%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM584+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 : n008.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 14:43:52 EDT 2022 % Result : Theorem 0.12s 0.40s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUM584+3 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n008.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jul 5 03:32:08 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.40 % SZS status Theorem % 0.12/0.40 (* PROOF-FOUND *) % 0.12/0.40 (* BEGIN-PROOF *) % 0.12/0.40 % SZS output start Proof % 0.12/0.40 1. (All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) => (aElementOf0 W0 (xS)))) (-. (All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) => (aElementOf0 W0 (xS))))) ### Axiom % 0.12/0.40 2. (-. ((All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) => (aElementOf0 W0 (xS)))) \/ (aSubsetOf0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))) (xS)))) (All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) => (aElementOf0 W0 (xS)))) ### NotOr 1 % 0.12/0.40 3. ((sbrdtbr0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) = (xK)) ((sbrdtbr0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) != (xK)) ### Axiom % 0.12/0.40 4. (-. (((All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) => (aElementOf0 W0 (xS)))) \/ (aSubsetOf0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))) (xS))) /\ ((sbrdtbr0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) = (xK)))) ((sbrdtbr0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) = (xK)) (All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) => (aElementOf0 W0 (xS)))) ### NotAnd 2 3 % 0.12/0.40 5. (-. (((aElementOf0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) (sdtlpdtrp0 (xN) (xi))) /\ (All W0, ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) => (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) W0)))) => (((aSet0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) /\ (All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) \/ (W0 = (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))))))) => ((((All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) => (aElementOf0 W0 (xS)))) \/ (aSubsetOf0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))) (xS))) /\ ((sbrdtbr0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) = (xK))) \/ (aElementOf0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))) (slbdtsldtrb0 (xS) (xK))))))) (All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) => (aElementOf0 W0 (xS)))) ((sbrdtbr0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) = (xK)) ### ConjTree 4 % 0.12/0.40 6. ((aElementOf0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) (sdtlpdtrp0 (xN) (xi))) /\ ((All W0, ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) => (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) W0))) /\ ((aSet0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) /\ ((All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) \/ (W0 = (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))) /\ ((All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) => (aElementOf0 W0 (xS)))) /\ (aSubsetOf0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))) (xS))))))) ((sbrdtbr0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) = (xK)) (-. (((aElementOf0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) (sdtlpdtrp0 (xN) (xi))) /\ (All W0, ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) => (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) W0)))) => (((aSet0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) /\ (All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) \/ (W0 = (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))))))) => ((((All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) => (aElementOf0 W0 (xS)))) \/ (aSubsetOf0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))) (xS))) /\ ((sbrdtbr0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) = (xK))) \/ (aElementOf0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))) (slbdtsldtrb0 (xS) (xK))))))) ### ConjTree 5 % 0.12/0.40 7. ((aElementOf0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) (sdtlpdtrp0 (xN) (xi))) /\ ((All W0, ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) => (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) W0))) /\ ((aSet0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) /\ ((All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) \/ (W0 = (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))) /\ ((sbrdtbr0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) = (xK)))))) (-. (((aElementOf0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) (sdtlpdtrp0 (xN) (xi))) /\ (All W0, ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) => (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) W0)))) => (((aSet0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) /\ (All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) \/ (W0 = (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))))))) => ((((All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) => (aElementOf0 W0 (xS)))) \/ (aSubsetOf0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))) (xS))) /\ ((sbrdtbr0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) = (xK))) \/ (aElementOf0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))) (slbdtsldtrb0 (xS) (xK))))))) ((aElementOf0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) (sdtlpdtrp0 (xN) (xi))) /\ ((All W0, ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi))) => (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) W0))) /\ ((aSet0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) /\ ((All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) \/ (W0 = (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))) /\ ((All W0, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) => (aElementOf0 W0 (xS)))) /\ (aSubsetOf0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))) (xS))))))) ### ConjTree 6 % 0.12/0.40 % SZS output end Proof % 0.12/0.40 (* END-PROOF *) %------------------------------------------------------------------------------