%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : COM016+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 : Fri Jul 15 01:53:00 EDT 2022 % Result : Theorem 2.14s 2.32s % Output : Proof 2.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM016+1 : TPTP v8.1.0. Released v4.0.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n009.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 Jun 16 19:12:38 EDT 2022 % 0.13/0.33 % CPUTime : % 2.14/2.32 (* PROOF-FOUND *) % 2.14/2.32 % SZS status Theorem % 2.14/2.32 (* BEGIN-PROOF *) % 2.14/2.32 % SZS output start Proof % 2.14/2.32 Theorem m__ : (exists W0 : zenon_U, ((aElement0 W0)/\((aReductOfIn0 W0 (xa) (xR))/\(sdtmndtasgtdt0 W0 (xR) (xb))))). % 2.14/2.32 Proof. % 2.14/2.32 assert (zenon_L1_ : (~((xb) = (xb))) -> False). % 2.14/2.32 do 0 intro. intros zenon_H14. % 2.14/2.32 apply zenon_H14. apply refl_equal. % 2.14/2.32 (* end of lemma zenon_L1_ *) % 2.14/2.32 apply NNPP. intro zenon_G. % 2.14/2.32 apply (zenon_and_s _ _ m__731). zenon_intro zenon_H16. zenon_intro zenon_H15. % 2.14/2.32 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17. % 2.14/2.32 apply (zenon_and_s _ _ m__731_02). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 2.14/2.32 apply zenon_G. exists (xb). apply NNPP. zenon_intro zenon_H1b. % 2.14/2.32 apply (zenon_notand_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ]. % 2.14/2.32 exact (zenon_H1d zenon_H18). % 2.14/2.32 apply (zenon_notand_s _ _ zenon_H1c); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ]. % 2.14/2.32 generalize (mTCDef (xa)). zenon_intro zenon_H20. % 2.14/2.32 generalize (zenon_H20 (xR)). zenon_intro zenon_H21. % 2.14/2.32 generalize (zenon_H21 (xb)). zenon_intro zenon_H22. % 2.14/2.32 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 2.14/2.32 apply (zenon_notand_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 2.14/2.32 exact (zenon_H26 zenon_H16). % 2.14/2.32 apply (zenon_notand_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H1d ]. % 2.14/2.32 exact (zenon_H27 m__656). % 2.14/2.32 exact (zenon_H1d zenon_H18). % 2.14/2.32 apply (zenon_equiv_s _ _ zenon_H23); [ zenon_intro zenon_H2a; zenon_intro zenon_H29 | zenon_intro zenon_H1a; zenon_intro zenon_H28 ]. % 2.14/2.32 exact (zenon_H2a zenon_H1a). % 2.14/2.32 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 2.14/2.32 exact (zenon_H1f zenon_H2c). % 2.14/2.32 elim zenon_H2b. zenon_intro zenon_TW3_bt. zenon_intro zenon_H2e. % 2.14/2.32 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 2.14/2.32 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H32. zenon_intro zenon_H31. % 2.14/2.32 generalize (mTCRDef zenon_TW3_bt). zenon_intro zenon_H33. % 2.14/2.32 apply zenon_G. exists zenon_TW3_bt. apply NNPP. zenon_intro zenon_H34. % 2.14/2.32 apply (zenon_notand_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ]. % 2.14/2.32 exact (zenon_H36 zenon_H30). % 2.14/2.32 apply (zenon_notand_s _ _ zenon_H35); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 2.14/2.32 exact (zenon_H38 zenon_H32). % 2.14/2.32 generalize (zenon_H33 (xR)). zenon_intro zenon_H39. % 2.14/2.32 generalize (zenon_H39 (xb)). zenon_intro zenon_H3a. % 2.14/2.32 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 2.14/2.32 apply (zenon_notand_s _ _ zenon_H3c); [ zenon_intro zenon_H36 | zenon_intro zenon_H25 ]. % 2.14/2.32 exact (zenon_H36 zenon_H30). % 2.14/2.32 apply (zenon_notand_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H1d ]. % 2.14/2.32 exact (zenon_H27 m__656). % 2.14/2.32 exact (zenon_H1d zenon_H18). % 2.14/2.32 apply (zenon_equiv_s _ _ zenon_H3b); [ zenon_intro zenon_H37; zenon_intro zenon_H3f | zenon_intro zenon_H3e; zenon_intro zenon_H3d ]. % 2.14/2.32 apply (zenon_notor_s _ _ zenon_H3f). zenon_intro zenon_H41. zenon_intro zenon_H40. % 2.14/2.32 exact (zenon_H40 zenon_H31). % 2.14/2.32 exact (zenon_H37 zenon_H3e). % 2.14/2.32 generalize (mTCRDef (xb)). zenon_intro zenon_H42. % 2.14/2.32 generalize (zenon_H42 (xR)). zenon_intro zenon_H43. % 2.14/2.32 generalize (zenon_H43 (xb)). zenon_intro zenon_H44. % 2.14/2.32 apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ]. % 2.14/2.32 apply (zenon_notand_s _ _ zenon_H46); [ zenon_intro zenon_H1d | zenon_intro zenon_H25 ]. % 2.14/2.32 exact (zenon_H1d zenon_H18). % 2.14/2.32 apply (zenon_notand_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H1d ]. % 2.14/2.32 exact (zenon_H27 m__656). % 2.14/2.32 exact (zenon_H1d zenon_H18). % 2.14/2.32 apply (zenon_equiv_s _ _ zenon_H45); [ zenon_intro zenon_H1e; zenon_intro zenon_H49 | zenon_intro zenon_H48; zenon_intro zenon_H47 ]. % 2.14/2.32 apply (zenon_notor_s _ _ zenon_H49). zenon_intro zenon_H14. zenon_intro zenon_H4a. % 2.14/2.32 apply zenon_H14. apply refl_equal. % 2.14/2.32 exact (zenon_H1e zenon_H48). % 2.14/2.32 Qed. % 2.14/2.32 % SZS output end Proof % 2.14/2.32 (* END-PROOF *) % 2.14/2.32 nodes searched: 119455 % 2.14/2.32 max branch formulas: 6954 % 2.14/2.32 proof nodes created: 4328 % 2.14/2.32 formulas created: 316883 % 2.14/2.32 %------------------------------------------------------------------------------