%------------------------------------------------------------------------------ % 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 : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----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 *) %------------------------------------------------------------------------------