TSTP Solution File: SEU123+1 by Zenon---0.7.1

View Problem - Process Solution

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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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