TSTP Solution File: NUM430+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM430+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n005.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 15:55:35 EDT 2022
% Result : Theorem 1.90s 2.08s
% Output : Proof 1.90s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM430+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n005.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 : Thu Jul 7 16:36:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.90/2.08 (* PROOF-FOUND *)
% 1.90/2.08 % SZS status Theorem
% 1.90/2.08 (* BEGIN-PROOF *)
% 1.90/2.08 % SZS output start Proof
% 1.90/2.08 Theorem m__ : (exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc)))))).
% 1.90/2.08 Proof.
% 1.90/2.08 apply NNPP. intro zenon_G.
% 1.90/2.08 apply (zenon_and_s _ _ m__818). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 1.90/2.08 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 1.90/2.08 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 1.90/2.08 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f.
% 1.90/2.08 apply (zenon_and_s _ _ m__853). zenon_intro zenon_H22. zenon_intro zenon_H21.
% 1.90/2.08 generalize (mDivisor (sdtpldt0 (xb) (smndt0 (xc)))). zenon_intro zenon_H23.
% 1.90/2.08 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 1.90/2.08 generalize (mIntPlus (xb)). zenon_intro zenon_H26.
% 1.90/2.08 generalize (zenon_H26 (smndt0 (xc))). zenon_intro zenon_H27.
% 1.90/2.08 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ].
% 1.90/2.08 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ].
% 1.90/2.08 exact (zenon_H2b zenon_H1c).
% 1.90/2.08 generalize (mIntNeg (xc)). zenon_intro zenon_H2c.
% 1.90/2.08 apply (zenon_imply_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 1.90/2.08 exact (zenon_H2e zenon_H1f).
% 1.90/2.08 exact (zenon_H2a zenon_H2d).
% 1.90/2.08 exact (zenon_H25 zenon_H28).
% 1.90/2.08 generalize (mEquMod (xb)). zenon_intro zenon_H2f.
% 1.90/2.08 generalize (zenon_H2f (xc)). zenon_intro zenon_H30.
% 1.90/2.08 generalize (zenon_H24 (xq)). zenon_intro zenon_H31.
% 1.90/2.08 apply (zenon_equiv_s _ _ zenon_H31); [ zenon_intro zenon_H35; zenon_intro zenon_H34 | zenon_intro zenon_H33; zenon_intro zenon_H32 ].
% 1.90/2.08 generalize (zenon_H30 (xq)). zenon_intro zenon_H36.
% 1.90/2.08 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 1.90/2.08 apply (zenon_notand_s _ _ zenon_H38); [ zenon_intro zenon_H2b | zenon_intro zenon_H39 ].
% 1.90/2.08 exact (zenon_H2b zenon_H1c).
% 1.90/2.08 apply (zenon_notand_s _ _ zenon_H39); [ zenon_intro zenon_H2e | zenon_intro zenon_H3a ].
% 1.90/2.08 exact (zenon_H2e zenon_H1f).
% 1.90/2.08 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 1.90/2.08 exact (zenon_H3c zenon_H1e).
% 1.90/2.08 exact (zenon_H3b zenon_H20).
% 1.90/2.08 apply (zenon_equiv_s _ _ zenon_H37); [ zenon_intro zenon_H3d; zenon_intro zenon_H35 | zenon_intro zenon_H21; zenon_intro zenon_H33 ].
% 1.90/2.08 exact (zenon_H3d zenon_H21).
% 1.90/2.08 exact (zenon_H35 zenon_H33).
% 1.90/2.08 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H1e. zenon_intro zenon_H3e.
% 1.90/2.08 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H20. zenon_intro zenon_H3f.
% 1.90/2.08 exact (zenon_G zenon_H3f).
% 1.90/2.08 Qed.
% 1.90/2.08 % SZS output end Proof
% 1.90/2.08 (* END-PROOF *)
% 1.90/2.08 nodes searched: 8698
% 1.90/2.08 max branch formulas: 3047
% 1.90/2.08 proof nodes created: 402
% 1.90/2.08 formulas created: 116672
% 1.90/2.08
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