TSTP Solution File: NUM551+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM551+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n015.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 : Mon Jul 18 14:43:32 EDT 2022
% Result : Theorem 89.99s 90.28s
% Output : Proof 89.99s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM551+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n015.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 : Wed Jul 6 08:57:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 89.99/90.28 % SZS status Theorem
% 89.99/90.28 (* PROOF-FOUND *)
% 89.99/90.28 (* BEGIN-PROOF *)
% 89.99/90.28 % SZS output start Proof
% 89.99/90.28 1. (aSet0 (xQ)) (-. (aSet0 (xQ))) ### Axiom
% 89.99/90.28 2. (aSet0 (xQ)) (-. (aSet0 (xQ))) ### Axiom
% 89.99/90.28 3. (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (xQ))) ### Axiom
% 89.99/90.28 4. (-. (aElement0 T_0)) (aElement0 T_0) ### Axiom
% 89.99/90.28 5. ((aElementOf0 T_0 (xQ)) => (aElement0 T_0)) (-. (aElement0 T_0)) (aElementOf0 T_0 (xQ)) ### Imply 3 4
% 89.99/90.28 6. (All W1, ((aElementOf0 W1 (xQ)) => (aElement0 W1))) (aElementOf0 T_0 (xQ)) (-. (aElement0 T_0)) ### All 5
% 89.99/90.28 7. ((aSet0 (xQ)) => (All W1, ((aElementOf0 W1 (xQ)) => (aElement0 W1)))) (-. (aElement0 T_0)) (aElementOf0 T_0 (xQ)) (aSet0 (xQ)) ### Imply 2 6
% 89.99/90.28 8. (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (aSet0 (xQ)) (aElementOf0 T_0 (xQ)) (-. (aElement0 T_0)) ### All 7
% 89.99/90.28 9. (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (xQ))) ### Axiom
% 89.99/90.28 10. (-. ((aElement0 T_0) /\ (aElementOf0 T_0 (xQ)))) (aElementOf0 T_0 (xQ)) (aSet0 (xQ)) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) ### NotAnd 8 9
% 89.99/90.28 11. (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (aSet0 (xQ)) (aElementOf0 T_0 (xQ)) ### NotExists 10
% 89.99/90.28 12. (Ex W1, (aElementOf0 W1 (xQ))) (aSet0 (xQ)) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) ### Exists 11
% 89.99/90.28 13. (-. (-. (Ex W1, (aElementOf0 W1 (xQ))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (aSet0 (xQ)) ### NotNot 12
% 89.99/90.28 14. (-. ((aSet0 (xQ)) /\ (-. (Ex W1, (aElementOf0 W1 (xQ)))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (aSet0 (xQ)) ### NotAnd 1 13
% 89.99/90.28 15. ((xQ) != (slcrc0)) ((xQ) = (slcrc0)) ### Axiom
% 89.99/90.28 16. (((xQ) = (slcrc0)) <=> ((aSet0 (xQ)) /\ (-. (Ex W1, (aElementOf0 W1 (xQ)))))) ((xQ) != (slcrc0)) (aSet0 (xQ)) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) ### Equiv 14 15
% 89.99/90.28 17. (All W0, ((W0 = (slcrc0)) <=> ((aSet0 W0) /\ (-. (Ex W1, (aElementOf0 W1 W0)))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (aSet0 (xQ)) ((xQ) != (slcrc0)) ### All 16
% 89.99/90.28 18. ((aSet0 (xQ)) /\ ((isFinite0 (xQ)) /\ ((sbrdtbr0 (xQ)) = (xk)))) ((xQ) != (slcrc0)) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (All W0, ((W0 = (slcrc0)) <=> ((aSet0 W0) /\ (-. (Ex W1, (aElementOf0 W1 W0)))))) ### ConjTree 17
% 89.99/90.28 % SZS output end Proof
% 89.99/90.28 (* END-PROOF *)
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