%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SET926+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 : 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 05:45:04 EDT 2022

% Result   : Theorem 0.20s 0.41s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET926+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 10:04:02 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.41  % SZS status Theorem
% 0.20/0.41  (* PROOF-FOUND *)
% 0.20/0.41  (* BEGIN-PROOF *)
% 0.20/0.41  % SZS output start Proof
% 0.20/0.41  1. (in T_0 T_1) (-. (in T_0 T_1))   ### Axiom
% 0.20/0.41  2. ((set_difference (singleton T_0) T_1) != (empty_set)) ((set_difference (singleton T_0) T_1) = (empty_set))   ### Axiom
% 0.20/0.41  3. (((set_difference (singleton T_0) T_1) = (empty_set)) <=> (in T_0 T_1)) ((set_difference (singleton T_0) T_1) != (empty_set)) (in T_0 T_1)   ### Equiv 1 2
% 0.20/0.41  4. (All B, (((set_difference (singleton T_0) B) = (empty_set)) <=> (in T_0 B))) (in T_0 T_1) ((set_difference (singleton T_0) T_1) != (empty_set))   ### All 3
% 0.20/0.41  5. (All A, (All B, (((set_difference (singleton A) B) = (empty_set)) <=> (in A B)))) ((set_difference (singleton T_0) T_1) != (empty_set)) (in T_0 T_1)   ### All 4
% 0.20/0.41  6. ((set_difference (singleton T_0) T_1) != (singleton T_0)) ((set_difference (singleton T_0) T_1) != (empty_set)) (All A, (All B, (((set_difference (singleton A) B) = (empty_set)) <=> (in A B))))   ### Extension/test/not_l34_zfmisc_1 5
% 0.20/0.41  7. (-. (((set_difference (singleton T_0) T_1) = (empty_set)) \/ ((set_difference (singleton T_0) T_1) = (singleton T_0)))) (All A, (All B, (((set_difference (singleton A) B) = (empty_set)) <=> (in A B))))   ### NotOr 6
% 0.20/0.41  8. (-. (All B, (((set_difference (singleton T_0) B) = (empty_set)) \/ ((set_difference (singleton T_0) B) = (singleton T_0))))) (All A, (All B, (((set_difference (singleton A) B) = (empty_set)) <=> (in A B))))   ### NotAllEx 7
% 0.20/0.41  9. (-. (All A, (All B, (((set_difference (singleton A) B) = (empty_set)) \/ ((set_difference (singleton A) B) = (singleton A)))))) (All A, (All B, (((set_difference (singleton A) B) = (empty_set)) <=> (in A B))))   ### NotAllEx 8
% 0.20/0.41  % SZS output end Proof
% 0.20/0.41  (* END-PROOF *)
%------------------------------------------------------------------------------