%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SET625+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 : 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 05:42:55 EDT 2022

% Result   : Theorem 0.21s 0.41s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET625+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.14  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul 10 11:28:41 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.41  % SZS status Theorem
% 0.21/0.41  (* PROOF-FOUND *)
% 0.21/0.41  (* BEGIN-PROOF *)
% 0.21/0.41  % SZS output start Proof
% 0.21/0.41  1. (member T_0 T_1) (-. (member T_0 T_1))   ### Axiom
% 0.21/0.41  2. (member T_0 T_2) (-. (member T_0 T_2))   ### Axiom
% 0.21/0.41  3. (member T_0 T_3) (-. (member T_0 T_3))   ### Axiom
% 0.21/0.41  4. (-. ((member T_0 T_2) /\ (member T_0 T_3))) (member T_0 T_3) (member T_0 T_2)   ### NotAnd 2 3
% 0.21/0.41  5. (-. (Ex D, ((member D T_2) /\ (member D T_3)))) (member T_0 T_2) (member T_0 T_3)   ### NotExists 4
% 0.21/0.41  6. ((member T_0 T_1) => (member T_0 T_3)) (member T_0 T_2) (-. (Ex D, ((member D T_2) /\ (member D T_3)))) (member T_0 T_1)   ### Imply 1 5
% 0.21/0.41  7. (All D, ((member D T_1) => (member D T_3))) (member T_0 T_1) (-. (Ex D, ((member D T_2) /\ (member D T_3)))) (member T_0 T_2)   ### All 6
% 0.21/0.41  8. (-. (intersect T_2 T_3)) (member T_0 T_2) (member T_0 T_1) (All D, ((member D T_1) => (member D T_3)))   ### Definition-Pseudo(intersect) 7
% 0.21/0.41  9. (subset T_1 T_3) (member T_0 T_1) (member T_0 T_2) (-. (intersect T_2 T_3))   ### Definition-Pseudo(subset) 8
% 0.21/0.41  10. ((member T_0 T_2) /\ (member T_0 T_1)) (-. (intersect T_2 T_3)) (subset T_1 T_3)   ### And 9
% 0.21/0.41  11. (Ex D, ((member D T_2) /\ (member D T_1))) (subset T_1 T_3) (-. (intersect T_2 T_3))   ### Exists 10
% 0.21/0.41  12. (intersect T_2 T_1) (-. (intersect T_2 T_3)) (subset T_1 T_3)   ### Definition-Pseudo(intersect) 11
% 0.21/0.41  13. (-. (((intersect T_2 T_1) /\ (subset T_1 T_3)) => (intersect T_2 T_3)))   ### ConjTree 12
% 0.21/0.41  14. (-. (All D, (((intersect T_2 T_1) /\ (subset T_1 D)) => (intersect T_2 D))))   ### NotAllEx 13
% 0.21/0.41  15. (-. (All C, (All D, (((intersect T_2 C) /\ (subset C D)) => (intersect T_2 D)))))   ### NotAllEx 14
% 0.21/0.41  16. (-. (All B, (All C, (All D, (((intersect B C) /\ (subset C D)) => (intersect B D))))))   ### NotAllEx 15
% 0.21/0.41  % SZS output end Proof
% 0.21/0.41  (* END-PROOF *)
%------------------------------------------------------------------------------