%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SET880+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 : n029.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 05:44:46 EDT 2022

% Result   : Theorem 3.45s 3.63s
% Output   : Proof 3.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET880+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33  % Computer : n029.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 04:07:16 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 3.45/3.63  % SZS status Theorem
% 3.45/3.63  (* PROOF-FOUND *)
% 3.45/3.63  (* BEGIN-PROOF *)
% 3.45/3.63  % SZS output start Proof
% 3.45/3.63  1. ((singleton T_0) != (singleton T_0))   ### Refl(=)
% 3.45/3.63  2. ((set_difference (singleton T_1) (singleton T_0)) = (empty_set)) ((set_difference (singleton T_1) (singleton T_0)) != (empty_set))   ### Axiom
% 3.45/3.63  3. (-. (in T_1 (singleton T_0))) ((set_difference (singleton T_1) (singleton T_0)) = (empty_set))   ### Definition-Pseudo(in) 2
% 3.45/3.63  4. (T_1 != T_0) (T_1 = T_0)   ### Axiom
% 3.45/3.63  5. ((in T_1 (singleton T_0)) <=> (T_1 = T_0)) (T_1 != T_0) ((set_difference (singleton T_1) (singleton T_0)) = (empty_set))   ### Equiv 3 4
% 3.45/3.63  6. (All C, ((in C (singleton T_0)) <=> (C = T_0))) ((set_difference (singleton T_1) (singleton T_0)) = (empty_set)) (T_1 != T_0)   ### All 5
% 3.45/3.63  7. (((singleton T_0) = (singleton T_0)) <=> (All C, ((in C (singleton T_0)) <=> (C = T_0)))) (T_1 != T_0) ((set_difference (singleton T_1) (singleton T_0)) = (empty_set))   ### Equiv 1 6
% 3.45/3.63  8. (All B, ((B = (singleton T_0)) <=> (All C, ((in C B) <=> (C = T_0))))) ((set_difference (singleton T_1) (singleton T_0)) = (empty_set)) (T_1 != T_0)   ### All 7
% 3.45/3.63  9. (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) (T_1 != T_0) ((set_difference (singleton T_1) (singleton T_0)) = (empty_set))   ### All 8
% 3.45/3.63  10. (-. (((set_difference (singleton T_1) (singleton T_0)) = (empty_set)) => (T_1 = T_0))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A))))))   ### NotImply 9
% 3.45/3.63  11. (-. (All B, (((set_difference (singleton T_1) (singleton B)) = (empty_set)) => (T_1 = B)))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A))))))   ### NotAllEx 10
% 3.45/3.63  12. (-. (All A, (All B, (((set_difference (singleton A) (singleton B)) = (empty_set)) => (A = B))))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A))))))   ### NotAllEx 11
% 3.45/3.63  % SZS output end Proof
% 3.45/3.63  (* END-PROOF *)
%------------------------------------------------------------------------------