%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : COM021+4 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n025.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 01:53:02 EDT 2022 % Result : Theorem 1.89s 2.06s % Output : Proof 1.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : COM021+4 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n025.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 Jun 16 17:04:11 EDT 2022 % 0.13/0.35 % CPUTime : % 1.89/2.06 (* PROOF-FOUND *) % 1.89/2.06 % SZS status Theorem % 1.89/2.06 (* BEGIN-PROOF *) % 1.89/2.06 % SZS output start Proof % 1.89/2.06 Theorem m__ : (((xb) = (xd))\/((aReductOfIn0 (xd) (xb) (xR))\/((exists W0 : zenon_U, ((aElement0 W0)/\((aReductOfIn0 W0 (xb) (xR))/\(sdtmndtplgtdt0 W0 (xR) (xd)))))\/((sdtmndtplgtdt0 (xb) (xR) (xd))\/(sdtmndtasgtdt0 (xb) (xR) (xd)))))). % 1.89/2.06 Proof. % 1.89/2.06 assert (zenon_L1_ : (~((xb) = (xb))) -> False). % 1.89/2.06 do 0 intro. intros zenon_H19. % 1.89/2.06 apply zenon_H19. apply refl_equal. % 1.89/2.06 (* end of lemma zenon_L1_ *) % 1.89/2.06 assert (zenon_L2_ : (~((xR) = (xR))) -> False). % 1.89/2.06 do 0 intro. intros zenon_H1a. % 1.89/2.06 apply zenon_H1a. apply refl_equal. % 1.89/2.06 (* end of lemma zenon_L2_ *) % 1.89/2.06 apply NNPP. intro zenon_G. % 1.89/2.06 apply (zenon_and_s _ _ m__818). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 1.89/2.06 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 1.89/2.06 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 1.89/2.06 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H22. zenon_intro zenon_H21. % 1.89/2.06 apply (zenon_and_s _ _ m__850). zenon_intro zenon_H24. zenon_intro zenon_H23. % 1.89/2.06 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H26. zenon_intro zenon_H25. % 1.89/2.06 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H28. zenon_intro zenon_H27. % 1.89/2.06 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 1.89/2.06 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 1.89/2.06 apply (zenon_notor_s _ _ zenon_H2b). zenon_intro zenon_H2e. zenon_intro zenon_H2d. % 1.89/2.06 apply (zenon_notor_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 1.89/2.06 apply (zenon_notor_s _ _ zenon_H2f). zenon_intro zenon_H32. zenon_intro zenon_H31. % 1.89/2.06 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ]. % 1.89/2.06 cut ((sdtmndtasgtdt0 (xb) (xR) (xx)) = (sdtmndtasgtdt0 (xb) (xR) (xd))). % 1.89/2.06 intro zenon_D_pnotp. % 1.89/2.06 apply zenon_H31. % 1.89/2.06 rewrite <- zenon_D_pnotp. % 1.89/2.06 exact zenon_H28. % 1.89/2.06 cut (((xx) = (xd))); [idtac | apply NNPP; zenon_intro zenon_H35]. % 1.89/2.06 cut (((xR) = (xR))); [idtac | apply NNPP; zenon_intro zenon_H1a]. % 1.89/2.06 cut (((xb) = (xb))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 1.89/2.06 congruence. % 1.89/2.06 apply zenon_H19. apply refl_equal. % 1.89/2.06 apply zenon_H1a. apply refl_equal. % 1.89/2.06 apply zenon_H35. apply sym_equal. exact zenon_H34. % 1.89/2.06 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H37. zenon_intro zenon_H36. % 1.89/2.06 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 1.89/2.06 apply zenon_H22. exists (xx). apply NNPP. zenon_intro zenon_H3a. % 1.89/2.06 exact (zenon_H3a zenon_H39). % 1.89/2.06 elim zenon_H38. zenon_intro zenon_TW0_ch. zenon_intro zenon_H3c. % 1.89/2.06 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3e. zenon_intro zenon_H3d. % 1.89/2.06 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H40. zenon_intro zenon_H3f. % 1.89/2.06 apply zenon_H22. exists zenon_TW0_ch. apply NNPP. zenon_intro zenon_H41. % 1.89/2.06 exact (zenon_H41 zenon_H40). % 1.89/2.06 Qed. % 1.89/2.06 % SZS output end Proof % 1.89/2.06 (* END-PROOF *) % 1.89/2.06 nodes searched: 60166 % 1.89/2.06 max branch formulas: 5859 % 1.89/2.06 proof nodes created: 8003 % 1.89/2.06 formulas created: 166130 % 1.89/2.06 %------------------------------------------------------------------------------