%------------------------------------------------------------------------------ % 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 : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----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 %------------------------------------------------------------------------------