%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV176+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 : Wed Jul 20 23:03:12 EDT 2022 % Result : Theorem 0.22s 0.55s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SWV176+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.08/0.15 % Command : run_zenon %s %d % 0.15/0.36 % Computer : n004.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 : Wed Jun 15 14:19:09 EDT 2022 % 0.15/0.37 % CPUTime : % 0.22/0.55 (* PROOF-FOUND *) % 0.22/0.55 % SZS status Theorem % 0.22/0.55 (* BEGIN-PROOF *) % 0.22/0.55 % SZS output start Proof % 0.22/0.55 Theorem cl5_nebula_init_0056 : (((leq (n0) (pv40))/\((leq (n0) (pv44))/\((leq (pv40) (n4))/\((leq (pv44) (n135299))/\((gt (loopcounter) (n1))/\((forall A : zenon_U, (((leq (n0) A)/\(leq A (n135299)))->(forall B : zenon_U, (((leq (n0) B)/\(leq B (n4)))->((a_select3 (q_init) A B) = (init))))))/\((forall C : zenon_U, (((leq (n0) C)/\(leq C (n4)))->((a_select2 (rho_init) C) = (init))))/\((forall D : zenon_U, (((leq (n0) D)/\(leq D (pred (pv40))))->((a_select2 (mu_init) D) = (init))))/\((forall E : zenon_U, (((leq (n0) E)/\(leq E (pred (pv40))))->((a_select2 (sigma_init) E) = (init))))/\((forall F : zenon_U, (((leq (n0) F)/\(leq F (n4)))->((a_select3 (center_init) F (n0)) = (init))))/\(((gt (loopcounter) (n1))->(forall G : zenon_U, (((leq (n0) G)/\(leq G (n4)))->((a_select2 (muold_init) G) = (init)))))/\(((gt (loopcounter) (n1))->(forall H : zenon_U, (((leq (n0) H)/\(leq H (n4)))->((a_select2 (rhoold_init) H) = (init)))))/\((gt (loopcounter) (n1))->(forall I : zenon_U, (((leq (n0) I)/\(leq I (n4)))->((a_select2 (sigmaold_init) I) = (init)))))))))))))))))->(forall G : zenon_U, (((leq (n0) G)/\(leq G (n4)))->((a_select2 (muold_init) G) = (init))))). % 0.22/0.55 Proof. % 0.22/0.55 apply NNPP. intro zenon_G. % 0.22/0.55 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H5f. zenon_intro zenon_H5e. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H61. zenon_intro zenon_H60. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H63. zenon_intro zenon_H62. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H65. zenon_intro zenon_H64. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H67. zenon_intro zenon_H66. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H69. zenon_intro zenon_H68. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H6b. zenon_intro zenon_H6a. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H6d. zenon_intro zenon_H6c. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.22/0.55 apply (zenon_imply_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 0.22/0.55 exact (zenon_H75 zenon_H67). % 0.22/0.55 exact (zenon_H5c zenon_H74). % 0.22/0.55 Qed. % 0.22/0.55 % SZS output end Proof % 0.22/0.55 (* END-PROOF *) % 0.22/0.55 nodes searched: 13 % 0.22/0.55 max branch formulas: 112 % 0.22/0.55 proof nodes created: 4 % 0.22/0.55 formulas created: 1441 % 0.22/0.55 %------------------------------------------------------------------------------