%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SET867+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% 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 : Tue Jul 19 05:44:42 EDT 2022

% Result   : Theorem 0.72s 0.90s
% Output   : Proof 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SET867+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 02:19:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.72/0.90  % SZS status Theorem
% 0.72/0.90  (* PROOF-FOUND *)
% 0.72/0.90  (* BEGIN-PROOF *)
% 0.72/0.90  % SZS output start Proof
% 0.72/0.90  1. ((empty_set) != (empty_set))   ### NotEqual
% 0.72/0.90  2. (in T_0 (empty_set)) (-. (in T_0 (empty_set)))   ### Axiom
% 0.72/0.90  3. (All B, (-. (in B (empty_set)))) (in T_0 (empty_set))   ### All 2
% 0.72/0.90  4. (((empty_set) = (empty_set)) <=> (All B, (-. (in B (empty_set))))) (in T_0 (empty_set))   ### Equiv 1 3
% 0.72/0.90  5. (All A, ((A = (empty_set)) <=> (All B, (-. (in B A))))) (in T_0 (empty_set))   ### All 4
% 0.72/0.90  6. ((in T_1 T_0) /\ (in T_0 (empty_set))) (All A, ((A = (empty_set)) <=> (All B, (-. (in B A)))))   ### And 5
% 0.72/0.90  7. (Ex D, ((in T_1 D) /\ (in D (empty_set)))) (All A, ((A = (empty_set)) <=> (All B, (-. (in B A)))))   ### Exists 6
% 0.72/0.90  8. (in T_1 (empty_set)) (-. (in T_1 (empty_set)))   ### Axiom
% 0.72/0.90  9. (All B, (-. (in B (empty_set)))) (in T_1 (empty_set))   ### All 8
% 0.72/0.90  10. (((empty_set) = (empty_set)) <=> (All B, (-. (in B (empty_set))))) (in T_1 (empty_set))   ### Equiv 1 9
% 0.72/0.90  11. (All A, ((A = (empty_set)) <=> (All B, (-. (in B A))))) (in T_1 (empty_set))   ### All 10
% 0.72/0.90  12. (-. ((in T_1 (empty_set)) <=> (Ex D, ((in T_1 D) /\ (in D (empty_set)))))) (All A, ((A = (empty_set)) <=> (All B, (-. (in B A)))))   ### NotEquiv 7 11
% 0.72/0.90  13. (-. (All C, ((in C (empty_set)) <=> (Ex D, ((in C D) /\ (in D (empty_set))))))) (All A, ((A = (empty_set)) <=> (All B, (-. (in B A)))))   ### NotAllEx 12
% 0.72/0.90  14. ((union (empty_set)) != (empty_set)) ((empty_set) = (union (empty_set)))   ### Sym(=)
% 0.72/0.90  15. (((empty_set) = (union (empty_set))) <=> (All C, ((in C (empty_set)) <=> (Ex D, ((in C D) /\ (in D (empty_set))))))) ((union (empty_set)) != (empty_set)) (All A, ((A = (empty_set)) <=> (All B, (-. (in B A)))))   ### Equiv 13 14
% 0.72/0.90  16. (All B, ((B = (union (empty_set))) <=> (All C, ((in C B) <=> (Ex D, ((in C D) /\ (in D (empty_set)))))))) (All A, ((A = (empty_set)) <=> (All B, (-. (in B A))))) ((union (empty_set)) != (empty_set))   ### All 15
% 0.72/0.90  17. (All A, (All B, ((B = (union A)) <=> (All C, ((in C B) <=> (Ex D, ((in C D) /\ (in D A)))))))) ((union (empty_set)) != (empty_set)) (All A, ((A = (empty_set)) <=> (All B, (-. (in B A)))))   ### All 16
% 0.72/0.90  % SZS output end Proof
% 0.72/0.90  (* END-PROOF *)
%------------------------------------------------------------------------------