%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : CSR026+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n032.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 00:01:47 EDT 2022 % Result : Theorem 0.12s 0.40s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.09 % Problem : CSR026+1 : TPTP v8.1.0. Released v3.4.0. % 0.06/0.10 % Command : run_zenon %s %d % 0.09/0.28 % Computer : n032.cluster.edu % 0.09/0.28 % Model : x86_64 x86_64 % 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.28 % Memory : 8042.1875MB % 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.28 % CPULimit : 300 % 0.09/0.28 % WCLimit : 600 % 0.09/0.28 % DateTime : Thu Jun 9 22:18:23 EDT 2022 % 0.09/0.28 % CPUTime : % 0.12/0.40 (* PROOF-FOUND *) % 0.12/0.40 % SZS status Theorem % 0.12/0.40 (* BEGIN-PROOF *) % 0.12/0.40 % SZS output start Proof % 0.12/0.40 Theorem query26 : ((mtvisible (c_tptp_spindlecollectormt))->(tptpofobject (c_tptprunningshorts) (f_tptpquantityfn_2 (n_756)))). % 0.12/0.40 Proof. % 0.12/0.40 apply NNPP. intro zenon_G. % 0.12/0.40 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_H31 | zenon_intro zenon_H32 ]. % 0.12/0.40 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H34. zenon_intro zenon_H33. % 0.12/0.40 apply (zenon_imply_s _ _ just11); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ]. % 0.12/0.40 generalize (just48 (c_tptp_spindlecollectormt)). zenon_intro zenon_H37. % 0.12/0.40 generalize (zenon_H37 (c_cyclistsmt)). zenon_intro zenon_H38. % 0.12/0.40 apply (zenon_imply_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 0.12/0.40 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 0.12/0.40 exact (zenon_H3c zenon_H34). % 0.12/0.40 elim (classic ((~((c_tptp_spindlecollectormt) = (c_tptp_spindleheadmt)))/\(~(genlmt (c_tptp_spindlecollectormt) (c_tptp_spindleheadmt))))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ]. % 0.12/0.40 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H40. zenon_intro zenon_H3f. % 0.12/0.40 elim (classic ((~((c_tptp_spindlecollectormt) = (c_tptp_member3993_mt)))/\(~(genlmt (c_tptp_spindlecollectormt) (c_tptp_member3993_mt))))); [ zenon_intro zenon_H41 | zenon_intro zenon_H42 ]. % 0.12/0.40 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H44. zenon_intro zenon_H43. % 0.12/0.40 exact (zenon_H43 just8). % 0.12/0.40 cut ((genlmt (c_tptp_member3993_mt) (c_tptp_spindleheadmt)) = (genlmt (c_tptp_spindlecollectormt) (c_tptp_spindleheadmt))). % 0.12/0.40 intro zenon_D_pnotp. % 0.12/0.40 apply zenon_H3f. % 0.12/0.40 rewrite <- zenon_D_pnotp. % 0.12/0.40 exact just7. % 0.12/0.40 cut (((c_tptp_spindleheadmt) = (c_tptp_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 0.12/0.40 cut (((c_tptp_member3993_mt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 0.12/0.40 congruence. % 0.12/0.40 apply (zenon_notand_s _ _ zenon_H42); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 0.12/0.40 apply zenon_H48. zenon_intro zenon_H49. % 0.12/0.40 elim (classic ((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ]. % 0.12/0.40 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt)) = ((c_tptp_member3993_mt) = (c_tptp_spindlecollectormt))). % 0.12/0.40 intro zenon_D_pnotp. % 0.12/0.40 apply zenon_H46. % 0.12/0.40 rewrite <- zenon_D_pnotp. % 0.12/0.40 exact zenon_H4a. % 0.12/0.40 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 0.12/0.40 cut (((c_tptp_spindlecollectormt) = (c_tptp_member3993_mt))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 0.12/0.40 congruence. % 0.12/0.40 exact (zenon_H44 zenon_H49). % 0.12/0.40 apply zenon_H4b. apply refl_equal. % 0.12/0.40 apply zenon_H4b. apply refl_equal. % 0.12/0.40 apply zenon_H47. zenon_intro just8. % 0.12/0.40 generalize (zenon_H31 (c_tptp_spindlecollectormt)). zenon_intro zenon_H4c. % 0.12/0.40 generalize (zenon_H4c (c_tptp_member3993_mt)). zenon_intro zenon_H4d. % 0.12/0.40 generalize (zenon_H4d (c_tptp_spindleheadmt)). zenon_intro zenon_H4e. % 0.12/0.40 apply (zenon_imply_s _ _ zenon_H4e); [ zenon_intro zenon_H43 | zenon_intro zenon_H4f ]. % 0.12/0.40 exact (zenon_H43 just8). % 0.12/0.40 apply (zenon_imply_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 0.12/0.40 exact (zenon_H51 just7). % 0.12/0.40 exact (zenon_H3f zenon_H50). % 0.12/0.40 apply zenon_H45. apply refl_equal. % 0.12/0.40 cut ((genlmt (c_tptp_spindleheadmt) (c_cyclistsmt)) = (genlmt (c_tptp_spindlecollectormt) (c_cyclistsmt))). % 0.12/0.40 intro zenon_D_pnotp. % 0.12/0.40 apply zenon_H3b. % 0.12/0.40 rewrite <- zenon_D_pnotp. % 0.12/0.40 exact just5. % 0.12/0.40 cut (((c_cyclistsmt) = (c_cyclistsmt))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 0.12/0.40 cut (((c_tptp_spindleheadmt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 0.12/0.40 congruence. % 0.12/0.40 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ]. % 0.12/0.40 apply zenon_H55. zenon_intro zenon_H56. % 0.12/0.40 elim (classic ((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ]. % 0.12/0.40 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt)) = ((c_tptp_spindleheadmt) = (c_tptp_spindlecollectormt))). % 0.12/0.40 intro zenon_D_pnotp. % 0.12/0.40 apply zenon_H53. % 0.12/0.40 rewrite <- zenon_D_pnotp. % 0.12/0.40 exact zenon_H4a. % 0.12/0.40 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 0.12/0.40 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 0.12/0.40 congruence. % 0.12/0.40 exact (zenon_H40 zenon_H56). % 0.12/0.40 apply zenon_H4b. apply refl_equal. % 0.12/0.40 apply zenon_H4b. apply refl_equal. % 0.12/0.40 apply zenon_H54. zenon_intro zenon_H50. % 0.12/0.40 generalize (zenon_H31 (c_tptp_spindlecollectormt)). zenon_intro zenon_H4c. % 0.12/0.40 generalize (zenon_H4c (c_tptp_spindleheadmt)). zenon_intro zenon_H57. % 0.12/0.40 generalize (zenon_H57 (c_cyclistsmt)). zenon_intro zenon_H58. % 0.12/0.40 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.12/0.40 exact (zenon_H3f zenon_H50). % 0.12/0.40 apply (zenon_imply_s _ _ zenon_H59); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ]. % 0.12/0.40 exact (zenon_H5b just5). % 0.12/0.40 exact (zenon_H3b zenon_H5a). % 0.12/0.40 apply zenon_H52. apply refl_equal. % 0.12/0.40 exact (zenon_H36 zenon_H39). % 0.12/0.40 generalize (just9 (c_tptprunningshorts)). zenon_intro zenon_H5c. % 0.12/0.40 apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 0.12/0.40 apply (zenon_notand_s _ _ zenon_H5e); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ]. % 0.12/0.40 generalize (just48 (c_tptp_spindlecollectormt)). zenon_intro zenon_H37. % 0.12/0.40 generalize (zenon_H37 (c_tptp_member2701_mt)). zenon_intro zenon_H61. % 0.12/0.40 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ]. % 0.12/0.40 apply (zenon_notand_s _ _ zenon_H63); [ zenon_intro zenon_H3c | zenon_intro zenon_H64 ]. % 0.12/0.40 exact (zenon_H3c zenon_H34). % 0.12/0.40 exact (zenon_H64 just6). % 0.12/0.40 exact (zenon_H60 zenon_H62). % 0.12/0.40 exact (zenon_H5f zenon_H35). % 0.12/0.40 exact (zenon_H33 zenon_H5d). % 0.12/0.40 apply zenon_H32. zenon_intro zenon_Tx_dx. apply NNPP. zenon_intro zenon_H66. % 0.12/0.40 apply zenon_H66. zenon_intro zenon_Ty_dz. apply NNPP. zenon_intro zenon_H68. % 0.12/0.40 apply zenon_H68. zenon_intro zenon_Tz_eb. apply NNPP. zenon_intro zenon_H6a. % 0.12/0.40 apply (zenon_notimply_s _ _ zenon_H6a). zenon_intro zenon_H6c. zenon_intro zenon_H6b. % 0.12/0.40 apply (zenon_notimply_s _ _ zenon_H6b). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 0.12/0.40 generalize (just53 zenon_Tx_dx). zenon_intro zenon_H6f. % 0.12/0.40 generalize (zenon_H6f zenon_Ty_dz). zenon_intro zenon_H70. % 0.12/0.40 generalize (zenon_H70 zenon_Tz_eb). zenon_intro zenon_H71. % 0.12/0.40 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 0.12/0.40 apply (zenon_notand_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 0.12/0.40 exact (zenon_H75 zenon_H6c). % 0.12/0.40 exact (zenon_H74 zenon_H6e). % 0.12/0.40 exact (zenon_H6d zenon_H72). % 0.12/0.40 Qed. % 0.12/0.40 % SZS output end Proof % 0.12/0.40 (* END-PROOF *) % 0.12/0.40 nodes searched: 287 % 0.12/0.40 max branch formulas: 187 % 0.12/0.40 proof nodes created: 34 % 0.12/0.40 formulas created: 1433 % 0.12/0.40 %------------------------------------------------------------------------------