%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWC203+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n012.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 : Tue Jul 19 22:29:50 EDT 2022 % Result : Theorem 35.53s 35.72s % Output : Proof 35.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SWC203+1 : TPTP v8.1.0. Released v2.4.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.32 % Computer : n012.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Sun Jun 12 17:08:26 EDT 2022 % 0.12/0.32 % CPUTime : % 35.53/35.72 (* PROOF-FOUND *) % 35.53/35.72 % SZS status Theorem % 35.53/35.72 (* BEGIN-PROOF *) % 35.53/35.72 % SZS output start Proof % 35.53/35.72 Theorem co1 : (forall U : zenon_U, ((ssList U)->(forall V : zenon_U, ((ssList V)->(forall W : zenon_U, ((ssList W)->(forall X : zenon_U, ((ssList X)->((~(V = X))\/((~(U = W))\/((~(X = W))\/((~(neq V (nil)))\/(neq U (nil)))))))))))))). % 35.53/35.72 Proof. % 35.53/35.72 assert (zenon_L1_ : (~((nil) = (nil))) -> False). % 35.53/35.72 do 0 intro. intros zenon_H60. % 35.53/35.72 apply zenon_H60. apply refl_equal. % 35.53/35.72 (* end of lemma zenon_L1_ *) % 35.53/35.72 apply NNPP. intro zenon_G. % 35.53/35.72 apply (zenon_notallex_s (fun U : zenon_U => ((ssList U)->(forall V : zenon_U, ((ssList V)->(forall W : zenon_U, ((ssList W)->(forall X : zenon_U, ((ssList X)->((~(V = X))\/((~(U = W))\/((~(X = W))\/((~(neq V (nil)))\/(neq U (nil)))))))))))))) zenon_G); [ zenon_intro zenon_H61; idtac ]. % 35.53/35.72 elim zenon_H61. zenon_intro zenon_TU_du. zenon_intro zenon_H63. % 35.53/35.72 apply (zenon_notimply_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64. % 35.53/35.72 apply (zenon_notallex_s (fun V : zenon_U => ((ssList V)->(forall W : zenon_U, ((ssList W)->(forall X : zenon_U, ((ssList X)->((~(V = X))\/((~(zenon_TU_du = W))\/((~(X = W))\/((~(neq V (nil)))\/(neq zenon_TU_du (nil)))))))))))) zenon_H64); [ zenon_intro zenon_H66; idtac ]. % 35.53/35.72 elim zenon_H66. zenon_intro zenon_TV_dz. zenon_intro zenon_H68. % 35.53/35.72 apply (zenon_notimply_s _ _ zenon_H68). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 35.53/35.72 apply (zenon_notallex_s (fun W : zenon_U => ((ssList W)->(forall X : zenon_U, ((ssList X)->((~(zenon_TV_dz = X))\/((~(zenon_TU_du = W))\/((~(X = W))\/((~(neq zenon_TV_dz (nil)))\/(neq zenon_TU_du (nil)))))))))) zenon_H69); [ zenon_intro zenon_H6b; idtac ]. % 35.53/35.72 elim zenon_H6b. zenon_intro zenon_TW_ee. zenon_intro zenon_H6d. % 35.53/35.72 apply (zenon_notimply_s _ _ zenon_H6d). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 35.53/35.72 apply (zenon_notallex_s (fun X : zenon_U => ((ssList X)->((~(zenon_TV_dz = X))\/((~(zenon_TU_du = zenon_TW_ee))\/((~(X = zenon_TW_ee))\/((~(neq zenon_TV_dz (nil)))\/(neq zenon_TU_du (nil)))))))) zenon_H6e); [ zenon_intro zenon_H70; idtac ]. % 35.53/35.72 elim zenon_H70. zenon_intro zenon_TX_ej. zenon_intro zenon_H72. % 35.53/35.72 apply (zenon_notimply_s _ _ zenon_H72). zenon_intro zenon_H74. zenon_intro zenon_H73. % 35.53/35.72 