%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SET881+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 : n026.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 5.70s 5.97s
% Output   : Proof 5.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET881+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33  % Computer : n026.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 12:07:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 5.70/5.97  % SZS status Theorem
% 5.70/5.97  (* PROOF-FOUND *)
% 5.70/5.97  (* BEGIN-PROOF *)
% 5.70/5.97  % SZS output start Proof
% 5.70/5.97  1. ((unordered_pair T_0 T_1) != (unordered_pair T_0 T_1))   ### Refl(=)
% 5.70/5.97  2. (T_0 != T_0)   ### Refl(=)
% 5.70/5.97  3. (-. ((T_0 = T_0) \/ (T_0 = T_1)))   ### NotOr 2
% 5.70/5.97  4. ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set)) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) = (empty_set))   ### Axiom
% 5.70/5.97  5. (in T_0 (unordered_pair T_0 T_1)) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set))   ### Definition-Pseudo(in) 4
% 5.70/5.97  6. ((in T_0 (unordered_pair T_0 T_1)) <=> ((T_0 = T_0) \/ (T_0 = T_1))) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set))   ### Equiv 3 5
% 5.70/5.97  7. (All D, ((in D (unordered_pair T_0 T_1)) <=> ((D = T_0) \/ (D = T_1)))) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set))   ### All 6
% 5.70/5.97  8. (((unordered_pair T_0 T_1) = (unordered_pair T_0 T_1)) <=> (All D, ((in D (unordered_pair T_0 T_1)) <=> ((D = T_0) \/ (D = T_1))))) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set))   ### Equiv 1 7
% 5.70/5.97  9. (All C, ((C = (unordered_pair T_0 T_1)) <=> (All D, ((in D C) <=> ((D = T_0) \/ (D = T_1)))))) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set))   ### All 8
% 5.70/5.97  10. (All B, (All C, ((C = (unordered_pair T_0 B)) <=> (All D, ((in D C) <=> ((D = T_0) \/ (D = B))))))) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set))   ### All 9
% 5.70/5.97  11. (All A, (All B, (All C, ((C = (unordered_pair A B)) <=> (All D, ((in D C) <=> ((D = A) \/ (D = B)))))))) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set))   ### All 10
% 5.70/5.97  12. (-. (All B, ((set_difference (singleton T_0) (unordered_pair T_0 B)) = (empty_set)))) (All A, (All B, (All C, ((C = (unordered_pair A B)) <=> (All D, ((in D C) <=> ((D = A) \/ (D = B))))))))   ### NotAllEx 11
% 5.70/5.97  13. (-. (All A, (All B, ((set_difference (singleton A) (unordered_pair A B)) = (empty_set))))) (All A, (All B, (All C, ((C = (unordered_pair A B)) <=> (All D, ((in D C) <=> ((D = A) \/ (D = B))))))))   ### NotAllEx 12
% 5.70/5.97  % SZS output end Proof
% 5.70/5.97  (* END-PROOF *)
%------------------------------------------------------------------------------