%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : CSR044+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 : Sat Jul 16 00:02:05 EDT 2022 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : CSR044+1 : TPTP v8.1.0. Released v3.4.0. % 0.04/0.14 % Command : run_zenon %s %d % 0.15/0.36 % Computer : n017.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Fri Jun 10 06:29:20 EDT 2022 % 0.15/0.36 % CPUTime : % 0.39/0.57 (* PROOF-FOUND *) % 0.39/0.57 % SZS status Theorem % 0.39/0.57 (* BEGIN-PROOF *) % 0.39/0.57 % SZS output start Proof % 0.39/0.57 Theorem query44 : (exists X : zenon_U, ((mtvisible (c_tptp_member3633_mt))->((tptp_9_720 (c_tptpexecutionbyfiringsquad_90) X)/\(tptpcol_16_29490 X)))). % 0.39/0.57 Proof. % 0.39/0.57 assert (zenon_L1_ : (~((c_cyclistsmt) = (c_cyclistsmt))) -> False). % 0.39/0.57 do 0 intro. intros zenon_H3a. % 0.39/0.57 apply zenon_H3a. apply refl_equal. % 0.39/0.57 (* end of lemma zenon_L1_ *) % 0.39/0.57 assert (zenon_L2_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genlmt x y)->((genlmt y z)->(genlmt x z)))))) -> (~(mtvisible (c_cyclistsmt))) -> (mtvisible (c_tptp_member3633_mt)) -> False). % 0.39/0.57 do 0 intro. intros zenon_H3b zenon_H3c zenon_H3d. % 0.39/0.57 generalize (just48 (c_tptp_member3633_mt)). zenon_intro zenon_H3e. % 0.39/0.57 generalize (zenon_H3e (c_cyclistsmt)). zenon_intro zenon_H3f. % 0.39/0.57 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ]. % 0.39/0.57 apply (zenon_notand_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ]. % 0.39/0.57 exact (zenon_H43 zenon_H3d). % 0.39/0.57 elim (classic ((~((c_tptp_member3633_mt) = (c_tptp_spindleheadmt)))/\(~(genlmt (c_tptp_member3633_mt) (c_tptp_spindleheadmt))))); [ zenon_intro zenon_H44 | zenon_intro zenon_H45 ]. % 0.39/0.57 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.39/0.57 exact (zenon_H46 just9). % 0.39/0.57 cut ((genlmt (c_tptp_spindleheadmt) (c_cyclistsmt)) = (genlmt (c_tptp_member3633_mt) (c_cyclistsmt))). % 0.39/0.57 intro zenon_D_pnotp. % 0.39/0.57 apply zenon_H42. % 0.39/0.57 rewrite <- zenon_D_pnotp. % 0.39/0.57 exact just8. % 0.39/0.57 cut (((c_cyclistsmt) = (c_cyclistsmt))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 0.39/0.57 cut (((c_tptp_spindleheadmt) = (c_tptp_member3633_mt))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 0.39/0.57 congruence. % 0.39/0.57 apply (zenon_notand_s _ _ zenon_H45); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 0.39/0.57 apply zenon_H4a. zenon_intro zenon_H4b. % 0.39/0.57 elim (classic ((c_tptp_member3633_mt) = (c_tptp_member3633_mt))); [ zenon_intro zenon_H4c | zenon_intro zenon_H4d ]. % 0.39/0.57 cut (((c_tptp_member3633_mt) = (c_tptp_member3633_mt)) = ((c_tptp_spindleheadmt) = (c_tptp_member3633_mt))). % 0.39/0.57 intro zenon_D_pnotp. % 0.39/0.57 apply zenon_H48. % 0.39/0.57 rewrite <- zenon_D_pnotp. % 0.39/0.57 exact zenon_H4c. % 0.39/0.57 cut (((c_tptp_member3633_mt) = (c_tptp_member3633_mt))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 0.39/0.57 cut (((c_tptp_member3633_mt) = (c_tptp_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H47]. % 0.39/0.57 congruence. % 0.39/0.57 exact (zenon_H47 zenon_H4b). % 0.39/0.57 apply zenon_H4d. apply refl_equal. % 0.39/0.57 apply zenon_H4d. apply refl_equal. % 0.39/0.57 apply zenon_H49. zenon_intro just9. % 0.39/0.57 generalize (zenon_H3b (c_tptp_member3633_mt)). zenon_intro zenon_H4e. % 0.39/0.57 generalize (zenon_H4e (c_tptp_spindleheadmt)). zenon_intro zenon_H4f. % 0.39/0.57 generalize (zenon_H4f (c_cyclistsmt)). zenon_intro zenon_H50. % 0.39/0.57 apply (zenon_imply_s _ _ zenon_H50); [ zenon_intro zenon_H46 | zenon_intro zenon_H51 ]. % 0.39/0.57 exact (zenon_H46 just9). % 0.39/0.57 apply (zenon_imply_s _ _ zenon_H51); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ]. % 0.39/0.57 exact (zenon_H53 just8). % 0.39/0.57 exact (zenon_H42 zenon_H52). % 0.39/0.57 apply zenon_H3a. apply refl_equal. % 0.39/0.57 exact (zenon_H3c zenon_H40). % 