%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV232+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n005.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 23:03:23 EDT 2022 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV232+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.12/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n005.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 02:03:53 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 Theorem quaternion_ds1_symm_0841 : ((forall A : zenon_U, (forall B : zenon_U, (((leq (n0) A)/\((leq (n0) B)/\((leq A (n5))/\(leq B (n5)))))->((a_select3 (q_ds1_filter) A B) = (a_select3 (q_ds1_filter) B A)))))->(forall C : zenon_U, (forall D : zenon_U, (((leq (n0) C)/\((leq (n0) D)/\((leq C (n2))/\(leq D (n2)))))->(((~(((n0) = C)/\((n1) = D)))/\((~(((n0) = C)/\((n2) = D)))/\((~(((n0) = D)/\((n2) = C)))/\((~(((n1) = C)/\((n1) = D)))/\((~(((n1) = C)/\((n2) = D)))/\((~(((n1) = D)/\((n2) = C)))/\((~(((n2) = C)/\((n2) = D)))/\(((n0) = D)/\(((n1) = C)/\(((n1) = D)/\((n2) = C)))))))))))->((a_select2 (rho) (n1)) = (n0))))))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H56. zenon_intro zenon_H55. % 0.19/0.50 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, (((leq (n0) C)/\((leq (n0) D)/\((leq C (n2))/\(leq D (n2)))))->(((~(((n0) = C)/\((n1) = D)))/\((~(((n0) = C)/\((n2) = D)))/\((~(((n0) = D)/\((n2) = C)))/\((~(((n1) = C)/\((n1) = D)))/\((~(((n1) = C)/\((n2) = D)))/\((~(((n1) = D)/\((n2) = C)))/\((~(((n2) = C)/\((n2) = D)))/\(((n0) = D)/\(((n1) = C)/\(((n1) = D)/\((n2) = C)))))))))))->((a_select2 (rho) (n1)) = (n0)))))) zenon_H55); [ zenon_intro zenon_H57; idtac ]. % 0.19/0.50 elim zenon_H57. zenon_intro zenon_TC_dk. zenon_intro zenon_H59. % 0.19/0.50 apply (zenon_notallex_s (fun D : zenon_U => (((leq (n0) zenon_TC_dk)/\((leq (n0) D)/\((leq zenon_TC_dk (n2))/\(leq D (n2)))))->(((~(((n0) = zenon_TC_dk)/\((n1) = D)))/\((~(((n0) = zenon_TC_dk)/\((n2) = D)))/\((~(((n0) = D)/\((n2) = zenon_TC_dk)))/\((~(((n1) = zenon_TC_dk)/\((n1) = D)))/\((~(((n1) = zenon_TC_dk)/\((n2) = D)))/\((~(((n1) = D)/\((n2) = zenon_TC_dk)))/\((~(((n2) = zenon_TC_dk)/\((n2) = D)))/\(((n0) = D)/\(((n1) = zenon_TC_dk)/\(((n1) = D)/\((n2) = zenon_TC_dk)))))))))))->((a_select2 (rho) (n1)) = (n0))))) zenon_H59); [ zenon_intro zenon_H5a; idtac ]. % 0.19/0.50 elim zenon_H5a. zenon_intro zenon_TD_dn. zenon_intro zenon_H5c. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H5c). zenon_intro zenon_H5e. zenon_intro zenon_H5d. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H5d). zenon_intro zenon_H60. zenon_intro zenon_H5f. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H6c. zenon_intro zenon_H6b. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H72. zenon_intro zenon_H71. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H74. zenon_intro zenon_H73. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H66); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ]. % 0.19/0.50 exact (zenon_H76 zenon_H70). % 0.19/0.50 exact (zenon_H75 zenon_H73). % 0.19/0.50 Qed. % 0.19/0.50 % SZS output end Proof % 0.19/0.50 (* END-PROOF *) % 0.19/0.50 nodes searched: 16 % 0.19/0.50 max branch formulas: 107 % 0.19/0.50 proof nodes created: 8 % 0.19/0.50 formulas created: 1382 % 0.19/0.50 %------------------------------------------------------------------------------