TSTP Solution File: SWC385+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWC385+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n005.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 22:30:45 EDT 2022
% Result : Theorem 0.18s 0.57s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC385+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n005.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 14:21:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.57 (* PROOF-FOUND *)
% 0.18/0.57 % SZS status Theorem
% 0.18/0.57 (* BEGIN-PROOF *)
% 0.18/0.57 % SZS output start Proof
% 0.18/0.57 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)))\/((~(segmentP X W))\/(((~(singletonP W))/\(neq X (nil)))\/((singletonP U)/\(segmentP V U))))))))))))))).
% 0.18/0.57 Proof.
% 0.18/0.57 apply NNPP. intro zenon_G.
% 0.18/0.57 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)))\/((~(segmentP X W))\/(((~(singletonP W))/\(neq X (nil)))\/((singletonP U)/\(segmentP V U))))))))))))))) zenon_G); [ zenon_intro zenon_H60; idtac ].
% 0.18/0.57 elim zenon_H60. zenon_intro zenon_TU_dt. zenon_intro zenon_H62.
% 0.18/0.57 apply (zenon_notimply_s _ _ zenon_H62). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 0.18/0.57 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)))\/((~(segmentP X W))\/(((~(singletonP W))/\(neq X (nil)))\/((singletonP zenon_TU_dt)/\(segmentP V zenon_TU_dt))))))))))))) zenon_H63); [ zenon_intro zenon_H65; idtac ].
% 0.18/0.57 elim zenon_H65. zenon_intro zenon_TV_dy. zenon_intro zenon_H67.
% 0.18/0.57 apply (zenon_notimply_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68.
% 0.18/0.57 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)))\/((~(segmentP X W))\/(((~(singletonP W))/\(neq X (nil)))\/((singletonP zenon_TU_dt)/\(segmentP zenon_TV_dy zenon_TU_dt))))))))))) zenon_H68); [ zenon_intro zenon_H6a; idtac ].
% 0.18/0.57 elim zenon_H6a. zenon_intro zenon_TW_ed. zenon_intro zenon_H6c.
% 0.18/0.57 apply (zenon_notimply_s _ _ zenon_H6c). zenon_intro zenon_H6e. zenon_intro zenon_H6d.
% 0.18/0.57 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)))\/((~(segmentP X zenon_TW_ed))\/(((~(singletonP zenon_TW_ed))/\(neq X (nil)))\/((singletonP zenon_TU_dt)/\(segmentP zenon_TV_dy zenon_TU_dt))))))))) zenon_H6d); [ zenon_intro zenon_H6f; idtac ].
% 0.18/0.57 elim zenon_H6f. zenon_intro zenon_TX_ei. zenon_intro zenon_H71.
% 0.18/0.57 apply (zenon_notimply_s _ _ zenon_H71). zenon_intro zenon_H73. zenon_intro zenon_H72.
% 0.18/0.57 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74.
% 0.18/0.57 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76.
% 0.18/0.57 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78.
% 0.18/0.57 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a.
% 0.18/0.57 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c.
% 0.18/0.57 apply zenon_H7b. zenon_intro zenon_H7e.
% 0.18/0.57 apply zenon_H79. zenon_intro zenon_H7f.
% 0.18/0.57 apply zenon_H77. zenon_intro zenon_H80.
% 0.18/0.57 apply zenon_H75. zenon_intro zenon_H81.
% 0.18/0.57 apply (zenon_notand_s _ _ zenon_H7d); [ zenon_intro zenon_H83 | zenon_intro zenon_H82 ].
% 0.18/0.57 apply zenon_H83. zenon_intro zenon_H84.
% 0.18/0.57 apply (zenon_notand_s _ _ zenon_H7c); [ zenon_intro zenon_H86 | zenon_intro zenon_H85 ].
% 0.18/0.57 cut ((singletonP zenon_TW_ed) = (singletonP zenon_TU_dt)).
% 0.18/0.57 intro zenon_D_pnotp.
% 0.18/0.57 apply zenon_H86.
% 0.18/0.57 rewrite <- zenon_D_pnotp.
% 0.18/0.57 exact zenon_H84.
% 0.18/0.57 cut ((zenon_TW_ed = zenon_TU_dt)); [idtac | apply NNPP; zenon_intro zenon_H87].
% 0.18/0.57 congruence.
% 0.18/0.57 apply zenon_H87. apply sym_equal. exact zenon_H80.
% 0.18/0.57 cut ((segmentP zenon_TX_ei zenon_TW_ed) = (segmentP zenon_TV_dy zenon_TU_dt)).
% 0.18/0.57 intro zenon_D_pnotp.
% 0.18/0.57 apply zenon_H85.
% 0.18/0.57 rewrite <- zenon_D_pnotp.
% 0.18/0.57 exact zenon_H7e.
% 0.18/0.57 cut ((zenon_TW_ed = zenon_TU_dt)); [idtac | apply NNPP; zenon_intro zenon_H87].
% 0.18/0.57 cut ((zenon_TX_ei = zenon_TV_dy)); [idtac | apply NNPP; zenon_intro zenon_H88].
% 0.18/0.57 congruence.
% 0.18/0.57 apply zenon_H88. apply sym_equal. exact zenon_H81.
% 0.18/0.57 apply zenon_H87. apply sym_equal. exact zenon_H80.
% 0.18/0.57 cut ((neq zenon_TV_dy (nil)) = (neq zenon_TX_ei (nil))).
% 0.18/0.57 intro zenon_D_pnotp.
% 0.18/0.57 apply zenon_H82.
% 0.18/0.57 rewrite <- zenon_D_pnotp.
% 0.18/0.57 exact zenon_H7f.
% 0.18/0.57 cut (((nil) = (nil))); [idtac | apply NNPP; zenon_intro zenon_H89].
% 0.18/0.57 cut ((zenon_TV_dy = zenon_TX_ei)); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 0.18/0.57 congruence.
% 0.18/0.57 exact (zenon_H8a zenon_H81).
% 0.18/0.57 apply zenon_H89. apply refl_equal.
% 0.18/0.57 Qed.
% 0.18/0.57 % SZS output end Proof
% 0.18/0.57 (* END-PROOF *)
% 0.18/0.57 nodes searched: 2745
% 0.18/0.57 max branch formulas: 989
% 0.18/0.57 proof nodes created: 51
% 0.18/0.57 formulas created: 14739
% 0.18/0.57
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