%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM552+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 : n029.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 14:43:33 EDT 2022 % Result : Theorem 0.21s 0.52s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : NUM552+3 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.15/0.35 % Computer : n029.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 600 % 0.15/0.35 % DateTime : Tue Jul 5 11:23:57 EDT 2022 % 0.15/0.35 % CPUTime : % 0.21/0.52 % SZS status Theorem % 0.21/0.52 (* PROOF-FOUND *) % 0.21/0.52 (* BEGIN-PROOF *) % 0.21/0.52 % SZS output start Proof % 0.21/0.52 1. (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))) (-. (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk)))) ### Axiom % 0.21/0.52 2. (-. (aElementOf0 (xQ) (slbdtsldtrb0 (xT) (xk)))) (aElementOf0 (xQ) (slbdtsldtrb0 (xT) (xk))) ### Axiom % 0.21/0.52 3. ((aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))) => (aElementOf0 (xQ) (slbdtsldtrb0 (xT) (xk)))) (-. (aElementOf0 (xQ) (slbdtsldtrb0 (xT) (xk)))) (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))) ### Imply 1 2 % 0.21/0.52 4. (All W0, ((aElementOf0 W0 (slbdtsldtrb0 (xS) (xk))) => (aElementOf0 W0 (slbdtsldtrb0 (xT) (xk))))) (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))) (-. (aElementOf0 (xQ) (slbdtsldtrb0 (xT) (xk)))) ### All 3 % 0.21/0.52 5. (-. ((aElementOf0 (xx) (xQ)) => (aElementOf0 (xx) (xT)))) ((aElementOf0 (xx) (xQ)) => (aElementOf0 (xx) (xT))) ### Axiom % 0.21/0.52 6. (All W1, ((aElementOf0 W1 (xQ)) => (aElementOf0 W1 (xT)))) (-. ((aElementOf0 (xx) (xQ)) => (aElementOf0 (xx) (xT)))) ### All 5 % 0.21/0.52 7. ((aSet0 (xQ)) /\ ((All W1, ((aElementOf0 W1 (xQ)) => (aElementOf0 W1 (xT)))) /\ ((aSubsetOf0 (xQ) (xT)) /\ ((sbrdtbr0 (xQ)) = (xk))))) (-. ((aElementOf0 (xx) (xQ)) => (aElementOf0 (xx) (xT)))) ### ConjTree 6 % 0.21/0.52 8. ((aElementOf0 (xQ) (slbdtsldtrb0 (xT) (xk))) => ((aSet0 (xQ)) /\ ((All W1, ((aElementOf0 W1 (xQ)) => (aElementOf0 W1 (xT)))) /\ ((aSubsetOf0 (xQ) (xT)) /\ ((sbrdtbr0 (xQ)) = (xk)))))) (-. ((aElementOf0 (xx) (xQ)) => (aElementOf0 (xx) (xT)))) (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))) (All W0, ((aElementOf0 W0 (slbdtsldtrb0 (xS) (xk))) => (aElementOf0 W0 (slbdtsldtrb0 (xT) (xk))))) ### Imply 4 7 % 0.21/0.52 9. (((aElementOf0 (xQ) (slbdtsldtrb0 (xT) (xk))) => ((aSet0 (xQ)) /\ ((All W1, ((aElementOf0 W1 (xQ)) => (aElementOf0 W1 (xT)))) /\ ((aSubsetOf0 (xQ) (xT)) /\ ((sbrdtbr0 (xQ)) = (xk)))))) /\ (((((aSet0 (xQ)) /\ (All W1, ((aElementOf0 W1 (xQ)) => (aElementOf0 W1 (xT))))) \/ (aSubsetOf0 (xQ) (xT))) /\ ((sbrdtbr0 (xQ)) = (xk))) => (aElementOf0 (xQ) (slbdtsldtrb0 (xT) (xk))))) (All W0, ((aElementOf0 W0 (slbdtsldtrb0 (xS) (xk))) => (aElementOf0 W0 (slbdtsldtrb0 (xT) (xk))))) (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))) (-. ((aElementOf0 (xx) (xQ)) => (aElementOf0 (xx) (xT)))) ### And 8 % 0.21/0.52 10. (All W0, (((aElementOf0 W0 (slbdtsldtrb0 (xT) (xk))) => ((aSet0 W0) /\ ((All W1, ((aElementOf0 W1 W0) => (aElementOf0 W1 (xT)))) /\ ((aSubsetOf0 