TSTP Solution File: COM016+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : COM016+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n009.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 : Fri Jul 15 01:53:00 EDT 2022
% Result : Theorem 2.14s 2.32s
% Output : Proof 2.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM016+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n009.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 Jun 16 19:12:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.14/2.32 (* PROOF-FOUND *)
% 2.14/2.32 % SZS status Theorem
% 2.14/2.32 (* BEGIN-PROOF *)
% 2.14/2.32 % SZS output start Proof
% 2.14/2.32 Theorem m__ : (exists W0 : zenon_U, ((aElement0 W0)/\((aReductOfIn0 W0 (xa) (xR))/\(sdtmndtasgtdt0 W0 (xR) (xb))))).
% 2.14/2.32 Proof.
% 2.14/2.32 assert (zenon_L1_ : (~((xb) = (xb))) -> False).
% 2.14/2.32 do 0 intro. intros zenon_H14.
% 2.14/2.32 apply zenon_H14. apply refl_equal.
% 2.14/2.32 (* end of lemma zenon_L1_ *)
% 2.14/2.32 apply NNPP. intro zenon_G.
% 2.14/2.32 apply (zenon_and_s _ _ m__731). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 2.14/2.32 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 2.14/2.32 apply (zenon_and_s _ _ m__731_02). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 2.14/2.32 apply zenon_G. exists (xb). apply NNPP. zenon_intro zenon_H1b.
% 2.14/2.32 apply (zenon_notand_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ].
% 2.14/2.32 exact (zenon_H1d zenon_H18).
% 2.14/2.32 apply (zenon_notand_s _ _ zenon_H1c); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ].
% 2.14/2.32 generalize (mTCDef (xa)). zenon_intro zenon_H20.
% 2.14/2.32 generalize (zenon_H20 (xR)). zenon_intro zenon_H21.
% 2.14/2.32 generalize (zenon_H21 (xb)). zenon_intro zenon_H22.
% 2.14/2.32 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 2.14/2.32 apply (zenon_notand_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ].
% 2.14/2.32 exact (zenon_H26 zenon_H16).
% 2.14/2.32 apply (zenon_notand_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H1d ].
% 2.14/2.32 exact (zenon_H27 m__656).
% 2.14/2.32 exact (zenon_H1d zenon_H18).
% 2.14/2.32 apply (zenon_equiv_s _ _ zenon_H23); [ zenon_intro zenon_H2a; zenon_intro zenon_H29 | zenon_intro zenon_H1a; zenon_intro zenon_H28 ].
% 2.14/2.32 exact (zenon_H2a zenon_H1a).
% 2.14/2.32 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 2.14/2.32 exact (zenon_H1f zenon_H2c).
% 2.14/2.32 elim zenon_H2b. zenon_intro zenon_TW3_bt. zenon_intro zenon_H2e.
% 2.14/2.32 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 2.14/2.32 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H32. zenon_intro zenon_H31.
% 2.14/2.32 generalize (mTCRDef zenon_TW3_bt). zenon_intro zenon_H33.
% 2.14/2.32 apply zenon_G. exists zenon_TW3_bt. apply NNPP. zenon_intro zenon_H34.
% 2.14/2.32 apply (zenon_notand_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ].
% 2.14/2.32 exact (zenon_H36 zenon_H30).
% 2.14/2.32 apply (zenon_notand_s _ _ zenon_H35); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 2.14/2.32 exact (zenon_H38 zenon_H32).
% 2.14/2.32 generalize (zenon_H33 (xR)). zenon_intro zenon_H39.
% 2.14/2.32 generalize (zenon_H39 (xb)). zenon_intro zenon_H3a.
% 2.14/2.32 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 2.14/2.32 apply (zenon_notand_s _ _ zenon_H3c); [ zenon_intro zenon_H36 | zenon_intro zenon_H25 ].
% 2.14/2.32 exact (zenon_H36 zenon_H30).
% 2.14/2.32 apply (zenon_notand_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H1d ].
% 2.14/2.32 exact (zenon_H27 m__656).
% 2.14/2.32 exact (zenon_H1d zenon_H18).
% 2.14/2.32 apply (zenon_equiv_s _ _ zenon_H3b); [ zenon_intro zenon_H37; zenon_intro zenon_H3f | zenon_intro zenon_H3e; zenon_intro zenon_H3d ].
% 2.14/2.32 apply (zenon_notor_s _ _ zenon_H3f). zenon_intro zenon_H41. zenon_intro zenon_H40.
% 2.14/2.32 exact (zenon_H40 zenon_H31).
% 2.14/2.32 exact (zenon_H37 zenon_H3e).
% 2.14/2.32 generalize (mTCRDef (xb)). zenon_intro zenon_H42.
% 2.14/2.32 generalize (zenon_H42 (xR)). zenon_intro zenon_H43.
% 2.14/2.32 generalize (zenon_H43 (xb)). zenon_intro zenon_H44.
% 2.14/2.32 apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ].
% 2.14/2.32 apply (zenon_notand_s _ _ zenon_H46); [ zenon_intro zenon_H1d | zenon_intro zenon_H25 ].
% 2.14/2.32 exact (zenon_H1d zenon_H18).
% 2.14/2.32 apply (zenon_notand_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H1d ].
% 2.14/2.32 exact (zenon_H27 m__656).
% 2.14/2.32 exact (zenon_H1d zenon_H18).
% 2.14/2.32 apply (zenon_equiv_s _ _ zenon_H45); [ zenon_intro zenon_H1e; zenon_intro zenon_H49 | zenon_intro zenon_H48; zenon_intro zenon_H47 ].
% 2.14/2.32 apply (zenon_notor_s _ _ zenon_H49). zenon_intro zenon_H14. zenon_intro zenon_H4a.
% 2.14/2.32 apply zenon_H14. apply refl_equal.
% 2.14/2.32 exact (zenon_H1e zenon_H48).
% 2.14/2.32 Qed.
% 2.14/2.32 % SZS output end Proof
% 2.14/2.32 (* END-PROOF *)
% 2.14/2.32 nodes searched: 119455
% 2.14/2.32 max branch formulas: 6954
% 2.14/2.32 proof nodes created: 4328
% 2.14/2.32 formulas created: 316883
% 2.14/2.32
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