TSTP Solution File: NUM550+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM550+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n026.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 : Mon Jul 18 15:56:44 EDT 2022
% Result : Theorem 0.42s 0.60s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM550+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n026.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 : Tue Jul 5 19:56:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.42/0.60 (* PROOF-FOUND *)
% 0.42/0.60 % SZS status Theorem
% 0.42/0.60 (* BEGIN-PROOF *)
% 0.42/0.60 % SZS output start Proof
% 0.42/0.60 Theorem m__ : (~((xQ) = (slcrc0))).
% 0.42/0.60 Proof.
% 0.42/0.60 assert (zenon_L1_ : (~((xk) = (xk))) -> False).
% 0.42/0.60 do 0 intro. intros zenon_H43.
% 0.42/0.60 apply zenon_H43. apply refl_equal.
% 0.42/0.60 (* end of lemma zenon_L1_ *)
% 0.42/0.60 apply NNPP. intro zenon_G.
% 0.42/0.60 apply (zenon_and_s _ _ m__2202_02). zenon_intro zenon_H45. zenon_intro zenon_H44.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46.
% 0.42/0.60 apply (zenon_and_s _ _ m__2291). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a.
% 0.42/0.60 apply zenon_G. zenon_intro zenon_H4c.
% 0.42/0.60 elim (classic ((sz00) = (sz00))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 0.42/0.60 cut (((sz00) = (sz00)) = ((xk) = (sz00))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_H46.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H4d.
% 0.42/0.60 cut (((sz00) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 0.42/0.60 cut (((sz00) = (xk))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 0.42/0.60 congruence.
% 0.42/0.60 cut (((sbrdtbr0 (xQ)) = (xk)) = ((sz00) = (xk))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_H4f.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H4a.
% 0.42/0.60 cut (((xk) = (xk))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 0.42/0.60 cut (((sbrdtbr0 (xQ)) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 0.42/0.60 congruence.
% 0.42/0.60 elim (classic ((sz00) = (sz00))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 0.42/0.60 cut (((sz00) = (sz00)) = ((sbrdtbr0 (xQ)) = (sz00))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_H50.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H4d.
% 0.42/0.60 cut (((sz00) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 0.42/0.60 cut (((sz00) = (sbrdtbr0 (xQ)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 0.42/0.60 congruence.
% 0.42/0.60 generalize (mCardEmpty (xQ)). zenon_intro zenon_H52.
% 0.42/0.60 apply (zenon_imply_s _ _ zenon_H52); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ].
% 0.42/0.60 exact (zenon_H54 zenon_H49).
% 0.42/0.60 apply (zenon_equiv_s _ _ zenon_H53); [ zenon_intro zenon_H50; zenon_intro zenon_H56 | zenon_intro zenon_H55; zenon_intro zenon_H4c ].
% 0.42/0.60 exact (zenon_H56 zenon_H4c).
% 0.42/0.60 apply zenon_H51. apply sym_equal. exact zenon_H55.
% 0.42/0.60 apply zenon_H4e. apply refl_equal.
% 0.42/0.60 apply zenon_H4e. apply refl_equal.
% 0.42/0.60 apply zenon_H43. apply refl_equal.
% 0.42/0.60 apply zenon_H4e. apply refl_equal.
% 0.42/0.60 apply zenon_H4e. apply refl_equal.
% 0.42/0.60 Qed.
% 0.42/0.60 % SZS output end Proof
% 0.42/0.60 (* END-PROOF *)
% 0.42/0.60 nodes searched: 2890
% 0.42/0.60 max branch formulas: 1390
% 0.42/0.60 proof nodes created: 112
% 0.42/0.60 formulas created: 19037
% 0.42/0.60
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