TSTP Solution File: NUM550+3 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM550+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n009.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 15:56:45 EDT 2022
% Result : Theorem 20.06s 20.31s
% Output : Proof 20.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM550+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_zenon %s %d
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jul 6 17:04:37 EDT 2022
% 0.11/0.33 % CPUTime :
% 20.06/20.31 (* PROOF-FOUND *)
% 20.06/20.31 % SZS status Theorem
% 20.06/20.31 (* BEGIN-PROOF *)
% 20.06/20.31 % SZS output start Proof
% 20.06/20.31 Theorem m__ : (~((~(exists W0 : zenon_U, (aElementOf0 W0 (xQ))))/\((xQ) = (slcrc0)))).
% 20.06/20.31 Proof.
% 20.06/20.31 assert (zenon_L1_ : (~((xk) = (xk))) -> False).
% 20.06/20.31 do 0 intro. intros zenon_H43.
% 20.06/20.31 apply zenon_H43. apply refl_equal.
% 20.06/20.31 (* end of lemma zenon_L1_ *)
% 20.06/20.31 apply NNPP. intro zenon_G.
% 20.06/20.31 apply (zenon_and_s _ _ m__2202_02). zenon_intro zenon_H45. zenon_intro zenon_H44.
% 20.06/20.31 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46.
% 20.06/20.31 apply (zenon_and_s _ _ m__2270). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 20.06/20.31 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a.
% 20.06/20.31 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c.
% 20.06/20.31 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.06/20.31 apply zenon_G. zenon_intro zenon_H50.
% 20.06/20.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H52. zenon_intro zenon_H51.
% 20.06/20.31 elim (classic ((sz00) = (sz00))); [ zenon_intro zenon_H53 | zenon_intro zenon_H54 ].
% 20.06/20.31 cut (((sz00) = (sz00)) = ((xk) = (sz00))).
% 20.06/20.31 intro zenon_D_pnotp.
% 20.06/20.31 apply zenon_H46.
% 20.06/20.31 rewrite <- zenon_D_pnotp.
% 20.06/20.31 exact zenon_H53.
% 20.06/20.31 cut (((sz00) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 20.06/20.31 cut (((sz00) = (xk))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 20.06/20.31 congruence.
% 20.06/20.31 cut (((sbrdtbr0 (xQ)) = (xk)) = ((sz00) = (xk))).
% 20.06/20.31 intro zenon_D_pnotp.
% 20.06/20.31 apply zenon_H55.
% 20.06/20.31 rewrite <- zenon_D_pnotp.
% 20.06/20.31 exact zenon_H4f.
% 20.06/20.31 cut (((xk) = (xk))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 20.06/20.31 cut (((sbrdtbr0 (xQ)) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 20.06/20.31 congruence.
% 20.06/20.31 elim (classic ((sz00) = (sz00))); [ zenon_intro zenon_H53 | zenon_intro zenon_H54 ].
% 20.06/20.31 cut (((sz00) = (sz00)) = ((sbrdtbr0 (xQ)) = (sz00))).
% 20.06/20.31 intro zenon_D_pnotp.
% 20.06/20.31 apply zenon_H56.
% 20.06/20.31 rewrite <- zenon_D_pnotp.
% 20.06/20.31 exact zenon_H53.
% 20.06/20.31 cut (((sz00) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 20.06/20.31 cut (((sz00) = (sbrdtbr0 (xQ)))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 20.06/20.31 congruence.
% 20.06/20.31 generalize (mCardEmpty (xQ)). zenon_intro zenon_H58.
% 20.06/20.31 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ].
% 20.06/20.31 exact (zenon_H5a zenon_H49).
% 20.06/20.31 apply (zenon_equiv_s _ _ zenon_H59); [ zenon_intro zenon_H56; zenon_intro zenon_H5c | zenon_intro zenon_H5b; zenon_intro zenon_H51 ].
% 20.06/20.31 exact (zenon_H5c zenon_H51).
% 20.06/20.31 apply zenon_H57. apply sym_equal. exact zenon_H5b.
% 20.06/20.31 apply zenon_H54. apply refl_equal.
% 20.06/20.31 apply zenon_H54. apply refl_equal.
% 20.06/20.31 apply zenon_H43. apply refl_equal.
% 20.06/20.31 apply zenon_H54. apply refl_equal.
% 20.06/20.31 apply zenon_H54. apply refl_equal.
% 20.06/20.31 Qed.
% 20.06/20.31 % SZS output end Proof
% 20.06/20.31 (* END-PROOF *)
% 20.06/20.31 nodes searched: 571587
% 20.06/20.31 max branch formulas: 6709
% 20.06/20.31 proof nodes created: 7367
% 20.06/20.31 formulas created: 1731544
% 20.06/20.31
%------------------------------------------------------------------------------