%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWC035+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 22:28:58 EDT 2022 % Result : Theorem 1.74s 1.98s % Output : Proof 1.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWC035+1 : TPTP v8.1.0. Released v2.4.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n021.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jun 12 23:23:41 EDT 2022 % 0.12/0.33 % CPUTime : % 1.74/1.98 (* PROOF-FOUND *) % 1.74/1.98 % SZS status Theorem % 1.74/1.98 (* BEGIN-PROOF *) % 1.74/1.98 % SZS output start Proof % 1.74/1.98 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)->((~((nil) = V))\/((~(V = X))\/((~(U = W))\/((~(X = W))\/((nil) = U))))))))))))). % 1.74/1.98 Proof. % 1.74/1.98 assert (zenon_L1_ : (~((nil) = (nil))) -> False). % 1.74/1.98 do 0 intro. intros zenon_H60. % 1.74/1.98 apply zenon_H60. apply refl_equal. % 1.74/1.98 (* end of lemma zenon_L1_ *) % 1.74/1.98 apply NNPP. intro zenon_G. % 1.74/1.98 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)->((~((nil) = V))\/((~(V = X))\/((~(U = W))\/((~(X = W))\/((nil) = U))))))))))))) zenon_G); [ zenon_intro zenon_H61; idtac ]. % 1.74/1.98 elim zenon_H61. zenon_intro zenon_TU_du. zenon_intro zenon_H63. % 1.74/1.98 apply (zenon_notimply_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64. % 1.74/1.98 apply (zenon_notallex_s (fun V : zenon_U => ((ssList V)->(forall W : zenon_U, ((ssList W)->(forall X : zenon_U, ((ssList X)->((~((nil) = V))\/((~(V = X))\/((~(zenon_TU_du = W))\/((~(X = W))\/((nil) = zenon_TU_du))))))))))) zenon_H64); [ zenon_intro zenon_H66; idtac ]. % 1.74/1.98 elim zenon_H66. zenon_intro zenon_TV_dz. zenon_intro zenon_H68. % 1.74/1.98 apply (zenon_notimply_s _ _ zenon_H68). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 1.74/1.98 apply (zenon_notallex_s (fun W : zenon_U => ((ssList W)->(forall X : zenon_U, ((ssList X)->((~((nil) = zenon_TV_dz))\/((~(zenon_TV_dz = X))\/((~(zenon_TU_du = W))\/((~(X = W))\/((nil) = zenon_TU_du))))))))) zenon_H69); [ zenon_intro zenon_H6b; idtac ]. % 1.74/1.98 elim zenon_H6b. zenon_intro zenon_TW_ee. zenon_intro zenon_H6d. % 1.74/1.98 apply (zenon_notimply_s _ _ zenon_H6d). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 1.74/1.98 apply (zenon_notallex_s (fun X : zenon_U => ((ssList X)->((~((nil) = zenon_TV_dz))\/((~(zenon_TV_dz = X))\/((~(zenon_TU_du = zenon_TW_ee))\/((~(X = zenon_TW_ee))\/((nil) = zenon_TU_du))))))) zenon_H6e); [ zenon_intro zenon_H70; idtac ]. % 1.74/1.98 elim zenon_H70. zenon_intro zenon_TX_ej. zenon_intro zenon_H72. % 1.74/1.98 apply (zenon_notimply_s _ _ zenon_H72). zenon_intro zenon_H74. zenon_intro zenon_H73. % 1.74/1.98 apply (zenon_notor_s _ _ zenon_H73). zenon_intro zenon_H76. zenon_intro zenon_H75. % 1.74/1.98 apply (zenon_notor_s _ _ zenon_H75). zenon_intro zenon_H78. zenon_intro zenon_H77. % 1.74/1.98 apply (zenon_notor_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.74/1.98 apply (zenon_notor_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b. % 1.74/1.98 apply zenon_H7c. zenon_intro zenon_H7d. % 1.74/1.98 apply zenon_H7a. zenon_intro zenon_H7e. % 1.74/1.98 apply zenon_H78. zenon_intro zenon_H7f. % 1.74/1.98 apply zenon_H76. zenon_intro zenon_H80. % 1.74/1.98 elim (classic (zenon_TU_du = zenon_TU_du)); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ]. % 1.74/1.98 cut ((zenon_TU_du = zenon_TU_du) = ((nil) = zenon_TU_du)). % 1.74/1.98 intro zenon_D_pnotp. % 1.74/1.98 apply zenon_H7b. % 1.74/1.98 rewrite <- zenon_D_pnotp. % 1.74/1.98 exact zenon_H81. % 1.74/1.98 cut ((zenon_TU_du = zenon_TU_du)); [idtac | apply NNPP; zenon_intro zenon_H82]. % 1.74/1.98 cut ((zenon_TU_du = (nil))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 1.74/1.98 congruence. % 1.74/1.98 cut ((zenon_TU_du = zenon_TW_ee) = (zenon_TU_du = (nil))). % 1.74/1.98 intro zenon_D_pnotp. % 1.74/1.98 apply zenon_H83. % 1.74/1.98 rewrite <- zenon_D_pnotp. % 1.74/1.98 exact zenon_H7e. % 1.74/1.98 cut ((zenon_TW_ee = (nil))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 1.74/1.98 cut ((zenon_TU_du = zenon_TU_du)); [idtac | apply NNPP; zenon_intro zenon_H82]. % 1.74/1.98 congruence. % 1.74/1.98 apply zenon_H82. apply refl_equal. % 1.74/1.98 elim (classic ((nil) = (nil))); [ zenon_intro zenon_H85 | zenon_intro zenon_H60 ]. % 1.74/1.98 cut (((nil) = (nil)) = (zenon_TW_ee = (nil))). % 1.74/1.98 intro zenon_D_pnotp. % 1.74/1.98 apply zenon_H84. % 1.74/1.98 rewrite <- zenon_D_pnotp. % 1.74/1.98 exact zenon_H85. % 1.74/1.98 cut (((nil) = (nil))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 1.74/1.98 cut (((nil) = zenon_TW_ee)); [idtac | apply NNPP; zenon_intro zenon_H86]. % 1.74/1.98 congruence. % 1.74/1.98 cut ((zenon_TX_ej = zenon_TW_ee) = ((nil) = zenon_TW_ee)). % 1.74/1.98 intro zenon_D_pnotp. % 1.74/1.98 apply zenon_H86. % 1.74/1.98 rewrite <- zenon_D_pnotp. % 1.74/1.98 exact zenon_H7d. % 1.74/1.98 cut ((zenon_TW_ee = zenon_TW_ee)); [idtac | apply NNPP; zenon_intro zenon_H87]. % 1.74/1.98 cut ((zenon_TX_ej = (nil))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 1.74/1.98 congruence. % 1.74/1.98 elim (classic ((nil) = (nil))); [ zenon_intro zenon_H85 | zenon_intro zenon_H60 ]. % 1.74/1.98 cut (((nil) = (nil)) = (zenon_TX_ej = (nil))). % 1.74/1.98 intro zenon_D_pnotp. % 1.74/1.98 apply zenon_H88. % 1.74/1.98 rewrite <- zenon_D_pnotp. % 1.74/1.98 exact zenon_H85. % 1.74/1.98 cut (((nil) = (nil))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 1.74/1.98 cut (((nil) = zenon_TX_ej)); [idtac | apply NNPP; zenon_intro zenon_H89]. % 1.74/1.98 congruence. % 1.74/1.98 cut (((nil) = zenon_TV_dz) = ((nil) = zenon_TX_ej)). % 1.74/1.98 intro zenon_D_pnotp. % 1.74/1.98 apply zenon_H89. % 1.74/1.98 rewrite <- zenon_D_pnotp. % 1.74/1.98 exact zenon_H80. % 1.74/1.98 cut ((zenon_TV_dz = zenon_TX_ej)); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 1.74/1.98 cut (((nil) = (nil))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 1.74/1.98 congruence. % 1.74/1.98 apply zenon_H60. apply refl_equal. % 1.74/1.98 exact (zenon_H8a zenon_H7f). % 1.74/1.98 apply zenon_H60. apply refl_equal. % 1.74/1.98 apply zenon_H60. apply refl_equal. % 1.74/1.98 apply zenon_H87. apply refl_equal. % 1.74/1.98 apply zenon_H60. apply refl_equal. % 1.74/1.98 apply zenon_H60. apply refl_equal. % 1.74/1.98 apply zenon_H82. apply refl_equal. % 1.74/1.98 apply zenon_H82. apply refl_equal. % 1.74/1.98 Qed. % 1.74/1.98 % SZS output end Proof % 1.74/1.98 (* END-PROOF *) % 1.74/1.98 nodes searched: 25905 % 1.74/1.98 max branch formulas: 6082 % 1.74/1.98 proof nodes created: 2440 % 1.74/1.98 formulas created: 158473 % 1.74/1.98 %------------------------------------------------------------------------------