%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : RNG089+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 : n024.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 20:41:58 EDT 2022 % Result : Theorem 49.05s 49.26s % Output : Proof 49.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : RNG089+1 : TPTP v8.1.0. Released v4.0.0. % 0.04/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n024.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 : Mon May 30 18:08:21 EDT 2022 % 0.13/0.34 % CPUTime : % 49.05/49.26 % SZS status Theorem % 49.05/49.26 (* PROOF-FOUND *) % 49.05/49.26 (* BEGIN-PROOF *) % 49.05/49.26 % SZS output start Proof % 49.05/49.26 1. (aElementOf0 (xk) (xI)) (-. (aElementOf0 (xk) (xI))) ### Axiom % 49.05/49.26 2. (aElement0 (xz)) (-. (aElement0 (xz))) ### Axiom % 49.05/49.26 3. (-. (aElementOf0 (sdtasdt0 (xz) (xk)) (xI))) (aElementOf0 (sdtasdt0 (xz) (xk)) (xI)) ### Axiom % 49.05/49.26 4. ((aElement0 (xz)) => (aElementOf0 (sdtasdt0 (xz) (xk)) (xI))) (-. (aElementOf0 (sdtasdt0 (xz) (xk)) (xI))) (aElement0 (xz)) ### Imply 2 3 % 49.05/49.26 5. (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 (xk)) (xI)))) (aElement0 (xz)) (-. (aElementOf0 (sdtasdt0 (xz) (xk)) (xI))) ### All 4 % 49.05/49.26 6. ((All W2, ((aElementOf0 W2 (xI)) => (aElementOf0 (sdtpldt0 (xk) W2) (xI)))) /\ (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 (xk)) (xI))))) (-. (aElementOf0 (sdtasdt0 (xz) (xk)) (xI))) (aElement0 (xz)) ### And 5 % 49.05/49.26 7. ((aElementOf0 (xk) (xI)) => ((All W2, ((aElementOf0 W2 (xI)) => (aElementOf0 (sdtpldt0 (xk) W2) (xI)))) /\ (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 (xk)) (xI)))))) (aElement0 (xz)) (-. (aElementOf0 (sdtasdt0 (xz) (xk)) (xI))) (aElementOf0 (xk) (xI)) ### Imply 1 6 % 49.05/49.26 8. (All W1, ((aElementOf0 W1 (xI)) => ((All W2, ((aElementOf0 W2 (xI)) => (aElementOf0 (sdtpldt0 W1 W2) (xI)))) /\ (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 W1) (xI))))))) (aElementOf0 (xk) (xI)) (-. (aElementOf0 (sdtasdt0 (xz) (xk)) (xI))) (aElement0 (xz)) ### All 7 % 49.05/49.26 9. (aElementOf0 (xl) (xJ)) (-. (aElementOf0 (xl) (xJ))) ### Axiom % 49.05/49.26 10. (aElement0 (xz)) (-. (aElement0 (xz))) ### Axiom % 49.05/49.26 11. (-. (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ))) (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ)) ### Axiom % 49.05/49.26 12. ((aElement0 (xz)) => (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ))) (-. (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ))) (aElement0 (xz)) ### Imply 10 11 % 49.05/49.26 13. (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 (xl)) (xJ)))) (aElement0 (xz)) (-. (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ))) ### All 12 % 49.05/49.26 14. ((All W2, ((aElementOf0 W2 (xJ)) => (aElementOf0 (sdtpldt0 (xl) W2) (xJ)))) /\ (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 (xl)) (xJ))))) (-. (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ))) (aElement0 (xz)) ### And 13 % 49.05/49.26 15. ((aElementOf0 (xl) (xJ)) => ((All W2, ((aElementOf0 W2 (xJ)) => (aElementOf0 (sdtpldt0 (xl) W2) (xJ)))) /\ (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 (xl)) (xJ)))))) (aElement0 (xz)) (-. (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ))) (aElementOf0 (xl) (xJ)) ### Imply 9 14 % 49.05/49.26 16. (All W1, ((aElementOf0 W1 (xJ)) => ((All W2, ((aElementOf0 W2 (xJ)) => (aElementOf0 (sdtpldt0 W1 W2) (xJ)))) /\ (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 