TSTP Solution File: NUM482+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : NUM482+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 : n020.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 0.85s 1.07s
% Output : Proof 0.85s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : NUM482+1 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.15 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Thu Jul 7 05:48:59 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.85/1.07 % SZS status Theorem
% 0.85/1.07 (* PROOF-FOUND *)
% 0.85/1.07 (* BEGIN-PROOF *)
% 0.85/1.07 % SZS output start Proof
% 0.85/1.07 1. (aNaturalNumber0 (xk)) (-. (aNaturalNumber0 (xk))) ### Axiom
% 0.85/1.07 2. (aNaturalNumber0 (xk)) (-. (aNaturalNumber0 (xk))) ### Axiom
% 0.85/1.07 3. (aNaturalNumber0 (xk)) (-. (aNaturalNumber0 (xk))) ### Axiom
% 0.85/1.07 4. (aNaturalNumber0 (xk)) (-. (aNaturalNumber0 (xk))) ### Axiom
% 0.85/1.07 5. (aNaturalNumber0 (sz10)) (-. (aNaturalNumber0 (sz10))) ### Axiom
% 0.85/1.07 6. ((sdtasdt0 (xk) (sz10)) = (xk)) ((xk) != (sdtasdt0 (xk) (sz10))) ### Sym(=)
% 0.85/1.07 7. (-. ((aNaturalNumber0 (sz10)) /\ ((xk) = (sdtasdt0 (xk) (sz10))))) ((sdtasdt0 (xk) (sz10)) = (xk)) (aNaturalNumber0 (sz10)) ### NotAnd 5 6
% 0.85/1.07 8. (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((xk) = (sdtasdt0 (xk) W2))))) (aNaturalNumber0 (sz10)) ((sdtasdt0 (xk) (sz10)) = (xk)) ### NotExists 7
% 0.85/1.07 9. (((sdtasdt0 (xk) (sz10)) = (xk)) /\ ((xk) = (sdtasdt0 (sz10) (xk)))) (aNaturalNumber0 (sz10)) (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((xk) = (sdtasdt0 (xk) W2))))) ### And 8
% 0.85/1.07 10. ((aNaturalNumber0 (xk)) => (((sdtasdt0 (xk) (sz10)) = (xk)) /\ ((xk) = (sdtasdt0 (sz10) (xk))))) (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((xk) = (sdtasdt0 (xk) W2))))) (aNaturalNumber0 (sz10)) (aNaturalNumber0 (xk)) ### Imply 4 9
% 0.85/1.07 11. (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) (aNaturalNumber0 (xk)) (aNaturalNumber0 (sz10)) (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((xk) = (sdtasdt0 (xk) W2))))) ### All 10
% 0.85/1.07 12. (-. (doDivides0 (xk) (xk))) (doDivides0 (xk) (xk)) ### Axiom
% 0.85/1.07 13. ((doDivides0 (xk) (xk)) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((xk) = (sdtasdt0 (xk) W2))))) (-. (doDivides0 (xk) (xk))) (aNaturalNumber0 (sz10)) (aNaturalNumber0 (xk)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) ### Equiv 11 12
% 0.85/1.07 14. (((aNaturalNumber0 (xk)) /\ (aNaturalNumber0 (xk))) => ((doDivides0 (xk) (xk)) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((xk) = (sdtasdt0 (xk) W2)))))) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) (aNaturalNumber0 (sz10)) (-. (doDivides0 (xk) (xk))) (aNaturalNumber0 (xk)) ### DisjTree 2 3 13
% 0.85/1.07 15. (All W1, (((aNaturalNumber0 (xk)) /\ (aNaturalNumber0 W1)) => ((doDivides0 (xk) W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ (W1 = (sdtasdt0 (xk) W2))))))) (aNaturalNumber0 (xk)) (-. (doDivides0 (xk) (xk))) (aNaturalNumber0 (sz10)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) ### All 14
% 0.85/1.07 16. (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((doDivides0 W0 W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ (W1 = (sdtasdt0 W0 W2)))))))) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) (aNaturalNumber0 (sz10)) (-. (doDivides0 (xk) (xk))) (aNaturalNumber0 (xk)) ### All 15
% 0.85/1.07 17. (isPrime0 (xk)) (-. (isPrime0 (xk))) ### Axiom
% 0.85/1.07 18. (-. ((aNaturalNumber0 (xk)) /\ ((doDivides0 (xk) (xk)) /\ (isPrime0 (xk))))) (isPrime0 (xk)) (aNaturalNumber0 (sz10)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((doDivides0 W0 W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ (W1 = (sdtasdt0 W0 W2)))))))) (aNaturalNumber0 (xk)) ### DisjTree 1 16 17
% 0.85/1.07 19. (-. (Ex W0, ((aNaturalNumber0 W0) /\ ((doDivides0 W0 (xk)) /\ (isPrime0 W0))))) (aNaturalNumber0 (xk)) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((doDivides0 W0 W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ (W1 = (sdtasdt0 W0 W2)))))))) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) (aNaturalNumber0 (sz10)) (isPrime0 (xk)) ### NotExists 18
% 0.85/1.07 20. (-. ((isPrime0 (xk)) => (Ex W0, ((aNaturalNumber0 W0) /\ ((doDivides0 W0 (xk)) /\ (isPrime0 W0)))))) (aNaturalNumber0 (sz10)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((doDivides0 W0 W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ (W1 = (sdtasdt0 W0 W2)))))))) (aNaturalNumber0 (xk)) ### NotImply 19
% 0.85/1.07 21. ((aNaturalNumber0 (sz10)) /\ ((sz10) != (sz00))) (aNaturalNumber0 (xk)) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((doDivides0 W0 W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ (W1 = (sdtasdt0 W0 W2)))))))) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz10)) = W0) /\ (W0 = (sdtasdt0 (sz10) W0))))) (-. ((isPrime0 (xk)) => (Ex W0, ((aNaturalNumber0 W0) /\ ((doDivides0 W0 (xk)) /\ (isPrime0 W0)))))) ### And 20
% 0.85/1.07 % SZS output end Proof
% 0.85/1.07 (* END-PROOF *)
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