%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM505+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 : n021.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 14:43:05 EDT 2022 % Result : Theorem 245.76s 246.01s % Output : Proof 245.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : NUM505+3 : TPTP v8.1.0. Released v4.0.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n021.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 : Thu Jul 7 13:46:04 EDT 2022 % 0.12/0.33 % CPUTime : % 245.76/246.01 % SZS status Theorem % 245.76/246.01 (* PROOF-FOUND *) % 245.76/246.01 (* BEGIN-PROOF *) % 245.76/246.01 % SZS output start Proof % 245.76/246.01 1. (aNaturalNumber0 (xp)) (-. (aNaturalNumber0 (xp))) ### Axiom % 245.76/246.01 2. (aNaturalNumber0 (xk)) (-. (aNaturalNumber0 (xk))) ### Axiom % 245.76/246.01 3. (-. (sdtlseqdt0 (xp) (xk))) (sdtlseqdt0 (xp) (xk)) ### Axiom % 245.76/246.01 4. ((xk) = (xp)) ((xk) != (xp)) ### Axiom % 245.76/246.01 5. (((xk) != (xp)) /\ (sdtlseqdt0 (xk) (xp))) ((xk) = (xp)) ### And 4 % 245.76/246.01 6. (((aNaturalNumber0 (xp)) /\ (aNaturalNumber0 (xk))) => ((sdtlseqdt0 (xp) (xk)) \/ (((xk) != (xp)) /\ (sdtlseqdt0 (xk) (xp))))) ((xk) = (xp)) (-. (sdtlseqdt0 (xp) (xk))) (aNaturalNumber0 (xk)) (aNaturalNumber0 (xp)) ### DisjTree 1 2 3 5 % 245.76/246.01 7. (All W1, (((aNaturalNumber0 (xp)) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 (xp) W1) \/ ((W1 != (xp)) /\ (sdtlseqdt0 W1 (xp)))))) (aNaturalNumber0 (xp)) (aNaturalNumber0 (xk)) (-. (sdtlseqdt0 (xp) (xk))) ((xk) = (xp)) ### All 6 % 245.76/246.01 8. (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) \/ ((W1 != W0) /\ (sdtlseqdt0 W1 W0)))))) ((xk) = (xp)) (-. (sdtlseqdt0 (xp) (xk))) (aNaturalNumber0 (xk)) (aNaturalNumber0 (xp)) ### All 7 % 245.76/246.01 9. (-. ((xk) != (xp))) (aNaturalNumber0 (xp)) (aNaturalNumber0 (xk)) (-. (sdtlseqdt0 (xp) (xk))) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) \/ ((W1 != W0) /\ (sdtlseqdt0 W1 W0)))))) ### NotNot 8 % 245.76/246.01 10. (aNaturalNumber0 (xk)) (-. (aNaturalNumber0 (xk))) ### Axiom % 245.76/246.01 11. (aNaturalNumber0 (xp)) (-. (aNaturalNumber0 (xp))) ### Axiom % 245.76/246.01 12. (-. (sdtlseqdt0 (xk) (xp))) (sdtlseqdt0 (xk) (xp)) ### Axiom % 245.76/246.01 13. (-. (sdtlseqdt0 (xp) (xk))) (sdtlseqdt0 (xp) (xk)) ### Axiom % 245.76/246.01 14. (((xp) != (xk)) /\ (sdtlseqdt0 (xp) (xk))) (-. (sdtlseqdt0 (xp) (xk))) ### And 13 % 245.76/246.01 15. (((aNaturalNumber0 (xk)) /\ (aNaturalNumber0 (xp))) => ((sdtlseqdt0 (xk) (xp)) \/ (((xp) != (xk)) /\ (sdtlseqdt0 (xp) (xk))))) (-. (sdtlseqdt0 (xp) (xk))) (-. (sdtlseqdt0 (xk) (xp))) (aNaturalNumber0 (xp)) (aNaturalNumber0 (xk)) ### DisjTree 10 11 12 14 % 245.76/246.01 