%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV093+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n011.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 23:02:56 EDT 2022 % Result : Theorem 0.19s 0.51s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SWV093+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n011.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 16 01:04:50 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.51 (* PROOF-FOUND *) % 0.19/0.51 % SZS status Theorem % 0.19/0.51 (* BEGIN-PROOF *) % 0.19/0.51 % SZS output start Proof % 0.19/0.51 Theorem quaternion_ds1_inuse_0005 : ((((a_select2 (rho_defuse) (n0)) = (use))/\(((a_select2 (rho_defuse) (n1)) = (use))/\(((a_select2 (rho_defuse) (n2)) = (use))/\(((a_select2 (sigma_defuse) (n0)) = (use))/\(((a_select2 (sigma_defuse) (n1)) = (use))/\(((a_select2 (sigma_defuse) (n2)) = (use))/\(((a_select2 (sigma_defuse) (n3)) = (use))/\(((a_select2 (sigma_defuse) (n4)) = (use))/\(((a_select2 (sigma_defuse) (n5)) = (use))/\(((a_select3 (u_defuse) (n0) (n0)) = (use))/\(((a_select3 (u_defuse) (n1) (n0)) = (use))/\(((a_select3 (u_defuse) (n2) (n0)) = (use))/\(((a_select2 (xinit_defuse) (n3)) = (use))/\(((a_select2 (xinit_defuse) (n4)) = (use))/\(((a_select2 (xinit_defuse) (n5)) = (use))/\(((a_select2 (xinit_mean_defuse) (n0)) = (use))/\(((a_select2 (xinit_mean_defuse) (n1)) = (use))/\(((a_select2 (xinit_mean_defuse) (n2)) = (use))/\(((a_select2 (xinit_mean_defuse) (n3)) = (use))/\(((a_select2 (xinit_mean_defuse) (n4)) = (use))/\(((a_select2 (xinit_mean_defuse) (n5)) = (use))/\(((a_select2 (xinit_noise_defuse) (n0)) = (use))/\(((a_select2 (xinit_noise_defuse) (n1)) = (use))/\(((a_select2 (xinit_noise_defuse) (n2)) = (use))/\(((a_select2 (xinit_noise_defuse) (n3)) = (use))/\(((a_select2 (xinit_noise_defuse) (n4)) = (use))/\(((a_select2 (xinit_noise_defuse) (n5)) = (use))/\((leq (n0) (pv5))/\((leq (n0) (pv41))/\((leq (pv5) (minus (n999) (n1)))/\((leq (pv41) (minus (n6) (n1)))/\((forall A : zenon_U, (forall B : zenon_U, (((leq (n0) A)/\((leq (n0) B)/\((leq A (n2))/\(leq B (pv5)))))->(((a_select3 (u_defuse) A B) = (use))/\((a_select3 (z_defuse) A B) = (use))))))/\(forall C : zenon_U, (forall D : zenon_U, (((leq (n0) C)/\((leq (n0) D)/\((leq C (n2))/\(leq D (minus (pv5) (n1))))))->(((a_select3 (u_defuse) C D) = (use))/\((a_select3 (z_defuse) C D) = (use))))))))))))))))))))))))))))))))))))))->(((a_select2 (rho_defuse) (n0)) = (use))/\(((a_select2 (rho_defuse) (n1)) = (use))/\(((a_select2 (rho_defuse) (n2)) = (use))/\(((a_select2 (sigma_defuse) (n0)) = (use))/\(((a_select2 (sigma_defuse) (n1)) = (use))/\(((a_select2 (sigma_defuse) (n2)) = (use))/\(((a_select2 (sigma_defuse) (n3)) = (use))/\(((a_select2 (sigma_defuse) (n4)) = (use))/\(((a_select2 (sigma_defuse) (n5)) = (use))/\(((a_select3 (u_defuse) (n0) (n0)) = (use))/\(((a_select3 (u_defuse) (n1) (n0)) = (use))/\(((a_select3 (u_defuse) (n2) (n0)) = (use))/\(((a_select2 (xinit_defuse) (n3)) = (use))/\(((a_select2 (xinit_defuse) (n4)) = (use))/\(((a_select2 (xinit_defuse) (n5)) = (use))/\(((a_select2 (xinit_mean_defuse) (n0)) = (use))/\(((a_select2 (xinit_mean_defuse) (n1)) = (use))/\(((a_select2 (xinit_mean_defuse) (n2)) = (use))/\(((a_select2 (xinit_mean_defuse) (n3)) = (use))/\(((a_select2 (xinit_mean_defuse) (n4)) = (use))/\(((a_select2 (xinit_mean_defuse) (n5)) = (use))/\(((a_select2 (xinit_noise_defuse) (n0)) = (use))/\(((a_select2 (xinit_noise_defuse) (n1)) = (use))/\(((a_select2 (xinit_noise_defuse) (n2)) = (use))/\(((a_select2 (xinit_noise_defuse) (n3)) = (use))/\(((a_select2 (xinit_noise_defuse) (n4)) = (use))/\(((a_select2 (xinit_noise_defuse) (n5)) = (use))/\((leq (n0) (pv5))/\((leq (pv5) (minus (n999) (n1)))/\((forall A : zenon_U, (forall B : zenon_U, (((leq (n0) A)/\((leq (n0) B)/\((leq A (n2))/\(leq B (pv5)))))->(((a_select3 (u_defuse) A B) = (use))/\((a_select3 (z_defuse) A B) = (use))))))/\(forall C : zenon_U, (forall D : zenon_U, (((leq (n0) C)/\((leq (n0) D)/\((leq C (n2))/\(leq D (minus (pv5) (n1))))))->(((a_select3 (u_defuse) C D) = (use))/\((a_select3 (z_defuse) C D) = (use))))))))))))))))))))))))))))))))))))). % 0.19/0.51 Proof. % 0.19/0.51 apply NNPP. intro zenon_G. % 0.19/0.51 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H67. zenon_intro zenon_H66. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H6b. zenon_intro zenon_H6a. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H6d. zenon_intro zenon_H6c. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H8f. zenon_intro zenon_H8e. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H95. zenon_intro zenon_H94. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H97. zenon_intro zenon_H96. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H99. zenon_intro zenon_H98. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H9d. zenon_intro zenon_H9c. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9f. zenon_intro zenon_H9e. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_Ha1. zenon_intro zenon_Ha0. % 0.19/0.51 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.19/0.51 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.19/0.51 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.19/0.51 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_Ha8. % 0.19/0.51 generalize (zenon_Ha8 (pv5)). zenon_intro zenon_Ha9. % 0.19/0.51 apply (zenon_equiv_s _ _ zenon_Ha9); [ zenon_intro zenon_Hac; zenon_intro zenon_Hab | zenon_intro zenon_H9f; zenon_intro zenon_Haa ]. % 0.19/0.51 exact (zenon_Hac zenon_H9f). % 0.19/0.51 generalize (leq_succ_gt_equiv (pv5)). zenon_intro zenon_Had. % 0.19/0.51 generalize (zenon_Had (minus (n999) (n1))). zenon_intro zenon_Hae. % 0.19/0.51 apply (zenon_equiv_s _ _ zenon_Hae); [ zenon_intro zenon_Hb1; zenon_intro zenon_Hb0 | zenon_intro zenon_Ha3; zenon_intro zenon_Haf ]. % 0.19/0.51 exact (zenon_Hb1 zenon_Ha3). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_H66); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb2 ]. % 0.19/0.51 exact (zenon_Hb3 zenon_H69). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb4 ]. % 0.19/0.51 exact (zenon_Hb5 zenon_H6b). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hb6 ]. % 0.19/0.51 exact (zenon_Hb7 zenon_H6d). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ]. % 0.19/0.51 exact (zenon_Hb9 zenon_H6f). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ]. % 0.19/0.51 exact (zenon_Hbb zenon_H71). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hba); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ]. % 0.19/0.51 exact (zenon_Hbd zenon_H73). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ]. % 0.19/0.51 exact (zenon_Hbf zenon_H75). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc0 ]. % 0.19/0.51 exact (zenon_Hc1 zenon_H77). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hc0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 0.19/0.51 exact (zenon_Hc3 zenon_H79). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ]. % 0.19/0.51 exact (zenon_Hc5 zenon_H7b). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc6 ]. % 0.19/0.51 exact (zenon_Hc7 zenon_H7d). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hc8 ]. % 0.19/0.51 exact (zenon_Hc9 zenon_H7f). