TSTP Solution File: SWC362+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWC362+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n014.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 22:30:38 EDT 2022
% Result : Theorem 0.43s 0.59s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC362+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 12 06:16:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.43/0.59 (* PROOF-FOUND *)
% 0.43/0.59 % SZS status Theorem
% 0.43/0.59 (* BEGIN-PROOF *)
% 0.43/0.59 % SZS output start Proof
% 0.43/0.59 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)))\/((~(segmentP X W))\/(segmentP V U)))/\((~(neq V (nil)))\/(neq X (nil)))))))))))))).
% 0.43/0.59 Proof.
% 0.43/0.59 apply NNPP. intro zenon_G.
% 0.43/0.59 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)))\/((~(segmentP X W))\/(segmentP V U)))/\((~(neq V (nil)))\/(neq X (nil)))))))))))))) zenon_G); [ zenon_intro zenon_H60; idtac ].
% 0.43/0.59 elim zenon_H60. zenon_intro zenon_TU_dt. zenon_intro zenon_H62.
% 0.43/0.59 apply (zenon_notimply_s _ _ zenon_H62). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 0.43/0.59 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_dt = W))\/(((~(neq V (nil)))\/((~(segmentP X W))\/(segmentP V zenon_TU_dt)))/\((~(neq V (nil)))\/(neq X (nil)))))))))))) zenon_H63); [ zenon_intro zenon_H65; idtac ].
% 0.43/0.59 elim zenon_H65. zenon_intro zenon_TV_dy. zenon_intro zenon_H67.
% 0.43/0.59 apply (zenon_notimply_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68.
% 0.43/0.59 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))\/(segmentP zenon_TV_dy zenon_TU_dt)))/\((~(neq zenon_TV_dy (nil)))\/(neq X (nil)))))))))) zenon_H68); [ zenon_intro zenon_H6a; idtac ].
% 0.43/0.59 elim zenon_H6a. zenon_intro zenon_TW_ed. zenon_intro zenon_H6c.
% 0.43/0.59 apply (zenon_notimply_s _ _ zenon_H6c). zenon_intro zenon_H6e. zenon_intro zenon_H6d.
% 0.43/0.59 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))\/(segmentP zenon_TV_dy zenon_TU_dt)))/\((~(neq zenon_TV_dy (nil)))\/(neq X (nil)))))))) zenon_H6d); [ zenon_intro zenon_H6f; idtac ].
% 0.43/0.59 elim zenon_H6f. zenon_intro zenon_TX_ei. zenon_intro zenon_H71.
% 0.43/0.59 apply (zenon_notimply_s _ _ zenon_H71). zenon_intro zenon_H73. zenon_intro zenon_H72.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76.
% 0.43/0.59 apply zenon_H77. zenon_intro zenon_H78.
% 0.43/0.59 apply zenon_H75. zenon_intro zenon_H79.
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H76); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H7b). zenon_intro zenon_H7d. zenon_intro zenon_H7c.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e.
% 0.43/0.59 apply zenon_H7f. zenon_intro zenon_H80.
% 0.43/0.59 cut ((segmentP zenon_TX_ei zenon_TW_ed) = (segmentP zenon_TV_dy zenon_TU_dt)).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_H7e.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_H80.
% 0.43/0.59 cut ((zenon_TW_ed = zenon_TU_dt)); [idtac | apply NNPP; zenon_intro zenon_H81].
% 0.43/0.59 cut ((zenon_TX_ei = zenon_TV_dy)); [idtac | apply NNPP; zenon_intro zenon_H82].
% 0.43/0.59 congruence.
% 0.43/0.59 apply zenon_H82. apply sym_equal. exact zenon_H79.
% 0.43/0.59 apply zenon_H81. apply sym_equal. exact zenon_H78.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H83.
% 0.43/0.59 apply zenon_H7d. zenon_intro zenon_H84.
% 0.43/0.59 cut ((neq zenon_TV_dy (nil)) = (neq zenon_TX_ei (nil))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_H83.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_H84.
% 0.43/0.59 cut (((nil) = (nil))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 0.43/0.59 cut ((zenon_TV_dy = zenon_TX_ei)); [idtac | apply NNPP; zenon_intro zenon_H86].
% 0.43/0.59 congruence.
% 0.43/0.59 exact (zenon_H86 zenon_H79).
% 0.43/0.59 apply zenon_H85. apply refl_equal.
% 0.43/0.59 Qed.
% 0.43/0.59 % SZS output end Proof
% 0.43/0.59 (* END-PROOF *)
% 0.43/0.59 nodes searched: 1816
% 0.43/0.59 max branch formulas: 975
% 0.43/0.59 proof nodes created: 38
% 0.43/0.59 formulas created: 12280
% 0.43/0.59
%------------------------------------------------------------------------------