%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV182+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n018.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 23:03:14 EDT 2022 % Result : Theorem 109.46s 109.70s % Output : Proof 109.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV182+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.12/0.14 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n018.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Tue Jun 14 15:59:59 EDT 2022 % 0.14/0.36 % CPUTime : % 109.46/109.70 (* PROOF-FOUND *) % 109.46/109.70 % SZS status Theorem % 109.46/109.70 (* BEGIN-PROOF *) % 109.46/109.70 % SZS output start Proof % 109.46/109.70 Theorem cl5_nebula_init_0086 : (((leq (tptp_float_0_001) (pv76))/\((leq (n1) (loopcounter))/\((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_select3 (center_init) C (n0)) = (init))))/\(((gt (loopcounter) (n0))->(forall D : zenon_U, (((leq (n0) D)/\(leq D (n4)))->((a_select2 (mu_init) D) = (init)))))/\(((gt (loopcounter) (n0))->(forall E : zenon_U, (((leq (n0) E)/\(leq E (n4)))->((a_select2 (rho_init) E) = (init)))))/\((gt (loopcounter) (n0))->(forall F : zenon_U, (((leq (n0) F)/\(leq F (n4)))->((a_select2 (sigma_init) F) = (init)))))))))))->(forall E : zenon_U, (((leq (n0) E)/\(leq E (n4)))->((a_select2 (rho_init) E) = (init))))). % 109.46/109.70 Proof. % 109.46/109.70 assert (zenon_L1_ : (~(gt (succ (loopcounter)) (succ (n0)))) -> (gt (succ (loopcounter)) (n1)) -> False). % 109.46/109.70 do 0 intro. intros zenon_H5c zenon_H5d. % 109.46/109.70 elim (classic ((n1) = (succ (n0)))); [ zenon_intro zenon_H5e | zenon_intro zenon_H5f ]. % 109.46/109.70 cut ((gt (succ (loopcounter)) (n1)) = (gt (succ (loopcounter)) (succ (n0)))). % 109.46/109.70 intro zenon_D_pnotp. % 109.46/109.70 apply zenon_H5c. % 109.46/109.70 rewrite <- zenon_D_pnotp. % 109.46/109.70 exact zenon_H5d. % 109.46/109.70 cut (((n1) = (succ (n0)))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 109.46/109.70 cut (((succ (loopcounter)) = (succ (loopcounter)))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 109.46/109.70 congruence. % 109.46/109.70 apply zenon_H60. apply refl_equal. % 109.46/109.70 exact (zenon_H5f zenon_H5e). % 109.46/109.70 apply zenon_H5f. apply sym_equal. exact successor_1. % 109.46/109.70 (* end of lemma zenon_L1_ *) % 109.46/109.70 apply NNPP. intro zenon_G. % 109.46/109.70 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H62. zenon_intro zenon_H61. % 109.46/109.70 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H64. zenon_intro zenon_H63. % 109.46/109.70 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H66. zenon_intro zenon_H65. % 109.46/109.70 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 109.46/109.70 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 109.46/109.70 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H6c. zenon_intro zenon_H6b. % 109.46/109.70 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 109.46/109.70 generalize (leq_succ_gt_equiv (n1)). zenon_intro zenon_H6f. % 109.46/109.70 generalize (zenon_H6f (loopcounter)). zenon_intro zenon_H70. % 109.46/109.70 apply (zenon_equiv_s _ _ zenon_H70); [ zenon_intro zenon_H72; zenon_intro zenon_H71 | zenon_intro zenon_H66; zenon_intro zenon_H5d ]. % 109.46/109.70 exact (zenon_H72 zenon_H66). % 109.46/109.70 apply (zenon_imply_s _ _ zenon_H6e); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 109.46/109.70 generalize (leq_succ_gt (n0)). zenon_intro zenon_H75. % 109.46/109.70 generalize (zenon_H75 (loopcounter)). zenon_intro zenon_H76. % 109.46/109.70 apply (zenon_imply_s _ _ zenon_H76); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ]. % 109.46/109.70 generalize (leq_succ_gt_equiv (succ (n0))). zenon_intro zenon_H79. % 109.46/109.70 generalize (zenon_H79 (loopcounter)). zenon_intro zenon_H7a. % 109.46/109.70 apply (zenon_equiv_s _ _ zenon_H7a); [ zenon_intro zenon_H78; zenon_intro zenon_H5c | zenon_intro zenon_H7c; zenon_intro zenon_H7b ]. % 109.46/109.70 apply (zenon_L1_); trivial. % 109.46/109.70 exact (zenon_H78 zenon_H7c). % 109.46/109.70 exact (zenon_H74 zenon_H77). % 109.46/109.70 exact (zenon_H61 zenon_H73). % 109.46/109.70 Qed. % 109.46/109.70 % SZS output end Proof % 109.46/109.70 (* END-PROOF *) % 109.46/109.70 nodes searched: 7691593 % 109.46/109.70 max branch formulas: 40820 % 109.46/109.70 proof nodes created: 23125 % 109.46/109.70 formulas created: 2483412 % 109.46/109.70 %------------------------------------------------------------------------------