TSTP Solution File: SET693+4 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET693+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 : n011.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 0.12s 0.39s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET693+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 05:49:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.39 % SZS status Theorem
% 0.12/0.39 (* PROOF-FOUND *)
% 0.12/0.39 (* BEGIN-PROOF *)
% 0.12/0.39 % SZS output start Proof
% 0.12/0.39 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.12/0.39 2. (-. (member T_0 (union T_1 T_2))) (member T_0 T_1) ### Extension/test/not_union 1
% 0.12/0.39 3. (-. (subset T_1 (union T_1 T_2))) ### Extension/test/not_subset 2
% 0.12/0.39 4. (-. (member T_3 T_1)) (member T_3 T_1) ### Axiom
% 0.12/0.39 5. (member T_3 T_2) (-. (member T_3 T_2)) ### Axiom
% 0.12/0.39 6. (-. (member T_3 T_1)) (member T_3 T_1) ### Axiom
% 0.12/0.39 7. (subset T_2 T_1) (-. (member T_3 T_1)) (member T_3 T_2) ### Extension/test/subset_inst 5 6
% 0.12/0.39 8. (member T_3 (union T_1 T_2)) (subset T_2 T_1) (-. (member T_3 T_1)) ### Extension/test/union 4 7
% 0.12/0.39 9. (-. (subset (union T_1 T_2) T_1)) (subset T_2 T_1) ### Extension/test/not_subset 8
% 0.12/0.39 10. (-. (equal_set T_1 (union T_1 T_2))) (subset T_2 T_1) ### Extension/test/not_equal_set 3 9
% 0.12/0.39 11. (member T_4 T_2) (-. (member T_4 T_2)) ### Axiom
% 0.12/0.39 12. (-. (member T_4 (union T_1 T_2))) (member T_4 T_2) ### Extension/test/not_union 11
% 0.12/0.39 13. (-. (member T_4 T_1)) (member T_4 T_1) ### Axiom
% 0.12/0.39 14. (subset (union T_1 T_2) T_1) (-. (member T_4 T_1)) (member T_4 T_2) ### Extension/test/subset_inst 12 13
% 0.12/0.39 15. (-. (subset T_2 T_1)) (subset (union T_1 T_2) T_1) ### Extension/test/not_subset 14
% 0.12/0.39 16. (equal_set T_1 (union T_1 T_2)) (-. (subset T_2 T_1)) ### Extension/test/equal_set 15
% 0.12/0.39 17. (-. ((equal_set T_1 (union T_1 T_2)) <=> (subset T_2 T_1))) ### NotEquiv 10 16
% 0.12/0.39 18. (-. (All B, ((equal_set T_1 (union T_1 B)) <=> (subset B T_1)))) ### NotAllEx 17
% 0.12/0.39 19. (-. (All A, (All B, ((equal_set A (union A B)) <=> (subset B A))))) ### NotAllEx 18
% 0.12/0.39 % SZS output end Proof
% 0.12/0.39 (* END-PROOF *)
%------------------------------------------------------------------------------