TSTP Solution File: SET108+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET108+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 : n023.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 05:39:31 EDT 2022
% Result : Theorem 30.25s 30.45s
% Output : Proof 30.25s
% 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 : SET108+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 10:02:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 30.25/30.45 % SZS status Theorem
% 30.25/30.45 (* PROOF-FOUND *)
% 30.25/30.45 (* BEGIN-PROOF *)
% 30.25/30.45 % SZS output start Proof
% 30.25/30.45 1. ((member T_0 (universal_class)) /\ ((member T_1 (universal_class)) /\ (T_2 = (ordered_pair T_0 T_1)))) (-. ((member T_0 (universal_class)) /\ ((member T_1 (universal_class)) /\ (T_2 = (ordered_pair T_0 T_1))))) ### Axiom
% 30.25/30.45 2. (-. (((member T_0 (universal_class)) /\ ((member T_1 (universal_class)) /\ (T_2 = (ordered_pair T_0 T_1)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((T_0 = T_2) /\ (T_1 = T_2))))) ((member T_0 (universal_class)) /\ ((member T_1 (universal_class)) /\ (T_2 = (ordered_pair T_0 T_1)))) ### NotOr 1
% 30.25/30.45 3. (-. (Ex V, (((member T_0 (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair T_0 V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((T_0 = T_2) /\ (V = T_2)))))) ((member T_0 (universal_class)) /\ ((member T_1 (universal_class)) /\ (T_2 = (ordered_pair T_0 T_1)))) ### NotExists 2
% 30.25/30.45 4. (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ((member T_0 (universal_class)) /\ ((member T_1 (universal_class)) /\ (T_2 = (ordered_pair T_0 T_1)))) ### NotExists 3
% 30.25/30.45 5. (Ex Z, ((member T_0 (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair T_0 Z))))) (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ### Exists 4
% 30.25/30.45 6. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z)))))) (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ### Exists 5
% 30.25/30.45 7. (T_2 != T_2) ### Refl(=)
% 30.25/30.45 8. (T_2 != T_2) ### Refl(=)
% 30.25/30.45 9. (-. ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((T_2 = T_2) /\ (T_2 = T_2)))) (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ### DisjTree 6 7 8
% 30.25/30.45 10. (-. (((member T_2 (universal_class)) /\ ((member T_2 (universal_class)) /\ (T_2 = (ordered_pair T_2 T_2)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((T_2 = T_2) /\ (T_2 = T_2))))) (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ### NotOr 9
% 30.25/30.45 11. (-. (Ex V, (((member T_2 (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair T_2 V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((T_2 = T_2) /\ (V = T_2)))))) (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ### NotExists 10
% 30.25/30.45 12. (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ### NotExists 11
% 30.25/30.45 13. (-. (All X, (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (X = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (X = (ordered_pair Y Z))))))) /\ ((U = X) /\ (V = X)))))))) ### NotAllEx 12
% 30.25/30.45 % SZS output end Proof
% 30.25/30.45 (* END-PROOF *)
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