What does it mean to be spiritual but not religious: Solomon and the two prostitutes.

The bible teach to us what means to be spiritual but not religious in the case of the King Solomon and the two prostitutes, 1 Kings 3:16-28. King Solomon teaches us that the true spirituality consists in seeking in our interior, in that inner teacher, the wisdom of God, and not in following a particular religion.
King Solomon in a famous trial resolves by capturing the personality of God, he resolves as God in person (he is a person full of the Holy Spirit), Solomon emulates God.
First he listen to the testimonies of the prostitutes (perceive with attention), then he decides a strategy by faking a decision (meditates with intuition and inspiration), finally in front of the reaction of the prostitutes he finds the truth (perceive with attention the prostitutes and decide). This form of Justice is known as exact justice, book Rhetoric of Aristotle, this is not a case of prudence.
"Now two prositutes came to the king and stood before him. One of them said, "Oh, my Lord. This woman and I live in the same house, and I had a baby while she was there with me. The third day after my child was born, this woman also had a baby. We were alone; there was no one in the house but the two of us.
During the night this woman's son died because she lay on him. So she got up in the middle of the night and took my son from my side while I your servant was asleep. She put him by her breast and put her dead son by my breast. The next morning, I got up to nurse my son - and he was dead! But when I looked at him closely in the morning light, I saw that it wasn't the son I had borne."
The other woman said, "No! the living one is my son; the dead one is yours".
But the first one insisted, No! the dead one is yours; the living one is mine". And so they argued before the king.
The king said, "This one says, "My son is alive and your son is dead", while that one says, "No! Your son is dead and mine is alive".
Then the king said, "Bring me a sword". So they brought a sword for the king. He then gave an order: "Cut the living child in two and give half to one and half to the other".
The woman whose son was alive was deeply moved out of love for her son and said to the king, "Please, my lord, give her the living baby! Don't kill him!"
But the other said, "Neither, I nor you shall have him. Cut him in two!"
Then the king gave his ruling: "Give the living baby to the first woman. Do not kill him; she is his mother."
When all Israel heard the veredict the king had given, they held the king in awe, because they saw that he had wisdom from God to administer justice.
The book of James call to us to live with simplicity and humility the spiritual life, to be wise as god is wise: