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 *)
%------------------------------------------------------------------------------