%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV026+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n019.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 : Wed Jul 20 21:49:46 EDT 2022 % Result : Theorem 2.33s 2.52s % Output : Proof 2.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SWV026+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n019.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 15 06:19:24 EDT 2022 % 0.12/0.34 % CPUTime : % 2.33/2.52 % SZS status Theorem % 2.33/2.52 (* PROOF-FOUND *) % 2.33/2.52 (* BEGIN-PROOF *) % 2.33/2.52 % SZS output start Proof % 2.33/2.52 1. ((init) != (init)) ### NotEqual % 2.33/2.52 2. ((s_best7_init) = (init)) ((s_best7_init) != (init)) ### Axiom % 2.33/2.52 3. ((s_sworst7_init) = (init)) ((s_sworst7_init) != (init)) ### Axiom % 2.33/2.52 4. ((s_worst7_init) = (init)) ((s_worst7_init) != (init)) ### Axiom % 2.33/2.52 5. (gt (succ (s_best7)) (n0)) (-. (gt (succ (s_best7)) (n0))) ### Axiom % 2.33/2.52 6. (-. (leq (n0) (s_best7))) (gt (succ (s_best7)) (n0)) ### Definition-Pseudo(leq) 5 % 2.33/2.52 7. (gt (succ (s_sworst7)) (n0)) (-. (gt (succ (s_sworst7)) (n0))) ### Axiom % 2.33/2.52 8. (-. (leq (n0) (s_sworst7))) (gt (succ (s_sworst7)) (n0)) ### Definition-Pseudo(leq) 7 % 2.33/2.52 9. (gt (succ (s_worst7)) (n0)) (-. (gt (succ (s_worst7)) (n0))) ### Axiom % 2.33/2.52 10. (-. (leq (n0) (s_worst7))) (gt (succ (s_worst7)) (n0)) ### Definition-Pseudo(leq) 9 % 2.33/2.52 11. (gt (succ (pv19)) (n0)) (-. (gt (succ (pv19)) (n0))) ### Axiom % 2.33/2.52 12. (-. (leq (n0) (pv19))) (gt (succ (pv19)) (n0)) ### Definition-Pseudo(leq) 11 % 2.33/2.52 13. (gt (succ (pv20)) (n0)) (-. (gt (succ (pv20)) (n0))) ### Axiom % 2.33/2.52 14. (-. (leq (n0) (pv20))) (gt (succ (pv20)) (n0)) ### Definition-Pseudo(leq) 13 % 2.33/2.52 15. (gt (succ (pv1376)) (n0)) (-. (gt (succ (pv1376)) (n0))) ### Axiom % 2.33/2.52 16. (-. (leq (n0) (pv1376))) (gt (succ (pv1376)) (n0)) ### Definition-Pseudo(leq) 15 % 2.33/2.52 17. (gt (succ (n3)) (s_best7)) (-. (gt (succ (n3)) (s_best7))) ### Axiom % 2.33/2.52 18. (-. (leq (s_best7) (n3))) (gt (succ (n3)) (s_best7)) ### Definition-Pseudo(leq) 17 % 2.33/2.52 19. (gt (succ (n3)) (s_sworst7)) (-. (gt (succ (n3)) (s_sworst7))) ### Axiom % 2.33/2.52 20. (-. (leq (s_sworst7) (n3))) (gt (succ (n3)) (s_sworst7)) ### Definition-Pseudo(leq) 19 % 2.33/2.52 21. (gt (succ (n3)) (s_worst7)) (-. (gt (succ (n3)) (s_worst7))) ### Axiom % 2.33/2.52 22. (-. (leq (s_worst7) (n3))) (gt (succ (n3)) (s_worst7)) ### Definition-Pseudo(leq) 21 % 2.33/2.52 23. (gt (succ (minus (n410) (n1))) (pv19)) (-. (gt (succ (minus (n410) (n1))) (pv19))) ### Axiom % 2.33/2.52 24. (-. (leq (pv19) (minus (n410) (n1)))) (gt (succ (minus (n410) (n1))) (pv19)) ### Definition-Pseudo(leq) 23 % 2.33/2.52 25. (gt (succ (minus (n330) (n1))) (pv20)) (-. (gt (succ (minus (n330) (n1))) (pv20))) ### Axiom % 2.33/2.52 26. (-. (leq (pv20) (minus (n330) (n1)))) (gt (succ (minus (n330) (n1))) (pv20)) ### Definition-Pseudo(leq) 25 % 2.33/2.52 27. (gt (succ (n3)) (pv1376)) (-. (gt (succ (n3)) (pv1376))) ### Axiom % 2.33/2.52 28. (-. (leq (pv1376) (n3))) (gt (succ (n3)) (pv1376)) ### Definition-Pseudo(leq) 27 % 2.33/2.52 29. (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (-. (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init))))))) ### Axiom % 2.33/2.52 30. (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (-. (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init))))) ### Axiom % 2.33/2.52 31. (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (-. (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init))))) ### Axiom % 2.33/2.52 32. (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (-. (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init))))) ### Axiom % 2.33/2.52 33. (-. (gt (loopcounter) (n1))) (gt (loopcounter) (n1)) ### Axiom % 2.33/2.52 34. (-. ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))) (-. (gt (loopcounter) (n1))) ### NotImply 33 % 2.33/2.52 35. (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (-. (gt (loopcounter) (n1))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (gt (succ (n3)) (pv1376)) (gt (succ (minus (n330) (n1))) (pv20)) (gt (succ (minus (n410) (n1))) (pv19)) (gt (succ (n3)) (s_worst7)) (gt (succ (n3)) (s_sworst7)) (gt (succ (n3)) (s_best7)) (gt (succ (pv1376)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (s_worst7)) (n0)) (gt (succ (s_sworst7)) (n0)) (gt (succ (s_best7)) (n0)) ((s_worst7_init) = (init)) ((s_sworst7_init) = (init)) ((s_best7_init) = (init)) ### DisjTree 1 2 3 4 6 8 10 12 14 16 18 20 22 24 26 28 29 30 31 32 34 % 2.33/2.52 36. ((s_best7_init) = (init)) ((s_best7_init) != (init)) ### Axiom % 2.33/2.52 37. ((s_sworst7_init) = (init)) ((s_sworst7_init) != (init)) ### Axiom % 2.33/2.52 38. ((s_worst7_init) = (init)) ((s_worst7_init) != (init)) ### Axiom % 2.33/2.52 39. (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (-. (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init))))))) ### Axiom % 2.33/2.52 40. (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (-. (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init))))) ### Axiom % 2.33/2.52 41. (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (-. (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init))))) ### Axiom % 2.33/2.52 42. (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (-. (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init))))) ### Axiom % 2.33/2.52 43. (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))) (-. (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) ### Axiom % 2.33/2.52 44. (-. ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))) (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))) ### NotImply 43 % 2.33/2.52 45. (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (gt (succ (n3)) (pv1376)) (gt (succ (minus (n330) (n1))) (pv20)) (gt (succ (minus (n410) (n1))) (pv19)) (gt (succ (n3)) (s_worst7)) (gt (succ (n3)) (s_sworst7)) (gt (succ (n3)) (s_best7)) (gt (succ (pv1376)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (s_worst7)) (n0)) (gt (succ (s_sworst7)) (n0)) (gt (succ (s_best7)) (n0)) ((s_worst7_init) = (init)) ((s_sworst7_init) = (init)) ((s_best7_init) = (init)) ### DisjTree 1 36 37 38 6 8 10 12 14 16 18 20 22 24 26 28 39 40 41 42 44 % 2.33/2.52 46. ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) ((s_best7_init) = (init)) ((s_sworst7_init) = (init)) ((s_worst7_init) = (init)) (gt (succ (s_best7)) (n0)) (gt (succ (s_sworst7)) (n0)) (gt (succ (s_worst7)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv1376)) (n0)) (gt (succ (n3)) (s_best7)) (gt (succ (n3)) (s_sworst7)) (gt (succ (n3)) (s_worst7)) (gt (succ (minus (n410) (n1))) (pv19)) (gt (succ (minus (n330) (n1))) (pv20)) (gt (succ (n3)) (pv1376)) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) ### Imply 35 45 % 2.33/2.52 47. (leq (pv1376) (n3)) (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (gt (succ (minus (n330) (n1))) (pv20)) (gt (succ (minus (n410) (n1))) (pv19)) (gt (succ (n3)) (s_worst7)) (gt (succ (n3)) (s_sworst7)) (gt (succ (n3)) (s_best7)) (gt (succ (pv1376)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (s_worst7)) (n0)) (gt (succ (s_sworst7)) (n0)) (gt (succ (s_best7)) (n0)) ((s_worst7_init) = (init)) ((s_sworst7_init) = (init)) ((s_best7_init) = (init)) ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) ### Definition-Pseudo(leq) 46 % 2.33/2.52 48. (leq (pv20) (minus (n330) (n1))) ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) ((s_best7_init) = (init)) ((s_sworst7_init) = (init)) ((s_worst7_init) = (init)) (gt (succ (s_best7)) (n0)) (gt (succ (s_sworst7)) (n0)) (gt (succ (s_worst7)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv1376)) (n0)) (gt (succ (n3)) (s_best7)) (gt (succ (n3)) (s_sworst7)) (gt (succ (n3)) (s_worst7)) (gt (succ (minus (n410) (n1))) (pv19)) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (leq (pv1376) (n3)) ### Definition-Pseudo(leq) 47 % 2.33/2.52 49. (leq (pv19) (minus (n410) (n1))) (leq (pv1376) (n3)) (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (gt (succ (n3)) (s_worst7)) (gt (succ (n3)) (s_sworst7)) (gt (succ (n3)) (s_best7)) (gt (succ (pv1376)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (s_worst7)) (n0)) (gt (succ (s_sworst7)) (n0)) (gt (succ (s_best7)) (n0)) ((s_worst7_init) = (init)) ((s_sworst7_init) = (init)) ((s_best7_init) = (init)) ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) (leq (pv20) (minus (n330) (n1))) ### Definition-Pseudo(leq) 48 % 2.33/2.52 50. (leq (s_worst7) (n3)) (leq (pv20) (minus (n330) (n1))) ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) ((s_best7_init) = (init)) ((s_sworst7_init) = (init)) ((s_worst7_init) = (init)) (gt (succ (s_best7)) (n0)) (gt (succ (s_sworst7)) (n0)) (gt (succ (s_worst7)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv1376)) (n0)) (gt (succ (n3)) (s_best7)) (gt (succ (n3)) (s_sworst7)) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (leq (pv1376) (n3)) (leq (pv19) (minus (n410) (n1))) ### Definition-Pseudo(leq) 49 % 2.33/2.52 51. (leq (s_sworst7) (n3)) (leq (pv19) (minus (n410) (n1))) (leq (pv1376) (n3)) (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (gt (succ (n3)) (s_best7)) (gt (succ (pv1376)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (s_worst7)) (n0)) (gt (succ (s_sworst7)) (n0)) (gt (succ (s_best7)) (n0)) ((s_worst7_init) = (init)) ((s_sworst7_init) = (init)) ((s_best7_init) = (init)) ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) (leq (pv20) (minus (n330) (n1))) (leq (s_worst7) (n3)) ### Definition-Pseudo(leq) 50 % 2.33/2.52 52. (leq (s_best7) (n3)) (leq (s_worst7) (n3)) (leq (pv20) (minus (n330) (n1))) ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) ((s_best7_init) = (init)) ((s_sworst7_init) = (init)) ((s_worst7_init) = (init)) (gt (succ (s_best7)) (n0)) (gt (succ (s_sworst7)) (n0)) (gt (succ (s_worst7)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv1376)) (n0)) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (leq (pv1376) (n3)) (leq (pv19) (minus (n410) (n1))) (leq (s_sworst7) (n3)) ### Definition-Pseudo(leq) 51 % 2.33/2.52 53. (leq (n0) (pv1376)) (leq (s_sworst7) (n3)) (leq (pv19) (minus (n410) (n1))) (leq (pv1376) (n3)) (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (gt (succ (pv20)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (s_worst7)) (n0)) (gt (succ (s_sworst7)) (n0)) (gt (succ (s_best7)) (n0)) ((s_worst7_init) = (init)) ((s_sworst7_init) = (init)) ((s_best7_init) = (init)) ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) (leq (pv20) (minus (n330) (n1))) (leq (s_worst7) (n3)) (leq (s_best7) (n3)) ### Definition-Pseudo(leq) 52 % 2.33/2.52 54. (leq (n0) (pv20)) (leq (s_best7) (n3)) (leq (s_worst7) (n3)) (leq (pv20) (minus (n330) (n1))) ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) ((s_best7_init) = (init)) ((s_sworst7_init) = (init)) ((s_worst7_init) = (init)) (gt (succ (s_best7)) (n0)) (gt (succ (s_sworst7)) (n0)) (gt (succ (s_worst7)) (n0)) (gt (succ (pv19)) (n0)) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (leq (pv1376) (n3)) (leq (pv19) (minus (n410) (n1))) (leq (s_sworst7) (n3)) (leq (n0) (pv1376)) ### Definition-Pseudo(leq) 53 % 2.33/2.52 55. (leq (n0) (pv19)) (leq (n0) (pv1376)) (leq (s_sworst7) (n3)) (leq (pv19) (minus (n410) (n1))) (leq (pv1376) (n3)) (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (gt (succ (s_worst7)) (n0)) (gt (succ (s_sworst7)) (n0)) (gt (succ (s_best7)) (n0)) ((s_worst7_init) = (init)) ((s_sworst7_init) = (init)) ((s_best7_init) = (init)) ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) (leq (pv20) (minus (n330) (n1))) (leq (s_worst7) (n3)) (leq (s_best7) (n3)) (leq (n0) (pv20)) ### Definition-Pseudo(leq) 54 % 2.33/2.52 56. (leq (n0) (s_worst7)) (leq (n0) (pv20)) (leq (s_best7) (n3)) (leq (s_worst7) (n3)) (leq (pv20) (minus (n330) (n1))) ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) ((s_best7_init) = (init)) ((s_sworst7_init) = (init)) ((s_worst7_init) = (init)) (gt (succ (s_best7)) (n0)) (gt (succ (s_sworst7)) (n0)) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (leq (pv1376) (n3)) (leq (pv19) (minus (n410) (n1))) (leq (s_sworst7) (n3)) (leq (n0) (pv1376)) (leq (n0) (pv19)) ### Definition-Pseudo(leq) 55 % 2.33/2.52 57. (leq (n0) (s_sworst7)) (leq (n0) (pv19)) (leq (n0) (pv1376)) (leq (s_sworst7) (n3)) (leq (pv19) (minus (n410) (n1))) (leq (pv1376) (n3)) (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (gt (succ (s_best7)) (n0)) ((s_worst7_init) = (init)) ((s_sworst7_init) = (init)) ((s_best7_init) = (init)) ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) (leq (pv20) (minus (n330) (n1))) (leq (s_worst7) (n3)) (leq (s_best7) (n3)) (leq (n0) (pv20)) (leq (n0) (s_worst7)) ### Definition-Pseudo(leq) 56 % 2.33/2.52 58. (leq (n0) (s_best7)) (leq (n0) (s_worst7)) (leq (n0) (pv20)) (leq (s_best7) (n3)) (leq (s_worst7) (n3)) (leq (pv20) (minus (n330) (n1))) ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))) ((s_best7_init) = (init)) ((s_sworst7_init) = (init)) ((s_worst7_init) = (init)) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) (All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) (All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) (-. (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init)))))))))))))))))))))))))) (leq (pv1376) (n3)) (leq (pv19) (minus (n410) (n1))) (leq (s_sworst7) (n3)) (leq (n0) (pv1376)) (leq (n0) (pv19)) (leq (n0) (s_sworst7)) ### Definition-Pseudo(leq) 57 % 2.33/2.53 59. (-. ((((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv9)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv9) (minus (n410) (n1))) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))))))))))))))))))))))))) => (((init) = (init)) /\ (((s_best7_init) = (init)) /\ (((s_sworst7_init) = (init)) /\ (((s_worst7_init) = (init)) /\ ((leq (n0) (s_best7)) /\ ((leq (n0) (s_sworst7)) /\ ((leq (n0) (s_worst7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (s_best7) (n3)) /\ ((leq (s_sworst7) (n3)) /\ ((leq (s_worst7) (n3)) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n3))) => ((a_select2 (s_values7_init) C) = (init)))) /\ ((All D, (((leq (n0) D) /\ (leq D (n2))) => ((a_select2 (s_center7_init) D) = (init)))) /\ ((All E, (((leq (n0) E) /\ (leq E (minus (n3) (n1)))) => ((a_select2 (s_try7_init) E) = (init)))) /\ ((gt (loopcounter) (n1)) => (((pvar1400_init) = (init)) /\ (((pvar1401_init) = (init)) /\ ((pvar1402_init) = (init))))))))))))))))))))))))))) ### ConjTree 58 % 2.33/2.53 % SZS output end Proof % 2.33/2.53 (* END-PROOF *) %------------------------------------------------------------------------------