%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM482+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 : n004.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 14:42:52 EDT 2022 % Result : Theorem 0.74s 0.92s % Output : Proof 0.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUM482+3 : TPTP v8.1.0. Released v4.0.0. % 0.12/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n004.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jul 5 04:41:22 EDT 2022 % 0.12/0.33 % CPUTime : % 0.74/0.92 % SZS status Theorem % 0.74/0.92 (* PROOF-FOUND *) % 0.74/0.92 (* BEGIN-PROOF *) % 0.74/0.92 % SZS output start Proof % 0.74/0.92 1. (aNaturalNumber0 (xk)) (-. (aNaturalNumber0 (xk))) ### Axiom % 0.74/0.92 2. (aNaturalNumber0 (xk)) (-. (aNaturalNumber0 (xk))) ### Axiom % 0.74/0.92 3. (aNaturalNumber0 (sz10)) (-. (aNaturalNumber0 (sz10))) ### Axiom % 0.74/0.92 4. ((sdtasdt0 (xk) (sz10)) = (xk)) ((xk) != (sdtasdt0 (xk) (sz10))) ### Sym(=) % 0.74/0.92 5. (-. ((aNaturalNumber0 (sz10)) /\ ((xk) = (sdtasdt0 (xk) (sz10))))) ((sdtasdt0 (xk) (sz10)) = (xk)) (aNaturalNumber0 (sz10)) ### NotAnd 3 4 % 0.74/0.92 6. (-. (Ex W1, ((aNaturalNumber0 W1) /\ ((xk) = (sdtasdt0 (xk) W1))))) (aNaturalNumber0 (sz10)) ((sdtasdt0 (xk) (sz10)) = (xk)) ### NotExists 5 % 0.74/0.92 7. (((sdtasdt0 (xk) (sz10)) = (xk)) /\ ((xk) = (sdtasdt0 (sz10) (xk)))) (aNaturalNumber0 (sz10)) (-. (Ex W1, ((aNaturalNumber0 W1) /\ ((xk) = (sdtasdt0 (xk) W1))))) ### And 6 % 0.74/0.92 8. ((aNaturalNumber0 (xk)) => (((sdtasdt0 (xk) (sz10)) = (xk)) /\ ((xk) = (sdtasdt0 (sz10) (xk))))) (-. (Ex W1, ((aNaturalNumber0 W1) /\ ((xk) = (sdtasdt0 (xk) W1))))) (aNaturalNumber0 (sz10)) (aNaturalNumber0 (xk)) ### Imply 2 7 % 0.74/0.92 9. (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) (aNaturalNumber0 (xk)) (aNaturalNumber0 (sz10)) (-. (Ex W1, ((aNaturalNumber0 W1) /\ ((xk) = (sdtasdt0 (xk) W1))))) ### All 8 % 0.74/0.92 10. (-. ((Ex W1, ((aNaturalNumber0 W1) /\ ((xk) = (sdtasdt0 (xk) W1)))) \/ (doDivides0 (xk) (xk)))) (aNaturalNumber0 (sz10)) (aNaturalNumber0 (xk)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) ### NotOr 9 % 0.74/0.92 11. (isPrime0 (xk)) (-. (isPrime0 (xk))) ### Axiom % 0.74/0.92 12. (-. ((((xk) != (sz00)) /\ (((xk) != (sz10)) /\ (All W1, (((aNaturalNumber0 W1) /\ ((Ex W2, ((aNaturalNumber0 W2) /\ ((xk) = (sdtasdt0 W1 W2)))) /\ (doDivides0 W1 (xk)))) => ((W1 = (sz10)) \/ (W1 = (xk))))))) \/ (isPrime0 (xk)))) (isPrime0 (xk)) ### NotOr 11 % 0.74/0.92 