TSTP Solution File: NUM565+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM565+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n016.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 15:56:53 EDT 2022
% Result : Theorem 0.47s 0.70s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM565+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n016.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 : Fri Jul 8 02:37:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/0.70 (* PROOF-FOUND *)
% 0.47/0.70 % SZS status Theorem
% 0.47/0.70 (* BEGIN-PROOF *)
% 0.47/0.70 % SZS output start Proof
% 0.47/0.70 Theorem m__ : (forall W0 : zenon_U, (((aSet0 W0)/\((forall W1 : zenon_U, ((aElementOf0 W1 W0)->(aElementOf0 W1 (xS))))/\((aSubsetOf0 W0 (xS))/\(((sbrdtbr0 W0) = (sz00))/\(aElementOf0 W0 (slbdtsldtrb0 (xS) (sz00)))))))->(((aSet0 (slcrc0))/\(~(exists W0 : zenon_U, (aElementOf0 W0 (slcrc0)))))->((sdtlpdtrp0 (xc) W0) = (sdtlpdtrp0 (xc) (slcrc0)))))).
% 0.47/0.70 Proof.
% 0.47/0.70 apply NNPP. intro zenon_G.
% 0.47/0.70 apply (zenon_notallex_s (fun W0 : zenon_U => (((aSet0 W0)/\((forall W1 : zenon_U, ((aElementOf0 W1 W0)->(aElementOf0 W1 (xS))))/\((aSubsetOf0 W0 (xS))/\(((sbrdtbr0 W0) = (sz00))/\(aElementOf0 W0 (slbdtsldtrb0 (xS) (sz00)))))))->(((aSet0 (slcrc0))/\(~(exists W0 : zenon_U, (aElementOf0 W0 (slcrc0)))))->((sdtlpdtrp0 (xc) W0) = (sdtlpdtrp0 (xc) (slcrc0)))))) zenon_G); [ zenon_intro zenon_H50; idtac ].
% 0.47/0.70 elim zenon_H50. zenon_intro zenon_TW0_dd. zenon_intro zenon_H52.
% 0.47/0.70 apply (zenon_notimply_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 0.47/0.70 apply (zenon_notimply_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 0.47/0.70 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H58. zenon_intro zenon_H57.
% 0.47/0.70 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H5a. zenon_intro zenon_H59.
% 0.47/0.70 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H5c. zenon_intro zenon_H5b.
% 0.47/0.70 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H5e. zenon_intro zenon_H5d.
% 0.47/0.70 cut ((zenon_TW0_dd = (slcrc0))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 0.47/0.70 cut (((xc) = (xc))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 0.47/0.70 congruence.
% 0.47/0.70 apply zenon_H60. apply refl_equal.
% 0.47/0.70 generalize (mCardEmpty zenon_TW0_dd). zenon_intro zenon_H61.
% 0.47/0.70 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ].
% 0.47/0.70 exact (zenon_H63 zenon_H58).
% 0.47/0.70 apply (zenon_equiv_s _ _ zenon_H62); [ zenon_intro zenon_H65; zenon_intro zenon_H5f | zenon_intro zenon_H5e; zenon_intro zenon_H64 ].
% 0.47/0.70 exact (zenon_H65 zenon_H5e).
% 0.47/0.70 exact (zenon_H5f zenon_H64).
% 0.47/0.70 Qed.
% 0.47/0.70 % SZS output end Proof
% 0.47/0.70 (* END-PROOF *)
% 0.47/0.70 nodes searched: 5722
% 0.47/0.70 max branch formulas: 1746
% 0.47/0.70 proof nodes created: 169
% 0.47/0.70 formulas created: 37295
% 0.47/0.70
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