TSTP Solution File: SET791+4 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET791+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n021.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 05:44:00 EDT 2022
% Result : Theorem 0.18s 0.41s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET791+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jul 10 11:51:07 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 (* PROOF-FOUND *)
% 0.18/0.41 (* BEGIN-PROOF *)
% 0.18/0.41 % SZS output start Proof
% 0.18/0.41 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.18/0.41 2. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.18/0.41 3. (member T_2 T_1) (-. (member T_2 T_1)) ### Axiom
% 0.18/0.41 4. (apply T_3 T_0 T_2) (-. (apply T_3 T_0 T_2)) ### Axiom
% 0.18/0.41 5. (member T_2 T_1) (-. (member T_2 T_1)) ### Axiom
% 0.18/0.41 6. (-. (apply T_3 T_2 T_0)) (apply T_3 T_2 T_0) ### Axiom
% 0.18/0.41 7. ((member T_2 T_1) => (apply T_3 T_2 T_0)) (-. (apply T_3 T_2 T_0)) (member T_2 T_1) ### Imply 5 6
% 0.18/0.41 8. (All X, ((member X T_1) => (apply T_3 X T_0))) (member T_2 T_1) (-. (apply T_3 T_2 T_0)) ### All 7
% 0.18/0.41 9. (T_0 != T_2) (T_0 = T_2) ### Axiom
% 0.18/0.41 10. (((member T_0 T_1) /\ (member T_2 T_1)) => (((apply T_3 T_0 T_2) /\ (apply T_3 T_2 T_0)) => (T_0 = T_2))) (T_0 != T_2) (All X, ((member X T_1) => (apply T_3 X T_0))) (apply T_3 T_0 T_2) (member T_2 T_1) (member T_0 T_1) ### DisjTree 2 3 4 8 9
% 0.18/0.41 11. (All Y, (((member T_0 T_1) /\ (member Y T_1)) => (((apply T_3 T_0 Y) /\ (apply T_3 Y T_0)) => (T_0 = Y)))) (member T_0 T_1) (member T_2 T_1) (apply T_3 T_0 T_2) (All X, ((member X T_1) => (apply T_3 X T_0))) (T_0 != T_2) ### All 10
% 0.18/0.41 12. (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => (((apply T_3 X Y) /\ (apply T_3 Y X)) => (X = Y))))) (T_0 != T_2) (All X, ((member X T_1) => (apply T_3 X T_0))) (apply T_3 T_0 T_2) (member T_2 T_1) (member T_0 T_1) ### All 11
% 0.18/0.41 13. (-. (((member T_2 T_1) /\ (apply T_3 T_0 T_2)) => (T_0 = T_2))) (member T_0 T_1) (All X, ((member X T_1) => (apply T_3 X T_0))) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => (((apply T_3 X Y) /\ (apply T_3 Y X)) => (X = Y))))) ### ConjTree 12
% 0.18/0.41 14. (-. (All X, (((member X T_1) /\ (apply T_3 T_0 X)) => (T_0 = X)))) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => (((apply T_3 X Y) /\ (apply T_3 Y X)) => (X = Y))))) (All X, ((member X T_1) => (apply T_3 X T_0))) (member T_0 T_1) ### NotAllEx 13
% 0.18/0.41 15. (-. ((member T_0 T_1) /\ (All X, (((member X T_1) /\ (apply T_3 T_0 X)) => (T_0 = X))))) (All X, ((member X T_1) => (apply T_3 X T_0))) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => (((apply T_3 X Y) /\ (apply T_3 Y X)) => (X = Y))))) (member T_0 T_1) ### NotAnd 1 14
% 0.18/0.41 16. (-. (max T_0 T_3 T_1)) (member T_0 T_1) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => (((apply T_3 X Y) /\ (apply T_3 Y X)) => (X = Y))))) (All X, ((member X T_1) => (apply T_3 X T_0))) ### Definition-Pseudo(max) 15
% 0.18/0.41 17. ((member T_0 T_1) /\ (All X, ((member X T_1) => (apply T_3 X T_0)))) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => (((apply T_3 X Y) /\ (apply T_3 Y X)) => (X = Y))))) (-. (max T_0 T_3 T_1)) ### And 16
% 0.18/0.41 18. (greatest T_0 T_3 T_1) (-. (max T_0 T_3 T_1)) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => (((apply T_3 X Y) /\ (apply T_3 Y X)) => (X = Y))))) ### Definition-Pseudo(greatest) 17
% 0.18/0.41 19. ((All X, ((member X T_1) => (apply T_3 X X))) /\ ((All X, (All Y, (((member X T_1) /\ (member Y T_1)) => (((apply T_3 X Y) /\ (apply T_3 Y X)) => (X = Y))))) /\ (All X, (All Y, (All Z, (((member X T_1) /\ ((member Y T_1) /\ (member Z T_1))) => (((apply T_3 X Y) /\ (apply T_3 Y Z)) => (apply T_3 X Z)))))))) (-. (max T_0 T_3 T_1)) (greatest T_0 T_3 T_1) ### ConjTree 18
% 0.18/0.41 20. (order T_3 T_1) (greatest T_0 T_3 T_1) (-. (max T_0 T_3 T_1)) ### Definition-Pseudo(order) 19
% 0.18/0.41 21. (-. (((order T_3 T_1) /\ (greatest T_0 T_3 T_1)) => (max T_0 T_3 T_1))) ### ConjTree 20
% 0.18/0.41 22. (-. (All M, (((order T_3 T_1) /\ (greatest M T_3 T_1)) => (max M T_3 T_1)))) ### NotAllEx 21
% 0.18/0.41 23. (-. (All E, (All M, (((order T_3 E) /\ (greatest M T_3 E)) => (max M T_3 E))))) ### NotAllEx 22
% 0.18/0.41 24. (-. (All R, (All E, (All M, (((order R E) /\ (greatest M R E)) => (max M R E)))))) ### NotAllEx 23
% 0.18/0.41 % SZS output end Proof
% 0.18/0.41 (* END-PROOF *)
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