TSTP Solution File: NUM432+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : NUM432+1 : 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 15:55:36 EDT 2022
% Result : Theorem 2.33s 2.51s
% Output : Proof 2.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM432+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jul 7 22:35:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.33/2.51 (* PROOF-FOUND *)
% 2.33/2.51 % SZS status Theorem
% 2.33/2.51 (* BEGIN-PROOF *)
% 2.33/2.51 % SZS output start Proof
% 2.33/2.51 Theorem m__ : (sdteqdtlpzmzozddtrp0 (xa) (xc) (xq)).
% 2.33/2.51 Proof.
% 2.33/2.51 apply NNPP. intro zenon_G.
% 2.33/2.51 apply (zenon_and_s _ _ m__818). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 2.33/2.51 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 2.33/2.51 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f.
% 2.33/2.51 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H22. zenon_intro zenon_H21.
% 2.33/2.51 apply (zenon_and_s _ _ m__876). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 2.33/2.51 apply (zenon_and_s _ _ m__899). zenon_intro zenon_H26. zenon_intro zenon_H25.
% 2.33/2.51 generalize (mEquMod (xa)). zenon_intro zenon_H27.
% 2.33/2.51 generalize (zenon_H27 (xc)). zenon_intro zenon_H28.
% 2.33/2.51 generalize (zenon_H28 (xq)). zenon_intro zenon_H29.
% 2.33/2.51 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ].
% 2.33/2.51 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 2.33/2.51 exact (zenon_H2d zenon_H1c).
% 2.33/2.51 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H2f | zenon_intro zenon_H2e ].
% 2.33/2.51 exact (zenon_H2f zenon_H21).
% 2.33/2.51 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ].
% 2.33/2.51 exact (zenon_H31 zenon_H20).
% 2.33/2.51 exact (zenon_H30 zenon_H22).
% 2.33/2.51 apply (zenon_equiv_s _ _ zenon_H2a); [ zenon_intro zenon_G; zenon_intro zenon_H34 | zenon_intro zenon_H33; zenon_intro zenon_H32 ].
% 2.33/2.51 generalize (mDivisor (sdtpldt0 (xa) (smndt0 (xc)))). zenon_intro zenon_H35.
% 2.33/2.51 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ].
% 2.33/2.51 generalize (mIntPlus (xa)). zenon_intro zenon_H38.
% 2.33/2.51 generalize (zenon_H38 (smndt0 (xc))). zenon_intro zenon_H39.
% 2.33/2.51 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ].
% 2.33/2.51 apply (zenon_notand_s _ _ zenon_H3b); [ zenon_intro zenon_H2d | zenon_intro zenon_H3c ].
% 2.33/2.51 exact (zenon_H2d zenon_H1c).
% 2.33/2.51 generalize (mIntNeg (xc)). zenon_intro zenon_H3d.
% 2.33/2.51 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H2f | zenon_intro zenon_H3e ].
% 2.33/2.51 exact (zenon_H2f zenon_H21).
% 2.33/2.51 exact (zenon_H3c zenon_H3e).
% 2.33/2.51 exact (zenon_H37 zenon_H3a).
% 2.33/2.51 generalize (zenon_H36 (xq)). zenon_intro zenon_H3f.
% 2.33/2.51 apply (zenon_equiv_s _ _ zenon_H3f); [ zenon_intro zenon_H34; zenon_intro zenon_H41 | zenon_intro zenon_H32; zenon_intro zenon_H40 ].
% 2.33/2.51 apply (zenon_notand_s _ _ zenon_H41); [ zenon_intro zenon_H31 | zenon_intro zenon_H42 ].
% 2.33/2.51 exact (zenon_H31 zenon_H20).
% 2.33/2.51 apply (zenon_notand_s _ _ zenon_H42); [ zenon_intro zenon_H30 | zenon_intro zenon_H43 ].
% 2.33/2.51 exact (zenon_H30 zenon_H22).
% 2.33/2.51 apply zenon_H43. exists (sdtpldt0 (xn) (xm)). apply NNPP. zenon_intro zenon_H44.
% 2.33/2.51 apply (zenon_notand_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ].
% 2.33/2.51 generalize (mIntPlus (xn)). zenon_intro zenon_H47.
% 2.33/2.51 generalize (zenon_H47 (xm)). zenon_intro zenon_H48.
% 2.33/2.51 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 2.33/2.51 apply (zenon_notand_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ].
% 2.33/2.51 exact (zenon_H4c zenon_H24).
% 2.33/2.51 exact (zenon_H4b zenon_H26).
% 2.33/2.51 exact (zenon_H46 zenon_H49).
% 2.33/2.51 exact (zenon_H45 m__924).
% 2.33/2.51 exact (zenon_H34 zenon_H32).
% 2.33/2.51 exact (zenon_G zenon_H33).
% 2.33/2.51 Qed.
% 2.33/2.51 % SZS output end Proof
% 2.33/2.51 (* END-PROOF *)
% 2.33/2.51 nodes searched: 15748
% 2.33/2.51 max branch formulas: 3232
% 2.33/2.51 proof nodes created: 735
% 2.33/2.51 formulas created: 135139
% 2.33/2.51
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