TSTP Solution File: NUM590+3 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM590+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 : n013.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 14:43:55 EDT 2022
% Result : Theorem 240.75s 240.91s
% Output : Proof 240.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : NUM590+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jul 6 14:17:29 EDT 2022
% 0.14/0.36 % CPUTime :
% 240.75/240.91 % SZS status Theorem
% 240.75/240.91 (* PROOF-FOUND *)
% 240.75/240.91 (* BEGIN-PROOF *)
% 240.75/240.91 % SZS output start Proof
% 240.75/240.91 1. (aElementOf0 (xi) (szNzAzT0)) (-. (aElementOf0 (xi) (szNzAzT0))) ### Axiom
% 240.75/240.91 2. (aElementOf0 T_0 (xY)) (-. (aElementOf0 T_0 (xY))) ### Axiom
% 240.75/240.91 3. (-. (aElementOf0 T_0 (sdtlpdtrp0 (xN) (xi)))) (aElementOf0 T_0 (sdtlpdtrp0 (xN) (xi))) ### Axiom
% 240.75/240.91 4. ((aElement0 T_0) /\ ((aElementOf0 T_0 (sdtlpdtrp0 (xN) (xi))) /\ (T_0 != (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))) (-. (aElementOf0 T_0 (sdtlpdtrp0 (xN) (xi)))) ### ConjTree 3
% 240.75/240.91 5. ((aElementOf0 T_0 (xY)) <=> ((aElement0 T_0) /\ ((aElementOf0 T_0 (sdtlpdtrp0 (xN) (xi))) /\ (T_0 != (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))))) (-. (aElementOf0 T_0 (sdtlpdtrp0 (xN) (xi)))) (aElementOf0 T_0 (xY)) ### Equiv 2 4
% 240.75/240.91 6. (All W0, ((aElementOf0 W0 (xY)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) /\ (W0 != (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))) (aElementOf0 T_0 (xY)) (-. (aElementOf0 T_0 (sdtlpdtrp0 (xN) (xi)))) ### All 5
% 240.75/240.91 7. (-. (aElementOf0 T_0 (szNzAzT0))) (aElementOf0 T_0 (szNzAzT0)) ### Axiom
% 240.75/240.91 8. ((aElementOf0 T_0 (sdtlpdtrp0 (xN) (xi))) => (aElementOf0 T_0 (szNzAzT0))) (-. (aElementOf0 T_0 (szNzAzT0))) (aElementOf0 T_0 (xY)) (All W0, ((aElementOf0 W0 (xY)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) /\ (W0 != (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))) ### Imply 6 7
% 240.75/240.91 9. (All W1, ((aElementOf0 W1 (sdtlpdtrp0 (xN) (xi))) => (aElementOf0 W1 (szNzAzT0)))) (All W0, ((aElementOf0 W0 (xY)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) /\ (W0 != (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))) (aElementOf0 T_0 (xY)) (-. (aElementOf0 T_0 (szNzAzT0))) ### All 8
% 240.75/240.91 10. ((aSet0 (sdtlpdtrp0 (xN) (xi))) /\ ((All W1, ((aElementOf0 W1 (sdtlpdtrp0 (xN) (xi))) => (aElementOf0 W1 (szNzAzT0)))) /\ ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) (xi)))))) (-. (aElementOf0 T_0 (szNzAzT0))) (aElementOf0 T_0 (xY)) (All W0, ((aElementOf0 W0 (xY)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) /\ (W0 != (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))) ### ConjTree 9
% 240.75/240.91 11. ((aElementOf0 (xi) (szNzAzT0)) => ((aSet0 (sdtlpdtrp0 (xN) (xi))) /\ ((All W1, ((aElementOf0 W1 (sdtlpdtrp0 (xN) (xi))) => (aElementOf0 W1 (szNzAzT0)))) /\ ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) (xi))))))) (All W0, ((aElementOf0 W0 (xY)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) /\ (W0 != (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))) (aElementOf0 T_0 (xY)) (-. (aElementOf0 T_0 (szNzAzT0))) (aElementOf0 (xi) (szNzAzT0)) ### Imply 1 10
% 240.75/240.91 12. (All W0, ((aElementOf0 W0 (szNzAzT0)) => ((aSet0 (sdtlpdtrp0 (xN) W0)) /\ ((All W1, ((aElementOf0 W1 (sdtlpdtrp0 (xN) W0)) => (aElementOf0 W1 (szNzAzT0)))) /\ ((aSubsetOf0 (sdtlpdtrp0 (xN) W0) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) W0))))))) (aElementOf0 (xi) (szNzAzT0)) (-. (aElementOf0 T_0 (szNzAzT0))) (aElementOf0 T_0 (xY)) (All W0, ((aElementOf0 W0 (xY)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) /\ (W0 != (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))) ### All 11