W0 (xT)) /\ ((sbrdtbr0 W0) = (xk)))))) /\ (((((aSet0 W0) /\ (All W1, ((aElementOf0 W1 W0) => (aElementOf0 W1 (xT))))) \/ (aSubsetOf0 W0 (xT))) /\ ((sbrdtbr0 W0) = (xk))) => (aElementOf0 W0 (slbdtsldtrb0 (xT) (xk)))))) (-. ((aElementOf0 (xx) (xQ)) => (aElementOf0 (xx) (xT)))) (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))) (All W0, ((aElementOf0 W0 (slbdtsldtrb0 (xS) (xk))) => (aElementOf0 W0 (slbdtsldtrb0 (xT) (xk))))) ### All 9 % 0.21/0.52 11. ((aSet0 (xQ)) /\ ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) /\ ((aSubsetOf0 (xQ) (xS)) /\ (((sbrdtbr0 (xQ)) = (xk)) /\ (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))))))) (All W0, ((aElementOf0 W0 (slbdtsldtrb0 (xS) (xk))) => (aElementOf0 W0 (slbdtsldtrb0 (xT) (xk))))) (-. ((aElementOf0 (xx) (xQ)) => (aElementOf0 (xx) (xT)))) (All W0, (((aElementOf0 W0 (slbdtsldtrb0 (xT) (xk))) => ((aSet0 W0) /\ ((All W1, ((aElementOf0 W1 W0) => (aElementOf0 W1 (xT)))) /\ ((aSubsetOf0 W0 (xT)) /\ ((sbrdtbr0 W0) = (xk)))))) /\ (((((aSet0 W0) /\ (All W1, ((aElementOf0 W1 W0) => (aElementOf0 W1 (xT))))) \/ (aSubsetOf0 W0 (xT))) /\ ((sbrdtbr0 W0) = (xk))) => (aElementOf0 W0 (slbdtsldtrb0 (xT) (xk)))))) ### ConjTree 10 % 0.21/0.52 12. ((aSet0 (slbdtsldtrb0 (xS) (xk))) /\ ((All W0, (((aElementOf0 W0 (slbdtsldtrb0 (xS) (xk))) => ((aSet0 W0) /\ ((All W1, ((aElementOf0 W1 W0) => (aElementOf0 W1 (xS)))) /\ ((aSubsetOf0 W0 (xS)) /\ ((sbrdtbr0 W0) = (xk)))))) /\ (((((aSet0 W0) /\ (All W1, ((aElementOf0 W1 W0) => (aElementOf0 W1 (xS))))) \/ (aSubsetOf0 W0 (xS))) /\ ((sbrdtbr0 W0) = (xk))) => (aElementOf0 W0 (slbdtsldtrb0 (xS) (xk)))))) /\ ((aSet0 (slbdtsldtrb0 (xT) (xk))) /\ ((All W0, (((aElementOf0 W0 (slbdtsldtrb0 (xT) (xk))) => ((aSet0 W0) /\ ((All W1, ((aElementOf0 W1 W0) => (aElementOf0 W1 (xT)))) /\ ((aSubsetOf0 W0 (xT)) /\ ((sbrdtbr0 W0) = (xk)))))) /\ (((((aSet0 W0) /\ (All W1, ((aElementOf0 W1 W0) => (aElementOf0 W1 (xT))))) \/ (aSubsetOf0 W0 (xT))) /\ ((sbrdtbr0 W0) = (xk))) => (aElementOf0 W0 (slbdtsldtrb0 (xT) (xk)))))) /\ ((All W0, ((aElementOf0 W0 (slbdtsldtrb0 (xS) (xk))) => (aElementOf0 W0 (slbdtsldtrb0 (xT) (xk))))) /\ ((aSubsetOf0 (slbdtsldtrb0 (xS) (xk)) (slbdtsldtrb0 (xT) (xk))) /\ (-. ((All W0, (((aElementOf0 W0 (slbdtsldtrb0 (xS) (xk))) => ((aSet0 W0) /\ ((All W1, ((aElementOf0 W1 W0) => (aElementOf0 W1 (xS)))) /\ ((aSubsetOf0 W0 (xS)) /\ ((sbrdtbr0 W0) = (xk)))))) /\ (((((aSet0 W0) /\ (All W1, ((aElementOf0 W1 W0) => (aElementOf0 W1 (xS))))) \/ (aSubsetOf0 W0 (xS))) /\ ((sbrdtbr0 W0) = (xk))) => (aElementOf0 W0 (slbdtsldtrb0 (xS) (xk)))))) => ((-. (Ex W0, (aElementOf0 W0 (slbdtsldtrb0 (xS) (xk))))) \/ ((slbdtsldtrb0 (xS) (xk)) = (slcrc0))))))))))) (-. ((aElementOf0 (xx) (xQ)) => (aElementOf0 (xx) (xT)))) ((aSet0 (xQ)) /\ ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) /\ ((aSubsetOf0 (xQ) (xS)) /\ (((sbrdtbr0 (xQ)) = (xk)) /\ (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))))))) ### ConjTree 11 % 0.21/0.52 % SZS output end Proof % 0.21/0.52 (* END-PROOF *) %------------------------------------------------------------------------------