W1) (xJ))))))) (aElementOf0 (xl) (xJ)) (-. (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ))) (aElement0 (xz)) ### All 15 % 49.05/49.26 17. (-. ((aElementOf0 (sdtasdt0 (xz) (xk)) (xI)) /\ (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ)))) (aElementOf0 (xl) (xJ)) (All W1, ((aElementOf0 W1 (xJ)) => ((All W2, ((aElementOf0 W2 (xJ)) => (aElementOf0 (sdtpldt0 W1 W2) (xJ)))) /\ (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 W1) (xJ))))))) (aElement0 (xz)) (aElementOf0 (xk) (xI)) (All W1, ((aElementOf0 W1 (xI)) => ((All W2, ((aElementOf0 W2 (xI)) => (aElementOf0 (sdtpldt0 W1 W2) (xI)))) /\ (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 W1) (xI))))))) ### NotAnd 8 16 % 49.05/49.26 18. ((aSet0 (xJ)) /\ (All W1, ((aElementOf0 W1 (xJ)) => ((All W2, ((aElementOf0 W2 (xJ)) => (aElementOf0 (sdtpldt0 W1 W2) (xJ)))) /\ (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 W1) (xJ)))))))) (All W1, ((aElementOf0 W1 (xI)) => ((All W2, ((aElementOf0 W2 (xI)) => (aElementOf0 (sdtpldt0 W1 W2) (xI)))) /\ (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 W1) (xI))))))) (aElementOf0 (xk) (xI)) (aElement0 (xz)) (aElementOf0 (xl) (xJ)) (-. ((aElementOf0 (sdtasdt0 (xz) (xk)) (xI)) /\ (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ)))) ### And 17 % 49.05/49.26 19. (aIdeal0 (xJ)) (-. ((aElementOf0 (sdtasdt0 (xz) (xk)) (xI)) /\ (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ)))) (aElementOf0 (xl) (xJ)) (aElement0 (xz)) (aElementOf0 (xk) (xI)) (All W1, ((aElementOf0 W1 (xI)) => ((All W2, ((aElementOf0 W2 (xI)) => (aElementOf0 (sdtpldt0 W1 W2) (xI)))) /\ (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 W1) (xI))))))) ### Definition-Pseudo(aIdeal0) 18 % 49.05/49.26 20. ((aSet0 (xI)) /\ (All W1, ((aElementOf0 W1 (xI)) => ((All W2, ((aElementOf0 W2 (xI)) => (aElementOf0 (sdtpldt0 W1 W2) (xI)))) /\ (All W2, ((aElement0 W2) => (aElementOf0 (sdtasdt0 W2 W1) (xI)))))))) (aElementOf0 (xk) (xI)) (aElement0 (xz)) (aElementOf0 (xl) (xJ)) (-. ((aElementOf0 (sdtasdt0 (xz) (xk)) (xI)) /\ (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ)))) (aIdeal0 (xJ)) ### And 19 % 49.05/49.26 21. (aIdeal0 (xI)) (aIdeal0 (xJ)) (-. ((aElementOf0 (sdtasdt0 (xz) (xk)) (xI)) /\ (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ)))) (aElementOf0 (xl) (xJ)) (aElement0 (xz)) (aElementOf0 (xk) (xI)) ### Definition-Pseudo(aIdeal0) 20 % 49.05/49.26 22. ((aIdeal0 (xI)) /\ (aIdeal0 (xJ))) (aElementOf0 (xk) (xI)) (aElement0 (xz)) (aElementOf0 (xl) (xJ)) (-. ((aElementOf0 (sdtasdt0 (xz) (xk)) (xI)) /\ (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ)))) ### And 21 % 49.05/49.26 23. ((aElementOf0 (xx) (sdtpldt1 (xI) (xJ))) /\ ((aElementOf0 (xy) (sdtpldt1 (xI) (xJ))) /\ (aElement0 (xz)))) (-. ((aElementOf0 (sdtasdt0 (xz) (xk)) (xI)) /\ (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ)))) (aElementOf0 (xl) (xJ)) (aElementOf0 (xk) (xI)) ((aIdeal0 (xI)) /\ (aIdeal0 (xJ))) ### ConjTree 22 % 49.05/49.26 24. ((aElementOf0 (xk) (xI)) /\ ((aElementOf0 (xl) (xJ)) /\ ((xx) = (sdtpldt0 (xk) (xl))))) ((aIdeal0 (xI)) /\ (aIdeal0 (xJ))) (-. ((aElementOf0 (sdtasdt0 (xz) (xk)) (xI)) /\ (aElementOf0 (sdtasdt0 (xz) (xl)) (xJ)))) ((aElementOf0 (xx) (sdtpldt1 (xI) (xJ))) /\ ((aElementOf0 (xy) (sdtpldt1 (xI) (xJ))) /\ (aElement0 (xz)))) ### ConjTree 23 % 49.05/49.26 % SZS output end Proof % 49.05/49.26 (* END-PROOF *) %------------------------------------------------------------------------------