%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWC255+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 22:30:05 EDT 2022 % Result : Theorem 0.16s 0.49s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.10 % Problem : SWC255+1 : TPTP v8.1.0. Released v2.4.0. % 0.06/0.11 % Command : run_zenon %s %d % 0.10/0.31 % Computer : n029.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 600 % 0.10/0.31 % DateTime : Sun Jun 12 03:18:24 EDT 2022 % 0.10/0.31 % CPUTime : % 0.16/0.49 (* PROOF-FOUND *) % 0.16/0.49 % SZS status Theorem % 0.16/0.49 (* BEGIN-PROOF *) % 0.16/0.49 % SZS output start Proof % 0.16/0.49 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))\/(((~(neq V (nil)))\/((~(singletonP W))\/(singletonP U)))/\((~(neq V (nil)))\/(neq X (nil)))))))))))))). % 0.16/0.49 Proof. % 0.16/0.49 apply NNPP. intro zenon_G. % 0.16/0.49 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))\/(((~(neq V (nil)))\/((~(singletonP W))\/(singletonP U)))/\((~(neq V (nil)))\/(neq X (nil)))))))))))))) zenon_G); [ zenon_intro zenon_H60; idtac ]. % 0.16/0.49 elim zenon_H60. zenon_intro zenon_TU_dt. zenon_intro zenon_H62. % 0.16/0.49 apply (zenon_notimply_s _ _ zenon_H62). zenon_intro zenon_H64. zenon_intro zenon_H63. % 0.16/0.49 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_dt = W))\/(((~(neq V (nil)))\/((~(singletonP W))\/(singletonP zenon_TU_dt)))/\((~(neq V (nil)))\/(neq X (nil)))))))))))) zenon_H63); [ zenon_intro zenon_H65; idtac ]. % 0.16/0.49 elim zenon_H65. zenon_intro zenon_TV_dy. zenon_intro zenon_H67. % 0.16/0.49 apply (zenon_notimply_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68. % 0.16/0.49 apply (zenon_notallex_s (fun W : zenon_U => ((ssList W)->(forall X : zenon_U, ((ssList X)->((~(zenon_TV_dy = X))\/((~(zenon_TU_dt = W))\/(((~(neq zenon_TV_dy (nil)))\/((~(singletonP W))\/(singletonP zenon_TU_dt)))/\((~(neq zenon_TV_dy (nil)))\/(neq X (nil)))))))))) zenon_H68); [ zenon_intro zenon_H6a; idtac ]. % 0.16/0.49 elim zenon_H6a. zenon_intro zenon_TW_ed. zenon_intro zenon_H6c. % 0.16/0.49 apply (zenon_notimply_s _ _ zenon_H6c). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 0.16/0.49 apply (zenon_notallex_s (fun X : zenon_U => ((ssList X)->((~(zenon_TV_dy = X))\/((~(zenon_TU_dt = zenon_TW_ed))\/(((~(neq zenon_TV_dy (nil)))\/((~(singletonP zenon_TW_ed))\/(singletonP zenon_TU_dt)))/\((~(neq zenon_TV_dy (nil)))\/(neq X (nil)))))))) zenon_H6d); [ zenon_intro zenon_H6f; idtac ]. % 0.16/0.49 elim zenon_H6f. zenon_intro zenon_TX_ei. zenon_intro zenon_H71. % 0.16/0.49 apply (zenon_notimply_s _ _ zenon_H71). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.16/0.49 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.16/0.49 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.16/0.49 apply zenon_H77. zenon_intro zenon_H78. % 0.16/0.49 apply zenon_H75. zenon_intro zenon_H79. % 0.16/0.49 apply (zenon_notand_s _ _ zenon_H76); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 0.16/0.49 apply (zenon_notor_s _ _ zenon_H7b). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.16/0.49 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.16/0.49 apply zenon_H7f. zenon_intro zenon_H80. % 0.16/0.49 cut ((singletonP zenon_TW_ed) = (singletonP zenon_TU_dt)). % 0.16/0.49 intro zenon_D_pnotp. % 0.16/0.49 apply zenon_H7e. % 0.16/0.49 rewrite <- zenon_D_pnotp. % 0.16/0.49 exact zenon_H80. % 0.16/0.49 cut ((zenon_TW_ed = zenon_TU_dt)); [idtac | apply NNPP; zenon_intro zenon_H81]. % 0.16/0.49 congruence. % 0.16/0.49 apply zenon_H81. apply sym_equal. exact zenon_H78. % 0.16/0.49 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H82. % 0.16/0.49 apply zenon_H7d. zenon_intro zenon_H83. % 0.16/0.49 cut ((neq zenon_TV_dy (nil)) = (neq zenon_TX_ei (nil))). % 0.16/0.49 intro zenon_D_pnotp. % 0.16/0.49 apply zenon_H82. % 0.16/0.49 rewrite <- zenon_D_pnotp. % 0.16/0.49 exact zenon_H83. % 0.16/0.49 cut (((nil) = (nil))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 0.16/0.49 cut ((zenon_TV_dy = zenon_TX_ei)); [idtac | apply NNPP; zenon_intro zenon_H85]. % 0.16/0.49 congruence. % 0.16/0.49 exact (zenon_H85 zenon_H79). % 0.16/0.49 apply zenon_H84. apply refl_equal. % 0.16/0.49 Qed. % 0.16/0.49 % SZS output end Proof % 0.16/0.49 (* END-PROOF *) % 0.16/0.49 nodes searched: 1813 % 0.16/0.49 max branch formulas: 975 % 0.16/0.49 proof nodes created: 39 % 0.16/0.49 formulas created: 12215 % 0.16/0.49 %------------------------------------------------------------------------------