apply (zenon_notor_s _ _ zenon_H73). zenon_intro zenon_H76. zenon_intro zenon_H75. % 35.53/35.72 apply (zenon_notor_s _ _ zenon_H75). zenon_intro zenon_H78. zenon_intro zenon_H77. % 35.53/35.72 apply (zenon_notor_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 35.53/35.72 apply (zenon_notor_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b. % 35.53/35.72 apply zenon_H7c. zenon_intro zenon_H7d. % 35.53/35.72 apply zenon_H7a. zenon_intro zenon_H7e. % 35.53/35.72 apply zenon_H78. zenon_intro zenon_H7f. % 35.53/35.72 apply zenon_H76. zenon_intro zenon_H80. % 35.53/35.72 cut ((neq zenon_TV_dz (nil)) = (neq zenon_TU_du (nil))). % 35.53/35.72 intro zenon_D_pnotp. % 35.53/35.72 apply zenon_H7b. % 35.53/35.72 rewrite <- zenon_D_pnotp. % 35.53/35.72 exact zenon_H7d. % 35.53/35.72 cut (((nil) = (nil))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 35.53/35.72 cut ((zenon_TV_dz = zenon_TU_du)); [idtac | apply NNPP; zenon_intro zenon_H81]. % 35.53/35.72 congruence. % 35.53/35.72 cut ((zenon_TV_dz = zenon_TX_ej) = (zenon_TV_dz = zenon_TU_du)). % 35.53/35.72 intro zenon_D_pnotp. % 35.53/35.72 apply zenon_H81. % 35.53/35.72 rewrite <- zenon_D_pnotp. % 35.53/35.72 exact zenon_H80. % 35.53/35.72 cut ((zenon_TX_ej = zenon_TU_du)); [idtac | apply NNPP; zenon_intro zenon_H82]. % 35.53/35.72 cut ((zenon_TV_dz = zenon_TV_dz)); [idtac | apply NNPP; zenon_intro zenon_H83]. % 35.53/35.72 congruence. % 35.53/35.72 apply zenon_H83. apply refl_equal. % 35.53/35.72 generalize (ax15 zenon_TX_ej). zenon_intro zenon_H84. % 35.53/35.72 apply (zenon_imply_s _ _ zenon_H84); [ zenon_intro zenon_H86 | zenon_intro zenon_H85 ]. % 35.53/35.72 exact (zenon_H86 zenon_H74). % 35.53/35.72 generalize (zenon_H85 zenon_TX_ej). zenon_intro zenon_H87. % 35.53/35.72 apply (zenon_imply_s _ _ zenon_H87); [ zenon_intro zenon_H86 | zenon_intro zenon_H88 ]. % 35.53/35.72 exact (zenon_H86 zenon_H74). % 35.53/35.72 apply (zenon_equiv_s _ _ zenon_H88); [ zenon_intro zenon_H8c; zenon_intro zenon_H8b | zenon_intro zenon_H8a; zenon_intro zenon_H89 ]. % 35.53/35.72 cut ((zenon_TX_ej = zenon_TW_ee) = (zenon_TX_ej = zenon_TU_du)). % 35.53/35.72 intro zenon_D_pnotp. % 35.53/35.72 apply zenon_H82. % 35.53/35.72 rewrite <- zenon_D_pnotp. % 35.53/35.72 exact zenon_H7e. % 35.53/35.72 cut ((zenon_TW_ee = zenon_TU_du)); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 35.53/35.72 cut ((zenon_TX_ej = zenon_TX_ej)); [idtac | apply NNPP; zenon_intro zenon_H89]. % 35.53/35.72 congruence. % 35.53/35.72 exact (zenon_H8b zenon_H89). % 35.53/35.73 apply zenon_H8d. apply sym_equal. exact zenon_H7f. % 35.53/35.73 apply zenon_H89. apply refl_equal. % 35.53/35.73 apply zenon_H60. apply refl_equal. % 35.53/35.73 Qed. % 35.53/35.73 % SZS output end Proof % 35.53/35.73 (* END-PROOF *) % 35.53/35.73 nodes searched: 435439 % 35.53/35.73 max branch formulas: 22878 % 35.53/35.73 proof nodes created: 34876 % 35.53/35.73 formulas created: 2098298 % 35.53/35.73 %------------------------------------------------------------------------------