13. (-. ((aNaturalNumber0 (xk)) /\ (((Ex W1, ((aNaturalNumber0 W1) /\ ((xk) = (sdtasdt0 (xk) W1)))) \/ (doDivides0 (xk) (xk))) /\ ((((xk) != (sz00)) /\ (((xk) != (sz10)) /\ (All W1, (((aNaturalNumber0 W1) /\ ((Ex W2, ((aNaturalNumber0 W2) /\ ((xk) = (sdtasdt0 W1 W2)))) /\ (doDivides0 W1 (xk)))) => ((W1 = (sz10)) \/ (W1 = (xk))))))) \/ (isPrime0 (xk)))))) (isPrime0 (xk)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) (aNaturalNumber0 (sz10)) (aNaturalNumber0 (xk)) ### DisjTree 1 10 12 % 0.74/0.92 14. (-. (Ex W0, ((aNaturalNumber0 W0) /\ (((Ex W1, ((aNaturalNumber0 W1) /\ ((xk) = (sdtasdt0 W0 W1)))) \/ (doDivides0 W0 (xk))) /\ (((W0 != (sz00)) /\ ((W0 != (sz10)) /\ (All W1, (((aNaturalNumber0 W1) /\ ((Ex W2, ((aNaturalNumber0 W2) /\ (W0 = (sdtasdt0 W1 W2)))) /\ (doDivides0 W1 W0))) => ((W1 = (sz10)) \/ (W1 = W0)))))) \/ (isPrime0 W0)))))) (aNaturalNumber0 (xk)) (aNaturalNumber0 (sz10)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) (isPrime0 (xk)) ### NotExists 13 % 0.74/0.92 15. (-. (((All W0, (((aNaturalNumber0 W0) /\ ((Ex W1, ((aNaturalNumber0 W1) /\ ((xk) = (sdtasdt0 W0 W1)))) \/ (doDivides0 W0 (xk)))) => ((W0 = (sz10)) \/ (W0 = (xk))))) /\ (isPrime0 (xk))) => (Ex W0, ((aNaturalNumber0 W0) /\ (((Ex W1, ((aNaturalNumber0 W1) /\ ((xk) = (sdtasdt0 W0 W1)))) \/ (doDivides0 W0 (xk))) /\ (((W0 != (sz00)) /\ ((W0 != (sz10)) /\ (All W1, (((aNaturalNumber0 W1) /\ ((Ex W2, ((aNaturalNumber0 W2) /\ (W0 = (sdtasdt0 W1 W2)))) /\ (doDivides0 W1 W0))) => ((W1 = (sz10)) \/ (W1 = W0)))))) \/ (isPrime0 W0))))))) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) (aNaturalNumber0 (sz10)) (aNaturalNumber0 (xk)) ### ConjTree 14 % 0.74/0.92 16. ((aNaturalNumber0 (sz10)) /\ ((sz10) != (sz00))) (aNaturalNumber0 (xk)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) (-. (((All W0, (((aNaturalNumber0 W0) /\ ((Ex W1, ((aNaturalNumber0 W1) /\ ((xk) = (sdtasdt0 W0 W1)))) \/ (doDivides0 W0 (xk)))) => ((W0 = (sz10)) \/ (W0 = (xk))))) /\ (isPrime0 (xk))) => (Ex W0, ((aNaturalNumber0 W0) /\ (((Ex W1, ((aNaturalNumber0 W1) /\ ((xk) = (sdtasdt0 W0 W1)))) \/ (doDivides0 W0 (xk))) /\ (((W0 != (sz00)) /\ ((W0 != (sz10)) /\ (All W1, (((aNaturalNumber0 W1) /\ ((Ex W2, ((aNaturalNumber0 W2) /\ (W0 = (sdtasdt0 W1 W2)))) /\ (doDivides0 W1 W0))) => ((W1 = (sz10)) \/ (W1 = W0)))))) \/ (isPrime0 W0))))))) ### And 15 % 0.74/0.92 % SZS output end Proof % 0.74/0.92 (* END-PROOF *) %------------------------------------------------------------------------------