%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SEU294+3 : 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 : n016.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 14:50:00 EDT 2022

% Result   : Theorem 2.73s 2.93s
% Output   : Proof 2.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU294+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jun 20 09:42:40 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 2.73/2.93  % SZS status Theorem
% 2.73/2.93  (* PROOF-FOUND *)
% 2.73/2.93  (* BEGIN-PROOF *)
% 2.73/2.93  % SZS output start Proof
% 2.73/2.93  1. (finite T_0) (-. (finite T_0))   ### Axiom
% 2.73/2.93  2. (subset T_1 T_0) (-. (subset T_1 T_0))   ### Axiom
% 2.73/2.93  3. (-. (element T_1 (powerset T_0))) (element T_1 (powerset T_0))   ### Axiom
% 2.73/2.93  4. ((element T_1 (powerset T_0)) <=> (subset T_1 T_0)) (-. (element T_1 (powerset T_0))) (subset T_1 T_0)   ### Equiv 2 3
% 2.73/2.93  5. (All B, ((element T_1 (powerset B)) <=> (subset T_1 B))) (subset T_1 T_0) (-. (element T_1 (powerset T_0)))   ### All 4
% 2.73/2.93  6. (-. (finite T_1)) (finite T_1)   ### Axiom
% 2.73/2.93  7. ((element T_1 (powerset T_0)) => (finite T_1)) (-. (finite T_1)) (subset T_1 T_0) (All B, ((element T_1 (powerset B)) <=> (subset T_1 B)))   ### Imply 5 6
% 2.73/2.93  8. (All B, ((element B (powerset T_0)) => (finite B))) (All B, ((element T_1 (powerset B)) <=> (subset T_1 B))) (subset T_1 T_0) (-. (finite T_1))   ### All 7
% 2.73/2.93  9. ((finite T_0) => (All B, ((element B (powerset T_0)) => (finite B)))) (-. (finite T_1)) (subset T_1 T_0) (All B, ((element T_1 (powerset B)) <=> (subset T_1 B))) (finite T_0)   ### Imply 1 8
% 2.73/2.93  10. (All A, ((finite A) => (All B, ((element B (powerset A)) => (finite B))))) (finite T_0) (All B, ((element T_1 (powerset B)) <=> (subset T_1 B))) (subset T_1 T_0) (-. (finite T_1))   ### All 9
% 2.73/2.93  11. (All A, (All B, ((element A (powerset B)) <=> (subset A B)))) (-. (finite T_1)) (subset T_1 T_0) (finite T_0) (All A, ((finite A) => (All B, ((element B (powerset A)) => (finite B)))))   ### All 10
% 2.73/2.93  12. (-. (((subset T_1 T_0) /\ (finite T_0)) => (finite T_1))) (All A, ((finite A) => (All B, ((element B (powerset A)) => (finite B))))) (All A, (All B, ((element A (powerset B)) <=> (subset A B))))   ### ConjTree 11
% 2.73/2.93  13. (-. (All B, (((subset T_1 B) /\ (finite B)) => (finite T_1)))) (All A, (All B, ((element A (powerset B)) <=> (subset A B)))) (All A, ((finite A) => (All B, ((element B (powerset A)) => (finite B)))))   ### NotAllEx 12
% 2.73/2.93  14. (-. (All A, (All B, (((subset A B) /\ (finite B)) => (finite A))))) (All A, ((finite A) => (All B, ((element B (powerset A)) => (finite B))))) (All A, (All B, ((element A (powerset B)) <=> (subset A B))))   ### NotAllEx 13
% 2.73/2.93  % SZS output end Proof
% 2.73/2.93  (* END-PROOF *)
%------------------------------------------------------------------------------