%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SET194+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% Computer : n017.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 05:40:15 EDT 2022

% Result   : Theorem 0.19s 0.42s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : SET194+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34  % Computer : n017.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 Jul 10 12:46:02 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.19/0.42  % SZS status Theorem
% 0.19/0.42  (* PROOF-FOUND *)
% 0.19/0.42  (* BEGIN-PROOF *)
% 0.19/0.42  % SZS output start Proof
% 0.19/0.42  1. (member T_0 T_1) (-. (member T_0 T_1))   ### Axiom
% 0.19/0.42  2. (-. ((member T_0 T_1) \/ (member T_0 T_2))) (member T_0 T_1)   ### NotOr 1
% 0.19/0.42  3. (-. (member T_0 (union T_1 T_2))) (member T_0 (union T_1 T_2))   ### Axiom
% 0.19/0.42  4. ((member T_0 (union T_1 T_2)) <=> ((member T_0 T_1) \/ (member T_0 T_2))) (-. (member T_0 (union T_1 T_2))) (member T_0 T_1)   ### Equiv 2 3
% 0.19/0.42  5. (All D, ((member D (union T_1 T_2)) <=> ((member D T_1) \/ (member D T_2)))) (member T_0 T_1) (-. (member T_0 (union T_1 T_2)))   ### All 4
% 0.19/0.42  6. (All C, (All D, ((member D (union T_1 C)) <=> ((member D T_1) \/ (member D C))))) (-. (member T_0 (union T_1 T_2))) (member T_0 T_1)   ### All 5
% 0.19/0.42  7. (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (member T_0 T_1) (-. (member T_0 (union T_1 T_2)))   ### All 6
% 0.19/0.42  8. (-. ((member T_0 T_1) => (member T_0 (union T_1 T_2)))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C))))))   ### NotImply 7
% 0.19/0.42  9. (-. (All D, ((member D T_1) => (member D (union T_1 T_2))))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C))))))   ### NotAllEx 8
% 0.19/0.42  10. (-. (subset T_1 (union T_1 T_2))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C))))))   ### Definition-Pseudo(subset) 9
% 0.19/0.42  11. (-. (All C, (subset T_1 (union T_1 C)))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C))))))   ### NotAllEx 10
% 0.19/0.42  12. (-. (All B, (All C, (subset B (union B C))))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C))))))   ### NotAllEx 11
% 0.19/0.42  % SZS output end Proof
% 0.19/0.42  (* END-PROOF *)
%------------------------------------------------------------------------------