%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SEU123+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% Computer : n008.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 14:48:27 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU123+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34  % Computer : n008.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 : Sun Jun 19 17:01:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  (* PROOF-FOUND *)
% 0.19/0.44  (* BEGIN-PROOF *)
% 0.19/0.44  % SZS output start Proof
% 0.19/0.44  1. (All C, ((in C (empty_set)) => (in C T_0))) (-. (All C, ((in C (empty_set)) => (in C T_0))))   ### Axiom
% 0.19/0.44  2. (-. (subset (empty_set) T_0)) (All C, ((in C (empty_set)) => (in C T_0)))   ### Definition-Pseudo(subset) 1
% 0.19/0.44  3. (All C, ((in C T_0) => (in C (empty_set)))) (-. (All C, ((in C T_0) => (in C (empty_set)))))   ### Axiom
% 0.19/0.44  4. (-. (subset T_0 (empty_set))) (All C, ((in C T_0) => (in C (empty_set))))   ### Definition-Pseudo(subset) 3
% 0.19/0.44  5. (-. ((subset (empty_set) T_0) /\ (subset T_0 (empty_set)))) (All C, ((in C T_0) => (in C (empty_set)))) (All C, ((in C (empty_set)) => (in C T_0)))   ### NotAnd 2 4
% 0.19/0.44  6. (T_0 != (empty_set)) ((empty_set) = T_0)   ### Sym(=)
% 0.19/0.44  7. (((empty_set) = T_0) <=> ((subset (empty_set) T_0) /\ (subset T_0 (empty_set)))) (T_0 != (empty_set)) (All C, ((in C (empty_set)) => (in C T_0))) (All C, ((in C T_0) => (in C (empty_set))))   ### Equiv 5 6
% 0.19/0.44  8. (All B, (((empty_set) = B) <=> ((subset (empty_set) B) /\ (subset B (empty_set))))) (All C, ((in C T_0) => (in C (empty_set)))) (All C, ((in C (empty_set)) => (in C T_0))) (T_0 != (empty_set))   ### All 7
% 0.19/0.44  9. (subset (empty_set) T_0) (T_0 != (empty_set)) (All C, ((in C T_0) => (in C (empty_set)))) (All B, (((empty_set) = B) <=> ((subset (empty_set) B) /\ (subset B (empty_set)))))   ### Definition-Pseudo(subset) 8
% 0.19/0.44  10. (All A, (subset (empty_set) A)) (All B, (((empty_set) = B) <=> ((subset (empty_set) B) /\ (subset B (empty_set))))) (All C, ((in C T_0) => (in C (empty_set)))) (T_0 != (empty_set))   ### All 9
% 0.19/0.44  11. (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (T_0 != (empty_set)) (All C, ((in C T_0) => (in C (empty_set)))) (All A, (subset (empty_set) A))   ### All 10
% 0.19/0.44  12. (subset T_0 (empty_set)) (All A, (subset (empty_set) A)) (T_0 != (empty_set)) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A)))))   ### Definition-Pseudo(subset) 11
% 0.19/0.44  13. (-. ((subset T_0 (empty_set)) => (T_0 = (empty_set)))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (All A, (subset (empty_set) A))   ### NotImply 12
% 0.19/0.44  14. (-. (All A, ((subset A (empty_set)) => (A = (empty_set))))) (All A, (subset (empty_set) A)) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A)))))   ### NotAllEx 13
% 0.19/0.44  % SZS output end Proof
% 0.19/0.44  (* END-PROOF *)
%------------------------------------------------------------------------------