TSTP Solution File: NUM443+4 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM443+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n007.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 15:55:43 EDT 2022
% Result : Theorem 2.23s 2.42s
% Output : Proof 2.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM443+4 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n007.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 02:09:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.23/2.42 (* PROOF-FOUND *)
% 2.23/2.42 % SZS status Theorem
% 2.23/2.42 (* BEGIN-PROOF *)
% 2.23/2.42 % SZS output start Proof
% 2.23/2.42 Theorem m__ : (((aSet0 (szAzrzSzezqlpdtcmdtrp0 (xa) (xq)))/\((forall W0 : zenon_U, (((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (xa) (xq)))->((aInteger0 W0)/\((exists W1 : zenon_U, ((aInteger0 W1)/\((sdtasdt0 (xq) W1) = (sdtpldt0 W0 (smndt0 (xa))))))/\((aDivisorOf0 (xq) (sdtpldt0 W0 (smndt0 (xa))))/\(sdteqdtlpzmzozddtrp0 W0 (xa) (xq))))))/\(((aInteger0 W0)/\((exists W1 : zenon_U, ((aInteger0 W1)/\((sdtasdt0 (xq) W1) = (sdtpldt0 W0 (smndt0 (xa))))))\/((aDivisorOf0 (xq) (sdtpldt0 W0 (smndt0 (xa))))\/(sdteqdtlpzmzozddtrp0 W0 (xa) (xq)))))->(aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (xa) (xq))))))/\((~(aElementOf0 (xb) (szAzrzSzezqlpdtcmdtrp0 (xa) (xq))))/\((aElementOf0 (xb) (stldt0 (szAzrzSzezqlpdtcmdtrp0 (xa) (xq))))/\((exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xq) W0) = (sdtpldt0 (xc) (smndt0 (xb))))))/\((aDivisorOf0 (xq) (sdtpldt0 (xc) (smndt0 (xb))))/\(sdteqdtlpzmzozddtrp0 (xc) (xb) (xq))))))))->(((aSet0 (szAzrzSzezqlpdtcmdtrp0 (xa) (xq)))/\(forall W0 : zenon_U, (((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (xa) (xq)))->((aInteger0 W0)/\((exists W1 : zenon_U, ((aInteger0 W1)/\((sdtasdt0 (xq) W1) = (sdtpldt0 W0 (smndt0 (xa))))))/\((aDivisorOf0 (xq) (sdtpldt0 W0 (smndt0 (xa))))/\(sdteqdtlpzmzozddtrp0 W0 (xa) (xq))))))/\(((aInteger0 W0)/\((exists W1 : zenon_U, ((aInteger0 W1)/\((sdtasdt0 (xq) W1) = (sdtpldt0 W0 (smndt0 (xa))))))\/((aDivisorOf0 (xq) (sdtpldt0 W0 (smndt0 (xa))))\/(sdteqdtlpzmzozddtrp0 W0 (xa) (xq)))))->(aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (xa) (xq)))))))->((~(aElementOf0 (xc) (szAzrzSzezqlpdtcmdtrp0 (xa) (xq))))\/(aElementOf0 (xc) (stldt0 (szAzrzSzezqlpdtcmdtrp0 (xa) (xq))))))).
% 2.23/2.42 Proof.
% 2.23/2.42 assert (zenon_L1_ : (aInteger0 (xc)) -> (aInteger0 (xb)) -> (aInteger0 (xq)) -> (~((xq) = (sz00))) -> (sdteqdtlpzmzozddtrp0 (xc) (xb) (xq)) -> (~(sdteqdtlpzmzozddtrp0 (xb) (xc) (xq))) -> False).
% 2.23/2.42 do 0 intro. intros zenon_H2b zenon_H2c zenon_H2d zenon_H2e zenon_H2f zenon_H30.
% 2.23/2.42 generalize (mEquModSym (xc)). zenon_intro zenon_H31.
% 2.23/2.42 generalize (zenon_H31 (xb)). zenon_intro zenon_H32.
% 2.23/2.42 generalize (zenon_H32 (xq)). zenon_intro zenon_H33.
% 2.23/2.42 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ].
% 2.23/2.42 apply (zenon_notand_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ].
% 2.23/2.42 exact (zenon_H37 zenon_H2b).
% 2.23/2.42 apply (zenon_notand_s _ _ zenon_H36); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ].
% 2.23/2.42 exact (zenon_H39 zenon_H2c).
% 2.23/2.42 apply (zenon_notand_s _ _ zenon_H38); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ].
% 2.23/2.42 exact (zenon_H3b zenon_H2d).
% 2.23/2.42 exact (zenon_H3a zenon_H2e).
% 2.23/2.42 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ].
