TSTP Solution File: SWC121+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWC121+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n015.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 22:29:24 EDT 2022
% Result : Theorem 0.42s 0.59s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC121+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n015.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 06:20:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/0.59 (* PROOF-FOUND *)
% 0.42/0.59 % SZS status Theorem
% 0.42/0.59 (* BEGIN-PROOF *)
% 0.42/0.59 % SZS output start Proof
% 0.42/0.59 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)))\/((~(neq W (nil)))\/((~(segmentP X W))\/((neq U (nil))/\(segmentP V U)))))/\((~(neq V (nil)))\/(neq X (nil)))))))))))))).
% 0.42/0.59 Proof.
% 0.42/0.59 assert (zenon_L1_ : (~((nil) = (nil))) -> False).
% 0.42/0.59 do 0 intro. intros zenon_H60.
% 0.42/0.59 apply zenon_H60. apply refl_equal.
% 0.42/0.59 (* end of lemma zenon_L1_ *)
% 0.42/0.59 apply NNPP. intro zenon_G.
% 0.42/0.59 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)))\/((~(neq W (nil)))\/((~(segmentP X W))\/((neq U (nil))/\(segmentP V U)))))/\((~(neq V (nil)))\/(neq X (nil)))))))))))))) zenon_G); [ zenon_intro zenon_H61; idtac ].
% 0.42/0.59 elim zenon_H61. zenon_intro zenon_TU_du. zenon_intro zenon_H63.
% 0.42/0.59 apply (zenon_notimply_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 0.42/0.59 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))\/(((~(neq V (nil)))\/((~(neq W (nil)))\/((~(segmentP X W))\/((neq zenon_TU_du (nil))/\(segmentP V zenon_TU_du)))))/\((~(neq V (nil)))\/(neq X (nil)))))))))))) zenon_H64); [ zenon_intro zenon_H66; idtac ].
% 0.42/0.59 elim zenon_H66. zenon_intro zenon_TV_dz. zenon_intro zenon_H68.
% 0.42/0.59 apply (zenon_notimply_s _ _ zenon_H68). zenon_intro zenon_H6a. zenon_intro zenon_H69.
% 0.42/0.59 apply (zenon_notallex_s (fun W : zenon_U => ((ssList W)->(forall X : zenon_U, ((ssList X)->((~(zenon_TV_dz = X))\/((~(zenon_TU_du = W))\/(((~(neq zenon_TV_dz (nil)))\/((~(neq W (nil)))\/((~(segmentP X W))\/((neq zenon_TU_du (nil))/\(segmentP zenon_TV_dz zenon_TU_du)))))/\((~(neq zenon_TV_dz (nil)))\/(neq X (nil)))))))))) zenon_H69); [ zenon_intro zenon_H6b; idtac ].
% 0.42/0.59 elim zenon_H6b. zenon_intro zenon_TW_ee. zenon_intro zenon_H6d.
% 0.42/0.59 apply (zenon_notimply_s _ _ zenon_H6d). zenon_intro zenon_H6f. zenon_intro zenon_H6e.
% 0.42/0.59 apply (zenon_notallex_s (fun X : zenon_U => ((ssList X)->((~(zenon_TV_dz = X))\/((~(zenon_TU_du = zenon_TW_ee))\/(((~(neq zenon_TV_dz (nil)))\/((~(neq zenon_TW_ee (nil)))\/((~(segmentP X zenon_TW_ee))\/((neq zenon_TU_du (nil))/\(segmentP zenon_TV_dz zenon_TU_du)))))/\((~(neq zenon_TV_dz (nil)))\/(neq X (nil)))))))) zenon_H6e); [ zenon_intro zenon_H70; idtac ].
% 0.42/0.59 elim zenon_H70. zenon_intro zenon_TX_ej. zenon_intro zenon_H72.
% 0.42/0.59 apply (zenon_notimply_s _ _ zenon_H72). zenon_intro zenon_H74. zenon_intro zenon_H73.
