TSTP Solution File: SET694+4 by SuperZenon---0.0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SET694+4 : 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 : n005.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 05:43:25 EDT 2022

% Result   : Theorem 0.20s 0.43s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET694+4 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34  % Computer : n005.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 09:08:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.43  % SZS status Theorem
% 0.20/0.43  (* PROOF-FOUND *)
% 0.20/0.43  (* BEGIN-PROOF *)
% 0.20/0.43  % SZS output start Proof
% 0.20/0.43  1. (member T_0 T_1) (-. (member T_0 T_1))   ### Axiom
% 0.20/0.43  2. (-. (member T_0 T_2)) (member T_0 T_2)   ### Axiom
% 0.20/0.43  3. (subset T_1 T_2) (-. (member T_0 T_2)) (member T_0 T_1)   ### Extension/test/subset_inst 1 2
% 0.20/0.43  4. (member T_1 (power_set T_2)) (member T_0 T_1) (-. (member T_0 T_2))   ### Extension/test/power_set 3
% 0.20/0.43  5. (member T_0 T_1) (-. (member T_0 T_1))   ### Axiom
% 0.20/0.43  6. (-. (member T_0 T_3)) (member T_0 T_3)   ### Axiom
% 0.20/0.43  7. (subset T_1 T_3) (-. (member T_0 T_3)) (member T_0 T_1)   ### Extension/test/subset_inst 5 6
% 0.20/0.43  8. (member T_1 (power_set T_3)) (member T_0 T_1) (-. (member T_0 T_3))   ### Extension/test/power_set 7
% 0.20/0.43  9. (member T_1 (union (power_set T_2) (power_set T_3))) (-. (member T_0 T_3)) (-. (member T_0 T_2)) (member T_0 T_1)   ### Extension/test/union 4 8
% 0.20/0.43  10. (-. (member T_0 (union T_2 T_3))) (member T_0 T_1) (member T_1 (union (power_set T_2) (power_set T_3)))   ### Extension/test/not_union 9
% 0.20/0.43  11. (-. (subset T_1 (union T_2 T_3))) (member T_1 (union (power_set T_2) (power_set T_3)))   ### Extension/test/not_subset 10
% 0.20/0.43  12. (-. (member T_1 (power_set (union T_2 T_3)))) (member T_1 (union (power_set T_2) (power_set T_3)))   ### Extension/test/not_power_set 11
% 0.20/0.43  13. (-. (subset (union (power_set T_2) (power_set T_3)) (power_set (union T_2 T_3))))   ### Extension/test/not_subset 12
% 0.20/0.43  14. (-. (All B, (subset (union (power_set T_2) (power_set B)) (power_set (union T_2 B)))))   ### NotAllEx 13
% 0.20/0.43  15. (-. (All A, (All B, (subset (union (power_set A) (power_set B)) (power_set (union A B))))))   ### NotAllEx 14
% 0.20/0.43  % SZS output end Proof
% 0.20/0.43  (* END-PROOF *)
%------------------------------------------------------------------------------