TSTP Solution File: SWC255+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : SWC255+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n029.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 22:30:05 EDT 2022
% Result : Theorem 0.16s 0.49s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWC255+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.11 % Command : run_zenon %s %d
% 0.10/0.31 % Computer : n029.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Sun Jun 12 03:18:24 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.49 (* PROOF-FOUND *)
% 0.16/0.49 % SZS status Theorem
% 0.16/0.49 (* BEGIN-PROOF *)
% 0.16/0.49 % SZS output start Proof
% 0.16/0.49 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)))\/((~(singletonP W))\/(singletonP U)))/\((~(neq V (nil)))\/(neq X (nil)))))))))))))).
% 0.16/0.49 Proof.
% 0.16/0.49 apply NNPP. intro zenon_G.
% 0.16/0.49 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)))\/((~(singletonP W))\/(singletonP U)))/\((~(neq V (nil)))\/(neq X (nil)))))))))))))) zenon_G); [ zenon_intro zenon_H60; idtac ].
% 0.16/0.49 elim zenon_H60. zenon_intro zenon_TU_dt. zenon_intro zenon_H62.
% 0.16/0.49 apply (zenon_notimply_s _ _ zenon_H62). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 0.16/0.49 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)))\/((~(singletonP W))\/(singletonP zenon_TU_dt)))/\((~(neq V (nil)))\/(neq X (nil)))))))))))) zenon_H63); [ zenon_intro zenon_H65; idtac ].
% 0.16/0.49 elim zenon_H65. zenon_intro zenon_TV_dy. zenon_intro zenon_H67.
% 0.16/0.49 apply (zenon_notimply_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68.
% 0.16/0.49 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)))\/((~(singletonP W))\/(singletonP zenon_TU_dt)))/\((~(neq zenon_TV_dy (nil)))\/(neq X (nil)))))))))) zenon_H68); [ zenon_intro zenon_H6a; idtac ].
% 0.16/0.49 elim zenon_H6a. zenon_intro zenon_TW_ed. zenon_intro zenon_H6c.
% 0.16/0.49 apply (zenon_notimply_s _ _ zenon_H6c). zenon_intro zenon_H6e. zenon_intro zenon_H6d.
% 0.16/0.49 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)))\/((~(singletonP zenon_TW_ed))\/(singletonP zenon_TU_dt)))/\((~(neq zenon_TV_dy (nil)))\/(neq X (nil)))))))) zenon_H6d); [ zenon_intro zenon_H6f; idtac ].
% 0.16/0.49 elim zenon_H6f. zenon_intro zenon_TX_ei. zenon_intro zenon_H71.
% 0.16/0.49 apply (zenon_notimply_s _ _ zenon_H71). zenon_intro zenon_H73. zenon_intro zenon_H72.
% 0.16/0.49 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74.
% 0.16/0.49 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76.
% 0.16/0.49 apply zenon_H77. zenon_intro zenon_H78.
% 0.16/0.49 apply zenon_H75. zenon_intro zenon_H79.
% 0.16/0.49 apply (zenon_notand_s _ _ zenon_H76); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ].
% 0.16/0.49 apply (zenon_notor_s _ _ zenon_H7b). zenon_intro zenon_H7d. zenon_intro zenon_H7c.
% 0.16/0.49 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e.
% 0.16/0.49 apply zenon_H7f. zenon_intro zenon_H80.
% 0.16/0.49 cut ((singletonP zenon_TW_ed) = (singletonP zenon_TU_dt)).
% 0.16/0.49 intro zenon_D_pnotp.
% 0.16/0.49 apply zenon_H7e.
% 0.16/0.49 rewrite <- zenon_D_pnotp.
% 0.16/0.49 exact zenon_H80.
% 0.16/0.49 cut ((zenon_TW_ed = zenon_TU_dt)); [idtac | apply NNPP; zenon_intro zenon_H81].
% 0.16/0.49 congruence.
% 0.16/0.49 apply zenon_H81. apply sym_equal. exact zenon_H78.
% 0.16/0.49 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H82.
% 0.16/0.49 apply zenon_H7d. zenon_intro zenon_H83.
% 0.16/0.49 cut ((neq zenon_TV_dy (nil)) = (neq zenon_TX_ei (nil))).
% 0.16/0.49 intro zenon_D_pnotp.
% 0.16/0.49 apply zenon_H82.
% 0.16/0.49 rewrite <- zenon_D_pnotp.
% 0.16/0.49 exact zenon_H83.
% 0.16/0.49 cut (((nil) = (nil))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 0.16/0.49 cut ((zenon_TV_dy = zenon_TX_ei)); [idtac | apply NNPP; zenon_intro zenon_H85].
% 0.16/0.49 congruence.
% 0.16/0.49 exact (zenon_H85 zenon_H79).
% 0.16/0.49 apply zenon_H84. apply refl_equal.
% 0.16/0.49 Qed.
% 0.16/0.49 % SZS output end Proof
% 0.16/0.49 (* END-PROOF *)
% 0.16/0.49 nodes searched: 1813
% 0.16/0.49 max branch formulas: 975
% 0.16/0.49 proof nodes created: 39
% 0.16/0.49 formulas created: 12215
% 0.16/0.49
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