%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV172+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 2.90s 3.16s % Output : Proof 2.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV172+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n004.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 15 19:10:54 EDT 2022 % 0.12/0.34 % CPUTime : % 2.90/3.16 (* PROOF-FOUND *) % 2.90/3.16 % SZS status Theorem % 2.90/3.16 (* BEGIN-PROOF *) % 2.90/3.16 % SZS output start Proof % 2.90/3.16 Theorem cl5_nebula_init_0036 : (((leq (n0) (pv10))/\((leq (n0) (pv54))/\((leq (pv10) (n135299))/\((leq (pv54) (n4))/\((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 (n4)))->((a_select2 (mu_init) D) = (init))))/\((forall E : zenon_U, (((leq (n0) E)/\(leq E (n4)))->((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))))))))))))))))->((a_select2 (rho_init) (pv54)) = (init))). % 2.90/3.16 Proof. % 2.90/3.16 assert (zenon_L1_ : (gt (succ (pv54)) (n0)) -> (~(leq (n0) (pv54))) -> False). % 2.90/3.16 do 0 intro. intros zenon_H5c zenon_H5d. % 2.90/3.16 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H5e. % 2.90/3.16 generalize (zenon_H5e (pv54)). zenon_intro zenon_H5f. % 2.90/3.16 apply (zenon_equiv_s _ _ zenon_H5f); [ zenon_intro zenon_H5d; zenon_intro zenon_H61 | zenon_intro zenon_H60; zenon_intro zenon_H5c ]. % 2.90/3.16 exact (zenon_H61 zenon_H5c). % 2.90/3.16 exact (zenon_H5d zenon_H60). % 2.90/3.16 (* end of lemma zenon_L1_ *) % 2.90/3.16 assert (zenon_L2_ : (gt (succ (n4)) (pv54)) -> (~(leq (pv54) (n4))) -> False). % 2.90/3.16 do 0 intro. intros zenon_H62 zenon_H63. % 2.90/3.16 generalize (leq_succ_gt_equiv (pv54)). zenon_intro zenon_H64. % 2.90/3.16 generalize (zenon_H64 (n4)). zenon_intro zenon_H65. % 2.90/3.16 apply (zenon_equiv_s _ _ zenon_H65); [ zenon_intro zenon_H63; zenon_intro zenon_H67 | zenon_intro zenon_H66; zenon_intro zenon_H62 ]. % 2.90/3.16 exact (zenon_H67 zenon_H62). % 2.90/3.16 exact (zenon_H63 zenon_H66). % 2.90/3.16 (* end of lemma zenon_L2_ *) % 2.90/3.16 apply NNPP. intro zenon_G. % 2.90/3.16 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H69. zenon_intro zenon_H68. % 2.90/3.16 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H6b. zenon_intro zenon_H6a. % 2.90/3.16 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H60. zenon_intro zenon_H6c. % 2.90/3.16 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 2.90/3.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H66. zenon_intro zenon_H6f. % 2.90/3.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H71. zenon_intro zenon_H70. % 2.90/3.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 2.90/3.16 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H5e. % 2.90/3.16 generalize (zenon_H5e (pv54)). zenon_intro zenon_H5f. % 2.90/3.16 apply (zenon_equiv_s _ _ zenon_H5f); [ zenon_intro zenon_H5d; zenon_intro zenon_H61 | zenon_intro zenon_H60; zenon_intro zenon_H5c ]. % 2.90/3.16 exact (zenon_H5d zenon_H60). % 2.90/3.16 generalize (leq_succ_gt_equiv (pv54)). zenon_intro zenon_H64. % 2.90/3.16 generalize (zenon_H64 (n4)). zenon_intro zenon_H65. % 2.90/3.16 apply (zenon_equiv_s _ _ zenon_H65); [ zenon_intro zenon_H63; zenon_intro zenon_H67 | zenon_intro zenon_H66; zenon_intro zenon_H62 ]. % 2.90/3.16 exact (zenon_H63 zenon_H66). % 2.90/3.16 generalize (zenon_H73 (pv54)). zenon_intro zenon_H74. % 2.90/3.16 apply (zenon_imply_s _ _ zenon_H74); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ]. % 2.90/3.16 apply (zenon_notand_s _ _ zenon_H76); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 2.90/3.16 apply (zenon_L1_); trivial. % 2.90/3.16 apply (zenon_L2_); trivial. % 2.90/3.16 exact (zenon_H68 zenon_H75). % 2.90/3.16 Qed. % 2.90/3.16 % SZS output end Proof % 2.90/3.16 (* END-PROOF *) % 2.90/3.16 nodes searched: 206785 % 2.90/3.16 max branch formulas: 6705 % 2.90/3.16 proof nodes created: 508 % 2.90/3.16 formulas created: 136401 % 2.90/3.16 %------------------------------------------------------------------------------