TSTP Solution File: SWV229+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWV229+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n026.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 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV229+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.34 % CPULimit : 300
% 0.20/0.34 % WCLimit : 600
% 0.20/0.34 % DateTime : Tue Jun 14 23:52:37 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.51 (* PROOF-FOUND *)
% 0.20/0.51 % SZS status Theorem
% 0.20/0.51 (* BEGIN-PROOF *)
% 0.20/0.51 % SZS output start Proof
% 0.20/0.51 Theorem quaternion_ds1_symm_0721 : (((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)))))->((a_select3 (r_ds1_filter) C D) = (a_select3 (r_ds1_filter) D C))))))->(forall E : zenon_U, (forall F : zenon_U, (((leq (n0) E)/\((leq (n0) F)/\((leq E (n5))/\(leq F (n5)))))->(((~(((n0) = E)/\((n5) = F)))/\((~(((n0) = F)/\((n2) = E)))/\((~(((n0) = F)/\((n3) = E)))/\((~(((n0) = F)/\((n4) = E)))/\((~(((n0) = F)/\((n5) = E)))/\((~(((n1) = E)/\((n2) = F)))/\((~(((n1) = E)/\((n3) = F)))/\((~(((n1) = E)/\((n4) = F)))/\((~(((n1) = E)/\((n5) = F)))/\((~(((n1) = F)/\((n2) = E)))/\((~(((n1) = F)/\((n3) = E)))/\((~(((n1) = F)/\((n4) = E)))/\((~(((n1) = F)/\((n5) = E)))/\((~(((n2) = E)/\((n2) = F)))/\((~(((n2) = E)/\((n3) = F)))/\((~(((n2) = E)/\((n4) = F)))/\((~(((n2) = E)/\((n5) = F)))/\((~(((n2) = F)/\((n3) = E)))/\((~(((n2) = F)/\((n4) = E)))/\((~(((n2) = F)/\((n5) = E)))/\((~(((n3) = E)/\((n3) = F)))/\((~(((n3) = E)/\((n4) = F)))/\((~(((n3) = E)/\((n5) = F)))/\((~(((n3) = F)/\((n4) = E)))/\((~(((n3) = F)/\((n5) = E)))/\((~(((n4) = E)/\((n4) = F)))/\((~(((n4) = E)/\((n5) = F)))/\((~(((n4) = F)/\((n5) = E)))/\((~(((n5) = E)/\((n5) = F)))/\(((n1) = E)/\(((n1) = F)/\(((n4) = F)/\((n5) = E)))))))))))))))))))))))))))))))))->((a_select2 (xinit_noise) (n1)) = (n0))))))).
% 0.20/0.51 Proof.
% 0.20/0.51 apply NNPP. intro zenon_G.
% 0.20/0.51 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 0.20/0.51 apply (zenon_notallex_s (fun E : zenon_U => (forall F : zenon_U, (((leq (n0) E)/\((leq (n0) F)/\((leq E (n5))/\(leq F (n5)))))->(((~(((n0) = E)/\((n5) = F)))/\((~(((n0) = F)/\((n2) = E)))/\((~(((n0) = F)/\((n3) = E)))/\((~(((n0) = F)/\((n4) = E)))/\((~(((n0) = F)/\((n5) = E)))/\((~(((n1) = E)/\((n2) = F)))/\((~(((n1) = E)/\((n3) = F)))/\((~(((n1) = E)/\((n4) = F)))/\((~(((n1) = E)/\((n5) = F)))/\((~(((n1) = F)/\((n2) = E)))/\((~(((n1) = F)/\((n3) = E)))/\((~(((n1) = F)/\((n4) = E)))/\((~(((n1) = F)/\((n5) = E)))/\((~(((n2) = E)/\((n2) = F)))/\((~(((n2) = E)/\((n3) = F)))/\((~(((n2) = E)/\((n4) = F)))/\((~(((n2) = E)/\((n5) = F)))/\((~(((n2) = F)/\((n3) = E)))/\((~(((n2) = F)/\((n4) = E)))/\((~(((n2) = F)/\((n5) = E)))/\((~(((n3) = E)/\((n3) = F)))/\((~(((n3) = E)/\((n4) = F)))/\((~(((n3) = E)/\((n5) = F)))/\((~(((n3) = F)/\((n4) = E)))/\((~(((n3) = F)/\((n5) = E)))/\((~(((n4) = E)/\((n4) = F)))/\((~(((n4) = E)/\((n5) = F)))/\((~(((n4) = F)/\((n5) = E)))/\((~(((n5) = E)/\((n5) = F)))/\(((n1) = E)/\(((n1) = F)/\(((n4) = F)/\((n5) = E)))))))))))))))))))))))))))))))))->((a_select2 (xinit_noise) (n1)) = (n0)))))) zenon_H55); [ zenon_intro zenon_H57; idtac ].
