%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM630+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 14:44:18 EDT 2022 % Result : Theorem 0.76s 0.94s % Output : Proof 0.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM630+1 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n015.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Wed Jul 6 10:18:18 EDT 2022 % 0.13/0.33 % CPUTime : % 0.76/0.94 % SZS status Theorem % 0.76/0.94 (* PROOF-FOUND *) % 0.76/0.94 (* BEGIN-PROOF *) % 0.76/0.94 % SZS output start Proof % 0.76/0.94 1. (aElementOf0 (xn) (szNzAzT0)) (-. (aElementOf0 (xn) (szNzAzT0))) ### Axiom % 0.76/0.94 2. (aSet0 (xP)) (-. (aSet0 (xP))) ### Axiom % 0.76/0.94 3. ((xP) != (xP)) ### NotEqual % 0.76/0.94 4. ((xD) = (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) ((xD) != (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) ### Axiom % 0.76/0.94 5. ((xk) != (xk)) ### NotEqual % 0.76/0.94 6. ((slbdtsldtrb0 (xD) (xk)) != (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))) (xk))) ((xD) = (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) ### NotEqual 4 5 % 0.76/0.94 7. (-. (aElementOf0 (xP) (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))) (xk)))) (aElementOf0 (xP) (slbdtsldtrb0 (xD) (xk))) ((xD) = (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) ### P-NotP 3 6 % 0.76/0.94 8. ((sdtlpdtrp0 (xc) (sdtpldt0 (xP) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) != (sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) (xP))) ((sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) (xP)) = (sdtlpdtrp0 (xc) (sdtpldt0 (xP) (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))))) ### Sym(=) % 0.76/0.94 9. (((aSet0 (xP)) /\ (aElementOf0 (xP) (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))) (xk)))) => ((sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) (xP)) = (sdtlpdtrp0 (xc) (sdtpldt0 (xP) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))))) ((sdtlpdtrp0 (xc) (sdtpldt0 (xP) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) != (sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) (xP))) ((xD) = (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) (aElementOf0 (xP) (slbdtsldtrb0 (xD) (xk))) (aSet0 (xP)) ### DisjTree 2 7 8 % 0.76/0.94 10. (All W1, (((aSet0 W1) /\ (aElementOf0 W1 (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))) (xk)))) => ((sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) W1) = (sdtlpdtrp0 (xc) (sdtpldt0 W1 (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))))))) (aSet0 (xP)) (aElementOf0 (xP) (slbdtsldtrb0 (xD) (xk))) ((xD) = (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) ((sdtlpdtrp0 (xc) (sdtpldt0 (xP) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) != (sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) (xP))) ### All 9 % 0.76/0.94 11. ((aFunction0 (sdtlpdtrp0 (xC) (xn))) /\ (((szDzozmdt0 (sdtlpdtrp0 (xC) (xn))) = (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))) (xk))) /\ (All W1, (((aSet0 W1) /\ (aElementOf0 W1 (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))) (xk)))) => ((sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) W1) = (sdtlpdtrp0 (xc) (sdtpldt0 W1 (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))))))))) ((sdtlpdtrp0 (xc) (sdtpldt0 (xP) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) != (sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) (xP))) ((xD) = (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) (aElementOf0 (xP) (slbdtsldtrb0 (xD) (xk))) (aSet0 (xP)) ### ConjTree 10 % 0.76/0.94 12. ((aElementOf0 (xn) (szNzAzT0)) => ((aFunction0 (sdtlpdtrp0 (xC) (xn))) /\ (((szDzozmdt0 (sdtlpdtrp0 (xC) (xn))) = (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))) (xk))) /\ (All W1, (((aSet0 W1) /\ (aElementOf0 W1 (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))) (xk)))) => ((sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) W1) = (sdtlpdtrp0 (xc) (sdtpldt0 W1 (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))))))))) (aSet0 (xP)) (aElementOf0 (xP) (slbdtsldtrb0 (xD) (xk))) ((xD) = (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) ((sdtlpdtrp0 (xc) (sdtpldt0 (xP) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) != (sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) (xP))) (aElementOf0 (xn) (szNzAzT0)) ### Imply 1 11 % 0.76/0.94 13. (All W0, ((aElementOf0 W0 (szNzAzT0)) => ((aFunction0 (sdtlpdtrp0 (xC) W0)) /\ (((szDzozmdt0 (sdtlpdtrp0 (xC) W0)) = (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) W0) (szmzizndt0 (sdtlpdtrp0 (xN) W0))) (xk))) /\ (All W1, (((aSet0 W1) /\ (aElementOf0 W1 (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) W0) (szmzizndt0 (sdtlpdtrp0 (xN) W0))) (xk)))) => ((sdtlpdtrp0 (sdtlpdtrp0 (xC) W0) W1) = (sdtlpdtrp0 (xc) (sdtpldt0 W1 (szmzizndt0 (sdtlpdtrp0 (xN) W0))))))))))) (aElementOf0 (xn) (szNzAzT0)) ((sdtlpdtrp0 (xc) (sdtpldt0 (xP) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) != (sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) (xP))) ((xD) = (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) (aElementOf0 (xP) (slbdtsldtrb0 (xD) (xk))) (aSet0 (xP)) ### All 12 % 0.76/0.94 14. ((aElementOf0 (xn) (sdtlbdtrb0 (xd) (szDzizrdt0 (xd)))) /\ ((aElementOf0 (xn) (szNzAzT0)) /\ ((sdtlpdtrp0 (xe) (xn)) = (xp)))) (aSet0 (xP)) (aElementOf0 (xP) (slbdtsldtrb0 (xD) (xk))) ((xD) = (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) ((sdtlpdtrp0 (xc) (sdtpldt0 (xP) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) != (sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) (xP))) (All W0, ((aElementOf0 W0 (szNzAzT0)) => ((aFunction0 (sdtlpdtrp0 (xC) W0)) /\ (((szDzozmdt0 (sdtlpdtrp0 (xC) W0)) = (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) W0) (szmzizndt0 (sdtlpdtrp0 (xN) W0))) (xk))) /\ (All W1, (((aSet0 W1) /\ (aElementOf0 W1 (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) W0) (szmzizndt0 (sdtlpdtrp0 (xN) W0))) (xk)))) => ((sdtlpdtrp0 (sdtlpdtrp0 (xC) W0) W1) = (sdtlpdtrp0 (xc) (sdtpldt0 W1 (szmzizndt0 (sdtlpdtrp0 (xN) W0))))))))))) ### ConjTree 13 % 0.76/0.94 15. ((aSet0 (xP)) /\ ((xP) = (sdtmndt0 (xQ) (szmzizndt0 (xQ))))) (All W0, ((aElementOf0 W0 (szNzAzT0)) => ((aFunction0 (sdtlpdtrp0 (xC) W0)) /\ (((szDzozmdt0 (sdtlpdtrp0 (xC) W0)) = (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) W0) (szmzizndt0 (sdtlpdtrp0 (xN) W0))) (xk))) /\ (All W1, (((aSet0 W1) /\ (aElementOf0 W1 (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) W0) (szmzizndt0 (sdtlpdtrp0 (xN) W0))) (xk)))) => ((sdtlpdtrp0 (sdtlpdtrp0 (xC) W0) W1) = (sdtlpdtrp0 (xc) (sdtpldt0 W1 (szmzizndt0 (sdtlpdtrp0 (xN) W0))))))))))) ((sdtlpdtrp0 (xc) (sdtpldt0 (xP) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) != (sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) (xP))) ((xD) = (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) (aElementOf0 (xP) (slbdtsldtrb0 (xD) (xk))) ((aElementOf0 (xn) (sdtlbdtrb0 (xd) (szDzizrdt0 (xd)))) /\ ((aElementOf0 (xn) (szNzAzT0)) /\ ((sdtlpdtrp0 (xe) (xn)) = (xp)))) ### And 14 % 0.76/0.94 16. ((aFunction0 (xC)) /\ (((szDzozmdt0 (xC)) = (szNzAzT0)) /\ (All W0, ((aElementOf0 W0 (szNzAzT0)) => ((aFunction0 (sdtlpdtrp0 (xC) W0)) /\ (((szDzozmdt0 (sdtlpdtrp0 (xC) W0)) = (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) W0) (szmzizndt0 (sdtlpdtrp0 (xN) W0))) (xk))) /\ (All W1, (((aSet0 W1) /\ (aElementOf0 W1 (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) W0) (szmzizndt0 (sdtlpdtrp0 (xN) W0))) (xk)))) => ((sdtlpdtrp0 (sdtlpdtrp0 (xC) W0) W1) = (sdtlpdtrp0 (xc) (sdtpldt0 W1 (szmzizndt0 (sdtlpdtrp0 (xN) W0))))))))))))) ((aElementOf0 (xn) (sdtlbdtrb0 (xd) (szDzizrdt0 (xd)))) /\ ((aElementOf0 (xn) (szNzAzT0)) /\ ((sdtlpdtrp0 (xe) (xn)) = (xp)))) (aElementOf0 (xP) (slbdtsldtrb0 (xD) (xk))) ((xD) = (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) ((sdtlpdtrp0 (xc) (sdtpldt0 (xP) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) != (sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) (xP))) ((aSet0 (xP)) /\ ((xP) = (sdtmndt0 (xQ) (szmzizndt0 (xQ))))) ### ConjTree 15 % 0.76/0.94 % SZS output end Proof % 0.76/0.94 (* END-PROOF *) %------------------------------------------------------------------------------