% 240.75/240.91 13. ((aElementOf0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) (sdtlpdtrp0 (xN) (xi))) /\ ((All W0, ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) => (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) W0))) /\ ((aSet0 (xY)) /\ ((All W0, ((aElementOf0 W0 (xY)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) /\ (W0 != (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))) /\ (((xY) = (sdtmndt0 (sdtlpdtrp0 (xN) (xi)) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) /\ ((xd) = (sdtlpdtrp0 (xC) (xi)))))))) (aElementOf0 T_0 (xY)) (-. (aElementOf0 T_0 (szNzAzT0))) (aElementOf0 (xi) (szNzAzT0)) (All W0, ((aElementOf0 W0 (szNzAzT0)) => ((aSet0 (sdtlpdtrp0 (xN) W0)) /\ ((All W1, ((aElementOf0 W1 (sdtlpdtrp0 (xN) W0)) => (aElementOf0 W1 (szNzAzT0)))) /\ ((aSubsetOf0 (sdtlpdtrp0 (xN) W0) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) W0))))))) ### ConjTree 12
% 240.75/240.91 14. (-. ((aElementOf0 T_0 (xY)) => (aElementOf0 T_0 (szNzAzT0)))) (All W0, ((aElementOf0 W0 (szNzAzT0)) => ((aSet0 (sdtlpdtrp0 (xN) W0)) /\ ((All W1, ((aElementOf0 W1 (sdtlpdtrp0 (xN) W0)) => (aElementOf0 W1 (szNzAzT0)))) /\ ((aSubsetOf0 (sdtlpdtrp0 (xN) W0) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) W0))))))) (aElementOf0 (xi) (szNzAzT0)) ((aElementOf0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) (sdtlpdtrp0 (xN) (xi))) /\ ((All W0, ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) => (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) W0))) /\ ((aSet0 (xY)) /\ ((All W0, ((aElementOf0 W0 (xY)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) /\ (W0 != (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))) /\ (((xY) = (sdtmndt0 (sdtlpdtrp0 (xN) (xi)) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) /\ ((xd) = (sdtlpdtrp0 (xC) (xi)))))))) ### NotImply 13
% 240.75/240.91 15. (-. (All W0, ((aElementOf0 W0 (xY)) => (aElementOf0 W0 (szNzAzT0))))) ((aElementOf0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) (sdtlpdtrp0 (xN) (xi))) /\ ((All W0, ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) => (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) W0))) /\ ((aSet0 (xY)) /\ ((All W0, ((aElementOf0 W0 (xY)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) /\ (W0 != (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))) /\ (((xY) = (sdtmndt0 (sdtlpdtrp0 (xN) (xi)) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) /\ ((xd) = (sdtlpdtrp0 (xC) (xi)))))))) (aElementOf0 (xi) (szNzAzT0)) (All W0, ((aElementOf0 W0 (szNzAzT0)) => ((aSet0 (sdtlpdtrp0 (xN) W0)) /\ ((All W1, ((aElementOf0 W1 (sdtlpdtrp0 (xN) W0)) => (aElementOf0 W1 (szNzAzT0)))) /\ ((aSubsetOf0 (sdtlpdtrp0 (xN) W0) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) W0))))))) ### NotAllEx 14
% 240.75/240.91 16. (-. ((All W0, ((aElementOf0 W0 (xY)) => (aElementOf0 W0 (szNzAzT0)))) \/ (aSubsetOf0 (xY) (szNzAzT0)))) (All W0, ((aElementOf0 W0 (szNzAzT0)) => ((aSet0 (sdtlpdtrp0 (xN) W0)) /\ ((All W1, ((aElementOf0 W1 (sdtlpdtrp0 (xN) W0)) => (aElementOf0 W1 (szNzAzT0)))) /\ ((aSubsetOf0 (sdtlpdtrp0 (xN) W0) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) W0))))))) (aElementOf0 (xi) (szNzAzT0)) ((aElementOf0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) (sdtlpdtrp0 (xN) (xi))) /\ ((All W0, ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) => (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) W0))) /\ ((aSet0 (xY)) /\ ((All W0, ((aElementOf0 W0 (xY)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) /\ (W0 != (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))) /\ (((xY) = (sdtmndt0 (sdtlpdtrp0 (xN) (xi)) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) /\ ((xd) = (sdtlpdtrp0 (xC) (xi)))))))) ### NotOr 15
% 240.75/240.91 % SZS output end Proof
% 240.75/240.91 (* END-PROOF *)
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