%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : RNG088+2 : 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 : n032.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 20:41:57 EDT 2022 % Result : Theorem 0.12s 0.34s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.08 % Problem : RNG088+2 : TPTP v8.1.0. Released v4.0.0. % 0.00/0.09 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.08/0.28 % Computer : n032.cluster.edu % 0.08/0.28 % Model : x86_64 x86_64 % 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.28 % Memory : 8042.1875MB % 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.28 % CPULimit : 300 % 0.08/0.28 % WCLimit : 600 % 0.08/0.28 % DateTime : Mon May 30 08:12:27 EDT 2022 % 0.08/0.28 % CPUTime : % 0.12/0.34 % SZS status Theorem % 0.12/0.34 (* PROOF-FOUND *) % 0.12/0.34 (* BEGIN-PROOF *) % 0.12/0.34 % SZS output start Proof % 0.12/0.34 1. (aElementOf0 (xk) (xI)) (-. (aElementOf0 (xk) (xI))) ### Axiom % 0.12/0.34 2. (aElementOf0 (xm) (xI)) (-. (aElementOf0 (xm) (xI))) ### Axiom % 0.12/0.34 3. (-. (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))) (aElementOf0 (sdtpldt0 (xk) (xm)) (xI)) ### Axiom % 0.12/0.34 4. ((aElementOf0 (xm) (xI)) => (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))) (-. (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))) (aElementOf0 (xm) (xI)) ### Imply 2 3 % 0.12/0.34 5. (All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 (xk) W1) (xI)))) (aElementOf0 (xm) (xI)) (-. (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))) ### All 4 % 0.12/0.34 6. ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 (xk) W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 (xk)) (xI))))) (-. (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))) (aElementOf0 (xm) (xI)) ### And 5 % 0.12/0.34 7. ((aElementOf0 (xk) (xI)) => ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 (xk) W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 (xk)) (xI)))))) (aElementOf0 (xm) (xI)) (-. (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))) (aElementOf0 (xk) (xI)) ### Imply 1 6 % 0.12/0.34 8. (All W0, ((aElementOf0 W0 (xI)) => ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 W0 W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xI))))))) (aElementOf0 (xk) (xI)) (-. (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))) (aElementOf0 (xm) (xI)) ### All 7 % 0.12/0.34 9. (aElementOf0 (xl) (xJ)) (-. (aElementOf0 (xl) (xJ))) ### Axiom % 0.12/0.34 10. (aElementOf0 (xn) (xJ)) (-. (aElementOf0 (xn) (xJ))) ### Axiom % 0.12/0.34 11. (-. (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))) (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ)) ### Axiom % 0.12/0.34 12. ((aElementOf0 (xn) (xJ)) => (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))) (-. (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))) (aElementOf0 (xn) (xJ)) ### Imply 10 11 % 0.12/0.34 13. (All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 (xl) W1) (xJ)))) (aElementOf0 (xn) (xJ)) (-. (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))) ### All 12 % 0.12/0.34 14. ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 (xl) W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 (xl)) (xJ))))) (-. (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))) (aElementOf0 (xn) (xJ)) ### And 13 % 0.12/0.34 15. ((aElementOf0 (xl) (xJ)) => ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 (xl) W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 (xl)) (xJ)))))) (aElementOf0 (xn) (xJ)) (-. (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))) (aElementOf0 (xl) (xJ)) ### Imply 9 14 % 0.12/0.34 16. (All W0, ((aElementOf0 W0 (xJ)) => ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 W0 W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xJ))))))) (aElementOf0 (xl) (xJ)) (-. (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))) (aElementOf0 (xn) (xJ)) ### All 15 % 0.12/0.34 17. (-. ((aElementOf0 (sdtpldt0 (xk) (xm)) (xI)) /\ (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ)))) (aElementOf0 (xn) (xJ)) (aElementOf0 (xl) (xJ)) (All W0, ((aElementOf0 W0 (xJ)) => ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 W0 W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xJ))))))) (aElementOf0 (xm) (xI)) (aElementOf0 (xk) (xI)) (All W0, ((aElementOf0 W0 (xI)) => ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 W0 W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xI))))))) ### NotAnd 8 16 % 0.12/0.34 18. ((aElementOf0 (xm) (xI)) /\ ((aElementOf0 (xn) (xJ)) /\ ((xy) = (sdtpldt0 (xm) (xn))))) (All W0, ((aElementOf0 W0 (xI)) => ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 W0 W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xI))))))) (aElementOf0 (xk) (xI)) (All W0, ((aElementOf0 W0 (xJ)) => ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 W0 W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xJ))))))) (aElementOf0 (xl) (xJ)) (-. ((aElementOf0 (sdtpldt0 (xk) (xm)) (xI)) /\ (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ)))) ### ConjTree 17 % 0.12/0.34 19. ((aElementOf0 (xk) (xI)) /\ ((aElementOf0 (xl) (xJ)) /\ ((xx) = (sdtpldt0 (xk) (xl))))) (-. ((aElementOf0 (sdtpldt0 (xk) (xm)) (xI)) /\ (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ)))) (All W0, ((aElementOf0 W0 (xJ)) => ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 W0 W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xJ))))))) (All W0, ((aElementOf0 W0 (xI)) => ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 W0 W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xI))))))) ((aElementOf0 (xm) (xI)) /\ ((aElementOf0 (xn) (xJ)) /\ ((xy) = (sdtpldt0 (xm) (xn))))) ### ConjTree 18 % 0.12/0.34 20. ((aSet0 (xI)) /\ ((All W0, ((aElementOf0 W0 (xI)) => ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 W0 W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xI))))))) /\ ((aIdeal0 (xI)) /\ ((aSet0 (xJ)) /\ ((All W0, ((aElementOf0 W0 (xJ)) => ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 W0 W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xJ))))))) /\ (aIdeal0 (xJ))))))) ((aElementOf0 (xm) (xI)) /\ ((aElementOf0 (xn) (xJ)) /\ ((xy) = (sdtpldt0 (xm) (xn))))) (-. ((aElementOf0 (sdtpldt0 (xk) (xm)) (xI)) /\ (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ)))) ((aElementOf0 (xk) (xI)) /\ ((aElementOf0 (xl) (xJ)) /\ ((xx) = (sdtpldt0 (xk) (xl))))) ### ConjTree 19 % 0.12/0.34 % SZS output end Proof % 0.12/0.34 (* END-PROOF *) %------------------------------------------------------------------------------