%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM571+1 : 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 : n015.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 14:43:44 EDT 2022 % Result : Theorem 6.32s 6.52s % Output : Proof 6.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : NUM571+1 : TPTP v8.1.0. Released v4.0.0. % 0.04/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.36 % Computer : n015.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 15:22:04 EDT 2022 % 0.14/0.36 % CPUTime : % 6.32/6.52 % SZS status Theorem % 6.32/6.52 (* PROOF-FOUND *) % 6.32/6.52 (* BEGIN-PROOF *) % 6.32/6.52 % SZS output start Proof % 6.32/6.52 1. ((xN) != (xN)) ### NotEqual % 6.32/6.52 2. ((xi) = (sz00)) ((xi) != (sz00)) ### Axiom % 6.32/6.52 3. ((sdtlpdtrp0 (xN) (xi)) != (sdtlpdtrp0 (xN) (sz00))) ((xi) = (sz00)) ### NotEqual 1 2 % 6.32/6.52 4. ((xS) != (xS)) ### NotEqual % 6.32/6.52 5. ((xS) != (sdtlpdtrp0 (xN) (xi))) ((sdtlpdtrp0 (xN) (sz00)) = (xS)) ((xi) = (sz00)) ### Trans-sym 3 4 % 6.32/6.52 6. ((szNzAzT0) != (szNzAzT0)) ### NotEqual % 6.32/6.52 7. (-. (aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0))) (aSubsetOf0 (xS) (szNzAzT0)) ((xi) = (sz00)) ((sdtlpdtrp0 (xN) (sz00)) = (xS)) ### P-NotP 5 6 % 6.32/6.52 8. (-. (isCountable0 (sdtlpdtrp0 (xN) (xi)))) (isCountable0 (xS)) ((xi) = (sz00)) ((sdtlpdtrp0 (xN) (sz00)) = (xS)) ### P-NotP 5 % 6.32/6.52 9. (-. ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) (xi))))) (isCountable0 (xS)) ((sdtlpdtrp0 (xN) (sz00)) = (xS)) ((xi) = (sz00)) (aSubsetOf0 (xS) (szNzAzT0)) ### NotAnd 7 8 % 6.32/6.52 10. (-. ((xi) != (sz00))) (aSubsetOf0 (xS) (szNzAzT0)) ((sdtlpdtrp0 (xN) (sz00)) = (xS)) (isCountable0 (xS)) (-. ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) (xi))))) ### NotNot 9 % 6.32/6.52 11. (aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) (-. (aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0))) ### Axiom % 6.32/6.52 12. (isCountable0 (sdtlpdtrp0 (xN) (xi))) (-. (isCountable0 (sdtlpdtrp0 (xN) (xi)))) ### Axiom % 6.32/6.52 13. (-. ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) (xi))))) (isCountable0 (sdtlpdtrp0 (xN) (xi))) (aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) ### NotAnd 11 12 % 6.32/6.52 14. ((Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xi)))) /\ ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) (xi))))) (-. ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) (xi))))) ### ConjTree 13 % 6.32/6.52 15. (((xi) != (sz00)) => ((Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xi)))) /\ ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) (xi)))))) (-. ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) (xi))))) (isCountable0 (xS)) ((sdtlpdtrp0 (xN) (sz00)) = (xS)) (aSubsetOf0 (xS) (szNzAzT0)) ### Imply 10 14 % 6.32/6.52 16. ((aFunction0 (xN)) /\ (((szDzozmdt0 (xN)) = (szNzAzT0)) /\ (((sdtlpdtrp0 (xN) (sz00)) = (xS)) /\ (All W0, ((aElementOf0 W0 (szNzAzT0)) => (((aSubsetOf0 (sdtlpdtrp0 (xN) W0) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) W0))) => ((aSubsetOf0 (sdtlpdtrp0 (xN) (szszuzczcdt0 W0)) (sdtmndt0 (sdtlpdtrp0 (xN) W0) (szmzizndt0 (sdtlpdtrp0 (xN) W0)))) /\ (isCountable0 (sdtlpdtrp0 (xN) (szszuzczcdt0 W0)))))))))) (aSubsetOf0 (xS) (szNzAzT0)) (isCountable0 (xS)) (-. ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) (xi))))) (((xi) != (sz00)) => ((Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xi)))) /\ ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) (xi)))))) ### ConjTree 15 % 6.32/6.52 17. ((aSubsetOf0 (xS) (szNzAzT0)) /\ (isCountable0 (xS))) (((xi) != (sz00)) => ((Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xi)))) /\ ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) (xi)))))) (-. ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) (xi))))) ((aFunction0 (xN)) /\ (((szDzozmdt0 (xN)) = (szNzAzT0)) /\ (((sdtlpdtrp0 (xN) (sz00)) = (xS)) /\ (All W0, ((aElementOf0 W0 (szNzAzT0)) => (((aSubsetOf0 (sdtlpdtrp0 (xN) W0) (szNzAzT0)) /\ (isCountable0 (sdtlpdtrp0 (xN) W0))) => ((aSubsetOf0 (sdtlpdtrp0 (xN) (szszuzczcdt0 W0)) (sdtmndt0 (sdtlpdtrp0 (xN) W0) (szmzizndt0 (sdtlpdtrp0 (xN) W0)))) /\ (isCountable0 (sdtlpdtrp0 (xN) (szszuzczcdt0 W0)))))))))) ### And 16 % 6.32/6.52 % SZS output end Proof % 6.32/6.52 (* END-PROOF *) %------------------------------------------------------------------------------