%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWC103+1 : TPTP v8.1.0. Released v2.4.0. % 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 : Tue Jul 19 22:29:18 EDT 2022 % Result : Theorem 0.14s 0.46s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.10 % Problem : SWC103+1 : TPTP v8.1.0. Released v2.4.0. % 0.06/0.10 % Command : run_zenon %s %d % 0.10/0.29 % Computer : n032.cluster.edu % 0.10/0.29 % Model : x86_64 x86_64 % 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.29 % Memory : 8042.1875MB % 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.29 % CPULimit : 300 % 0.10/0.29 % WCLimit : 600 % 0.10/0.29 % DateTime : Sun Jun 12 07:17:25 EDT 2022 % 0.10/0.29 % CPUTime : % 0.14/0.46 (* PROOF-FOUND *) % 0.14/0.46 % SZS status Theorem % 0.14/0.46 (* BEGIN-PROOF *) % 0.14/0.46 % SZS output start Proof % 0.14/0.46 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)))\/(((~((nil) = W))/\((nil) = X))\/(((neq U (nil))/\(frontsegP V U))\/((neq X (nil))/\((~(neq W (nil)))\/(~(frontsegP X W))))))))))))))))). % 0.14/0.46 Proof. % 0.14/0.46 assert (zenon_L1_ : (~((nil) = (nil))) -> False). % 0.14/0.46 do 0 intro. intros zenon_H60. % 0.14/0.46 apply zenon_H60. apply refl_equal. % 0.14/0.46 (* end of lemma zenon_L1_ *) % 0.14/0.46 assert (zenon_L2_ : forall (zenon_TV_dw : zenon_U) (zenon_TX_dx : zenon_U), (~(neq zenon_TX_dx (nil))) -> (neq zenon_TV_dw (nil)) -> (zenon_TV_dw = zenon_TX_dx) -> False). % 0.14/0.46 do 2 intro. intros zenon_H61 zenon_H62 zenon_H63. % 0.14/0.46 cut ((neq zenon_TV_dw (nil)) = (neq zenon_TX_dx (nil))). % 0.14/0.46 intro zenon_D_pnotp. % 0.14/0.46 apply zenon_H61. % 0.14/0.46 rewrite <- zenon_D_pnotp. % 0.14/0.46 exact zenon_H62. % 0.14/0.46 cut (((nil) = (nil))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 0.14/0.46 cut ((zenon_TV_dw = zenon_TX_dx)); [idtac | apply NNPP; zenon_intro zenon_H66]. % 0.14/0.46 congruence. % 0.14/0.46 exact (zenon_H66 zenon_H63). % 0.14/0.46 apply zenon_H60. apply refl_equal. % 0.14/0.46 (* end of lemma zenon_L2_ *) % 0.14/0.46 apply NNPP. intro zenon_G. % 0.14/0.46 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)))\/(((~((nil) = W))/\((nil) = X))\/(((neq U (nil))/\(frontsegP V U))\/((neq X (nil))/\((~(neq W (nil)))\/(~(frontsegP X W))))))))))))))))) zenon_G); [ zenon_intro zenon_H67; idtac ]. % 0.14/0.46 elim zenon_H67. zenon_intro zenon_TU_ea. zenon_intro zenon_H69. % 0.14/0.46 apply (zenon_notimply_s _ _ zenon_H69). zenon_intro zenon_H6b. zenon_intro zenon_H6a. % 0.14/0.46 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_ea = W))\/((~(neq V (nil)))\/(((~((nil) = W))/\((nil) = X))\/(((neq zenon_TU_ea (nil))/\(frontsegP V zenon_TU_ea))\/((neq X (nil))/\((~(neq W (nil)))\/(~(frontsegP X W))))))))))))))) zenon_H6a); [ zenon_intro zenon_H6c; idtac ]. % 0.14/0.46 elim zenon_H6c. zenon_intro zenon_TV_dw. zenon_intro zenon_H6d. % 0.14/0.46 apply (zenon_notimply_s _ _ zenon_H6d). