TSTP Solution File: SET086+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SET086+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 : 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 05:39:13 EDT 2022
% Result : Theorem 1.68s 1.94s
% Output : Proof 1.68s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET086+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 10:49:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.68/1.94 % SZS status Theorem
% 1.68/1.94 (* PROOF-FOUND *)
% 1.68/1.94 (* BEGIN-PROOF *)
% 1.68/1.94 % SZS output start Proof
% 1.68/1.94 1. ((member T_0 (universal_class)) /\ (T_1 = (singleton T_0))) (-. ((member T_0 (universal_class)) /\ (T_1 = (singleton T_0)))) ### Axiom
% 1.68/1.94 2. (-. (((member T_0 (universal_class)) /\ (T_1 = (singleton T_0))) \/ ((-. (Ex Y, ((member Y (universal_class)) /\ (T_1 = (singleton Y))))) /\ (T_0 = T_1)))) ((member T_0 (universal_class)) /\ (T_1 = (singleton T_0))) ### NotOr 1
% 1.68/1.94 3. (-. (Ex U, (((member U (universal_class)) /\ (T_1 = (singleton U))) \/ ((-. (Ex Y, ((member Y (universal_class)) /\ (T_1 = (singleton Y))))) /\ (U = T_1))))) ((member T_0 (universal_class)) /\ (T_1 = (singleton T_0))) ### NotExists 2
% 1.68/1.94 4. (Ex Y, ((member Y (universal_class)) /\ (T_1 = (singleton Y)))) (-. (Ex U, (((member U (universal_class)) /\ (T_1 = (singleton U))) \/ ((-. (Ex Y, ((member Y (universal_class)) /\ (T_1 = (singleton Y))))) /\ (U = T_1))))) ### Exists 3
% 1.68/1.94 5. (-. (-. (Ex Y, ((member Y (universal_class)) /\ (T_1 = (singleton Y)))))) (-. (Ex U, (((member U (universal_class)) /\ (T_1 = (singleton U))) \/ ((-. (Ex Y, ((member Y (universal_class)) /\ (T_1 = (singleton Y))))) /\ (U = T_1))))) ### NotNot 4
% 1.68/1.94 6. (T_1 != T_1) ### Refl(=)
% 1.68/1.94 7. (-. ((-. (Ex Y, ((member Y (universal_class)) /\ (T_1 = (singleton Y))))) /\ (T_1 = T_1))) (-. (Ex U, (((member U (universal_class)) /\ (T_1 = (singleton U))) \/ ((-. (Ex Y, ((member Y (universal_class)) /\ (T_1 = (singleton Y))))) /\ (U = T_1))))) ### NotAnd 5 6
% 1.68/1.94 8. (-. (((member T_1 (universal_class)) /\ (T_1 = (singleton T_1))) \/ ((-. (Ex Y, ((member Y (universal_class)) /\ (T_1 = (singleton Y))))) /\ (T_1 = T_1)))) (-. (Ex U, (((member U (universal_class)) /\ (T_1 = (singleton U))) \/ ((-. (Ex Y, ((member Y (universal_class)) /\ (T_1 = (singleton Y))))) /\ (U = T_1))))) ### NotOr 7
% 1.68/1.94 9. (-. (Ex U, (((member U (universal_class)) /\ (T_1 = (singleton U))) \/ ((-. (Ex Y, ((member Y (universal_class)) /\ (T_1 = (singleton Y))))) /\ (U = T_1))))) ### NotExists 8
% 1.68/1.94 10. (-. (All X, (Ex U, (((member U (universal_class)) /\ (X = (singleton U))) \/ ((-. (Ex Y, ((member Y (universal_class)) /\ (X = (singleton Y))))) /\ (U = X)))))) ### NotAllEx 9
% 1.68/1.94 % SZS output end Proof
% 1.68/1.94 (* END-PROOF *)
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