% 0.42/0.59 apply (zenon_notor_s _ _ zenon_H73). zenon_intro zenon_H76. zenon_intro zenon_H75.
% 0.42/0.59 apply (zenon_notor_s _ _ zenon_H75). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 0.42/0.59 apply zenon_H78. zenon_intro zenon_H79.
% 0.42/0.59 apply zenon_H76. zenon_intro zenon_H7a.
% 0.42/0.59 apply (zenon_notand_s _ _ zenon_H77); [ zenon_intro zenon_H7c | zenon_intro zenon_H7b ].
% 0.42/0.59 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 0.42/0.59 apply (zenon_notor_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f.
% 0.42/0.59 apply (zenon_notor_s _ _ zenon_H7f). zenon_intro zenon_H82. zenon_intro zenon_H81.
% 0.42/0.59 apply zenon_H82. zenon_intro zenon_H83.
% 0.42/0.59 apply zenon_H80. zenon_intro zenon_H84.
% 0.42/0.59 apply (zenon_notand_s _ _ zenon_H81); [ zenon_intro zenon_H86 | zenon_intro zenon_H85 ].
% 0.42/0.59 cut ((neq zenon_TW_ee (nil)) = (neq zenon_TU_du (nil))).
% 0.42/0.59 intro zenon_D_pnotp.
% 0.42/0.59 apply zenon_H86.
% 0.42/0.59 rewrite <- zenon_D_pnotp.
% 0.42/0.59 exact zenon_H84.
% 0.42/0.59 cut (((nil) = (nil))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 0.42/0.59 cut ((zenon_TW_ee = zenon_TU_du)); [idtac | apply NNPP; zenon_intro zenon_H87].
% 0.42/0.59 congruence.
% 0.42/0.59 apply zenon_H87. apply sym_equal. exact zenon_H79.
% 0.42/0.59 apply zenon_H60. apply refl_equal.
% 0.42/0.59 cut ((segmentP zenon_TX_ej zenon_TW_ee) = (segmentP zenon_TV_dz zenon_TU_du)).
% 0.42/0.59 intro zenon_D_pnotp.
% 0.42/0.59 apply zenon_H85.
% 0.42/0.59 rewrite <- zenon_D_pnotp.
% 0.42/0.59 exact zenon_H83.
% 0.42/0.59 cut ((zenon_TW_ee = zenon_TU_du)); [idtac | apply NNPP; zenon_intro zenon_H87].
% 0.42/0.59 cut ((zenon_TX_ej = zenon_TV_dz)); [idtac | apply NNPP; zenon_intro zenon_H88].
% 0.42/0.59 congruence.
% 0.42/0.59 apply zenon_H88. apply sym_equal. exact zenon_H7a.
% 0.42/0.59 apply zenon_H87. apply sym_equal. exact zenon_H79.
% 0.42/0.59 apply (zenon_notor_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H89.
% 0.42/0.59 apply zenon_H7e. zenon_intro zenon_H8a.
% 0.42/0.59 cut ((neq zenon_TV_dz (nil)) = (neq zenon_TX_ej (nil))).
% 0.42/0.59 intro zenon_D_pnotp.
% 0.42/0.59 apply zenon_H89.
% 0.42/0.59 rewrite <- zenon_D_pnotp.
% 0.42/0.59 exact zenon_H8a.
% 0.42/0.59 cut (((nil) = (nil))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 0.42/0.59 cut ((zenon_TV_dz = zenon_TX_ej)); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 0.42/0.59 congruence.
% 0.42/0.59 exact (zenon_H8b zenon_H7a).
% 0.42/0.59 apply zenon_H60. apply refl_equal.
% 0.42/0.59 Qed.
% 0.42/0.59 % SZS output end Proof
% 0.42/0.59 (* END-PROOF *)
% 0.42/0.59 nodes searched: 2730
% 0.42/0.59 max branch formulas: 990
% 0.42/0.59 proof nodes created: 51
% 0.42/0.59 formulas created: 14696
% 0.42/0.59
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