TSTP Solution File: SWV232+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% 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 :
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%----WARNING: Could not form TPTP format derivation
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%----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
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