TSTP Solution File: SET803+4 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET803+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 : n022.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 05:44:05 EDT 2022
% Result : Theorem 0.21s 0.43s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET803+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 03:49:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.43 % SZS status Theorem
% 0.21/0.43 (* PROOF-FOUND *)
% 0.21/0.43 (* BEGIN-PROOF *)
% 0.21/0.43 % SZS output start Proof
% 0.21/0.43 1. (T_0 != T_0) ### Refl(=)
% 0.21/0.43 2. (T_0 != T_0) ### Refl(=)
% 0.21/0.43 3. (T_1 != T_2) (T_2 = T_1) ### Sym(=)
% 0.21/0.43 4. (member T_2 T_3) (-. (member T_2 T_3)) ### Axiom
% 0.21/0.43 5. (-. (apply T_4 T_2 T_1)) (apply T_4 T_2 T_1) ### Axiom
% 0.21/0.43 6. (greatest T_1 T_4 T_3) (-. (apply T_4 T_2 T_1)) (member T_2 T_3) ### Extension/test/greatest_inst 4 5
% 0.21/0.43 7. (member T_1 T_3) (-. (member T_1 T_3)) ### Axiom
% 0.21/0.43 8. (max T_2 T_4 T_3) (member T_1 T_3) (member T_2 T_3) (greatest T_1 T_4 T_3) (T_1 != T_2) ### Extension/test/max_inst 3 6 7
% 0.21/0.43 9. (T_2 != T_0) (T_0 = T_1) (greatest T_1 T_4 T_3) (member T_2 T_3) (member T_1 T_3) (max T_2 T_4 T_3) ### TransEq-sym 1 2 8
% 0.21/0.43 10. (member T_0 T_3) (-. (member T_0 T_3)) ### Axiom
% 0.21/0.43 11. (-. (apply T_4 T_0 T_1)) (apply T_4 T_0 T_1) ### Axiom
% 0.21/0.43 12. (greatest T_1 T_4 T_3) (-. (apply T_4 T_0 T_1)) (member T_0 T_3) ### Extension/test/greatest_inst 10 11
% 0.21/0.43 13. (member T_1 T_3) (-. (member T_1 T_3)) ### Axiom
% 0.21/0.43 14. (max T_0 T_4 T_3) (member T_0 T_3) (max T_2 T_4 T_3) (member T_1 T_3) (member T_2 T_3) (greatest T_1 T_4 T_3) (T_2 != T_0) ### Extension/test/max_inst 9 12 13
% 0.21/0.43 15. (T_2 != T_0) (greatest T_1 T_4 T_3) (member T_2 T_3) (member T_1 T_3) (max T_2 T_4 T_3) (max T_0 T_4 T_3) ### Extension/test/max 14 14 14
% 0.21/0.43 16. (max T_0 T_4 T_3) (max T_2 T_4 T_3) (member T_1 T_3) (greatest T_1 T_4 T_3) (T_2 != T_0) ### Extension/test/max 15 15 15
% 0.21/0.43 17. (T_2 != T_0) (greatest T_1 T_4 T_3) (max T_2 T_4 T_3) (max T_0 T_4 T_3) ### Extension/test/greatest 16 16
% 0.21/0.43 18. (Ex M, (greatest M T_4 T_3)) (max T_0 T_4 T_3) (max T_2 T_4 T_3) (T_2 != T_0) ### Exists 17
% 0.21/0.43 19. (-. (((max T_2 T_4 T_3) /\ ((max T_0 T_4 T_3) /\ (T_2 != T_0))) => (-. (Ex M, (greatest M T_4 T_3))))) ### ConjTree 18
% 0.21/0.43 20. (-. (All M2, (((max T_2 T_4 T_3) /\ ((max M2 T_4 T_3) /\ (T_2 != M2))) => (-. (Ex M, (greatest M T_4 T_3)))))) ### NotAllEx 19
% 0.21/0.43 21. (-. (All M1, (All M2, (((max M1 T_4 T_3) /\ ((max M2 T_4 T_3) /\ (M1 != M2))) => (-. (Ex M, (greatest M T_4 T_3))))))) ### NotAllEx 20
% 0.21/0.43 22. (-. ((order T_4 T_3) => (All M1, (All M2, (((max M1 T_4 T_3) /\ ((max M2 T_4 T_3) /\ (M1 != M2))) => (-. (Ex M, (greatest M T_4 T_3)))))))) ### NotImply 21
% 0.21/0.43 23. (-. (All E, ((order T_4 E) => (All M1, (All M2, (((max M1 T_4 E) /\ ((max M2 T_4 E) /\ (M1 != M2))) => (-. (Ex M, (greatest M T_4 E))))))))) ### NotAllEx 22
% 0.21/0.43 24. (-. (All R, (All E, ((order R E) => (All M1, (All M2, (((max M1 R E) /\ ((max M2 R E) /\ (M1 != M2))) => (-. (Ex M, (greatest M R E)))))))))) ### NotAllEx 23
% 0.21/0.43 % SZS output end Proof
% 0.21/0.43 (* END-PROOF *)
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