TSTP Solution File: SET700+4 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET700+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 : n019.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 05:43:28 EDT 2022
% Result : Theorem 0.13s 0.34s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET700+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.09 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.07/0.28 % Computer : n019.cluster.edu
% 0.07/0.28 % Model : x86_64 x86_64
% 0.07/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.28 % Memory : 8042.1875MB
% 0.07/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.28 % CPULimit : 300
% 0.07/0.28 % WCLimit : 600
% 0.07/0.28 % DateTime : Sun Jul 10 01:36:08 EDT 2022
% 0.07/0.28 % CPUTime :
% 0.13/0.34 % SZS status Theorem
% 0.13/0.34 (* PROOF-FOUND *)
% 0.13/0.34 (* BEGIN-PROOF *)
% 0.13/0.34 % SZS output start Proof
% 0.13/0.34 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.13/0.34 2. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.13/0.34 3. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom
% 0.13/0.34 4. (subset T_1 T_2) (-. (member T_0 T_2)) (member T_0 T_1) ### Extension/test/subset_inst 2 3
% 0.13/0.34 5. (-. (member T_0 T_3)) (member T_0 T_3) ### Axiom
% 0.13/0.34 6. (-. (member T_0 (difference T_2 T_3))) (-. (member T_0 T_3)) (member T_0 T_1) (subset T_1 T_2) ### Extension/test/not_difference 4 5
% 0.13/0.34 7. (-. (member T_0 (intersection T_1 (difference T_2 T_3)))) (subset T_1 T_2) (-. (member T_0 T_3)) (member T_0 T_1) ### Extension/test/not_intersection 1 6
% 0.13/0.34 8. (-. (member T_0 T_3)) (member T_0 T_3) ### Axiom
% 0.13/0.34 9. (subset (intersection T_1 (difference T_2 T_3)) T_3) (member T_0 T_1) (-. (member T_0 T_3)) (subset T_1 T_2) ### Extension/test/subset_inst 7 8
% 0.13/0.34 10. (-. (subset T_1 T_3)) (subset T_1 T_2) (subset (intersection T_1 (difference T_2 T_3)) T_3) ### Extension/test/not_subset 9
% 0.13/0.34 11. (member T_4 T_1) (-. (member T_4 T_1)) ### Axiom
% 0.13/0.34 12. (-. (member T_4 T_3)) (member T_4 T_3) ### Axiom
% 0.13/0.34 13. (subset T_1 T_3) (-. (member T_4 T_3)) (member T_4 T_1) ### Extension/test/subset_inst 11 12
% 0.13/0.34 14. (member T_4 (intersection T_1 (difference T_2 T_3))) (-. (member T_4 T_3)) (subset T_1 T_3) ### Extension/test/intersection 13
% 0.13/0.34 15. (-. (subset (intersection T_1 (difference T_2 T_3)) T_3)) (subset T_1 T_3) ### Extension/test/not_subset 14
% 0.13/0.34 16. (-. ((subset T_1 T_3) <=> (subset (intersection T_1 (difference T_2 T_3)) T_3))) (subset T_1 T_2) ### NotEquiv 10 15
% 0.13/0.34 17. (-. (((subset T_1 T_2) /\ (subset T_3 T_2)) => ((subset T_1 T_3) <=> (subset (intersection T_1 (difference T_2 T_3)) T_3)))) ### ConjTree 16
% 0.13/0.34 18. (-. (All E, (((subset T_1 E) /\ (subset T_3 E)) => ((subset T_1 T_3) <=> (subset (intersection T_1 (difference E T_3)) T_3))))) ### NotAllEx 17
% 0.13/0.34 19. (-. (All B, (All E, (((subset T_1 E) /\ (subset B E)) => ((subset T_1 B) <=> (subset (intersection T_1 (difference E B)) B)))))) ### NotAllEx 18
% 0.13/0.34 20. (-. (All A, (All B, (All E, (((subset A E) /\ (subset B E)) => ((subset A B) <=> (subset (intersection A (difference E B)) B))))))) ### NotAllEx 19
% 0.13/0.34 % SZS output end Proof
% 0.13/0.34 (* END-PROOF *)
%------------------------------------------------------------------------------