%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SET063+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% Computer : n027.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 05:38:51 EDT 2022

% Result   : Theorem 0.18s 0.39s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET063+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 21:59:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.39  % SZS status Theorem
% 0.18/0.39  (* PROOF-FOUND *)
% 0.18/0.39  (* BEGIN-PROOF *)
% 0.18/0.39  % SZS output start Proof
% 0.18/0.39  1. (member T_0 (empty_set)) (-. (member T_0 (empty_set)))   ### Axiom
% 0.18/0.39  2. (All B, (-. (member B (empty_set)))) (member T_0 (empty_set))   ### All 1
% 0.18/0.39  3. (-. ((member T_0 (empty_set)) => (member T_0 T_1))) (All B, (-. (member B (empty_set))))   ### NotImply 2
% 0.18/0.39  4. (-. (All D, ((member D (empty_set)) => (member D T_1)))) (All B, (-. (member B (empty_set))))   ### NotAllEx 3
% 0.18/0.39  5. (-. (subset (empty_set) T_1)) (All B, (-. (member B (empty_set))))   ### Definition-Pseudo(subset) 4
% 0.18/0.39  6. (All D, ((member D T_1) => (member D (empty_set)))) (-. (All D, ((member D T_1) => (member D (empty_set)))))   ### Axiom
% 0.18/0.39  7. (-. (subset T_1 (empty_set))) (All D, ((member D T_1) => (member D (empty_set))))   ### Definition-Pseudo(subset) 6
% 0.18/0.39  8. (-. ((subset (empty_set) T_1) /\ (subset T_1 (empty_set)))) (All D, ((member D T_1) => (member D (empty_set)))) (All B, (-. (member B (empty_set))))   ### NotAnd 5 7
% 0.18/0.39  9. (T_1 != (empty_set)) ((empty_set) = T_1)   ### Sym(=)
% 0.18/0.39  10. (((empty_set) = T_1) <=> ((subset (empty_set) T_1) /\ (subset T_1 (empty_set)))) (T_1 != (empty_set)) (All B, (-. (member B (empty_set)))) (All D, ((member D T_1) => (member D (empty_set))))   ### Equiv 8 9
% 0.18/0.39  11. (All C, (((empty_set) = C) <=> ((subset (empty_set) C) /\ (subset C (empty_set))))) (All D, ((member D T_1) => (member D (empty_set)))) (All B, (-. (member B (empty_set)))) (T_1 != (empty_set))   ### All 10
% 0.18/0.39  12. (All B, (All C, ((B = C) <=> ((subset B C) /\ (subset C B))))) (T_1 != (empty_set)) (All B, (-. (member B (empty_set)))) (All D, ((member D T_1) => (member D (empty_set))))   ### All 11
% 0.18/0.39  13. (subset T_1 (empty_set)) (All B, (-. (member B (empty_set)))) (T_1 != (empty_set)) (All B, (All C, ((B = C) <=> ((subset B C) /\ (subset C B)))))   ### Definition-Pseudo(subset) 12
% 0.18/0.39  14. (-. ((subset T_1 (empty_set)) => (T_1 = (empty_set)))) (All B, (All C, ((B = C) <=> ((subset B C) /\ (subset C B))))) (All B, (-. (member B (empty_set))))   ### NotImply 13
% 0.18/0.39  15. (-. (All B, ((subset B (empty_set)) => (B = (empty_set))))) (All B, (-. (member B (empty_set)))) (All B, (All C, ((B = C) <=> ((subset B C) /\ (subset C B)))))   ### NotAllEx 14
% 0.18/0.39  % SZS output end Proof
% 0.18/0.39  (* END-PROOF *)
%------------------------------------------------------------------------------