TSTP Solution File: SEU123+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SEU123+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n015.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 : Tue Jul 19 15:59:30 EDT 2022
% Result : Theorem 0.20s 0.59s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU123+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n015.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 : Sun Jun 19 17:08:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.59 Zenon warning: unused variable (B : zenon_U) in idempotence_k3_xboole_0
% 0.20/0.59 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.20/0.59 (* PROOF-FOUND *)
% 0.20/0.59 % SZS status Theorem
% 0.20/0.59 (* BEGIN-PROOF *)
% 0.20/0.59 % SZS output start Proof
% 0.20/0.59 Theorem t3_xboole_1 : (forall A : zenon_U, ((subset A (empty_set))->(A = (empty_set)))).
% 0.20/0.59 Proof.
% 0.20/0.59 apply NNPP. intro zenon_G.
% 0.20/0.59 apply (zenon_notallex_s (fun A : zenon_U => ((subset A (empty_set))->(A = (empty_set)))) zenon_G); [ zenon_intro zenon_H16; idtac ].
% 0.20/0.59 elim zenon_H16. zenon_intro zenon_TA_x. zenon_intro zenon_H18.
% 0.20/0.59 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.20/0.59 generalize (d3_tarski zenon_TA_x). zenon_intro zenon_H1b.
% 0.20/0.59 generalize (zenon_H1b (empty_set)). zenon_intro zenon_H1c.
% 0.20/0.59 apply (zenon_equiv_s _ _ zenon_H1c); [ zenon_intro zenon_H1f; zenon_intro zenon_H1e | zenon_intro zenon_H1a; zenon_intro zenon_H1d ].
% 0.20/0.59 exact (zenon_H1f zenon_H1a).
% 0.20/0.59 generalize (d10_xboole_0 (empty_set)). zenon_intro zenon_H20.
% 0.20/0.59 generalize (t2_xboole_1 zenon_TA_x). zenon_intro zenon_H21.
% 0.20/0.59 generalize (d3_tarski (empty_set)). zenon_intro zenon_H22.
% 0.20/0.59 generalize (zenon_H22 zenon_TA_x). zenon_intro zenon_H23.
% 0.20/0.59 apply (zenon_equiv_s _ _ zenon_H23); [ zenon_intro zenon_H26; zenon_intro zenon_H25 | zenon_intro zenon_H21; zenon_intro zenon_H24 ].
% 0.20/0.59 exact (zenon_H26 zenon_H21).
% 0.20/0.59 generalize (zenon_H20 zenon_TA_x). zenon_intro zenon_H27.
% 0.20/0.59 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H2b; zenon_intro zenon_H2a | zenon_intro zenon_H29; zenon_intro zenon_H28 ].
% 0.20/0.59 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H26 | zenon_intro zenon_H1f ].
% 0.20/0.59 generalize (d3_tarski (empty_set)). zenon_intro zenon_H22.
% 0.20/0.59 generalize (zenon_H22 zenon_TA_x). zenon_intro zenon_H23.
% 0.20/0.59 apply (zenon_equiv_s _ _ zenon_H23); [ zenon_intro zenon_H26; zenon_intro zenon_H25 | zenon_intro zenon_H21; zenon_intro zenon_H24 ].
% 0.20/0.59 exact (zenon_H25 zenon_H24).
% 0.20/0.59 exact (zenon_H26 zenon_H21).
% 0.20/0.59 generalize (d3_tarski zenon_TA_x). zenon_intro zenon_H1b.
% 0.20/0.59 generalize (zenon_H1b (empty_set)). zenon_intro zenon_H1c.
% 0.20/0.59 apply (zenon_equiv_s _ _ zenon_H1c); [ zenon_intro zenon_H1f; zenon_intro zenon_H1e | zenon_intro zenon_H1a; zenon_intro zenon_H1d ].
% 0.20/0.59 exact (zenon_H1e zenon_H1d).
% 0.20/0.59 exact (zenon_H1f zenon_H1a).
% 0.20/0.59 apply zenon_H19. apply sym_equal. exact zenon_H29.
% 0.20/0.59 Qed.
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 (* END-PROOF *)
% 0.20/0.59 nodes searched: 2313
% 0.20/0.59 max branch formulas: 544
% 0.20/0.59 proof nodes created: 158
% 0.20/0.59 formulas created: 10969
% 0.20/0.59
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