%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM299+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 15:54:45 EDT 2022 % Result : Theorem 29.38s 29.57s % Output : Proof 29.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.11 % Problem : NUM299+1 : TPTP v8.1.0. Released v3.1.0. % 0.05/0.11 % Command : run_zenon %s %d % 0.11/0.30 % Computer : n028.cluster.edu % 0.11/0.30 % Model : x86_64 x86_64 % 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.30 % Memory : 8042.1875MB % 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.30 % CPULimit : 300 % 0.11/0.30 % WCLimit : 600 % 0.11/0.30 % DateTime : Tue Jul 5 18:27:36 EDT 2022 % 0.11/0.30 % CPUTime : % 29.38/29.57 (* PROOF-FOUND *) % 29.38/29.57 % SZS status Theorem % 29.38/29.57 (* BEGIN-PROOF *) % 29.38/29.57 % SZS output start Proof % 29.38/29.57 Theorem nn2_not_less_nn4 : (~(less (nn2) (nn4))). % 29.38/29.57 Proof. % 29.38/29.57 assert (zenon_L1_ : (forall RDN_Y : zenon_U, (((rdn_translate (nn4) (rdn_neg (rdnn (n4))))/\((rdn_translate (nn2) (rdn_neg RDN_Y))/\(rdn_positive_less RDN_Y (rdnn (n4)))))->(less (nn4) (nn2)))) -> (rdn_positive_less (rdnn (n2)) (rdnn (n4))) -> (~(less (nn4) (nn2))) -> False). % 29.38/29.57 do 0 intro. intros zenon_H192 zenon_H193 zenon_H194. % 29.38/29.57 generalize (zenon_H192 (rdnn (n2))). zenon_intro zenon_H195. % 29.38/29.57 apply (zenon_imply_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 29.38/29.57 apply (zenon_notand_s _ _ zenon_H197); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ]. % 29.38/29.57 exact (zenon_H199 rdnn4). % 29.38/29.57 apply (zenon_notand_s _ _ zenon_H198); [ zenon_intro zenon_H19b | zenon_intro zenon_H19a ]. % 29.38/29.57 exact (zenon_H19b rdnn2). % 29.38/29.57 exact (zenon_H19a zenon_H193). % 29.38/29.57 exact (zenon_H194 zenon_H196). % 29.38/29.57 (* end of lemma zenon_L1_ *) % 29.38/29.57 apply NNPP. intro zenon_G. % 29.38/29.57 apply zenon_G. zenon_intro zenon_H19c. % 29.38/29.57 generalize (less_property (nn4)). zenon_intro zenon_H19d. % 29.38/29.57 generalize (zenon_H19d (nn2)). zenon_intro zenon_H19e. % 29.38/29.57 apply (zenon_equiv_s _ _ zenon_H19e); [ zenon_intro zenon_H194; zenon_intro zenon_H1a0 | zenon_intro zenon_H196; zenon_intro zenon_H19f ]. % 29.38/29.57 generalize (less_entry_point_neg_neg (nn4)). zenon_intro zenon_H1a1. % 29.38/29.57 generalize (zenon_H1a1 (nn2)). zenon_intro zenon_H1a2. % 29.38/29.57 generalize (zenon_H1a2 (rdnn (n4))). zenon_intro zenon_H192. % 29.38/29.57 generalize (rdn_positive_less_transitivity (n2)). zenon_intro zenon_H1a3. % 29.38/29.57 generalize (zenon_H1a3 (n3)). zenon_intro zenon_H1a4. % 29.38/29.57 generalize (zenon_H1a4 (n4)). zenon_intro zenon_H1a5. % 29.38/29.57 apply (zenon_imply_s _ _ zenon_H1a5); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H193 ]. % 29.38/29.57 apply (zenon_notand_s _ _ zenon_H1a6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a7 ]. % 29.38/29.57 exact (zenon_H1a8 rdn_positive_less23). % 29.38/29.57 exact (zenon_H1a7 rdn_positive_less34). % 29.38/29.57 apply (zenon_L1_); trivial. % 29.38/29.57 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1aa. zenon_intro zenon_H1a9. % 29.38/29.57 exact (zenon_H1aa zenon_H19c). % 29.38/29.57 Qed. % 29.38/29.57 % SZS output end Proof % 29.38/29.57 (* END-PROOF *) % 29.38/29.57 nodes searched: 3583862 % 29.38/29.57 max branch formulas: 26259 % 29.38/29.57 proof nodes created: 8573 % 29.38/29.57 formulas created: 782049 % 29.38/29.57 %------------------------------------------------------------------------------