X (n0) X)). % 0.47/0.66 Proof. % 0.47/0.66 assert (zenon_L1_ : (sum (n0) (n1) (n1)) -> (~(difference (n1) (n0) (n1))) -> False). % 0.47/0.66 do 0 intro. intros zenon_H192 zenon_H193. % 0.47/0.66 generalize (minus_entry_point (n1)). zenon_intro zenon_H194. % 0.47/0.66 generalize (zenon_H194 (n0)). zenon_intro zenon_H195. % 0.47/0.66 generalize (zenon_H195 (n1)). zenon_intro zenon_H196. % 0.47/0.66 apply (zenon_equiv_s _ _ zenon_H196); [ zenon_intro zenon_H198; zenon_intro zenon_H193 | zenon_intro zenon_H192; zenon_intro zenon_H197 ]. % 0.47/0.66 exact (zenon_H198 zenon_H192). % 0.47/0.66 exact (zenon_H193 zenon_H197). % 0.47/0.66 (* end of lemma zenon_L1_ *) % 0.47/0.66 apply NNPP. intro zenon_G. % 0.47/0.66 apply zenon_G. exists (n1). apply NNPP. zenon_intro zenon_H193. % 0.47/0.66 generalize (sum_entry_point_pos_pos (n0)). zenon_intro zenon_H199. % 0.47/0.66 generalize (zenon_H199 (n1)). zenon_intro zenon_H19a. % 0.47/0.66 generalize (zenon_H19a (n1)). zenon_intro zenon_H19b. % 0.47/0.66 generalize (zenon_H19b (rdnn (n0))). zenon_intro zenon_H19c. % 0.47/0.66 generalize (zenon_H19c (rdnn (n1))). zenon_intro zenon_H19d. % 0.47/0.66 generalize (zenon_H19d (rdnn (n1))). zenon_intro zenon_H19e. % 0.47/0.66 apply (zenon_imply_s _ _ zenon_H19e); [ zenon_intro zenon_H19f | zenon_intro zenon_H192 ]. % 0.47/0.66 apply (zenon_notand_s _ _ zenon_H19f); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a0 ]. % 0.47/0.66 exact (zenon_H1a1 rdn0). % 0.47/0.66 apply (zenon_notand_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ]. % 0.47/0.66 exact (zenon_H1a3 rdn1). % 0.47/0.66 apply (zenon_notand_s _ _ zenon_H1a2); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ]. % 0.47/0.66 generalize (add_digit_digit_digit (n0)). zenon_intro zenon_H1a5. % 0.47/0.66 generalize (zenon_H1a5 (n0)). zenon_intro zenon_H1a6. % 0.47/0.66 generalize (zenon_H1a6 (n1)). zenon_intro zenon_H1a7. % 0.47/0.66 generalize (zenon_H1a7 (n1)). zenon_intro zenon_H1a8. % 0.47/0.66 generalize (zenon_H1a8 (n1)). zenon_intro zenon_H1a9. % 0.47/0.66 apply (zenon_imply_s _ _ zenon_H1a9); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ]. % 0.47/0.66 apply (zenon_notand_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ]. % 0.47/0.66 exact (zenon_H1ad rdn_digit_add_n0_n1_n1_n0). % 0.47/0.66 exact (zenon_H1ac rdn_digit_add_n1_n0_n1_n0). % 0.47/0.66 exact (zenon_H1a4 zenon_H1aa). % 0.47/0.66 exact (zenon_H1a3 rdn1). % 0.47/0.66 apply (zenon_L1_); trivial. % 0.47/0.66 Qed. % 0.47/0.66 % SZS output end Proof % 0.47/0.66 (* END-PROOF *) % 0.47/0.66 nodes searched: 2902 % 0.47/0.66 max branch formulas: 2343 % 0.47/0.66 proof nodes created: 69 % 0.47/0.66 formulas created: 43335 % 0.47/0.66 %------------------------------------------------------------------------------