%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM318+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 15:54:51 EDT 2022 % Result : Theorem 0.45s 0.64s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM318+1 : TPTP v8.1.0. Released v3.1.0. % 0.06/0.13 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n029.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Thu Jul 7 07:02:14 EDT 2022 % 0.13/0.34 % CPUTime : % 0.45/0.64 (* PROOF-FOUND *) % 0.45/0.64 % SZS status Theorem % 0.45/0.64 (* BEGIN-PROOF *) % 0.45/0.64 % SZS output start Proof % 0.45/0.64 Theorem sum_n5_nn5_n0 : (sum (n5) (nn5) (n0)). % 0.45/0.64 Proof. % 0.45/0.64 assert (zenon_L1_ : (sum (n5) (nn5) (n0)) -> (~(difference (n0) (n5) (nn5))) -> False). % 0.45/0.64 do 0 intro. intros zenon_H192 zenon_H193. % 0.45/0.64 generalize (minus_entry_point (n0)). zenon_intro zenon_H194. % 0.45/0.64 generalize (zenon_H194 (n5)). zenon_intro zenon_H195. % 0.45/0.64 generalize (zenon_H195 (nn5)). zenon_intro zenon_H196. % 0.45/0.64 apply (zenon_equiv_s _ _ zenon_H196); [ zenon_intro zenon_G; zenon_intro zenon_H193 | zenon_intro zenon_H192; zenon_intro zenon_H197 ]. % 0.45/0.64 exact (zenon_G zenon_H192). % 0.45/0.64 exact (zenon_H193 zenon_H197). % 0.45/0.64 (* end of lemma zenon_L1_ *) % 0.45/0.64 apply NNPP. intro zenon_G. % 0.45/0.64 generalize (minus_entry_point (n0)). zenon_intro zenon_H194. % 0.45/0.64 generalize (zenon_H194 (n5)). zenon_intro zenon_H195. % 0.45/0.64 generalize (zenon_H195 (nn5)). zenon_intro zenon_H196. % 0.45/0.64 apply (zenon_equiv_s _ _ zenon_H196); [ zenon_intro zenon_G; zenon_intro zenon_H193 | zenon_intro zenon_H192; zenon_intro zenon_H197 ]. % 0.45/0.64 generalize (sum_entry_point_posx_negx (n5)). zenon_intro zenon_H198. % 0.45/0.64 generalize (zenon_H198 (nn5)). zenon_intro zenon_H199. % 0.45/0.64 generalize (zenon_H199 (rdnn (n5))). zenon_intro zenon_H19a. % 0.45/0.64 apply (zenon_imply_s _ _ zenon_H19a); [ zenon_intro zenon_H19b | zenon_intro zenon_H192 ]. % 0.45/0.64 apply (zenon_notand_s _ _ zenon_H19b); [ zenon_intro zenon_H19d | zenon_intro zenon_H19c ]. % 0.45/0.64 exact (zenon_H19d rdn5). % 0.45/0.64 exact (zenon_H19c rdnn5). % 0.45/0.64 apply (zenon_L1_); trivial. % 0.45/0.64 exact (zenon_G zenon_H192). % 0.45/0.64 Qed. % 0.45/0.64 % SZS output end Proof % 0.45/0.64 (* END-PROOF *) % 0.45/0.64 nodes searched: 3141 % 0.45/0.64 max branch formulas: 2427 % 0.45/0.64 proof nodes created: 82 % 0.45/0.64 formulas created: 37037 % 0.45/0.64 %------------------------------------------------------------------------------