TSTP Solution File: SWV216+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWV216+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n010.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 23:03:20 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
% 0.03/0.12 % Problem : SWV216+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n010.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 01:59:24 EDT 2022
% 0.12/0.34 % 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_symm_0201 : (forall A : zenon_U, (forall B : zenon_U, (((leq (n0) A)/\((leq (n0) B)/\((leq A (n5))/\(leq B (n5)))))->(((~(((n0) = A)/\((n3) = B)))/\((~(((n0) = A)/\((n4) = B)))/\((~(((n0) = A)/\((n5) = B)))/\((~(((n0) = B)/\((n5) = A)))/\((~(((n1) = A)/\((n3) = B)))/\((~(((n1) = A)/\((n4) = B)))/\((~(((n1) = A)/\((n5) = B)))/\((~(((n1) = B)/\((n5) = A)))/\((~(((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)))/\(((n1) = B)/\(((n2) = A)/\(((n2) = B)/\((n4) = A)))))))))))))))))))))))))))->((n0) = (times (divide (n1) (n400)) (a_select2 (sigma) (n2)))))))).
% 0.19/0.51 Proof.
% 0.19/0.51 apply NNPP. intro zenon_G.
% 0.19/0.51 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)/\((n3) = B)))/\((~(((n0) = A)/\((n4) = B)))/\((~(((n0) = A)/\((n5) = B)))/\((~(((n0) = B)/\((n5) = A)))/\((~(((n1) = A)/\((n3) = B)))/\((~(((n1) = A)/\((n4) = B)))/\((~(((n1) = A)/\((n5) = B)))/\((~(((n1) = B)/\((n5) = A)))/\((~(((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)))/\(((n1) = B)/\(((n2) = A)/\(((n2) = B)/\((n4) = A)))))))))))))))))))))))))))->((n0) = (times (divide (n1) (n400)) (a_select2 (sigma) (n2)))))))) zenon_G); [ zenon_intro zenon_H5c; idtac ].
% 0.19/0.51 elim zenon_H5c. zenon_intro zenon_TA_dp. zenon_intro zenon_H5e.
% 0.19/0.51 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)/\((n3) = B)))/\((~(((n0) = zenon_TA_dp)/\((n4) = B)))/\((~(((n0) = zenon_TA_dp)/\((n5) = B)))/\((~(((n0) = B)/\((n5) = zenon_TA_dp)))/\((~(((n1) = zenon_TA_dp)/\((n3) = B)))/\((~(((n1) = zenon_TA_dp)/\((n4) = B)))/\((~(((n1) = zenon_TA_dp)/\((n5) = B)))/\((~(((n1) = B)/\((n5) = zenon_TA_dp)))/\((~(((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)))/\(((n1) = B)/\(((n2) = zenon_TA_dp)/\(((n2) = B)/\((n4) = zenon_TA_dp)))))))))))))))))))))))))))->((n0) = (times (divide (n1) (n400)) (a_select2 (sigma) (n2))))))) zenon_H5e); [ zenon_intro zenon_H5f; idtac ].
% 0.19/0.51 elim zenon_H5f. zenon_intro zenon_TB_ds. zenon_intro zenon_H61.
% 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H61). zenon_intro zenon_H63. zenon_intro zenon_H62.
% 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H62). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 0.19/0.51 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H67. zenon_intro zenon_H66.
% 0.19/0.51 apply (zenon_and_s _ _ zenon_H66). 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 exact (zenon_H7f zenon_H96).
% 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: 24
% 0.19/0.51 max branch formulas: 132
% 0.19/0.51 proof nodes created: 6
% 0.19/0.51 formulas created: 1594
% 0.19/0.51
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