Work with TSF v3.0.6 or lower. Disable TSF when shortcodes are found in content.

disable-tsf-on-shortcode.php

<?php
//* Don't include the PHP tag.


add_action( 'the_seo_framework_init', function() {
	//! Set shortcodes here.
	function get_tsf_excluded_shortcodes() {
		return array(
			'my-first-shortcode',
			'my-first-shortcode',
			'my-second-shortcode',
		);
	}

	//= Disable titles preemptively.
	add_filter( 'the_seo_framework_overwrite_titles', '__return_false' );
	function reenable_tsf_titles() {
		$tsf = the_seo_framework();

		//* Removes all pre_get_document_title filters.
		\remove_all_filters( 'pre_get_document_title', false );

		//* New WordPress 4.4.0 filter. Hurray! It's also much faster :)
		\add_filter( 'pre_get_document_title', array( $tsf, 'title_from_cache' ), 10 );
		//* Override AnsPress Theme Title
		\add_filter( 'ap_title', array( $tsf, 'title_from_cache' ), 99, 1 );
		//* Override Woo Themes Title
		\add_filter( 'woo_title', array( $tsf, 'title_from_cache' ), 99 );

		/**
		 * Applies filters 'the_seo_framework_manipulate_title' : boolean
		 * Disables the title tag manipulation on old themes.
		 * @since 2.4.1
		 */
		if ( \apply_filters( 'the_seo_framework_manipulate_title', true ) ) {
			//* Override WordPress Title
			\add_filter( 'wp_title', array( $tsf, 'title_from_cache' ), 9, 3 );
		}
	}

	add_action( 'wp', function() {
		//= Reset if not singular.
		if ( ! is_singular() ) {
			reenable_tsf_titles();
			return;
		}

		global $post;
		$tsf = the_seo_framework();

		//= Reset if something's wrong.
		if ( ! isset( $post->post_content ) ) {
			reenable_tsf_titles();
			return;
		}

		//= Check if shortcodes are found in the content.
		$exclude = false;
		foreach ( get_tsf_excluded_shortcodes() as $shortcode ) {
			$exclude = has_shortcode( $post->post_content, $shortcode );
			if ( $exclude ) break;
		}
		if ( $exclude ) {
			remove_action( 'template_redirect', array( $tsf, '_init_custom_field_redirect' ) );
			remove_action( 'wp_head', array( $tsf, 'html_output' ), 1 );
		} else {
			//= Reset if shortcodes aren't found.
			reenable_tsf_titles();
		}
	}, 0 );
}, -1 );

This no longer works with TSF v3.1+