0.39/0.57 (* end of lemma zenon_L2_ *) % 0.39/0.57 apply NNPP. intro zenon_G. % 0.39/0.57 elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genlmt x y)->((genlmt y z)->(genlmt x z))))))); [ zenon_intro zenon_H3b | zenon_intro zenon_H54 ]. % 0.39/0.57 apply (zenon_imply_s _ _ just11); [ zenon_intro zenon_H3c | zenon_intro zenon_H55 ]. % 0.39/0.57 apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H56. % 0.39/0.57 apply (zenon_notimply_s _ _ zenon_H56). zenon_intro zenon_H3d. zenon_intro zenon_H57. % 0.39/0.57 apply (zenon_L2_); trivial. % 0.39/0.57 apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H56. % 0.39/0.57 apply (zenon_notimply_s _ _ zenon_H56). zenon_intro zenon_H3d. zenon_intro zenon_H57. % 0.39/0.57 generalize (just10 (c_tptpexecutionbyfiringsquad_90)). zenon_intro zenon_H58. % 0.39/0.57 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ]. % 0.39/0.57 apply (zenon_notand_s _ _ zenon_H5a); [ zenon_intro zenon_H3c | zenon_intro zenon_H5b ]. % 0.39/0.57 apply (zenon_L2_); trivial. % 0.39/0.57 exact (zenon_H5b just12). % 0.39/0.57 generalize (just31 (f_relationallexistsfn (c_tptpexecutionbyfiringsquad_90) (c_tptp_9_720) (c_executionbyfiringsquad) (c_tptpcol_16_29490))). zenon_intro zenon_H5c. % 0.39/0.57 apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 0.39/0.57 generalize (just1 (c_tptpexecutionbyfiringsquad_90)). zenon_intro zenon_H5f. % 0.39/0.57 generalize (zenon_H5f (c_executionbyfiringsquad)). zenon_intro zenon_H60. % 0.39/0.57 generalize (zenon_H60 (c_tptp_9_720)). zenon_intro zenon_H61. % 0.39/0.57 generalize (zenon_H61 (c_tptpcol_16_29490)). zenon_intro zenon_H62. % 0.39/0.57 apply (zenon_imply_s _ _ zenon_H62); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ]. % 0.39/0.57 apply (zenon_notand_s _ _ zenon_H64); [ zenon_intro zenon_H66 | zenon_intro zenon_H65 ]. % 0.39/0.57 generalize (just34 (c_tptpexecutionbyfiringsquad_90)). zenon_intro zenon_H67. % 0.39/0.57 apply (zenon_imply_s _ _ zenon_H67); [ zenon_intro zenon_H5b | zenon_intro zenon_H68 ]. % 0.39/0.57 exact (zenon_H5b just12). % 0.39/0.57 exact (zenon_H66 zenon_H68). % 0.39/0.57 exact (zenon_H65 zenon_H55). % 0.39/0.57 exact (zenon_H5e zenon_H63). % 0.39/0.57 apply zenon_G. exists (f_relationallexistsfn (c_tptpexecutionbyfiringsquad_90) (c_tptp_9_720) (c_executionbyfiringsquad) (c_tptpcol_16_29490)). apply NNPP. zenon_intro zenon_H69. % 0.39/0.57 apply (zenon_notimply_s _ _ zenon_H69). zenon_intro zenon_H3d. zenon_intro zenon_H6a. % 0.39/0.57 apply (zenon_notand_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 0.39/0.57 exact (zenon_H6c zenon_H59). % 0.39/0.57 exact (zenon_H6b zenon_H5d). % 0.39/0.57 apply zenon_H54. zenon_intro zenon_Tx_ef. apply NNPP. zenon_intro zenon_H6e. % 0.39/0.57 apply zenon_H6e. zenon_intro zenon_Ty_eh. apply NNPP. zenon_intro zenon_H70. % 0.39/0.57 apply zenon_H70. zenon_intro zenon_Tz_ej. apply NNPP. zenon_intro zenon_H72. % 0.39/0.57 apply (zenon_notimply_s _ _ zenon_H72). zenon_intro zenon_H74. zenon_intro zenon_H73. % 0.39/0.57 apply (zenon_notimply_s _ _ zenon_H73). zenon_intro zenon_H76. zenon_intro zenon_H75. % 0.39/0.57 generalize (just53 zenon_Tx_ef). zenon_intro zenon_H77. % 0.39/0.57 generalize (zenon_H77 zenon_Ty_eh). zenon_intro zenon_H78. % 0.39/0.57 generalize (zenon_H78 zenon_Tz_ej). zenon_intro zenon_H79. % 0.39/0.57 apply (zenon_imply_s _ _ zenon_H79); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 0.39/0.57 apply (zenon_notand_s _ _ zenon_H7b); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 0.39/0.57 exact (zenon_H7d zenon_H74). % 0.39/0.57 exact (zenon_H7c zenon_H76). % 0.39/0.57 exact (zenon_H75 zenon_H7a). % 0.39/0.57 Qed. % 0.39/0.57 % SZS output end Proof % 0.39/0.57 (* END-PROOF *) % 0.39/0.57 nodes searched: 941 % 0.39/0.57 max branch formulas: 532 % 0.39/0.57 proof nodes created: 95 % 0.39/0.57 formulas created: 3825 % 0.39/0.57 %------------------------------------------------------------------------------