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.14/0.46 apply (zenon_notallex_s (fun W : zenon_U => ((ssList W)->(forall X : zenon_U, ((ssList X)->((~(zenon_TV_dw = X))\/((~(zenon_TU_ea = W))\/((~(neq zenon_TV_dw (nil)))\/(((~((nil) = W))/\((nil) = X))\/(((neq zenon_TU_ea (nil))/\(frontsegP zenon_TV_dw zenon_TU_ea))\/((neq X (nil))/\((~(neq W (nil)))\/(~(frontsegP X W))))))))))))) zenon_H6e); [ zenon_intro zenon_H70; idtac ]. % 0.14/0.46 elim zenon_H70. zenon_intro zenon_TW_ej. zenon_intro zenon_H72. % 0.14/0.46 apply (zenon_notimply_s _ _ zenon_H72). zenon_intro zenon_H74. zenon_intro zenon_H73. % 0.14/0.46 apply (zenon_notallex_s (fun X : zenon_U => ((ssList X)->((~(zenon_TV_dw = X))\/((~(zenon_TU_ea = zenon_TW_ej))\/((~(neq zenon_TV_dw (nil)))\/(((~((nil) = zenon_TW_ej))/\((nil) = X))\/(((neq zenon_TU_ea (nil))/\(frontsegP zenon_TV_dw zenon_TU_ea))\/((neq X (nil))/\((~(neq zenon_TW_ej (nil)))\/(~(frontsegP X zenon_TW_ej))))))))))) zenon_H73); [ zenon_intro zenon_H75; idtac ]. % 0.14/0.46 elim zenon_H75. zenon_intro zenon_TX_dx. zenon_intro zenon_H76. % 0.14/0.46 apply (zenon_notimply_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77. % 0.14/0.46 apply (zenon_notor_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.14/0.46 apply (zenon_notor_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b. % 0.14/0.46 apply (zenon_notor_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 0.14/0.46 apply (zenon_notor_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f. % 0.14/0.46 apply (zenon_notor_s _ _ zenon_H7f). zenon_intro zenon_H82. zenon_intro zenon_H81. % 0.14/0.46 apply zenon_H7e. zenon_intro zenon_H62. % 0.14/0.46 apply zenon_H7c. zenon_intro zenon_H83. % 0.14/0.46 apply zenon_H7a. zenon_intro zenon_H63. % 0.14/0.46 apply (zenon_notand_s _ _ zenon_H82); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ]. % 0.14/0.46 apply (zenon_notand_s _ _ zenon_H81); [ zenon_intro zenon_H61 | zenon_intro zenon_H86 ]. % 0.14/0.46 apply (zenon_L2_ zenon_TV_dw zenon_TX_dx); trivial. % 0.14/0.46 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H88. zenon_intro zenon_H87. % 0.14/0.46 apply zenon_H88. zenon_intro zenon_H89. % 0.14/0.46 cut ((neq zenon_TW_ej (nil)) = (neq zenon_TU_ea (nil))). % 0.14/0.46 intro zenon_D_pnotp. % 0.14/0.46 apply zenon_H85. % 0.14/0.46 rewrite <- zenon_D_pnotp. % 0.14/0.46 exact zenon_H89. % 0.14/0.46 cut (((nil) = (nil))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 0.14/0.46 cut ((zenon_TW_ej = zenon_TU_ea)); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 0.14/0.46 congruence. % 0.14/0.46 apply zenon_H8a. apply sym_equal. exact zenon_H83. % 0.14/0.46 apply zenon_H60. apply refl_equal. % 0.14/0.46 apply (zenon_notand_s _ _ zenon_H81); [ zenon_intro zenon_H61 | zenon_intro zenon_H86 ]. % 0.14/0.46 apply (zenon_L2_ zenon_TV_dw zenon_TX_dx); trivial. % 0.14/0.46 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H88. zenon_intro zenon_H87. % 0.14/0.46 apply zenon_H87. zenon_intro zenon_H8b. % 0.14/0.46 cut ((frontsegP zenon_TX_dx zenon_TW_ej) = (frontsegP zenon_TV_dw zenon_TU_ea)). % 0.14/0.46 intro zenon_D_pnotp. % 0.14/0.46 apply zenon_H84. % 0.14/0.46 rewrite <- zenon_D_pnotp. % 0.14/0.46 exact zenon_H8b. % 0.14/0.46 cut ((zenon_TW_ej = zenon_TU_ea)); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 0.14/0.46 cut ((zenon_TX_dx = zenon_TV_dw)); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 0.14/0.46 congruence. % 0.14/0.46 apply zenon_H8c. apply sym_equal. exact zenon_H63. % 0.14/0.46 apply zenon_H8a. apply sym_equal. exact zenon_H83. % 0.14/0.46 Qed. % 0.14/0.46 % SZS output end Proof % 0.14/0.46 (* END-PROOF *) % 0.14/0.46 nodes searched: 2737 % 0.14/0.46 max branch formulas: 993 % 0.14/0.46 proof nodes created: 56 % 0.14/0.46 formulas created: 14700 % 0.14/0.46 %------------------------------------------------------------------------------