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hc8); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hca ]. % 0.19/0.51 exact (zenon_Hcb zenon_H81). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hca); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcc ]. % 0.19/0.51 exact (zenon_Hcd zenon_H83). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hcc); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hce ]. % 0.19/0.51 exact (zenon_Hcf zenon_H85). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hce); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 0.19/0.51 exact (zenon_Hd1 zenon_H87). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ]. % 0.19/0.51 exact (zenon_Hd3 zenon_H89). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hd2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd4 ]. % 0.19/0.51 exact (zenon_Hd5 zenon_H8b). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hd4); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd6 ]. % 0.19/0.51 exact (zenon_Hd7 zenon_H8d). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Hd8 ]. % 0.19/0.51 exact (zenon_Hd9 zenon_H8f). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hd8); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hda ]. % 0.19/0.51 exact (zenon_Hdb zenon_H91). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hda); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hdc ]. % 0.19/0.51 exact (zenon_Hdd zenon_H93). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hdc); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hde ]. % 0.19/0.51 exact (zenon_Hdf zenon_H95). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hde); [ zenon_intro zenon_He1 | zenon_intro zenon_He0 ]. % 0.19/0.51 exact (zenon_He1 zenon_H97). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_He0); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 0.19/0.51 exact (zenon_He3 zenon_H99). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_He2); [ zenon_intro zenon_He5 | zenon_intro zenon_He4 ]. % 0.19/0.51 exact (zenon_He5 zenon_H9b). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_He4); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ]. % 0.19/0.51 exact (zenon_He7 zenon_H9d). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_He6); [ zenon_intro zenon_Hac | zenon_intro zenon_He8 ]. % 0.19/0.51 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_Ha8. % 0.19/0.51 generalize (zenon_Ha8 (pv5)). zenon_intro zenon_Ha9. % 0.19/0.51 apply (zenon_equiv_s _ _ zenon_Ha9); [ zenon_intro zenon_Hac; zenon_intro zenon_Hab | zenon_intro zenon_H9f; zenon_intro zenon_Haa ]. % 0.19/0.51 exact (zenon_Hab zenon_Haa). % 0.19/0.51 exact (zenon_Hac zenon_H9f). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_He8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_He9 ]. % 0.19/0.51 generalize (leq_succ_gt_equiv (pv5)). zenon_intro zenon_Had. % 0.19/0.51 generalize (zenon_Had (minus (n999) (n1))). zenon_intro zenon_Hae. % 0.19/0.51 apply (zenon_equiv_s _ _ zenon_Hae); [ zenon_intro zenon_Hb1; zenon_intro zenon_Hb0 | zenon_intro zenon_Ha3; zenon_intro zenon_Haf ]. % 0.19/0.51 exact (zenon_Hb0 zenon_Haf). % 0.19/0.51 exact (zenon_Hb1 zenon_Ha3). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ]. % 0.19/0.51 exact (zenon_Heb zenon_Ha7). % 0.19/0.51 exact (zenon_Hea zenon_Ha6). % 0.19/0.51 Qed. % 0.19/0.51 % SZS output end Proof % 0.19/0.51 (* END-PROOF *) % 0.19/0.51 nodes searched: 57 % 0.19/0.51 max branch formulas: 148 % 0.19/0.51 proof nodes created: 37 % 0.19/0.51 formulas created: 3448 % 0.19/0.51 %------------------------------------------------------------------------------