%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM551+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 : 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 14:43:32 EDT 2022 % Result : Theorem 95.24s 95.50s % Output : Proof 95.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM551+3 : TPTP v8.1.0. Released v4.0.0. % 0.06/0.12 % 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 : Tue Jul 5 16:19:17 EDT 2022 % 0.13/0.33 % CPUTime : % 95.24/95.50 % SZS status Theorem % 95.24/95.50 (* PROOF-FOUND *) % 95.24/95.50 (* BEGIN-PROOF *) % 95.24/95.50 % SZS output start Proof % 95.24/95.50 1. (aSet0 (xS)) (-. (aSet0 (xS))) ### Axiom % 95.24/95.50 2. (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (xQ))) ### Axiom % 95.24/95.50 3. (-. (aElementOf0 T_0 (xS))) (aElementOf0 T_0 (xS)) ### Axiom % 95.24/95.50 4. ((aElementOf0 T_0 (xQ)) => (aElementOf0 T_0 (xS))) (-. (aElementOf0 T_0 (xS))) (aElementOf0 T_0 (xQ)) ### Imply 2 3 % 95.24/95.50 5. (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (xS))) ### All 4 % 95.24/95.50 6. (-. (aElement0 T_0)) (aElement0 T_0) ### Axiom % 95.24/95.50 7. ((aElementOf0 T_0 (xS)) => (aElement0 T_0)) (-. (aElement0 T_0)) (aElementOf0 T_0 (xQ)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) ### Imply 5 6 % 95.24/95.50 8. (All W1, ((aElementOf0 W1 (xS)) => (aElement0 W1))) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (aElementOf0 T_0 (xQ)) (-. (aElement0 T_0)) ### All 7 % 95.24/95.50 9. ((aSet0 (xS)) => (All W1, ((aElementOf0 W1 (xS)) => (aElement0 W1)))) (-. (aElement0 T_0)) (aElementOf0 T_0 (xQ)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (aSet0 (xS)) ### Imply 1 8 % 95.24/95.50 10. (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (aSet0 (xS)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (aElementOf0 T_0 (xQ)) (-. (aElement0 T_0)) ### All 9 % 95.24/95.50 11. (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (xQ))) ### Axiom % 95.24/95.50 12. (-. ((aElement0 T_0) /\ (aElementOf0 T_0 (xQ)))) (aElementOf0 T_0 (xQ)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (aSet0 (xS)) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) ### NotAnd 10 11 % 95.24/95.50 13. (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (aSet0 (xS)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (aElementOf0 T_0 (xQ)) ### NotExists 12 % 95.24/95.50 14. ((aSet0 (xS)) /\ ((aSet0 (xT)) /\ ((xk) != (sz00)))) (aElementOf0 T_0 (xQ)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) ### ConjTree 13 % 95.24/95.50 15. ((aSet0 (xQ)) /\ ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) /\ ((aSubsetOf0 (xQ) (xS)) /\ (((sbrdtbr0 (xQ)) = (xk)) /\ (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (aElementOf0 T_0 (xQ)) ((aSet0 (xS)) /\ ((aSet0 (xT)) /\ ((xk) != (sz00)))) ### ConjTree 14 % 95.24/95.50 16. (Ex W0, (aElementOf0 W0 (xQ))) ((aSet0 (xS)) /\ ((aSet0 (xT)) /\ ((xk) != (sz00)))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) ((aSet0 (xQ)) /\ ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) /\ ((aSubsetOf0 (xQ) (xS)) /\ (((sbrdtbr0 (xQ)) = (xk)) /\ (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))))))) ### Exists 15 % 95.24/95.50 17. (-. (-. (Ex W0, (aElementOf0 W0 (xQ))))) ((aSet0 (xQ)) /\ ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) /\ ((aSubsetOf0 (xQ) (xS)) /\ (((sbrdtbr0 (xQ)) = (xk)) /\ (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) ((aSet0 (xS)) /\ ((aSet0 (xT)) /\ ((xk) != (sz00)))) ### NotNot 16 % 95.24/95.50 18. (-. ((-. (Ex W0, (aElementOf0 W0 (xQ)))) \/ ((xQ) = (slcrc0)))) ((aSet0 (xS)) /\ ((aSet0 (xT)) /\ ((xk) != (sz00)))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) ((aSet0 (xQ)) /\ ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) /\ ((aSubsetOf0 (xQ) (xS)) /\ (((sbrdtbr0 (xQ)) = (xk)) /\ (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))))))) ### NotOr 17 % 95.24/95.50 % SZS output end Proof % 95.24/95.50 (* END-PROOF *) %------------------------------------------------------------------------------