% 0.20/0.51 elim zenon_H57. zenon_intro zenon_TE_dk. zenon_intro zenon_H59.
% 0.20/0.51 apply (zenon_notallex_s (fun F : zenon_U => (((leq (n0) zenon_TE_dk)/\((leq (n0) F)/\((leq zenon_TE_dk (n5))/\(leq F (n5)))))->(((~(((n0) = zenon_TE_dk)/\((n5) = F)))/\((~(((n0) = F)/\((n2) = zenon_TE_dk)))/\((~(((n0) = F)/\((n3) = zenon_TE_dk)))/\((~(((n0) = F)/\((n4) = zenon_TE_dk)))/\((~(((n0) = F)/\((n5) = zenon_TE_dk)))/\((~(((n1) = zenon_TE_dk)/\((n2) = F)))/\((~(((n1) = zenon_TE_dk)/\((n3) = F)))/\((~(((n1) = zenon_TE_dk)/\((n4) = F)))/\((~(((n1) = zenon_TE_dk)/\((n5) = F)))/\((~(((n1) = F)/\((n2) = zenon_TE_dk)))/\((~(((n1) = F)/\((n3) = zenon_TE_dk)))/\((~(((n1) = F)/\((n4) = zenon_TE_dk)))/\((~(((n1) = F)/\((n5) = zenon_TE_dk)))/\((~(((n2) = zenon_TE_dk)/\((n2) = F)))/\((~(((n2) = zenon_TE_dk)/\((n3) = F)))/\((~(((n2) = zenon_TE_dk)/\((n4) = F)))/\((~(((n2) = zenon_TE_dk)/\((n5) = F)))/\((~(((n2) = F)/\((n3) = zenon_TE_dk)))/\((~(((n2) = F)/\((n4) = zenon_TE_dk)))/\((~(((n2) = F)/\((n5) = zenon_TE_dk)))/\((~(((n3) = zenon_TE_dk)/\((n3) = F)))/\((~(((n3) = zenon_TE_dk)/\((n4) = F)))/\((~(((n3) = zenon_TE_dk)/\((n5) = F)))/\((~(((n3) = F)/\((n4) = zenon_TE_dk)))/\((~(((n3) = F)/\((n5) = zenon_TE_dk)))/\((~(((n4) = zenon_TE_dk)/\((n4) = F)))/\((~(((n4) = zenon_TE_dk)/\((n5) = F)))/\((~(((n4) = F)/\((n5) = zenon_TE_dk)))/\((~(((n5) = zenon_TE_dk)/\((n5) = F)))/\(((n1) = zenon_TE_dk)/\(((n1) = F)/\(((n4) = F)/\((n5) = zenon_TE_dk)))))))))))))))))))))))))))))))))->((a_select2 (xinit_noise) (n1)) = (n0))))) zenon_H59); [ zenon_intro zenon_H5a; idtac ].
% 0.20/0.51 elim zenon_H5a. zenon_intro zenon_TF_dn. zenon_intro zenon_H5c.
% 0.20/0.51 apply (zenon_notimply_s _ _ zenon_H5c). zenon_intro zenon_H5e. zenon_intro zenon_H5d.
% 0.20/0.51 apply (zenon_notimply_s _ _ zenon_H5d). zenon_intro zenon_H60. zenon_intro zenon_H5f.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H66. zenon_intro zenon_H65.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H6c. zenon_intro zenon_H6b.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H6e. zenon_intro zenon_H6d.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H72. zenon_intro zenon_H71.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H74. zenon_intro zenon_H73.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H76. zenon_intro zenon_H75.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H82. zenon_intro zenon_H81.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H84. zenon_intro zenon_H83.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H86. zenon_intro zenon_H85.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H88. zenon_intro zenon_H87.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H8a. zenon_intro zenon_H89.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H8c. zenon_intro zenon_H8b.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H8e. zenon_intro zenon_H8d.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H90. zenon_intro zenon_H8f.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H92. zenon_intro zenon_H91.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H94. zenon_intro zenon_H93.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H98. zenon_intro zenon_H97.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f.
% 0.20/0.51 apply (zenon_notand_s _ _ zenon_H70); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ].
% 0.20/0.51 exact (zenon_Ha2 zenon_H9c).
% 0.20/0.51 exact (zenon_Ha1 zenon_Ha0).
% 0.20/0.51 Qed.
% 0.20/0.51 % SZS output end Proof
% 0.20/0.51 (* END-PROOF *)
% 0.20/0.51 nodes searched: 21
% 0.20/0.51 max branch formulas: 136
% 0.20/0.51 proof nodes created: 8
% 0.20/0.51 formulas created: 1724
% 0.20/0.51
%------------------------------------------------------------------------------