16. (All W1, (((aNaturalNumber0 (xk)) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 (xk) W1) \/ ((W1 != (xk)) /\ (sdtlseqdt0 W1 (xk)))))) (aNaturalNumber0 (xk)) (aNaturalNumber0 (xp)) (-. (sdtlseqdt0 (xk) (xp))) (-. (sdtlseqdt0 (xp) (xk))) ### All 15 % 245.76/246.01 17. (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) \/ ((W1 != W0) /\ (sdtlseqdt0 W1 W0)))))) (-. (sdtlseqdt0 (xp) (xk))) (-. (sdtlseqdt0 (xk) (xp))) (aNaturalNumber0 (xp)) (aNaturalNumber0 (xk)) ### All 16 % 245.76/246.01 18. (-. ((Ex W0, ((aNaturalNumber0 W0) /\ ((sdtpldt0 (xk) W0) = (xp)))) \/ (sdtlseqdt0 (xk) (xp)))) (aNaturalNumber0 (xk)) (aNaturalNumber0 (xp)) (-. (sdtlseqdt0 (xp) (xk))) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) \/ ((W1 != W0) /\ (sdtlseqdt0 W1 W0)))))) ### NotOr 17 % 245.76/246.01 19. (-. (((xk) != (xp)) /\ ((Ex W0, ((aNaturalNumber0 W0) /\ ((sdtpldt0 (xk) W0) = (xp)))) \/ (sdtlseqdt0 (xk) (xp))))) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) \/ ((W1 != W0) /\ (sdtlseqdt0 W1 W0)))))) (-. (sdtlseqdt0 (xp) (xk))) (aNaturalNumber0 (xk)) (aNaturalNumber0 (xp)) ### NotAnd 9 18 % 245.76/246.01 20. ((aNaturalNumber0 (xn)) /\ ((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 (xp)))) (aNaturalNumber0 (xk)) (-. (sdtlseqdt0 (xp) (xk))) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) \/ ((W1 != W0) /\ (sdtlseqdt0 W1 W0)))))) (-. (((xk) != (xp)) /\ ((Ex W0, ((aNaturalNumber0 W0) /\ ((sdtpldt0 (xk) W0) = (xp)))) \/ (sdtlseqdt0 (xk) (xp))))) ### ConjTree 19 % 245.76/246.01 21. ((aNaturalNumber0 (xk)) /\ (((sdtasdt0 (xn) (xm)) = (sdtasdt0 (xp) (xk))) /\ ((xk) = (sdtsldt0 (sdtasdt0 (xn) (xm)) (xp))))) (-. (((xk) != (xp)) /\ ((Ex W0, ((aNaturalNumber0 W0) /\ ((sdtpldt0 (xk) W0) = (xp)))) \/ (sdtlseqdt0 (xk) (xp))))) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) \/ ((W1 != W0) /\ (sdtlseqdt0 W1 W0)))))) (-. (sdtlseqdt0 (xp) (xk))) ((aNaturalNumber0 (xn)) /\ ((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 (xp)))) ### ConjTree 20 % 245.76/246.01 22. (-. ((-. ((Ex W0, ((aNaturalNumber0 W0) /\ ((sdtpldt0 (xp) W0) = (xk)))) \/ (sdtlseqdt0 (xp) (xk)))) => (((xk) != (xp)) /\ ((Ex W0, ((aNaturalNumber0 W0) /\ ((sdtpldt0 (xk) W0) = (xp)))) \/ (sdtlseqdt0 (xk) (xp)))))) ((aNaturalNumber0 (xn)) /\ ((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 (xp)))) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) \/ ((W1 != W0) /\ (sdtlseqdt0 W1 W0)))))) ((aNaturalNumber0 (xk)) /\ (((sdtasdt0 (xn) (xm)) = (sdtasdt0 (xp) (xk))) /\ ((xk) = (sdtsldt0 (sdtasdt0 (xn) (xm)) (xp))))) ### ConjTree 21 % 245.76/246.01 % SZS output end Proof % 245.76/246.01 (* END-PROOF *) %------------------------------------------------------------------------------