%------------------------------------------------------------------------------ % 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 *) %------------------------------------------------------------------------------