TSTP Solution File: SWV115+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : SWV115+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n032.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 23:03:00 EDT 2022
% Result : Theorem 0.15s 0.42s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV115+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.00/0.10 % Command : run_zenon %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Wed Jun 15 10:09:58 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.42 (* PROOF-FOUND *)
% 0.15/0.42 % SZS status Theorem
% 0.15/0.42 (* BEGIN-PROOF *)
% 0.15/0.42 % SZS output start Proof
% 0.15/0.42 Theorem quaternion_ds1_symm_0008 : (((leq (n0) (pv5))/\((leq (pv5) (minus (n999) (n1)))/\((forall A : zenon_U, (forall B : zenon_U, (((leq (n0) A)/\((leq (n0) B)/\((leq A (minus (n6) (n1)))/\(leq B (minus (n6) (n1))))))->((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 (minus (n3) (n1)))/\(leq D (minus (n3) (n1))))))->((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 (minus (n6) (n1)))/\(leq F (minus (n6) (n1))))))->((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E)))))/\((forall E : zenon_U, (forall F : zenon_U, (((leq (n0) E)/\((leq (n0) F)/\((leq E (minus (n6) (n1)))/\(leq F (minus (n6) (n1))))))->((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E)))))/\(forall I : zenon_U, (((leq (n0) I)/\(leq I (minus (n6) (n1))))->(forall J : zenon_U, (((leq (n0) J)/\(leq J (minus (n6) (n1))))->((a_select3 (id_ds1_filter) I J) = (a_select3 (id_ds1_filter) J I))))))))))))->((leq (n0) (pv5))/\((leq (pv5) (minus (n999) (n1)))/\((forall A : zenon_U, (forall B : zenon_U, (((leq (n0) A)/\((leq (n0) B)/\((leq A (minus (n6) (n1)))/\(leq B (minus (n6) (n1))))))->((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 (minus (n3) (n1)))/\(leq D (minus (n3) (n1))))))->((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 (minus (n6) (n1)))/\(leq F (minus (n6) (n1))))))->((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E)))))/\((forall E : zenon_U, (forall F : zenon_U, (((leq (n0) E)/\((leq (n0) F)/\((leq E (minus (n6) (n1)))/\(leq F (minus (n6) (n1))))))->((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E)))))/\(forall I : zenon_U, (((leq (n0) I)/\(leq I (minus (n6) (n1))))->(forall J : zenon_U, (((leq (n0) J)/\(leq J (minus (n6) (n1))))->((a_select3 (id_ds1_filter) I J) = (a_select3 (id_ds1_filter) J I))))))))))))).
% 0.15/0.42 Proof.
% 0.15/0.42 apply NNPP. intro zenon_G.
% 0.15/0.42 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H67. zenon_intro zenon_H66.
% 0.15/0.42 exact (zenon_H66 zenon_H67).
% 0.15/0.42 Qed.
% 0.15/0.42 % SZS output end Proof
% 0.15/0.42 (* END-PROOF *)
% 0.15/0.42 nodes searched: 59
% 0.15/0.42 max branch formulas: 120
% 0.15/0.42 proof nodes created: 13
% 0.15/0.42 formulas created: 1846
% 0.15/0.42
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