% 2.23/2.42 exact (zenon_H3d zenon_H2f).
% 2.23/2.42 exact (zenon_H30 zenon_H3c).
% 2.23/2.42 (* end of lemma zenon_L1_ *)
% 2.23/2.42 apply NNPP. intro zenon_G.
% 2.23/2.42 apply (zenon_and_s _ _ m__1962). zenon_intro zenon_H3f. zenon_intro zenon_H3e.
% 2.23/2.42 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H2d. zenon_intro zenon_H2e.
% 2.23/2.42 apply (zenon_and_s _ _ m__2010). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 2.23/2.42 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H41. zenon_intro zenon_H40.
% 2.23/2.42 apply (zenon_notimply_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42.
% 2.23/2.42 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44.
% 2.23/2.42 apply zenon_H45. zenon_intro zenon_H46.
% 2.23/2.42 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H48. zenon_intro zenon_H47.
% 2.23/2.42 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H4a. zenon_intro zenon_H49.
% 2.23/2.42 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4c. zenon_intro zenon_H4b.
% 2.23/2.42 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H4e. zenon_intro zenon_H4d.
% 2.23/2.42 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H50. zenon_intro zenon_H4f.
% 2.23/2.42 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H51. zenon_intro zenon_H2f.
% 2.23/2.42 generalize (zenon_H4a (xb)). zenon_intro zenon_H52.
% 2.23/2.42 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 2.23/2.42 apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ].
% 2.23/2.42 apply (zenon_notand_s _ _ zenon_H56); [ zenon_intro zenon_H39 | zenon_intro zenon_H57 ].
% 2.27/2.42 exact (zenon_H39 zenon_H2c).
% 2.27/2.42 apply (zenon_notor_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58.
% 2.27/2.42 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a.
% 2.27/2.42 generalize (mEquModTrn (xb)). zenon_intro zenon_H5c.
% 2.27/2.42 generalize (zenon_H5c (xc)). zenon_intro zenon_H5d.
% 2.27/2.42 generalize (zenon_H5d (xq)). zenon_intro zenon_H5e.
% 2.27/2.42 generalize (zenon_H5e (xa)). zenon_intro zenon_H5f.
% 2.27/2.42 apply (zenon_imply_s _ _ zenon_H5f); [ zenon_intro zenon_H61 | zenon_intro zenon_H60 ].
% 2.27/2.42 apply (zenon_notand_s _ _ zenon_H61); [ zenon_intro zenon_H39 | zenon_intro zenon_H62 ].
% 2.27/2.42 exact (zenon_H39 zenon_H2c).
% 2.27/2.42 apply (zenon_notand_s _ _ zenon_H62); [ zenon_intro zenon_H37 | zenon_intro zenon_H63 ].
% 2.27/2.42 exact (zenon_H37 zenon_H2b).
% 2.27/2.42 apply (zenon_notand_s _ _ zenon_H63); [ zenon_intro zenon_H3b | zenon_intro zenon_H64 ].
% 2.27/2.42 exact (zenon_H3b zenon_H2d).
% 2.27/2.42 apply (zenon_notand_s _ _ zenon_H64); [ zenon_intro zenon_H3a | zenon_intro zenon_H65 ].
% 2.27/2.42 exact (zenon_H3a zenon_H2e).
% 2.27/2.42 exact (zenon_H65 zenon_H3f).
% 2.27/2.42 apply (zenon_imply_s _ _ zenon_H60); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ].
% 2.27/2.42 apply (zenon_notand_s _ _ zenon_H67); [ zenon_intro zenon_H30 | zenon_intro zenon_H68 ].
% 2.27/2.42 apply (zenon_L1_); trivial.
% 2.27/2.42 generalize (zenon_H4a (xc)). zenon_intro zenon_H69.
% 2.27/2.42 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H6b. zenon_intro zenon_H6a.
% 2.27/2.42 apply (zenon_imply_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ].
% 2.27/2.42 exact (zenon_H6d zenon_H46).
% 2.27/2.42 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H2b. zenon_intro zenon_H6e.
% 2.27/2.42 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 2.27/2.42 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H72. zenon_intro zenon_H71.
% 2.27/2.42 exact (zenon_H68 zenon_H71).
% 2.27/2.42 exact (zenon_H5a zenon_H66).
% 2.27/2.42 exact (zenon_H4c zenon_H55).
% 2.27/2.42 Qed.
% 2.27/2.42 % SZS output end Proof
% 2.27/2.42 (* END-PROOF *)
% 2.27/2.42 nodes searched: 22407
% 2.27/2.42 max branch formulas: 5160
% 2.27/2.42 proof nodes created: 1157
% 2.27/2.42 formulas created: 150721
% 2.27/2.42
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