TSTP Solution File: SET056+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET056+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n024.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 05:38:43 EDT 2022
% Result : Theorem 1.74s 1.94s
% Output : Proof 1.74s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET056+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n024.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
% 0.12/0.34 % DateTime : Sun Jul 10 22:32:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.74/1.94 % SZS status Theorem
% 1.74/1.94 (* PROOF-FOUND *)
% 1.74/1.94 (* BEGIN-PROOF *)
% 1.74/1.94 % SZS output start Proof
% 1.74/1.94 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 1.74/1.94 2. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom
% 1.74/1.94 3. (-. (-. (member T_0 T_2))) (-. (member T_0 T_2)) ### NotNot 2
% 1.74/1.94 4. (-. ((member T_0 T_1) /\ (-. (member T_0 T_2)))) (-. (member T_0 T_2)) (member T_0 T_1) ### NotAnd 1 3
% 1.74/1.94 5. (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) (member T_0 T_1) (-. (member T_0 T_2)) ### NotExists 4
% 1.74/1.94 6. (-. ((member T_0 T_1) => (member T_0 T_2))) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) ### NotImply 5
% 1.74/1.94 7. (-. (All U, ((member U T_1) => (member U T_2)))) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) ### NotAllEx 6
% 1.74/1.94 8. (-. (subclass T_1 T_2)) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) ### Definition-Pseudo(subclass) 7
% 1.74/1.94 9. (member T_3 T_2) (-. (member T_3 T_2)) ### Axiom
% 1.74/1.94 10. (-. (member T_3 T_1)) (member T_3 T_1) ### Axiom
% 1.74/1.94 11. (-. (-. (member T_3 T_1))) (-. (member T_3 T_1)) ### NotNot 10
% 1.74/1.94 12. (-. ((member T_3 T_2) /\ (-. (member T_3 T_1)))) (-. (member T_3 T_1)) (member T_3 T_2) ### NotAnd 9 11
% 1.74/1.94 13. (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) (member T_3 T_2) (-. (member T_3 T_1)) ### NotExists 12
% 1.74/1.94 14. (-. ((member T_3 T_2) => (member T_3 T_1))) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) ### NotImply 13
% 1.74/1.94 15. (-. (All U, ((member U T_2) => (member U T_1)))) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) ### NotAllEx 14
% 1.74/1.94 16. (-. (subclass T_2 T_1)) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) ### Definition-Pseudo(subclass) 15
% 1.74/1.94 17. (-. ((subclass T_1 T_2) /\ (subclass T_2 T_1))) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) ### NotAnd 8 16
% 1.74/1.94 18. (T_2 != T_1) (T_1 = T_2) ### Sym(=)
% 1.74/1.94 19. ((T_1 = T_2) <=> ((subclass T_1 T_2) /\ (subclass T_2 T_1))) (T_2 != T_1) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) ### Equiv 17 18
% 1.74/1.94 20. (All Y, ((T_1 = Y) <=> ((subclass T_1 Y) /\ (subclass Y T_1)))) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) (T_2 != T_1) ### All 19
% 1.74/1.94 21. (All X, (All Y, ((X = Y) <=> ((subclass X Y) /\ (subclass Y X))))) (T_2 != T_1) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) ### All 20
% 1.74/1.94 22. (-. ((T_2 = T_1) \/ ((Ex U, ((member U T_2) /\ (-. (member U T_1)))) \/ (Ex W, ((member W T_1) /\ (-. (member W T_2))))))) (All X, (All Y, ((X = Y) <=> ((subclass X Y) /\ (subclass Y X))))) ### ConjTree 21
% 1.74/1.94 23. (-. (All Y, ((T_2 = Y) \/ ((Ex U, ((member U T_2) /\ (-. (member U Y)))) \/ (Ex W, ((member W Y) /\ (-. (member W T_2)))))))) (All X, (All Y, ((X = Y) <=> ((subclass X Y) /\ (subclass Y X))))) ### NotAllEx 22
% 1.74/1.94 24. (-. (All X, (All Y, ((X = Y) \/ ((Ex U, ((member U X) /\ (-. (member U Y)))) \/ (Ex W, ((member W Y) /\ (-. (member W X))))))))) (All X, (All Y, ((X = Y) <=> ((subclass X Y) /\ (subclass Y X))))) ### NotAllEx 23
% 1.74/1.94 % SZS output end Proof
% 1.74/1.94 (* END-PROOF *)
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