%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM551+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 14:43:32 EDT 2022 % Result : Theorem 89.99s 90.28s % Output : Proof 89.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM551+1 : 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 : n015.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 : Wed Jul 6 08:57:48 EDT 2022 % 0.13/0.34 % CPUTime : % 89.99/90.28 % SZS status Theorem % 89.99/90.28 (* PROOF-FOUND *) % 89.99/90.28 (* BEGIN-PROOF *) % 89.99/90.28 % SZS output start Proof % 89.99/90.28 1. (aSet0 (xQ)) (-. (aSet0 (xQ))) ### Axiom % 89.99/90.28 2. (aSet0 (xQ)) (-. (aSet0 (xQ))) ### Axiom % 89.99/90.28 3. (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (xQ))) ### Axiom % 89.99/90.28 4. (-. (aElement0 T_0)) (aElement0 T_0) ### Axiom % 89.99/90.28 5. ((aElementOf0 T_0 (xQ)) => (aElement0 T_0)) (-. (aElement0 T_0)) (aElementOf0 T_0 (xQ)) ### Imply 3 4 % 89.99/90.28 6. (All W1, ((aElementOf0 W1 (xQ)) => (aElement0 W1))) (aElementOf0 T_0 (xQ)) (-. (aElement0 T_0)) ### All 5 % 89.99/90.28 7. ((aSet0 (xQ)) => (All W1, ((aElementOf0 W1 (xQ)) => (aElement0 W1)))) (-. (aElement0 T_0)) (aElementOf0 T_0 (xQ)) (aSet0 (xQ)) ### Imply 2 6 % 89.99/90.28 8. (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (aSet0 (xQ)) (aElementOf0 T_0 (xQ)) (-. (aElement0 T_0)) ### All 7 % 89.99/90.28 9. (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (xQ))) ### Axiom % 89.99/90.28 10. (-. ((aElement0 T_0) /\ (aElementOf0 T_0 (xQ)))) (aElementOf0 T_0 (xQ)) (aSet0 (xQ)) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) ### NotAnd 8 9 % 89.99/90.28 11. (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (aSet0 (xQ)) (aElementOf0 T_0 (xQ)) ### NotExists 10 % 89.99/90.28 12. (Ex W1, (aElementOf0 W1 (xQ))) (aSet0 (xQ)) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) ### Exists 11 % 89.99/90.28 13. (-. (-. (Ex W1, (aElementOf0 W1 (xQ))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (aSet0 (xQ)) ### NotNot 12 % 89.99/90.28 14. (-. ((aSet0 (xQ)) /\ (-. (Ex W1, (aElementOf0 W1 (xQ)))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (aSet0 (xQ)) ### NotAnd 1 13 % 89.99/90.28 15. ((xQ) != (slcrc0)) ((xQ) = (slcrc0)) ### Axiom % 89.99/90.28 16. (((xQ) = (slcrc0)) <=> ((aSet0 (xQ)) /\ (-. (Ex W1, (aElementOf0 W1 (xQ)))))) ((xQ) != (slcrc0)) (aSet0 (xQ)) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) ### Equiv 14 15 % 89.99/90.28 17. (All W0, ((W0 = (slcrc0)) <=> ((aSet0 W0) /\ (-. (Ex W1, (aElementOf0 W1 W0)))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (aSet0 (xQ)) ((xQ) != (slcrc0)) ### All 16 % 89.99/90.28 18. ((aSet0 (xQ)) /\ ((isFinite0 (xQ)) /\ ((sbrdtbr0 (xQ)) = (xk)))) ((xQ) != (slcrc0)) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (All W0, ((W0 = (slcrc0)) <=> ((aSet0 W0) /\ (-. (Ex W1, (aElementOf0 W1 W0)))))) ### ConjTree 17 % 89.99/90.28 % SZS output end Proof % 89.99/90.28 (* END-PROOF *) %------------------------------------------------------------------------------