TSTP Solution File: RNG123+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : RNG123+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n024.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 20:48:30 EDT 2022
% Result : Theorem 128.67s 128.88s
% Output : Proof 128.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG123+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon May 30 13:45:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 128.67/128.88 (* PROOF-FOUND *)
% 128.67/128.88 % SZS status Theorem
% 128.67/128.88 (* BEGIN-PROOF *)
% 128.67/128.88 % SZS output start Proof
% 128.67/128.88 Theorem m__ : False.
% 128.67/128.88 Proof.
% 128.67/128.88 assert (zenon_L1_ : (forall W1 : zenon_U, ((aElementOf0 W1 (xI))->((forall W2 : zenon_U, ((aElementOf0 W2 (xI))->(aElementOf0 (sdtpldt0 W1 W2) (xI))))/\(forall W2 : zenon_U, ((aElement0 W2)->(aElementOf0 (sdtasdt0 W2 W1) (xI))))))) -> (~(aElementOf0 (sdtpldt0 (smndt0 (sdtasdt0 (xq) (xu))) (xb)) (xI))) -> False).
% 128.67/128.88 do 0 intro. intros zenon_H37 zenon_H38.
% 128.67/128.88 generalize (zenon_H37 (smndt0 (sdtasdt0 (xq) (xu)))). zenon_intro zenon_H39.
% 128.67/128.88 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ].
% 128.67/128.88 exact (zenon_H3b m__2690).
% 128.67/128.88 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3d. zenon_intro zenon_H3c.
% 128.67/128.88 generalize (zenon_H3d (xb)). zenon_intro zenon_H3e.
% 128.67/128.88 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 128.67/128.88 exact (zenon_H40 m__2699).
% 128.67/128.88 exact (zenon_H38 zenon_H3f).
% 128.67/128.88 (* end of lemma zenon_L1_ *)
% 128.67/128.88 assert (zenon_L2_ : (~(iLess0 (sbrdtbr0 (sdtpldt0 (smndt0 (sdtasdt0 (xq) (xu))) (xb))) (sbrdtbr0 (xu)))) -> (iLess0 (sbrdtbr0 (xr)) (sbrdtbr0 (xu))) -> False).
% 128.67/128.88 do 0 intro. intros zenon_H41 zenon_H42.
% 128.67/128.88 cut ((iLess0 (sbrdtbr0 (xr)) (sbrdtbr0 (xu))) = (iLess0 (sbrdtbr0 (sdtpldt0 (smndt0 (sdtasdt0 (xq) (xu))) (xb))) (sbrdtbr0 (xu)))).
% 128.67/128.88 intro zenon_D_pnotp.
% 128.67/128.88 apply zenon_H41.
% 128.67/128.88 rewrite <- zenon_D_pnotp.
% 128.67/128.88 exact zenon_H42.
% 128.67/128.88 cut (((sbrdtbr0 (xu)) = (sbrdtbr0 (xu)))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 128.67/128.88 cut (((sbrdtbr0 (xr)) = (sbrdtbr0 (sdtpldt0 (smndt0 (sdtasdt0 (xq) (xu))) (xb))))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 128.67/128.88 congruence.
% 128.67/128.88 cut (((xr) = (sdtpldt0 (smndt0 (sdtasdt0 (xq) (xu))) (xb)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 128.67/128.88 congruence.
% 128.67/128.88 exact (zenon_H45 m__2718).
% 128.67/128.88 apply zenon_H43. apply refl_equal.
% 128.67/128.88 (* end of lemma zenon_L2_ *)
% 128.67/128.88 apply (zenon_and_s _ _ m__2174). zenon_intro zenon_H47. zenon_intro zenon_H46.
% 128.67/128.88 generalize (mDefIdeal (xI)). zenon_intro zenon_H48.
% 128.67/128.88 apply (zenon_equiv_s _ _ zenon_H48); [ zenon_intro zenon_H4b; zenon_intro zenon_H4a | zenon_intro zenon_H47; zenon_intro zenon_H49 ].
% 128.67/128.88 exact (zenon_H4b zenon_H47).
% 128.67/128.88 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4c. zenon_intro zenon_H37.
% 128.67/128.88 apply (zenon_and_s _ _ m__2273). zenon_intro zenon_H4e. zenon_intro zenon_H4d.
% 128.67/128.88 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H50. zenon_intro zenon_H4f.
% 128.67/128.88 apply (zenon_and_s _ _ m__2666). zenon_intro zenon_H52. zenon_intro zenon_H51.
% 128.67/128.88 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 128.67/128.88 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 128.67/128.88 apply (zenon_congruence_lr_s _ (fun zenon_Vh : _ => (~(zenon_Vh = (sz00)))) _ _ m__2673 m__2718). zenon_intro zenon_H57.
% 128.67/128.88 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H42 ].
% 128.67/128.88 apply (zenon_congruence_lr_s _ (fun zenon_Vj : _ => (zenon_Vj = (sz00))) _ _ zenon_H58 m__2718). zenon_intro zenon_H59.
% 128.67/128.88 exact (zenon_H57 zenon_H59).
% 128.67/128.88 generalize (zenon_H4f (sdtpldt0 (smndt0 (sdtasdt0 (xq) (xu))) (xb))). zenon_intro zenon_H5a.
% 128.67/128.88 apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_H5b | zenon_intro zenon_H41 ].
% 128.67/128.88 apply (zenon_notand_s _ _ zenon_H5b); [ zenon_intro zenon_H38 | zenon_intro zenon_H5c ].
% 128.67/128.88 apply (zenon_L1_); trivial.
% 128.67/128.88 exact (zenon_H5c zenon_H57).
% 128.67/128.88 apply (zenon_L2_); trivial.
% 128.67/128.88 Qed.
% 128.67/128.88 % SZS output end Proof
% 128.67/128.88 (* END-PROOF *)
% 128.67/128.88 nodes searched: 3473757
% 128.67/128.88 max branch formulas: 14254
% 128.67/128.88 proof nodes created: 71476
% 128.67/128.88 formulas created: 6597252
% 128.67/128.88
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