%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV116+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 23:03:01 EDT 2022 % Result : Theorem 0.21s 0.52s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWV116+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n026.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Tue Jun 14 19:50:51 EDT 2022 % 0.14/0.35 % CPUTime : % 0.21/0.52 (* PROOF-FOUND *) % 0.21/0.52 % SZS status Theorem % 0.21/0.52 (* BEGIN-PROOF *) % 0.21/0.52 % SZS output start Proof % 0.21/0.52 Theorem quaternion_ds1_symm_0009 : (((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))))))))))))->((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)))))))). % 0.21/0.52 Proof. % 0.21/0.52 apply NNPP. intro zenon_G. % 0.21/0.52 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H67. zenon_intro zenon_H66. % 0.21/0.52 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68. % 0.21/0.52 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H6b. zenon_intro zenon_H6a. % 0.21/0.52 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H6d. zenon_intro zenon_H6c. % 0.21/0.52 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.21/0.52 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.21/0.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.21/0.52 apply (zenon_notand_s _ _ zenon_H66); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 0.21/0.52 exact (zenon_H74 zenon_H6d). % 0.21/0.52 apply (zenon_notand_s _ _ zenon_H73); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ]. % 0.21/0.52 exact (zenon_H76 zenon_H6f). % 0.21/0.52 exact (zenon_H75 zenon_H71). % 0.21/0.52 Qed. % 0.21/0.52 % SZS output end Proof % 0.21/0.52 (* END-PROOF *) % 0.21/0.52 nodes searched: 34 % 0.21/0.52 max branch formulas: 119 % 0.21/0.52 proof nodes created: 5 % 0.21/0.52 formulas created: 1561 % 0.21/0.52 %------------------------------------------------------------------------------