TSTP Solution File: SET169+4 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET169+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 : n006.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 05:40:03 EDT 2022
% Result : Theorem 0.21s 0.42s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET169+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n006.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 01:07:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.42 % SZS status Theorem
% 0.21/0.42 (* PROOF-FOUND *)
% 0.21/0.42 (* BEGIN-PROOF *)
% 0.21/0.42 % SZS output start Proof
% 0.21/0.42 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.21/0.42 2. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.21/0.42 3. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom
% 0.21/0.42 4. (-. (member T_0 T_3)) (member T_0 T_3) ### Axiom
% 0.21/0.42 5. (member T_0 (union T_2 T_3)) (-. (member T_0 T_3)) (-. (member T_0 T_2)) ### Extension/test/union 3 4
% 0.21/0.42 6. (-. (member T_0 (intersection T_1 T_2))) (-. (member T_0 T_3)) (member T_0 (union T_2 T_3)) (member T_0 T_1) ### Extension/test/not_intersection 2 5
% 0.21/0.42 7. (-. (member T_0 (intersection T_1 T_3))) (member T_0 (union T_2 T_3)) (-. (member T_0 (intersection T_1 T_2))) (member T_0 T_1) ### Extension/test/not_intersection 1 6
% 0.21/0.42 8. (-. (member T_0 (union (intersection T_1 T_2) (intersection T_1 T_3)))) (member T_0 T_1) (member T_0 (union T_2 T_3)) ### Extension/test/not_union 7
% 0.21/0.42 9. (member T_0 (intersection T_1 (union T_2 T_3))) (-. (member T_0 (union (intersection T_1 T_2) (intersection T_1 T_3)))) ### Extension/test/intersection 8
% 0.21/0.42 10. (-. (subset (intersection T_1 (union T_2 T_3)) (union (intersection T_1 T_2) (intersection T_1 T_3)))) ### Extension/test/not_subset 9
% 0.21/0.42 11. (member T_4 T_1) (-. (member T_4 T_1)) ### Axiom
% 0.21/0.42 12. (member T_4 T_2) (-. (member T_4 T_2)) ### Axiom
% 0.21/0.42 13. (-. (member T_4 (union T_2 T_3))) (member T_4 T_2) ### Extension/test/not_union 12
% 0.21/0.42 14. (-. (member T_4 (intersection T_1 (union T_2 T_3)))) (member T_4 T_2) (member T_4 T_1) ### Extension/test/not_intersection 11 13
% 0.21/0.42 15. (member T_4 (intersection T_1 T_2)) (-. (member T_4 (intersection T_1 (union T_2 T_3)))) ### Extension/test/intersection 14
% 0.21/0.42 16. (member T_4 T_1) (-. (member T_4 T_1)) ### Axiom
% 0.21/0.42 17. (member T_4 T_3) (-. (member T_4 T_3)) ### Axiom
% 0.21/0.42 18. (-. (member T_4 (union T_2 T_3))) (member T_4 T_3) ### Extension/test/not_union 17
% 0.21/0.42 19. (-. (member T_4 (intersection T_1 (union T_2 T_3)))) (member T_4 T_3) (member T_4 T_1) ### Extension/test/not_intersection 16 18
% 0.21/0.42 20. (member T_4 (intersection T_1 T_3)) (-. (member T_4 (intersection T_1 (union T_2 T_3)))) ### Extension/test/intersection 19
% 0.21/0.42 21. (member T_4 (union (intersection T_1 T_2) (intersection T_1 T_3))) (-. (member T_4 (intersection T_1 (union T_2 T_3)))) ### Extension/test/union 15 20
% 0.21/0.42 22. (-. (subset (union (intersection T_1 T_2) (intersection T_1 T_3)) (intersection T_1 (union T_2 T_3)))) ### Extension/test/not_subset 21
% 0.21/0.42 23. (-. (equal_set (intersection T_1 (union T_2 T_3)) (union (intersection T_1 T_2) (intersection T_1 T_3)))) ### Extension/test/not_equal_set 10 22
% 0.21/0.42 24. (-. (All C, (equal_set (intersection T_1 (union T_2 C)) (union (intersection T_1 T_2) (intersection T_1 C))))) ### NotAllEx 23
% 0.21/0.42 25. (-. (All B, (All C, (equal_set (intersection T_1 (union B C)) (union (intersection T_1 B) (intersection T_1 C)))))) ### NotAllEx 24
% 0.21/0.42 26. (-. (All A, (All B, (All C, (equal_set (intersection A (union B C)) (union (intersection A B) (intersection A C))))))) ### NotAllEx 25
% 0.21/0.42 % SZS output end Proof
% 0.21/0.42 (* END-PROOF *)
%------------------------------------------------------------------------------