%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM295+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 15:54:44 EDT 2022 % Result : Theorem 3.26s 3.51s % Output : Proof 3.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUM295+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n004.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 : Thu Jul 7 06:04:37 EDT 2022 % 0.13/0.34 % CPUTime : % 3.26/3.51 (* PROOF-FOUND *) % 3.26/3.51 % SZS status Theorem % 3.26/3.51 (* BEGIN-PROOF *) % 3.26/3.51 % SZS output start Proof % 3.26/3.51 Theorem something_less_something : (exists X : zenon_U, (exists Y : zenon_U, (less X Y))). % 3.26/3.51 Proof. % 3.26/3.51 assert (zenon_L1_ : (~(exists X : zenon_U, (exists Y : zenon_U, (less X Y)))) -> (less (nn3) (n9)) -> False). % 3.26/3.51 do 0 intro. intros zenon_G zenon_H192. % 3.26/3.51 apply zenon_G. exists (nn3). apply NNPP. zenon_intro zenon_H193. % 3.26/3.51 apply zenon_H193. exists (n9). apply NNPP. zenon_intro zenon_H194. % 3.26/3.51 exact (zenon_H194 zenon_H192). % 3.26/3.51 (* end of lemma zenon_L1_ *) % 3.26/3.51 apply NNPP. intro zenon_G. % 3.26/3.51 generalize (less_entry_point_neg_pos (nn3)). zenon_intro zenon_H195. % 3.26/3.51 generalize (zenon_H195 (n9)). zenon_intro zenon_H196. % 3.26/3.51 generalize (zenon_H196 (rdnn (n3))). zenon_intro zenon_H197. % 3.26/3.51 generalize (zenon_H197 (rdnn (n9))). zenon_intro zenon_H198. % 3.26/3.51 apply (zenon_imply_s _ _ zenon_H198); [ zenon_intro zenon_H199 | zenon_intro zenon_H192 ]. % 3.26/3.51 apply (zenon_notand_s _ _ zenon_H199); [ zenon_intro zenon_H19b | zenon_intro zenon_H19a ]. % 3.26/3.51 exact (zenon_H19b rdnn3). % 3.26/3.51 exact (zenon_H19a rdn9). % 3.26/3.51 apply (zenon_L1_); trivial. % 3.26/3.51 Qed. % 3.26/3.51 % SZS output end Proof % 3.26/3.51 (* END-PROOF *) % 3.26/3.51 nodes searched: 250497 % 3.26/3.51 max branch formulas: 15383 % 3.26/3.51 proof nodes created: 2717 % 3.26/3.51 formulas created: 737657 % 3.26/3.51 %------------------------------------------------------------------------------