%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV218+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n006.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 23:03:21 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 % 0.04/0.12 % Problem : SWV218+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.04/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n006.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 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 15 20:35:56 EDT 2022 % 0.12/0.34 % 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_0281 : (forall A : zenon_U, (forall B : zenon_U, (((leq (n0) A)/\((leq (n0) B)/\((leq A (n5))/\(leq B (n5)))))->(((~(((n0) = A)/\((n5) = B)))/\((~(((n0) = B)/\((n1) = A)))/\((~(((n0) = B)/\((n2) = A)))/\((~(((n0) = B)/\((n3) = A)))/\((~(((n0) = B)/\((n4) = A)))/\((~(((n0) = B)/\((n5) = A)))/\((~(((n1) = A)/\((n1) = B)))/\((~(((n1) = A)/\((n2) = B)))/\((~(((n1) = A)/\((n3) = B)))/\((~(((n1) = A)/\((n4) = B)))/\((~(((n1) = A)/\((n5) = B)))/\((~(((n1) = B)/\((n2) = A)))/\((~(((n1) = B)/\((n3) = A)))/\((~(((n1) = B)/\((n4) = A)))/\((~(((n1) = B)/\((n5) = A)))/\((~(((n2) = A)/\((n2) = B)))/\((~(((n2) = A)/\((n3) = B)))/\((~(((n2) = A)/\((n4) = B)))/\((~(((n2) = A)/\((n5) = B)))/\((~(((n2) = B)/\((n3) = A)))/\((~(((n2) = B)/\((n4) = A)))/\((~(((n2) = B)/\((n5) = A)))/\((~(((n3) = A)/\((n3) = B)))/\((~(((n3) = A)/\((n4) = B)))/\((~(((n3) = A)/\((n5) = B)))/\((~(((n3) = B)/\((n4) = A)))/\((~(((n3) = B)/\((n5) = A)))/\((~(((n4) = A)/\((n4) = B)))/\((~(((n4) = A)/\((n5) = B)))/\((~(((n4) = B)/\((n5) = A)))/\((~(((n5) = A)/\((n5) = B)))/\(((n0) = A)/\(((n4) = B)/\(((n5) = A)/\((n5) = B)))))))))))))))))))))))))))))))))))->((n0) = (times (divide (n1) (n400)) (a_select2 (sigma) (n5)))))))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (((leq (n0) A)/\((leq (n0) B)/\((leq A (n5))/\(leq B (n5)))))->(((~(((n0) = A)/\((n5) = B)))/\((~(((n0) = B)/\((n1) = A)))/\((~(((n0) = B)/\((n2) = A)))/\((~(((n0) = B)/\((n3) = A)))/\((~(((n0) = B)/\((n4) = A)))/\((~(((n0) = B)/\((n5) = A)))/\((~(((n1) = A)/\((n1) = B)))/\((~(((n1) = A)/\((n2) = B)))/\((~(((n1) = A)/\((n3) = B)))/\((~(((n1) = A)/\((n4) = B)))/\((~(((n1) = A)/\((n5) = B)))/\((~(((n1) = B)/\((n2) = A)))/\((~(((n1) = B)/\((n3) = A)))/\((~(((n1) = B)/\((n4) = A)))/\((~(((n1) = B)/\((n5) = A)))/\((~(((n2) = A)/\((n2) = B)))/\((~(((n2) = A)/\((n3) = B)))/\((~(((n2) = A)/\((n4) = B)))/\((~(((n2) = A)/\((n5) = B)))/\((~(((n2) = B)/\((n3) = A)))/\((~(((n2) = B)/\((n4) = A)))/\((~(((n2) = B)/\((n5) = A)))/\((~(((n3) = A)/\((n3) = B)))/\((~(((n3) = A)/\((n4) = B)))/\((~(((n3) = A)/\((n5) = B)))/\((~(((n3) = B)/\((n4) = A)))/\((~(((n3) = B)/\((n5) = A)))/\((~(((n4) = A)/\((n4) = B)))/\((~(((n4) = A)/\((n5) = B)))/\((~(((n4) = B)/\((n5) = A)))/\((~(((n5) = A)/\((n5) = B)))/\(((n0) = A)/\(((n4) = B)/\(((n5) = A)/\((n5) = B)))))))))))))))))))))))))))))))))))->((n0) = (times (divide (n1) (n400)) (a_select2 (sigma) (n5)))))))) zenon_G); [ zenon_intro zenon_H5c; idtac ]. % 0.19/0.50 elim zenon_H5c. zenon_intro zenon_TA_dp. zenon_intro zenon_H5e. % 0.19/0.50 apply (zenon_notallex_s (fun B : zenon_U => (((leq (n0) zenon_TA_dp)/\((leq (n0) B)/\((leq zenon_TA_dp (n5))/\(leq B (n5)))))->(((~(((n0) = zenon_TA_dp)/\((n5) = B)))/\((~(((n0) = B)/\((n1) = zenon_TA_dp)))/\((~(((n0) = B)/\((n2) = zenon_TA_dp)))/\((~(((n0) = B)/\((n3) = zenon_TA_dp)))/\((~(((n0) = B)/\((n4) = zenon_TA_dp)))/\((~(((n0) = B)/\((n5) = zenon_TA_dp)))/\((~(((n1) = zenon_TA_dp)/\((n1) = B)))/\((~(((n1) = zenon_TA_dp)/\((n2) = B)))/\((~(((n1) = zenon_TA_dp)/\((n3) = B)))/\((~(((n1) = zenon_TA_dp)/\((n4) = B)))/\((~(((n1) = zenon_TA_dp)/\((n5) = B)))/\((~(((n1) = B)/\((n2) = zenon_TA_dp)))/\((~(((n1) = B)/\((n3) = zenon_TA_dp)))/\((~(((n1) = B)/\((n4) = zenon_TA_dp)))/\((~(((n1) = B)/\((n5) = zenon_TA_dp)))/\((~(((n2) = zenon_TA_dp)/\((n2) = B)))/\((~(((n2) = zenon_TA_dp)/\((n3) = B)))/\((~(((n2) = zenon_TA_dp)/\((n4) = B)))/\((~(((n2) = zenon_TA_dp)/\((n5) = B)))/\((~(((n2) = B)/\((n3) = zenon_TA_dp)))/\((~(((n2) = B)/\((n4) = zenon_TA_dp)))/\((~(((n2) = B)/\((n5) = zenon_TA_dp)))/\((~(((n3) = zenon_TA_dp)/\((n3) = B)))/\((~(((n3) = zenon_TA_dp)/\((n4) = B)))/\((~(((n3) = zenon_TA_dp)/\((n5) = B)))/\((~(((n3) = B)/\((n4) = zenon_TA_dp)))/\((~(((n3) = B)/\((n5) = zenon_TA_dp)))/\((~(((n4) = zenon_TA_dp)/\((n4) = B)))/\((~(((n4) = zenon_TA_dp)/\((n5) = B)))/\((~(((n4) = B)/\((n5) = zenon_TA_dp)))/\((~(((n5) = zenon_TA_dp)/\((n5) = B)))/\(((n0) = zenon_TA_dp)/\(((n4) = B)/\(((n5) = zenon_TA_dp)/\((n5) = B)))))))))))))))))))))))))))))))))))->((n0) = (times (divide (n1) (n400)) (a_select2 (sigma) (n5))))))) zenon_H5e); [ zenon_intro zenon_H5f; idtac ]. % 0.19/0.50 elim zenon_H5f. zenon_intro zenon_TB_ds. zenon_intro zenon_H61. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H61). zenon_intro zenon_H63. zenon_intro zenon_H62. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H62). zenon_intro zenon_H65. zenon_intro zenon_H64. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H67. zenon_intro zenon_H66. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H69. zenon_intro zenon_H68. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H6b. zenon_intro zenon_H6a. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H6d. zenon_intro zenon_H6c. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H8f. zenon_intro zenon_H8e. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H95. zenon_intro zenon_H94. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H97. zenon_intro zenon_H96. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H99. zenon_intro zenon_H98. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H9d. zenon_intro zenon_H9c. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9f. zenon_intro zenon_H9e. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_Ha1. zenon_intro zenon_Ha0. % 0.19/0.50 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.19/0.50 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.19/0.50 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.19/0.50 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H67); [ zenon_intro zenon_Hab | zenon_intro zenon_Haa ]. % 0.19/0.50 exact (zenon_Hab zenon_Ha5). % 0.19/0.50 exact (zenon_Haa zenon_Ha8). % 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: 12 % 0.19/0.50 max branch formulas: 135 % 0.19/0.50 proof nodes created: 6 % 0.19/0.50 formulas created: 1633 % 0.19/0.50 %------------------------------------------------------------------------------