TSTP Solution File: SEU123+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : SEU123+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n023.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 15:59:29 EDT 2022
% Result : Theorem 0.20s 0.51s
% 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
% 0.08/0.13 % Problem : SEU123+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : run_zenon %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 20 05:59:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.20/0.51 (* PROOF-FOUND *)
% 0.20/0.51 % SZS status Theorem
% 0.20/0.51 (* BEGIN-PROOF *)
% 0.20/0.51 % SZS output start Proof
% 0.20/0.51 Theorem t3_xboole_1 : (forall A : zenon_U, ((subset A (empty_set))->(A = (empty_set)))).
% 0.20/0.51 Proof.
% 0.20/0.51 apply NNPP. intro zenon_G.
% 0.20/0.51 apply (zenon_notallex_s (fun A : zenon_U => ((subset A (empty_set))->(A = (empty_set)))) zenon_G); [ zenon_intro zenon_Hc; idtac ].
% 0.20/0.51 elim zenon_Hc. zenon_intro zenon_TA_n. zenon_intro zenon_He.
% 0.20/0.51 apply (zenon_notimply_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.20/0.51 generalize (d10_xboole_0 (empty_set)). zenon_intro zenon_H11.
% 0.20/0.51 generalize (zenon_H11 zenon_TA_n). zenon_intro zenon_H12.
% 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H12); [ zenon_intro zenon_H16; zenon_intro zenon_H15 | zenon_intro zenon_H14; zenon_intro zenon_H13 ].
% 0.20/0.51 apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 0.20/0.51 generalize (t2_xboole_1 zenon_TA_n). zenon_intro zenon_H19.
% 0.20/0.51 exact (zenon_H18 zenon_H19).
% 0.20/0.51 exact (zenon_H17 zenon_H10).
% 0.20/0.51 apply zenon_Hf. apply sym_equal. exact zenon_H14.
% 0.20/0.51 Qed.
% 0.20/0.51 % SZS output end Proof
% 0.20/0.51 (* END-PROOF *)
% 0.20/0.51 nodes searched: 56
% 0.20/0.51 max branch formulas: 57
% 0.20/0.51 proof nodes created: 10
% 0.20/0.51 formulas created: 406
% 0.20/0.51
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