TSTP Solution File: NUM606+3 by SuperZenon---0.0.1
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% File : SuperZenon---0.0.1
% Problem : NUM606+3 : 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 : 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 : Mon Jul 18 14:44:04 EDT 2022
% Result : Theorem 62.21s 62.41s
% Output : Proof 62.21s
% 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 : NUM606+3 : 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 : 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 : Thu Jul 7 18:25:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 62.21/62.41 % SZS status Theorem
% 62.21/62.41 (* PROOF-FOUND *)
% 62.21/62.41 (* BEGIN-PROOF *)
% 62.21/62.41 % SZS output start Proof
% 62.21/62.41 1. (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (xQ))) ### Axiom
% 62.21/62.41 2. (-. (aElementOf0 T_0 (xO))) (aElementOf0 T_0 (xO)) ### Axiom
% 62.21/62.41 3. ((aElementOf0 T_0 (xQ)) => (aElementOf0 T_0 (xO))) (-. (aElementOf0 T_0 (xO))) (aElementOf0 T_0 (xQ)) ### Imply 1 2
% 62.21/62.41 4. (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (xO))) ### All 3
% 62.21/62.41 5. (-. (aElementOf0 T_0 (xS))) (aElementOf0 T_0 (xS)) ### Axiom
% 62.21/62.41 6. ((aElementOf0 T_0 (xO)) => (aElementOf0 T_0 (xS))) (-. (aElementOf0 T_0 (xS))) (aElementOf0 T_0 (xQ)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) ### Imply 4 5
% 62.21/62.41 7. (All W0, ((aElementOf0 W0 (xO)) => (aElementOf0 W0 (xS)))) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (xS))) ### All 6
% 62.21/62.41 8. (-. (aElementOf0 T_0 (szNzAzT0))) (aElementOf0 T_0 (szNzAzT0)) ### Axiom
% 62.21/62.41 9. ((aElementOf0 T_0 (xS)) => (aElementOf0 T_0 (szNzAzT0))) (-. (aElementOf0 T_0 (szNzAzT0))) (aElementOf0 T_0 (xQ)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) (All W0, ((aElementOf0 W0 (xO)) => (aElementOf0 W0 (xS)))) ### Imply 7 8
% 62.21/62.41 10. (All W0, ((aElementOf0 W0 (xS)) => (aElementOf0 W0 (szNzAzT0)))) (All W0, ((aElementOf0 W0 (xO)) => (aElementOf0 W0 (xS)))) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (szNzAzT0))) ### All 9
% 62.21/62.41 11. ((aSet0 (xS)) /\ ((All W0, ((aElementOf0 W0 (xS)) => (aElementOf0 W0 (szNzAzT0)))) /\ ((aSubsetOf0 (xS) (szNzAzT0)) /\ (isCountable0 (xS))))) (-. (aElementOf0 T_0 (szNzAzT0))) (aElementOf0 T_0 (xQ)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) (All W0, ((aElementOf0 W0 (xO)) => (aElementOf0 W0 (xS)))) ### ConjTree 10
% 62.21/62.41 12. ((All W0, ((aElementOf0 W0 (xO)) => (aElementOf0 W0 (xS)))) /\ (aSubsetOf0 (xO) (xS))) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (szNzAzT0))) ((aSet0 (xS)) /\ ((All W0, ((aElementOf0 W0 (xS)) => (aElementOf0 W0 (szNzAzT0)))) /\ ((aSubsetOf0 (xS) (szNzAzT0)) /\ (isCountable0 (xS))))) ### And 11
% 62.21/62.41 13. ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) /\ (-. ((-. (Ex W0, (aElementOf0 W0 (xQ)))) \/ ((xQ) = (slcrc0))))) ((aSet0 (xS)) /\ ((All W0, ((aElementOf0 W0 (xS)) => (aElementOf0 W0 (szNzAzT0)))) /\ ((aSubsetOf0 (xS) (szNzAzT0)) /\ (isCountable0 (xS))))) (-. (aElementOf0 T_0 (szNzAzT0))) (aElementOf0 T_0 (xQ)) ((All W0, ((aElementOf0 W0 (xO)) => (aElementOf0 W0 (xS)))) /\ (aSubsetOf0 (xO) (xS))) ### ConjTree 12
% 62.21/62.41 14. (-. ((aElementOf0 T_0 (xQ)) => (aElementOf0 T_0 (szNzAzT0)))) ((All W0, ((aElementOf0 W0 (xO)) => (aElementOf0 W0 (xS)))) /\ (aSubsetOf0 (xO) (xS))) ((aSet0 (xS)) /\ ((All W0, ((aElementOf0 W0 (xS)) => (aElementOf0 W0 (szNzAzT0)))) /\ ((aSubsetOf0 (xS) (szNzAzT0)) /\ (isCountable0 (xS))))) ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) /\ (-. ((-. (Ex W0, (aElementOf0 W0 (xQ)))) \/ ((xQ) = (slcrc0))))) ### NotImply 13
% 62.21/62.41 15. (-. (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (szNzAzT0))))) ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) /\ (-. ((-. (Ex W0, (aElementOf0 W0 (xQ)))) \/ ((xQ) = (slcrc0))))) ((aSet0 (xS)) /\ ((All W0, ((aElementOf0 W0 (xS)) => (aElementOf0 W0 (szNzAzT0)))) /\ ((aSubsetOf0 (xS) (szNzAzT0)) /\ (isCountable0 (xS))))) ((All W0, ((aElementOf0 W0 (xO)) => (aElementOf0 W0 (xS)))) /\ (aSubsetOf0 (xO) (xS))) ### NotAllEx 14
% 62.21/62.41 16. (-. ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (szNzAzT0)))) \/ (aSubsetOf0 (xQ) (szNzAzT0)))) ((All W0, ((aElementOf0 W0 (xO)) => (aElementOf0 W0 (xS)))) /\ (aSubsetOf0 (xO) (xS))) ((aSet0 (xS)) /\ ((All W0, ((aElementOf0 W0 (xS)) => (aElementOf0 W0 (szNzAzT0)))) /\ ((aSubsetOf0 (xS) (szNzAzT0)) /\ (isCountable0 (xS))))) ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) /\ (-. ((-. (Ex W0, (aElementOf0 W0 (xQ)))) \/ ((xQ) = (slcrc0))))) ### NotOr 15
% 62.21/62.41 % SZS output end Proof
% 62.21/62.41 (* END-PROOF *)
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