TSTP Solution File: SYN551+3 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SYN551+3 : TPTP v8.1.0. Bugfixed v3.1.0.
% 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 : Thu Jul 21 12:45:08 EDT 2022
% Result : Theorem 0.18s 0.41s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN551+3 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue Jul 12 07:24:35 EDT 2022
% 0.11/0.32 % 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. (T_0 = (g (f T_0))) (T_0 != (g (f T_0))) ### Axiom
% 0.18/0.41 2. ((f T_0) != (f (g (f T_0)))) (T_0 = (g (f T_0))) ### NotEqual 1
% 0.18/0.41 3. (T_1 != T_1) ### Refl(=)
% 0.18/0.41 4. (T_1 != T_1) ### Refl(=)
% 0.18/0.41 5. (T_1 = (f (g T_1))) (T_1 != (f (g T_1))) ### Axiom
% 0.18/0.41 6. ((g T_1) != (g (f (g T_1)))) (T_1 = (f (g T_1))) ### NotEqual 5
% 0.18/0.41 7. ((g T_1) != T_0) ((g T_1) = T_0) ### Axiom
% 0.18/0.41 8. (((g T_1) = (g (f (g T_1)))) => ((g T_1) = T_0)) ((g T_1) != T_0) (T_1 = (f (g T_1))) ### Imply 6 7
% 0.18/0.41 9. (All Y, ((Y = (g (f Y))) => (Y = T_0))) (T_1 = (f (g T_1))) ((g T_1) != T_0) ### All 8
% 0.18/0.41 10. ((f (g T_1)) != (f T_0)) (T_1 = (f (g T_1))) (All Y, ((Y = (g (f Y))) => (Y = T_0))) ### NotEqual 9
% 0.18/0.41 11. (T_1 != (f T_0)) (All Y, ((Y = (g (f Y))) => (Y = T_0))) (T_1 = (f (g T_1))) ### TransEq 3 4 10
% 0.18/0.41 12. (-. ((T_1 = (f (g T_1))) => (T_1 = (f T_0)))) (All Y, ((Y = (g (f Y))) => (Y = T_0))) ### NotImply 11
% 0.18/0.41 13. (-. (All Y, ((Y = (f (g Y))) => (Y = (f T_0))))) (All Y, ((Y = (g (f Y))) => (Y = T_0))) ### NotAllEx 12
% 0.18/0.41 14. (-. (((f T_0) = (f (g (f T_0)))) /\ (All Y, ((Y = (f (g Y))) => (Y = (f T_0)))))) (All Y, ((Y = (g (f Y))) => (Y = T_0))) (T_0 = (g (f T_0))) ### NotAnd 2 13
% 0.18/0.41 15. (-. (Ex X, ((X = (f (g X))) /\ (All Y, ((Y = (f (g Y))) => (Y = X)))))) (T_0 = (g (f T_0))) (All Y, ((Y = (g (f Y))) => (Y = T_0))) ### NotExists 14
% 0.18/0.41 16. ((T_0 = (g (f T_0))) /\ (All Y, ((Y = (g (f Y))) => (Y = T_0)))) (-. (Ex X, ((X = (f (g X))) /\ (All Y, ((Y = (f (g Y))) => (Y = X)))))) ### And 15
% 0.18/0.41 17. (Ex X, ((X = (g (f X))) /\ (All Y, ((Y = (g (f Y))) => (Y = X))))) (-. (Ex X, ((X = (f (g X))) /\ (All Y, ((Y = (f (g Y))) => (Y = X)))))) ### Exists 16
% 0.18/0.41 18. (T_2 = (f (g T_2))) (T_2 != (f (g T_2))) ### Axiom
% 0.18/0.41 19. ((g T_2) != (g (f (g T_2)))) (T_2 = (f (g T_2))) ### NotEqual 18
% 0.18/0.41 20. (T_3 != T_3) ### Refl(=)
% 0.18/0.41 21. (T_3 != T_3) ### Refl(=)
% 0.18/0.41 22. (T_3 = (g (f T_3))) (T_3 != (g (f T_3))) ### Axiom
% 0.18/0.41 23. ((f T_3) != (f (g (f T_3)))) (T_3 = (g (f T_3))) ### NotEqual 22
% 0.18/0.41 24. ((f T_3) != T_2) ((f T_3) = T_2) ### Axiom
% 0.18/0.41 25. (((f T_3) = (f (g (f T_3)))) => ((f T_3) = T_2)) ((f T_3) != T_2) (T_3 = (g (f T_3))) ### Imply 23 24
% 0.18/0.41 26. (All Y, ((Y = (f (g Y))) => (Y = T_2))) (T_3 = (g (f T_3))) ((f T_3) != T_2) ### All 25
% 0.18/0.41 27. ((g (f T_3)) != (g T_2)) (T_3 = (g (f T_3))) (All Y, ((Y = (f (g Y))) => (Y = T_2))) ### NotEqual 26
% 0.18/0.41 28. (T_3 != (g T_2)) (All Y, ((Y = (f (g Y))) => (Y = T_2))) (T_3 = (g (f T_3))) ### TransEq 20 21 27
% 0.18/0.41 29. (-. ((T_3 = (g (f T_3))) => (T_3 = (g T_2)))) (All Y, ((Y = (f (g Y))) => (Y = T_2))) ### NotImply 28
% 0.18/0.41 30. (-. (All Y, ((Y = (g (f Y))) => (Y = (g T_2))))) (All Y, ((Y = (f (g Y))) => (Y = T_2))) ### NotAllEx 29
% 0.18/0.41 31. (-. (((g T_2) = (g (f (g T_2)))) /\ (All Y, ((Y = (g (f Y))) => (Y = (g T_2)))))) (All Y, ((Y = (f (g Y))) => (Y = T_2))) (T_2 = (f (g T_2))) ### NotAnd 19 30
% 0.18/0.41 32. (-. (Ex X, ((X = (g (f X))) /\ (All Y, ((Y = (g (f Y))) => (Y = X)))))) (T_2 = (f (g T_2))) (All Y, ((Y = (f (g Y))) => (Y = T_2))) ### NotExists 31
% 0.18/0.41 33. ((T_2 = (f (g T_2))) /\ (All Y, ((Y = (f (g Y))) => (Y = T_2)))) (-. (Ex X, ((X = (g (f X))) /\ (All Y, ((Y = (g (f Y))) => (Y = X)))))) ### And 32
% 0.18/0.41 34. (Ex X, ((X = (f (g X))) /\ (All Y, ((Y = (f (g Y))) => (Y = X))))) (-. (Ex X, ((X = (g (f X))) /\ (All Y, ((Y = (g (f Y))) => (Y = X)))))) ### Exists 33
% 0.18/0.41 35. (-. ((Ex X, ((X = (f (g X))) /\ (All Y, ((Y = (f (g Y))) => (Y = X))))) <=> (Ex X, ((X = (g (f X))) /\ (All Y, ((Y = (g (f Y))) => (Y = X))))))) ### NotEquiv 17 34
% 0.18/0.41 % SZS output end Proof
% 0.18/0.41 (* END-PROOF *)
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